diff --git "a/data/dm_maths/full_data/2303_11255.jsonl" "b/data/dm_maths/full_data/2303_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2303_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate -2 divided by -139.\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*d**2 - 23*d**6 + 65*d - 65*d wrt d?\nAnswer: -2760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -91, -120, -149, -178, -207?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62634620 - -3635142. Let l = y - -58999479.03999947. Let j = -1.04 + l. What is j rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 80.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 + 0 = 0. Suppose 4*c + 5*s - 2*s = 35, -w*c + s = -36. Let t = c + 1. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 79.5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 + 101.688. Let i = k - -0.311823. What is i rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 14*v**2 + 2*v - 4. Suppose -4*j - 14 - 2 = 4*w, 5*w - 2*j - 15 = 0. What is k(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 - 162 = 5*g. What is the second derivative of 14*w - 15*w**2 + 20*w + g*w**2 wrt w?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(0 + -1 + 3). Solve -10 = -y*v - 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-7))\/(4\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.73093 millilitres in litres?\nAnswer: 0.04573093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*-1 + -2.\nAnswer: -12*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 12*t + 1 = 0. List the prime factors of (-6 + t)*4\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r - 1. Let w be y(-3). Let x be 2\/w - 6\/(-8). Is 1 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/55, 3, 1864 in decreasing order.\nAnswer: 1864, 3, 2, -1\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4238143610.\nAnswer: 2, 5, 19, 31, 37871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 9. Let v be t(18). Let x(p) = 5*p**3 - 4*p**3 + 4*p**2 - 10*p - 2*p**3 + 6*p**2 + v. Let c be x(9). Solve -3*b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.6817 + -1.3183. Which is the second biggest value? (a) t (b) 168 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + w + 52 - 18*w + 5*w + 32*w.\nAnswer: 15*w + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5))**27*(g*g*g**2)\/(g**(4\/7)\/g*g*g))**(-28\/3) assuming g is positive.\nAnswer: g**(-1852\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhtvhyddvhd. Give prob of picking 1 d and 1 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 4206111.\nAnswer: -21030555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 3. Let k(q) = 3*q - 7. Suppose 3*i = 2*d - 21, -38 = -4*d + 3*i - i. Let m(f) = d*n(f) - 4*k(f). Let h(x) = -3*x + 1. Give -3*h(p) + 2*m(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + -1 - -2 - -6. Factor 4*h**4 - 3*h - 9*h**c + 6 - 4*h**3 - h**4 + 7*h**3.\nAnswer: 3*(h - 1)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6551604 a multiple of 1971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*y - 1503 + 294. What is the units digit of 13\/(y\/(-12)) - (-14 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/12 and 3\/36572?\nAnswer: 109716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, 8, 5 in descending order.\nAnswer: 8, 5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122*-4.6.\nAnswer: -561.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -23*l**3 - 2531*l**2 - 102*l + 291. Determine m(-110).\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 19 - 76. Let p(t) = 8*t - 14. Let o(j) = 21*j - 43. Let r(q) = 3*o(q) - 8*p(q). Let f be r(n). What is the closest to 4 in 4, f, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25775?\nAnswer: 5, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 7, n: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1615432 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-152)\/95)\/(-2) + 124\/(-130).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 3:46 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 24441?\nAnswer: 24435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 11) to base 7.\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006253665 rounded to seven dps?\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222122 - -102000?\nAnswer: -120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/19))**19*(a\/a**(2\/7))\/a**(-8\/7) assuming a is positive.\nAnswer: a**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(136\/(-16)))\/((-4)\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 2\/3 (c) 9.7 (d) -1\/576\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 5 + 206*(-17)\/(-34)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-403)\/(-11 + -20) + (-4 - 1). Let j(m) = 2*m - 12. Let d be j(16). Solve f*w - d = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 56.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 865286*q**2 - 93617233280*q - 5894451876600.\nAnswer: -2*(q + 63)*(q + 216290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -12*o**3 - 78*o**2 + 34*o + 18. Let s be y(-7). Solve -66*b + s*b - 40 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -266 (b) -7 (c) -861\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 1:44 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 6454*n**2 + 12591072*n - 6607516032.\nAnswer: (n - 2808)**2*(n - 838)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.071 + 0.329. Let t = p + -0.3. Let j = 0.4 + t. Which is the nearest to -3? (a) 5 (b) 3\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3*q = 10, -5*q = 5137*b - 5139*b - 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, u: 7, t: 2, s: 1, o: 1}. Give prob of sequence tt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137.9, -3, 5, -4.3.\nAnswer: -4.3, -3, 5, 137.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-2 + -2)) + (0 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -24*y + 250. Give h(6).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b0a9b (base 12) in base 5?\nAnswer: 24322110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1254 = -3*t + 104, -3395 = 5*i - 4*t. Which is smaller: i or -682?\nAnswer: -682","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-58)\/(-7) - 12\/42. Let o be (b\/60)\/(1\/6). Factor 0 - 2\/5*s**2 + o*s.\nAnswer: -2*s*(s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**3 - 4 + 5*a + 0*a**3 - 3*a**3 - 5*a**2. Let i be m(4). Suppose i = p - 3*p + 4. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*l**2 + 21*l**2 - 140*l - 300 + 10*l**2 + 9*l**2.\nAnswer: 5*(l - 30)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*s + 11*s + 1107 = -179262. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j + 6*j - 2 + 2*j - 2*j. Calculate t(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:08 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i + 10. Let w be n(-4). Let m be (-4)\/(-10) - 13\/(-5). Solve m*g - w*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 560 divide 181487040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 381086 + -381086. Find i such that 0*i**2 + 0*i**4 + a - 3\/4*i**5 + 3\/2*i**3 - 3\/4*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 211418622 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624068 is divided by 265.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + d + 1. Let k(z) = -z**5 + 5*z**3 + 27*z + 5. Let j(t) = 2*k(t) - 10*x(t). Find the second derivative of j(u) wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, j: 9}. Give prob of sequence jdd.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/9*-2*16\/4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3)\/((-4)\/(-24)). Let o be t\/(-8) + (-27)\/(-6). Solve o*q = -0*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1654 - -2710. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) -72 (c) -3\/2 (d) -3\/31 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/75, 5, 1, 0.4, -1\/8 in descending order.\nAnswer: 5, 1, 0.4, 4\/75, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 19*q**2 + 2*q + 8. Let z be w(19). Let b = 53 - z. Solve x + 2 = b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**2))\/c)**5\/(c**(-1)*c**13))**(3\/25) assuming c is positive.\nAnswer: c**(-81\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 21 = 88*y. Let m(z) = 2*z**2 + 3*z + 33. What is m(y)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4929267 is divided by 1538?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -135912 at most as big as -135911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 3*b)*(2 - 3 + 3) + (-1 + 0 + 3)*(-2*b + 665 + 4*b - 669) as d*b + x and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q - 15*q + 9*q + 29*q to i*q + u and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 18 + 45 - 22 + 4*f - 20.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 289718 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y*y*y**10)\/y)))**18\/((y\/((y\/(y\/(y*y**(-14\/9))))\/y))\/(y\/(y\/(y*y\/y**(-3\/14))))) assuming y is positive.\nAnswer: y**(24905\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 467 divided by 10054\nAnswer: 467\/10054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48167, 192864, 434043, 771704?\nAnswer: 1205847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 1533*v**5\/20 + v**3\/3 + 2329*v**2\/2 + 100*v - 5. Differentiate r(i) wrt i.\nAnswer: 4599*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82157.77ml in litres?\nAnswer: 82.15777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-258)\/(-15) + -18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/335724 and 29\/372.\nAnswer: 10407444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89651\/19632 - 5\/1227. Suppose 625 = -5*a + 5*i, 2*a = 5*i - 10*i - 271. Calculate the common denominator of h and ((-808)\/a)\/((-1)\/1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 3*p + 2)*(-18655 - 15*p - 18685 + 37207).\nAnswer: 45*p**2 + 414*p + 133","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27089 - a**2 + 3*a**2 - 27089.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2636 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -348*w**2 - 84*w + 13. Let o(d) = 102*d. What is a(o(x))?\nAnswer: -3620592*x**2 - 8568*x + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -32. What is the nearest to 2\/7 in -0.2, v, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 15 = 3*p, 3*p + w + 9 = 12. Factor 0*g**p + 0 + 0*g + 0*g**3 + 2\/9*g**4.\nAnswer: 2*g**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 2 + -3 - (-95)\/19. Let b = 17 - 25. Calculate the remainder when 25 is divided by (1 + b\/(-20))*y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 373787.16418582 + -374274.16419. Let w = g + 487. Round w to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvozoovovov. What is prob of sequence voo?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + k = -4*y, 4*k = 4*y + 12. Let h = -6\/7 + 55\/56. Which is bigger: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ini.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38634.\nAnswer: 2, 3, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 206047.1 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31508 divided by -2\nAnswer: 15754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/3 + 3145*s\/3 - 21868 = 0.\nAnswer: 21, 3124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*sqrt(11)*-2)**2.\nAnswer: 64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -6112 - 6238. What is the hundreds digit of 3 + (4\/26 - (-122100)\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3388 + 5704. Let b = 46291\/20 - q. What is the common denominator of (-2)\/8 + (-53)\/6 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 44 (b) 4\/9 (c) -2\/5 (d) 0 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.115997 to three decimal places.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/7 - 2\/(-7). Let u = 1490 - 1477. Suppose -25 = -k - b*k, u = -r + 2*k. Which is greater: -6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 93\/(-9) - 1\/(-3). Let h = -6 - f. Let v = -4.2 - -4.4. Which is the closest to -0.1? (a) v (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 - 117 = 28*m + 18 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(3 + sqrt(343)*-5 + 1))**2.\nAnswer: -3360*sqrt(7) + 137344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -215 divided by 5\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13712.04l in millilitres?\nAnswer: 13712040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -388195*g**4 - 4*g**3 + 8464969*g**2?\nAnswer: -9316680*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 29 - (-3 - -10). Suppose 0 = 27*r + b*r - 6314. What is the remainder when r is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/42 and -37\/33856218.\nAnswer: 236993526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1105 + 1104. What is the second smallest value in 1\/4, 2.8, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2433114 + -121332?\nAnswer: -3110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.51245 millennia to decades.\nAnswer: 51.245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1331436 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 10:21 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, y: 2, a: 1, u: 1, d: 1, j: 2}. Give prob of sequence jdy.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137\/3 + 47. Let j(n) = 24*n - 718. Let g be j(30). Let -2\/3*c**g + 2\/3*c + u = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 95 + -7 + 1\/(-1). Let p = 28058\/5 + -5699. Let k = x + p. Is 0 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42720 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 832\/20 + 1 + (-174)\/290. Solve -3*i = 4*i + b for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 33 + 165. Suppose -a = a - j. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6e - b5?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2\/11 - 788701*q\/11 - 71700 = 0.\nAnswer: -788700, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016117 to 5 decimal places.\nAnswer: -0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111246.\nAnswer: 2, 3, 18541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 195 + -201. Let c be (-2 + 13\/6 + -1)*p. Solve 0 = 3*i + c + 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -481\/354?\nAnswer: -481\/354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m + 12 = 0. Suppose q - 4 = g - 8, -5*g = -m*q - 20. Suppose 3*a + 1 - 22 = q. What is the smallest common multiple of a and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22760.\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*p - 1, p - 1 = 4*v + 4. What is the common denominator of (-72)\/(-176)*(1 - v) and (-59)\/12 + 2\/(-8)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 532864?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1802 and -52661?\nAnswer: 9489.5122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 1311122011?\nAnswer: 1311122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17603?\nAnswer: 29, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 30\/(3 + (-4)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1315334 days in milliseconds?\nAnswer: 11364485.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swvw when four letters picked without replacement from xsssswssswwwvv?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29547 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*g = 39, -7*g + 17 = -s - 2*g. Let h be s - -2 - (-2 - 1). What are the prime factors of (-5)\/(((-5)\/h)\/(-5))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 11, u: 1, v: 2}. What is prob of sequence vv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 84, 118, 162, 222, 304, 414?\n\"Answer: y**3 - y**2 + 30*y + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -25, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*1\/(-4)*4. Suppose 0 = 5*k + 25, 2*k + 2*k = c*i - 45. Let j = i - 5. Solve -3*b - 5*n - 13 = j, -n - 1 = 3*b - 2*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/5 - 6354*x**3\/5 + 3306771*x**2\/5 + 61074648*x\/5 + 277171632\/5.\nAnswer: 3*(x - 1068)**2*(x + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/18*6*(-1)\/1. Suppose -o = 3*o + m*o. Suppose -5*g + 96 + 121 = 4*r, g + 5*r - 35 = o. 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: What is the remainder when 13337 is divided by 6656?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 4*f**2 - f + 8. Let l be j(3). Suppose 103 + 207 = -5*w. Let r = l - w. Put r, 34, 1, -4 in decreasing order.\nAnswer: 34, r, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Suppose a*l + 6 = l. Calculate the lowest common multiple of (-3)\/(-9) + (-118)\/l and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(11))*1 + -4.\nAnswer: -8 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 + 32*x - 12. Calculate d(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x - 18. Let k be a(2). Suppose -4*d - 4624940 + 1264940 = k. Round d to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38486820 is divided by 471.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27\/70 - -11\/14. Let m(v) = v**3 - 41*v**2 - 46*v + 3440. Let c be m(40). Find a, given that 0 + k*a**3 + c*a - 2\/5*a**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100142433?\nAnswer: 3, 1051, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/5)\/2)\/((-6118)\/805).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -82 and -30082248.52.\nAnswer: -30082330.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/88 - (-10)\/55.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -10*i - 38, -26 - 28 = -6*i + 11*i + 3*h - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2 + 1. Let n(g) = 1051*g**3 - 15*g**2 + 1240. Let w(h) = n(h) - 5*u(h). Differentiate w(r) wrt r.\nAnswer: 3153*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 8:16 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 8*w**2 - 3*w + 4. Let s be n(5). Suppose -6*c + s = -32. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/14 (b) 2\/43 (c) -1\/5 (d) 55.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12747, 50985, 114701, 203895, 318567?\n\"Answer: 12739*z**2 + 21*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.21 - -2.31. Let b = -0.021 + -0.056. Let u = b - 0.023. Sort h, u, -0.5 in increasing order.\nAnswer: -0.5, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Let w = n - -3. Let f = 1 - w. Which is the third biggest value? (a) f (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 95872*f**2 - f + 95878*f**2 - 191755*f**2 - 2*f**3 + 33*f**4 in the form d*f + h*f**3 + u*f**4 + w*f**2 + j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, -6, -3, 42, -2, -1 in descending order.\nAnswer: 42, -1, -2, -3, -6, -195","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 4.768, -1\/7, 62 in decreasing order.\nAnswer: 62, 4.768, 4\/7, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((11 - 3) + -3 - (0 - -21)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Let n(z) = -z**2 - 16*z - z**2 - 6*z**f + 2*z**2. Let a(w) = 2*w**2 + 5*w. What is 16*a(y) + 5*n(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 - 8*h - 3 + 5131*h**4 - 4992*h**4 + 0*h**3 + 7*h in the form u*h**3 + v*h + b + d*h**4 + f*h**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 - 33*r**2 + 144*r - 148 = 0.\nAnswer: -37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1. Let l(u) = 4*u**2 - 2*u**2 - u**2 - 11. Let h(q) = -4*l(q) - 44*z(q). Let g(d) be the first derivative of -2*d**3\/3 + 20. Give h(g(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6830*d + 13701. What is y(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -117071 (base 8) to base 15\nAnswer: -c005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 55. Suppose w*x - 251 = 7. Let f = x - 24. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12785 - -12786.3. Sort w, -5, -0.1, -0.2, 1\/31 in ascending order.\nAnswer: -5, -0.2, -0.1, 1\/31, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a - 5*x - 1, 0 = 3*a - 5*x - 9. Let k = a + 0. Suppose -3 = n - k. Let w(j) = j - 6. Give w(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 45 = -2*l, 2*l = -37*g + 35*g + 10. Let i(z) = z**2 - 14*z - 9. Determine i(g).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -21. Find the common denominator of s and -7\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 5*j)*((-4 - 1 + 3)*(3*j**2 + j**2 - 3*j**2) - 197*j**2 - 295*j**2 - 73*j**2).\nAnswer: 2835*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12903*d - 15747 with respect to d.\nAnswer: 12903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.355 minus -3117692783.1?\nAnswer: 3117692785.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 497272661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13376202 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*z = 3*z + 504 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -16*r + 10*r - 169 + 54*r. Calculate the remainder when 91 is divided by q(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -225 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 84.66 and 18.\nAnswer: 102.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -1\/5 (c) -75 (d) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/14 and -9\/6734?\nAnswer: 6734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*s - 460, 77 = 4*o - 5*s - 291. Calculate the remainder when 642 is divided by o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -25, -17, -7, 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12360*q - 16839*q - 13602*q + 13817*q - 11276*q)*(q - q + 3*q**2) to h*q**2 + d + b*q + i*q**3 and give i.\nAnswer: -120780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 47\/26 (b) -2\/19 (c) -8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7728 is divided by (31041\/(-234) - (-64)\/416)*4\/(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567307.\nAnswer: 13, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3152*j**3 - 6 + 507*j**2 - 1 + 4 + 3 - 7 wrt j.\nAnswer: -18912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 10*z**2 + 26*z - 27. Let b(j) = 2*j - 6. Let o be b(9). Let y be i(o). What is the nearest to 4 in y, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2267710529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -2*m + 99. Let f = -5 + 10. Suppose -f*j + 76 = 2*d, -5*j - 2*d - 3*d + 70 = 0. Calculate the greatest common factor of j and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*f + 1063 + 501. Suppose -9*k + f - 14 = 0. Solve -5*i = -3*i - k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:07 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 times 0.511?\nAnswer: 19.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20 and 48.83.\nAnswer: 68.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*f = -84240099, 0 = j - 4*j + f + 84240105. Let z be -1 + -2 + j\/12. Round z to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from -1.437.\nAnswer: -1.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 6:28 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10907475 - 3381314007\/310. Let v = -6\/155 - w. Calculate the common denominator of -16\/11 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(425))**2.\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25975899, 25975898, 25975897?\n\"Answer: -c + 25975900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 40*l**2 + 269*l + 5. Calculate y(-10).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23271*z**2 + 104*z + 114665*z**2 - 105*z + 77736*z**2.\nAnswer: 215672*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5796 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, 2, 0 in descending order.\nAnswer: 2, 0, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 5 + 4)*(-5*u**5 + 3*u**5 + 0*u**5).\nAnswer: -60*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 83.\nAnswer: 18\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1130360 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-264)\/(-112) - (60\/(-14))\/(-5). Let j be (-8)\/(-5) + (0 - 2). Which is the third biggest value? (a) x (b) j (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3084*k**2 + 981*k**2 - 236*k + 1096*k**2 - 539*k wrt k.\nAnswer: 10322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 65*d - 210. Calculate k(-33).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:30 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - 0) - (1041 + -1057)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 2928*p**3 - 3821*p - 6491. Differentiate g(x) wrt x.\nAnswer: 17568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 48.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 - 774*g + 23754. What is j(113)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from avgevapaevepav?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 227 - 320. Let r = 91 + p. Let b = -2 - -10. Sort r, b, -3\/5 in descending order.\nAnswer: b, -3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 3*b**2 + 4*b - b**2 + 7 - 1. Does 11 divide g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 35. Suppose -4*a - g = -22. Let w = 7 + a. Calculate the smallest common multiple of w and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9294376 divided by -364.\nAnswer: -25534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, 29, 36, 41, 44, 45?\n\"Answer: -u**2 + 12*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270255 = 283*t - 1344523. Is t a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 0. Let g = 0.1 - o. Suppose b = 6*b + 5*t - 5, 2*t + 1 = -b. What is the closest to g in 1, b, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36309 and 46.4.\nAnswer: 36355.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49 + 28*i**4 - 343614*i + 671 + 343607*i wrt i?\nAnswer: 112*i**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 3*p + 36. Let b be s(0). Suppose -4*j = -0*j + b. Let r(u) = u**2 + 8*u. Determine r(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.246 + 1.754. Sort -1, p, 0.17 in decreasing order.\nAnswer: p, 0.17, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 5*l - 4. Let h be o(-5). Sort 3, 5, h in increasing order.\nAnswer: h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 90 + 76 + 23 - 212*i + 8 wrt i.\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222249707 divided by 3?\nAnswer: -222249707\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/15 - (-8)\/(-5). Let l(g) = -4*g - 1. Does 3 divide l(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -da7 (base 16) to base 13\nAnswer: -178b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 44*l**2 - l**3 + 2*l**3 - 43*l**2 - 8*l - 13. Let t be j(9). Suppose -10*w = -5*w - t. Does 32 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 15*r**2 - 4*r**3 + 15*r**2 + 2*r**3 - 4*r + 4*r + (0*r**2 + r**2 - 3*r**2)*(4*r - 2*r + 0*r).\nAnswer: -6*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 245868 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1\/4, 256 in increasing order.\nAnswer: 0, 1\/4, 5, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 + 92\/(-112) + 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2203 - 9*i + 4404 - 2200 to r + v*i and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/6*(0 + -9). Let u(c) = -c**3 - 22*c**2 + 23*c - 8. Is 74 a factor of u(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41721 or -4506029\/108?\nAnswer: -41721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82 in 0.4, -4\/3, -2\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d - 2. Let f be c(-2). Let u = -8 - f. Calculate the least common multiple of 5 and (u\/(-4))\/(3\/(-28)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 66 = -2*m. Let l(y) = y**3 - 22*y**2 + 3*y - 41. Let b be l(m). Solve -3*v - 2*v = b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1576 = 416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 812, 1168, 2134, 4016, 7120, 11752, 18218?\nAnswer: 26824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7767 - 7770.617. Let k = u - 0.083. Let b = -3.70000034 - k. Round b to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6823 + 3027. What are the prime factors of q?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 79*y. Let t(f) = -f**3 - 2*f**2 + 17. Let x be t(-3). Let u(h) = -9*h + x*h - 9*h - 7*h. Determine p(u(c)).\nAnswer: 79*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**2 + 3. Let s(o) = -8*o**2 + 3. Determine 6*b(j) - 5*s(j).\nAnswer: -2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 - 62. What is the lowest common multiple of 40 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24381357 + 1913*l + 24381357.\nAnswer: 1913*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 + 11 - 4 - 8 - c + 0. Give g(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/(-14)*(70\/(-5))\/(-14)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*g**3 - 111*g**3 - 65*g**3 - 46*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b9 - -3?\nAnswer: -3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223602714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 316 divided by 79\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 11) to base 3.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (530\/3 + 0)*(-6)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((140\/(-15))\/14). Factor 0*m - 3\/4*m**2 + 0 - 3\/2*m**3 - c*m**4.\nAnswer: -3*m**2*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1522431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + -13. Let d = 70.9933 + t. What is d rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 48, -0.4, 1\/3, -18?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 222\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndd when three letters picked without replacement from onnddo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -420, -5 in descending order.\nAnswer: 3, -5, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqvqvqvq. What is prob of sequence qqqq?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*h - 145, 2*h - 6*h = -5*c + 143. Let z = h - -50. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0661 - -7358.8.\nAnswer: 7358.8661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/30 + (-16)\/3. Let g = v + 2. Let z(a) = -a. Give z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 5*z)*(7 - 8 + 9).\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -996*k - 1 + 98*k + 1.\nAnswer: -898*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2 - 2)*(-u**3 + u**3 - u**3) + 3*u**4 + 2*u**4 - 4*u**2 + 5*u**2.\nAnswer: 9*u**4 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30565 or 30566?\nAnswer: 30565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3469*u**3 - 3*u**2 + u + 37.\nAnswer: 20814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 1, r: 3, y: 1, i: 1}. What is prob of picking 1 v and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 612*k**3 - 18*k**2 - 5. Let x(i) = -271*i**3 + 10*i**2 + 2. Determine 2*a(n) + 5*x(n).\nAnswer: -131*n**3 + 14*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -850, -1920, -3418, -5344?\nAnswer: -7698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Suppose -i*f + f + 25 = -h, -23 = h - 4*f. Let y = -16 - h. What is the remainder when 28 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 330 - (-1 - 1). Let n = o - 977\/3. Let x = 86\/15 - n. Is -1 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2324733*g*m**3 - 1295*m**3 + 213*m**2 + 2*m wrt g.\nAnswer: 2324733*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - 9.5. Let g = 12.84 + 0.16. Let o = g + q. What is the biggest value in o, -0.2, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4 - p**3 - 1 + 7 + p. Calculate g(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 - 5*m\/4 + 9.\nAnswer: -(m - 4)*(m + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 3. Let t(v) = v - 3. Suppose 24 + 36 = 15*p. Let c be -1 + (p + -12 - -6). What is c*t(g) - 4*f(g)?\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 282512.4t?\nAnswer: 282512400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2743 - -3103. What is the greatest common divisor of o and 1170?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72639 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1850936727 to the nearest integer?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9029 - 1577 = -23*w. Let t = w + 345. What is the remainder when 439 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*t - 3*w - 12 = -318*t, -5*w - 20 = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**5 + b**5 + 0*b**5 + (-5*b - 639*b**3 + 693*b**3 + 2*b)*((b**2 - b**2 - 2*b**2)*(-1 + 5 - 3) + 3*b**2 + 2*b**2 - 2*b**2).\nAnswer: 51*b**5 - 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -49\/2, 3, 1.1 in decreasing order.\nAnswer: 5, 3, 1.1, -49\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2330131 + 0?\nAnswer: -2330131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17917\/3636 - 340\/303. Calculate the common denominator of z and -73\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t + 29381 = 2*t - 31*t + 28139 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 48 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*h + 148347, r - 17607 = 2*h + 31854. What are the prime factors of r?\nAnswer: 3, 16481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, e: 7, y: 5, o: 4}. Give prob of sequence uey.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526.32404 nanoseconds in days?\nAnswer: 0.0000000000176657875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21450311173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1082*k**2 + 11*k + 11. Is u(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**(-2\/29))\/f*f))**(-19\/5) assuming f is positive.\nAnswer: f**(38\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4649793, 9299589, 13949385, 18599181, 23248977?\n\"Answer: 4649796*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-4) + -5 + 1 + -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 945306*l**5 + l**4 - l**3 - 1170734*l**2 wrt l?\nAnswer: 56718360*l**2 + 24*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/88 and -55\/5136.\nAnswer: 56496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Suppose 24 = -0*v - i*v. Let x(y) = 2*y + 5. Let f(u) = u + 2. Let h(q) = v*x(q) + 14*f(q). Find the first derivative of h(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42241412 (base 5) to base 4\nAnswer: 1112013130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4113 - -2906. List the prime factors of r\/(-1) + ((-84)\/(-7) - 8).\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 93 + 40 + 22 + 4*h.\nAnswer: 4*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = 3*i - 198, 2*s + 3287064 = -i + 3287025 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-31)\/2*-54882*(124 + -2). Suppose 98500008 = -5*m - 2*u, -3*u - 24981874 + n = -4*m. What is m rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16398 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i = -4, 4*f - 1532 = -2*i. Suppose -7*x + f = -227. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(288)*2*-6 + sqrt(288) - -6*-2*sqrt(288))**2.\nAnswer: -304704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**3 + 11*s**2 + 10*s - 15. Let o(p) = p**3 + 3*p**2 + p - 2. Let f(m) = -g(m) + 6*o(m). What is f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 2024, 5228, 9638?\nAnswer: 15254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 339\/4. Suppose o - 4*o = -6. Let 0 + 0*h**3 + 0*h + 1\/4*h**o - z*h**4 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 345 = -8*f. Let j = 98 + f. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/7)*x*x)\/x**(-26) assuming x is positive.\nAnswer: x**(205\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*j**3*m*p*t - 7*j**3*m*p - 163*j**3*m*t + 3*j**2*p*t + 2*j**2 - 3*j*m*t - 68*j*p*t + j*t - 2*m*t wrt j.\nAnswer: 546*m*p*t - 42*m*p - 978*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.349 less than -16569100.11?\nAnswer: -16569101.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 341*m + 255*m + 687*m - 181460 + 184515 + 3496*m wrt m.\nAnswer: 4779","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -5 + 12 + (10 - 10))*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -27*c. Let i be l(1). Let o be (-6)\/i + 46\/36. What is the smallest value in -0.3, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81477534.\nAnswer: 2, 3, 13579589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 6) to base 11.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8 - -206.5.\nAnswer: 202.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:04 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-290)\/435)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277.3162nm to meters.\nAnswer: 0.0000002773162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 92 = 744. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61608 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 943*t**2 - 131332*t + 1137400243 wrt t.\nAnswer: 1886*t - 131332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 69. Let q be 18\/i - (-4 + 3). What is the third smallest value in q, 3, -4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -109*s + 210*s - 98*s + 66. Calculate m(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162623984 - -81887.\nAnswer: -162542097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2. Let f(p) = 4*p**3 + 2*p**2 - 5*p**3 - 2*p**2 - 2*p**2. What is f(i) + 3*g(i)?\nAnswer: -i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5223 is divided by 160?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**5\/10 + 5*l**3\/6 - 3*l**2\/2 - 3*l - 63. Let a(c) = -c**3 + 105*c + 0 + 1 - 107*c. Determine 7*a(z) + 3*f(z).\nAnswer: -z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w - 300 = k, w - 285 = -2*k. Suppose -3*z + w = -47. Suppose -11*h + z = -9*h. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 0 - -10) + 1 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.43 + -0.57. Let w = m - -18. Let i = 16\/3 + -77\/15. Which is the smallest value? (a) -2\/5 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 741 and 687363.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 plus 0.05?\nAnswer: -213.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2640571618 minus 0.3?\nAnswer: 2640571617.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 16, 68, 172, 346, 608?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -5, -198, 1, -1\/3, 0.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2645703239.\nAnswer: 113, 317, 73859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4142, -4128, -4110, -4088, -4062?\n\"Answer: 2*k**2 + 8*k - 4152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 29698*q + 5288800.\nAnswer: -2*(q - 15025)*(q + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/4 + -4)*-2. Sort 4, -4, c in ascending order.\nAnswer: -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**5 - k**4 + k**3 + k**2. Let x(r) = 5*r**5 + 15*r**3 - 4*r - 20*r**4 - 12*r + r**3 + 3*r**5 + 20*r**2. Let g(a) = -4*s(a) + x(a). Factor g(l).\nAnswer: 4*l*(l - 2)**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 2 - 2 + (8 - 3 - 3)*(-68 + 3*b - 64 + 120) in the form g + m*b and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, -5, 24\/19, -1, 0.13?\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.121 in -2\/9, 2\/7, -0.3, 1\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -82418*14\nAnswer: -1153852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g + 78 - 54*g - 371 + 14*g.\nAnswer: -28*g - 293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 8*q - 5)*(2 - 3 + 0) - q + 2*q - 3*q + (-2 + 1 + 2)*(-5*q + 4*q - 3 - q).\nAnswer: -12*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 363*h - 362*h - 7. Solve 0 = -2*r + h*m - 5*m + 14, -3*r + 2*m = -16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/(s\/(s*s*s**(-2\/7)))*s**(2\/5)\/(s*s*s\/(s*s*s*s**(2\/9))))\/((s**2)**(9\/4))**(-36) assuming s is positive.\nAnswer: s**(49876\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/7)\/n*n*n*n\/(n*n**(2\/3))*(n*n*n**(5\/3)*n)\/n**(-1)*n**(3\/7)*n*n*n*n**(2\/3)\/n*n*n*n**(-8\/5)*n**1 assuming n is positive.\nAnswer: n**(1072\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3 - 6*w**2 - 4*w + 24 = 0 for w.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1266536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121113323 - 21?\nAnswer: 121113302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20800.5 - -20800. Put -11\/5, x, -3\/4, -6\/5 in ascending order.\nAnswer: -11\/5, -6\/5, -3\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7421174, -14842364, -22263554, -29684744, -37105934, -44527124?\n\"Answer: -7421190*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 2 + 43*l**2.\nAnswer: 43*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 3*g**5 - 2*g - 56*g + 2*g**5 + 56*g + (-3*g**3 - 2*g**3 + 3*g**3)*(-3*g**2 + 0*g**2 + g**2) + 21 - 2*g**5 - 21.\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 2*p - 9. Is w(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6262 and 2626?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 120*d**2 - 48*d + 14. Let q(t) = 61*t**2 - 28*t + 8. Let f(m) = 4*a(m) - 7*q(m). Let n(l) = -l**2 - l. What is f(p) + 4*n(p)?\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from {n: 5, q: 3, b: 4, m: 1, d: 1, r: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -26902640 divided by -73105\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2*i**4 + 12*h**2*i**3 - 53*h**2 + 6*h*i**2 wrt i.\nAnswer: -24*h**2*i + 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -3 + 6 - (2 - 3) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (25 + -5 + -15 + (0 - -5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*q + 15. Let f(g) = -7*g - 18. Let v be f(-3). Suppose 0 = -2*b + l + 2 + 3, -q*b + 13 = -v*l. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {q: 1, t: 3, o: 1, a: 3, g: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2. Suppose 2*z + 1 = 5*z + 5*w, -3*w + 3 = 3*z. Let l(k) = -z + 2 - 2*k. Determine l(s(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1905953903?\nAnswer: 7, 23, 11838223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 greater than 45\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 2*z. Let x be p(-2). Suppose x*g + 4*g = 3*l + 71, 2*g + 17 = -l. Let w = l + 33. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16786 and 16786?\nAnswer: 16786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:35 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718 is divided by 181.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1704?\nAnswer: -1\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2565423 divided by -3.\nAnswer: -855141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 693\/312 + -3 - (-9)\/6 and (-5)\/((-800)\/(-364)) - (-1)\/(-15)*-3?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*x**5 - 160*x wrt x.\nAnswer: 1880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:27 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -1, -3 in ascending order.\nAnswer: -6, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.8 - -22.2. Sort 156, 0.1, y, 0 in ascending order.\nAnswer: 0, 0.1, y, 156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -22. Let x be 1\/(-6)*2\/3. Do x and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*(10\/6)\/(-1). Let h = 37 - u. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 2:16 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 3, 30, 81, 162, 279, 438, 645?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33.3098886 - -21.309886. Let n = -29 + 41. Let v = h + n. What is v rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u + 1\/2*u**2 - 243. Let j(w) = w**3 - 5*w**2 + 3*w + 4. Let g be j(3). Give v(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 b when four letters picked without replacement from ggebgebbbebebb.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10453 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 divided by 6?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r**2 + 3*r - 5. Let p be i(5). Suppose -5*t - 4*q = -p, 2*t - q - 101 = -2*q. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113 - -112. Let l = -93 - -65. Let h = -12 - l. Is h at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2. Let v(j) = 3335*j - 180. Let z(g) = -834*g + 49. Let x(k) = -3*v(k) - 11*z(k). Determine x(b(y)).\nAnswer: -1662*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8*2*-2. Let y = -65 + 65. Let a(f) = 3 - 10*f + y - 2 + 16*f**2 + 11*f. Calculate a(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*w - 80 = 0, -6*a = -a + 5*w + 130. Let x = a + 49. Let o(d) = -80*d**3 + 2*d + 1. Calculate the remainder when o(-1) is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, q: 4, b: 1, t: 1, i: 1}. Give prob of picking 1 q, 1 l, and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - ((9 - (-15 + 15)) + -22)) + (-109 - 3).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2 + 3. Calculate h(-4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573540 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/620 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 466409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 4*r + 747 = -753 + 1504, -9 + 2 = 3*o + r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 491850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*o**3 + 15*b - 664*o**4 - 39*o - 1 wrt o.\nAnswer: 6*b*o - 7968*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -16*s**2 - 2131*s + 10. Give y(-132).\nAnswer: 2518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 0, -6, -24, -60, -120?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 278922546 divided by 7974?\nAnswer: 34979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**7\/30 - g**3 + 5*g**2. Find the first derivative of a(j) wrt j.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 32 = -3*r, 32 = -n + 5*n + 3*r. Let i = -8 + n. Suppose -12 = -i*a - a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - x + 4*x + 378, -3*x = -12. Calculate the remainder when n is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3132)\/(-928))\/((-12)\/(-128))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*t + 33 - 15, -4*t - 9 = -p. Let d be ((-840)\/49)\/(p\/1008). What is d rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 - 679*h**2\/5 + 1343*h - 3345.\nAnswer: (h - 669)*(h - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 238793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049475223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 5, a: 4, r: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:04 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - (-3850)\/(-21))*-3. Suppose s - 632 = -3*g, 2*s - 4*g - k = 736. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11.1, -2, 4, 0.3, -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1088)\/(-1360))\/(32\/30). Let k(n) be the third derivative of 0*n**4 + 20*n**2 + 0*n - 35\/6*n**3 + 0 - d*n**5. Differentiate k(l) wrt l.\nAnswer: -90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*k**5 - 3*k**3 + 3*k**3 + (k**2 - k**2 - 2*k**2)*(-k**3 - 2*k**3 + k**3) + 6*k**4 - 6*k**4 + 3*k**5.\nAnswer: 16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -110211211121?\nAnswer: 110211211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1486321?\nAnswer: 1486321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zghj when four letters picked without replacement from {g: 2, z: 2, j: 1, h: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y - 18 = 864. Calculate the remainder when 82 is divided by 222\/21 + (-18)\/y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-9))\/((-104)\/(-234)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2 = 10. Let m be (-38 - v)*464\/10. Let k = m + 2856. Round k to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149079366 divided by 2322?\nAnswer: -64203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 3 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 25*r - 3. Let a(m) = -m - 1. What is -a(k) + o(k)?\nAnswer: 26*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - d + 18 - 33 - 11 = 0, 95*x = -2*d + 3*d + 663 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.056954 and 3638.\nAnswer: 3638.056954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.420124276 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r**3 + 16*r**3 + 18*r**3 + (-2*r - 3 + 3)*(r**2 + 2*r**2 - 5*r**2) - 3*r**3 + 0*r**3 + r**3 + (-10*r**2 - 11*r**2 + 4*r**2)*(0*r + 2*r + 0*r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31252957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -43. Let k(h) = h**3 - 4*h**2 + h - 3. Let t be k(3). Let p = t - -43. Calculate the remainder when p is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:03 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1422)\/(-3950))\/(-3*(-1)\/(-5))*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(22869\/121))\/(4\/1148*1)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 277*h + 301*h + 2 - 168*h + 121*h to p + b*h and give b.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 8) + 9 + -7 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/(-51))\/(15\/108).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11089802 is divided by 1729.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36045320 by 1.\nAnswer: 36045320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204062365?\nAnswer: 5, 13, 3139421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 3*b + 23*b + 143 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3416037 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 2343295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5024 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-104)\/(-806)*31.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -111, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166.329 + 0.329. Let h = j - -166.1. Which is the nearest to h? (a) 0 (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 - -541. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 6*p**2\/5 - 142*p\/5 + 92\/5 = 0.\nAnswer: 2\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**4 + 0*a**4 + 3*a**4 + 2*a**2 wrt a.\nAnswer: 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f + 5 = -3*l + 25*f, 5*l + 2*f = 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.03314 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31395412 and 6224?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**10\/p)\/p)\/p**(-1))**(-3\/4) assuming p is positive.\nAnswer: p**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12bb7 (base 12) to base 13\nAnswer: -ba46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4))\/(2\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6 + 11786*v**2 - 815*v**2 + 1213*v**2 + 1 - 2433*v + 2279*v wrt v.\nAnswer: 24368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 10*o + 12. Let t be s(9). Suppose 3*n - t*n = -8*n. Let y(l) = -2*l - l**2 + 2*l + n*l. Let q(d) = 18*d. Give q(y(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1058343, -1058343, -1058361, -1058403, -1058475, -1058583, -1058733?\nAnswer: -1058931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165.5 - -194. Let l = -360 + o. Suppose 0*u - 14 = 2*u. What is the smallest value in 4, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 plus -0.194?\nAnswer: 1.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2052)\/(-45) - (-3)\/(-5). Let l be 4\/6*9\/1. Suppose l*t + 15 = 7*t. What is the greatest common factor of s and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 4*a**2 - 399*a + 2656. What is v(18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8113277\/551841 - 20\/19029. Let q = j - 44\/3. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 429, 1108, 1799, 2502, 3217?\n\"Answer: 6*j**2 + 661*j - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1831142 + 68?\nAnswer: 1831210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/30 - 21\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121020112120 (base 3) in base 11?\nAnswer: -864829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 + 7*h**2 + 8*h + 2. Let o(r) = -r**3 - 6*r**2 - 8*r - 3. Let z(u) = 3*o(u) + 2*t(u). Calculate z(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 9) to base 15.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*d**5 - 173*d**4 + 5*d**2 + 260419*d + 2?\nAnswer: -2960*d**3 - 2076*d**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1356*x**2 + 5933*x - 208769477?\nAnswer: -2712*x + 5933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1342112 or 1342110?\nAnswer: 1342112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.862501 less than 0.432?\nAnswer: 28.294501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 22*m**3 + 2*m - 1. Let c be (26 - -8) + 0 + -2 - -3. Let d = c + -27. What is the remainder when y(1) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13137 + 4?\nAnswer: -13133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g - 1455. Let i(h) = -4*h**2. What is i(m(t))?\nAnswer: -64*t**2 + 46560*t - 8468100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(6 + 12) + 88\/16*-3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*x + 3*i, 0 = 3*x + 3*i - 3. Suppose -6 = a - x*a. Suppose 4*c - a = 17. What is the lowest common multiple of c and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3974, -3923, -3870, -3815, -3758, -3699, -3638?\nAnswer: -3575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3757987 and 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30450 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: -3 + 14 - (-10 + 10 + 25)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 1, i: 2, d: 1, e: 2, c: 1}. Give prob of picking 1 d and 1 t.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 103*t + 0 - 2 - 102*t. Let a be b(7). Suppose 3*g - 487 = -a*h + h, 2*g = -5*h + 607. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23533\/9 - -2618. Let d = i + -136\/45. Is d bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3150*m - 3140*m - 561*m**2 - m**3 + 6291*m + 411 + 150*m**2.\nAnswer: -(m - 1)*(m + 1)*(m + 411)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(-10800)\/(-3240)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 35\/(-11) - (-16)\/(-396).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 346884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 526\/3 - 1177\/6. Suppose 20 + 20 = 5*i. What is the common denominator of q and (-26)\/168 + i\/24?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1710)\/(-20))\/19)\/(-12).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f + f**2 - 19*f + 46*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + s - 21634 = 21091, 0 = -2*x - 3*s + 21375. What is x rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0813? (a) -0.08 (b) 1 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.34614 and 0.3.\nAnswer: -2.803842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**3 + 1 + 2*b + 0 - 2*b**3 + b**3 to h*b + c*b**3 + p + y*b**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by -14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 69, 107, 147?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 5\/6*s**4 + 8*s**2 + 0*s**3 + 0 + 4*s - 3\/10*s**5. Let c(r) = -r**3 + 2*r**2 + 3. Calculate -16*c(q) + 3*w(q).\nAnswer: -2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3007\/5 + 1*(-30)\/75. Let q = w + 384. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11728 - -18976. Suppose 16*w + v = 14*w. List the prime factors of w\/(-56) - 4\/(-14).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2178*d*z**4 - 578*d*z**3 + 528*d*z + 2670*z wrt z?\nAnswer: -26136*d*z**2 - 3468*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407 a factor of 174849297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4938314*j + 9010898*j + 8412395*j + 2268233*j.\nAnswer: 14753212*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20836 + b?\nAnswer: -2082b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2753 and 8.5.\nAnswer: 23400.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/870 and 63\/268250?\nAnswer: 804750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -172289832 divided by -1768\nAnswer: 97449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 4:11 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2501*o**5 - 2288*o wrt o?\nAnswer: 50020*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 166?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44, -103, -172, -251?\n\"Answer: -5*u**2 - 44*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067996 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (-1 + sqrt(19))*3 + (sqrt(133)\/(sqrt(7) - 2*sqrt(7)))**2.\nAnswer: 13 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*f**3 - 36*f + 10*f + 13*f + 12*f in the form b*f**3 + s + y*f**2 + v*f and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*o = -2556, -3*j + o = -4*o - 1931. Calculate the remainder when j is divided by 96.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l + 6*l + 45*l - 774 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4276480 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * 0.2.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (22 - 400\/15)\/((-2)\/257151) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 54149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7711234 is divided by 196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -289*u - 2023. Let b be z(-7). Let v = 0 + 0. Let d = v - 5. What is the nearest to b in d, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51\/85 + (-2)\/(-5). Let n(f) = 421*f - 2. Is n(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4393605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-819)\/(-28))\/3*((-168)\/(-18))\/7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5000816 divided by 2500408?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 17\/3*a**3 + 33*a + 23\/2*a**2 + 0. Differentiate x(p) wrt p.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2*h**3*r**2 + 2*d**2*h**2 - 33*d**2*h*r**2 - 2*d**2*r**2 + 67*d*h**3*r**2 - r wrt h.\nAnswer: 12*d**2*r**2 + 402*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 16 = p. Suppose 0 = 5*l + 2*g - 10, -25 = l + p*l - 5*g. Suppose 6*i - 1 - 11 = l. Calculate the remainder when 6 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140244 and 238641?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6 - (-3)\/3) + -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in 0.7, -175, -15, -8?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 + -68. Suppose 5*n - 39 = -i. Let k(c) be the first derivative of -2*c**3\/3 + c**2\/2 + c - 1. Determine k(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117325 and 12025?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**4\/4 + d**3\/3 + d**2\/2 + 5*d. Let f be w(-1). Let i be (-5 + -1)*f\/(-4). Solve 0 = i*r + 4 + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2694, 2747, 2842, 2985, 3182, 3439, 3762?\n\"Answer: k**3 + 15*k**2 + k + 2677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(125) + 1)**2 - (3*sqrt(500) - sqrt(125)*5).\nAnswer: -25*sqrt(5) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/((-24)\/(-4))*(-112)\/(-3). Let n(f) = -3*f**3 - f**2 + 2*f**2 - 4 + f + 18 + 2*f**3. Let z be n(0). What is the highest common divisor of z and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310334 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*s + 140*s - 204 = 500 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -25*t + 19. Let z(i) = -19*i + 18. Let q(c) = 3*b(c) - 4*z(c). Let w(n) = -4*n + 13*n - 7*n. Give q(w(k)).\nAnswer: 2*k - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117.5383mg to nanograms.\nAnswer: 117538300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 9*b - 33. Let w be 1 - (136\/(-3) + 2). Let v = 44 - w. Sort v, b, 0.\nAnswer: v, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7407 (base 15) to base 2.\nAnswer: -101111111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1237)\/((-1)\/(2 + -1)). Let v = 1820 - u. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -173.\nAnswer: -173.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179 - 61. Find the common denominator of 1 - i*2\/24 and 57\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*f + 814 = -1972 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 divided by 677?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/j)**(2\/3)\/(j**(-2\/5)\/j)**(2\/53))**47 assuming j is positive.\nAnswer: j**(658\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17*u**2 + 9*u - 57. Does 29 divide c(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*v + 74921 = 74892, 0 = -2*u + v - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1338, -5624, -13256, -24624, -40118?\nAnswer: -60128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -3 (c) -3\/91 (d) -10 (e) -2\/11 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2. Let p(a) = 301395*a. What is p(b(o))?\nAnswer: 904185*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2900013*x - 78. Let y be n(6). Round y to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-7) + (-90)\/(-70). Calculate the remainder when b\/((14\/2)\/343) is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87543?\nAnswer: 3, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {k: 1, j: 2, c: 4}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 29181.5 - -8\nAnswer: 29189.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5 + 5344*y**4 - 3575128*y**3 + 7123556*y**2 + 3575130*y - 7128900 = 0 for y.\nAnswer: -1, 1, 2, 1335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.91 - 4.31. Let b = -0.2 - 0.1. Let l = b + 0.8. Put q, l, 4 in descending order.\nAnswer: 4, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -428, 0.2, 61\/2, 112 in decreasing order.\nAnswer: 112, 61\/2, 0.2, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5512, -5466, -5500, -5704, -6168, -6982?\n\"Answer: -15*r**3 + 50*r**2 + r - 5548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803584358?\nAnswer: 2, 113, 229, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11558407\/430 + 26880. Find the common denominator of y and -137\/258.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 0*z = 28266. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2761 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -107 + 105 + 52\/25.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3998*f**2 - 372193191 + 372193191.\nAnswer: -3998*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x**4 - 3*x**3 - 2*x - 3. Let v(m) = -1 - 11*m**4 - 5*m**3 - 2 - 2 - 5*m. Let k(z) = 5*u(z) - 3*v(z). Find the second derivative of k(o) wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -8\/3*m - 8\/3*m**2 + 0 + 2\/3*m**3 + 2\/3*m**4 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -149 + 165 + 4 + 0. What is the highest common divisor of 36 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 4:29 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13200 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 17*h + 31 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/154777652?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1389.453 rounded to zero dps?\nAnswer: -1389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 + 0.6. Let v = 66224.99944 + -66228. Let f = v - d. Round f to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - c - 1. Let k be q(-1). What is the second biggest value in 1, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2419 - 2987*h + 2419 in the form k + c*h and give c.\nAnswer: -2987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - l = -1, 5*l - 4 = -3*v - 5. Solve 6 - 20 = t + 3*w, -t + v*w = -10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 5*i - 2. Let t be z(3). Let m = t - -5. Solve -3*w + 5*d + 2 + 4 = 0, -3*d = m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.301049 weeks to hours.\nAnswer: 1562.576232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992144 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77017*h**2 - 1143 - 77006*h**2 + 1149.\nAnswer: 11*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-45 - (32 + -11)) + 65\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 4\/((-187080)\/1036741). Let d = r + -1\/7795. Calculate the common denominator of 42\/(-16) + 1\/1 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 9*n - 7. Let y be d(8). Which is greater: -2\/15 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*m**4 - h*m**2*p**2 + h*m**2*p - 2*h*m*p + 18*m**4*p**2 - 9*m*p wrt m?\nAnswer: -24*h*m + 432*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3a640 (base 12) to base 2.\nAnswer: 1001110011001000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**2 + 1\/5*w**5 - 1\/2*w**4 + 4 - w + 0*w**3. Solve s(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:57 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 177197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 578 = -5*g + 5*q, 3*q = g - 126. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5089.19904 rounded to the nearest integer?\nAnswer: -5089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 5*g + 7*g + 21, -2*j + 4*g = 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20983 divided by 440.\nAnswer: -20983\/440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-9) - 1065\/(-540))*(-36)\/(-1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 46 + 6. What is the lowest common multiple of 22 and j?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-2)\/70)\/((-966)\/(-2254))\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 + 3 - ((-10)\/5 - -24)\/(-1). Solve 3*g = -y + 7, 5*y + 2*g + 0*g = -f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 9*i - 15. Let d be b(5). Which is smaller: -21 or d?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304356509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143147 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: Which is the third smallest value? (a) -1 (b) 0.2 (c) 17\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*d + 12538 = -7830 + 3412. Suppose -p - 4*y + 54 = -39, 3*p + 5*y - 258 = 0. Calculate the greatest common divisor of p and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23330, -69845, -116360?\nAnswer: -162875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22, 35, 60, 103, 170, 267, 400, 575?\n\"Answer: b**3 + 6*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**4\/4 + 5*b**3\/6 - 3*b**2\/2 - 17*b. Let i(u) = -u**2 - u + 1. Calculate -h(w) - 4*i(w).\nAnswer: w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -27.284053849.\nAnswer: 27.584053849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 330?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 13*m - 4. Let l(x) = 13*x - 4. Suppose 1 = -3*n + 7. Let u(f) = n*l(f) - 3*w(f). Is u(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-9)*6*(17 + 1). Is 4*3*(-412)\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2. Let x(p) be the third derivative of p**7\/420 - p**4\/24 - 2*p**2. Let t(j) be the second derivative of x(j). Determine t(v(a)).\nAnswer: 24*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 0*o**6 + 0*o**3 + 1\/21*o**7 + o + 0 + 0*o**5 - 1\/6*o**4 + 0*o**2. Find the third derivative of j(p) wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10622204 (base 7) to base 4\nAnswer: -3203002313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 299 - 573. Suppose 0*s + m = 2*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + z)*(-9*z + 9*z + 11*z) + (0*z + 2*z - 3*z)*(2 - 2 + 2)*(65*z - 27*z + 18*z) in the form i*z + l + r*z**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2733.\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2716 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q - 43. Let z be s(-9). Suppose n + 5 = 0, 0 = 3*h - 0*n + z*n - 2. Solve -h*o - 29 = -3*w, -4*o + 9*o + 31 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1367 by -2.\nAnswer: 1367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/64 - (3\/(-2))\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (15 - -21) - 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000411190431 rounded to six dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 41) + 88 + 61 + -97?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -17)\/(-4 + 1246\/(-7)). Let m = 25303\/2002 + x. Does 12 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 41 - 11. Let z(v) = v**2 + 11*v + 11. Let t be z(q). Let f = -1\/20 - 1\/5. Which is the biggest value? (a) t (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202759600?\nAnswer: 2, 5, 7, 41, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6255\/13 + -481. Let k = -656 - -8530\/13. Factor -4\/13*t**2 + k + q*t.\nAnswer: -2*(t - 1)*(2*t + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 9 = -3*i. Factor -16 + 4 - 15*o + o**2 - o**2 - i*o**2.\nAnswer: -3*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, u: 1, p: 4, k: 6}. What is prob of picking 2 j and 2 p?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*h = -92*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3236 = -3*m - 3200, 0 = 25*z - 6*m + 97 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1710808 + -1c?\nAnswer: 17107b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87692 and 1188.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 390439 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + -37. Let z = w + 46.0000074. Round z to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11\/3, -5, -3, 0.3, -0.11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-50)\/75*(-6933)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1726 = -5224*n + 5135*n - 2448 - 4440 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -112, -113, -112, -109?\n\"Answer: x**2 - 4*x - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 545 and 4033?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -63, -62, -61, -60, -59?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Suppose 81 = t*d - 65. Calculate the remainder when d is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 = 59*p + 287. Sort -1, 2, p, 51, 4.\nAnswer: -1, 2, p, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28 + -25 - 3\/(-2 + 3). Suppose v*y = -3*y + 3, -607 = -5*l + 3*y. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**3\/3 - 3*p**2\/2 - 2*p. Let z(x) = 45 - 84 + 38. What is g(k) - 2*z(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - b0173?\nAnswer: -b0170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - u + 31*u**2 + 12*u**3 - 6*u**2 - 16*u**2 - 11*u**2 + 14 in the form s*u + o + m*u**2 + t*u**3 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/10 - 3329*q**2\/10 - 553779*q\/2 + 554445\/2 = 0. What is q?\nAnswer: -1665, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixzxziibsxi. Give prob of sequence si.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 1 + 1)*(0 + 0 + 13).\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 12*h**2 + 118*h**3 - 6*h**2 - 6*h**2.\nAnswer: 118*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1834946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4157574 minus 946?\nAnswer: -4158520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110306451?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 1, -193\/30 in increasing order.\nAnswer: -81, -193\/30, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 583*g**8\/84 + g**4\/12 - 887*g**3\/6 - 6*g**2 + 114. What is the second derivative of z(t) wrt t?\nAnswer: 46640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 5*y**2 + 4*y. Let c be t(-3). Suppose 268*z = -273*z + 551*z - 60. Solve 0 = -c*m + z + 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1907*j - 76 = 1904*j + 4*a, -39*j + 2*a = -188 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h + 5*l = -5, 5*l = 5*h - 45. Suppose -1 = -6*x + h. Put 5, -8, x in ascending order.\nAnswer: -8, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 4020*h - 808020.\nAnswer: -5*(h + 402)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 51?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (2 - (-14 + -1 - (-66 - -106)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 = 2*p + 2*o + 346, 0 = 3*o + 3 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 16 = -d, -4*n + 4*d + 31 - 63 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(2\/11)*d)\/(d*((d\/(d**(-1\/5)*d))\/d*d)\/d))**(-46) assuming d is positive.\nAnswer: d**(-7544\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621166958?\nAnswer: 2, 199, 821, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*-1 - ((-27)\/(-12))\/(1266930\/(-11520) - -110)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w. Let p be (4\/(-8))\/((-2)\/472). Suppose 7*l - p = 2*l + z, -2*l + 4*z + 58 = 0. Let u(a) = -32*a**2 - l*a**2 + 37*a**2. Calculate u(c(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11508 - 8*t**2 - 3418 - 8090.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*o = -84, -324*p + 322*p - o = -39. What is the least common multiple of 2536 and p?\nAnswer: 12680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 j when four letters picked without replacement from {h: 3, j: 17}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2172, 5299, 8428, 11559, 14692, 17827, 20964?\nAnswer: 24103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 34. Suppose -3*z = t - 23, -2*t + x = -3*z + 5*z. Suppose -4*m = z - 23. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608 = 4*o + 5*y + 620, -10*o = 3*y - 46 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2576.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*a - 19 = 0, -36 = -3*s - 2*a + 7. Solve 7*m = -s - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b**3 - 2*b**2 - 2*b - 1. Suppose -3*s = 3*c, 4*c + 5*s - 3 = -1. Calculate f(c).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:13 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55173 and 110693.\nAnswer: 17600187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0*h**2 - 3*h**2)*(3 + 2 - 6) + 2 - 2 - 7*h**2 + (3*h**2 + 2*h**2 - 3*h**2)*(-2 - 2 + 2).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/(-6) + 2\/(-6). Let h(g) = -g**3 + 8*g**2 + 11*g - 15. Let s be h(b). Suppose s*q = 5*q - 254. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from gexgllilgkle?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 720273 and 33?\nAnswer: 7923003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 243 - 368. Let u be (-25)\/m + (-38)\/(-10). Suppose -4*s - 26 = -l - 4, -4*l - u*s = -88. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4439035009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**5\/2 - 726*f**4 - 84549*f**3\/2 + 9323131*f**2 = 0.\nAnswer: -1381, -157, 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480519 is divided by 160168?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*-1*sqrt(539) + (sqrt(132) + (2*sqrt(132)*2 - sqrt(132)))\/(sqrt(12) + (-3*sqrt(48) - sqrt(12))))**2.\nAnswer: -38*sqrt(11)\/3 + 3980\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -254617 + 1010264. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc5 - c?\nAnswer: -bd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/7 - (-2)\/(-7). Let t(r) = -9*r + 4. Let x(l) = 18*l - 9. Let j(y) = d*x(y) - 9*t(y). Let u(c) = -4*c**2. Calculate u(j(z)).\nAnswer: -324*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 13684871?\nAnswer: -5473948.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6268, -40825, -3 in descending order.\nAnswer: -3, -6268, -40825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0375815 times 0.17?\nAnswer: -0.006388855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 1358.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -71044 less than or equal to -71042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7703*n**2 - 16739*n**2 + 86*n**3 + 9037*n**2.\nAnswer: 86*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.7 - 27.1. What is the nearest to 30 in i, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265063150 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1203575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101 - -111?\nAnswer: 1011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, o: 4, f: 1}. What is prob of picking 3 o and 1 q?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c + 15*c - 6*c.\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 5*d + 4*d + (5*d - 4*d + 0*d)*(-1 - 1 + 0) - 2*d + 3*d + 0*d)*(1 + 5 - 4) + 3*d + 0*d - 2*d.\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**6\/3 + 156*z**5\/5 + 2027*z**4\/2 + 34996*z**3\/3 - 2028*z**2 - 35152*z - 268. Solve a(y) = 0.\nAnswer: -26, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8758 divided by 37960.\nAnswer: 4379\/18980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2158781 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q - 2. Let v be x(-2). Let o be (9\/(-6))\/(6\/v). Solve -16 = u + 5*j, -o*u - 4*j - 2 = 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcrqpok. Give prob of picking 1 q and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*o**2 - 4710\/11*o + 428.\nAnswer: 2*(o - 2354)*(o - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 404 and 4749828.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36183, 36197, 36227, 36279, 36359?\n\"Answer: x**3 + 2*x**2 + x + 36179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.9 - 62.9. Let k = o - -60.9. Let m = k - 0.9. Which is the closest to -1\/5? (a) -5 (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 10:22 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8105 (base 12) in base 5?\nAnswer: -30221234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/10)\/1*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - w - 12. Let j(u) = -3. Let z(c) = 4*j(c) - y(c). What is z(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - (sqrt(120) - 2*sqrt(120)*-5 - sqrt(120)))\/((sqrt(2) - sqrt(32))*2))\/((5*sqrt(192)*5 - sqrt(192))*-6))**2.\nAnswer: 5\/147456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 380589071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*0.09\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-322)\/276*6\/(-14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -96. Let b = y - 18. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 24*r - 3. What is the tens digit of i(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/20008 and -47\/2673036?\nAnswer: 326110392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1044*a**3 - 2085*a**3 + 1042*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 202 - 86. Suppose 3*u + 50 = v - u, -4*v + b = 5*u. Suppose -3*d + 36 = d. Calculate the remainder when v is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -158*v**2. Let r(l) = -48*l. Calculate r(k(c)).\nAnswer: 7584*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/6)\/(k**(4\/3)\/k)*k**(-7)*k*k\/(k**(6\/11)*k)*k assuming k is positive.\nAnswer: k**(-443\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-156)\/24)*(-350)\/(-125)?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*19\/(855\/18)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -2)*(-1)\/(-2). Let h = -12610 - -12614. Solve 15 = -y + 4*d, m = y + h*d - 5 - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/130)\/((5\/(-91))\/(((-625)\/(-25))\/(-175))).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -237 smaller than -239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -1 + -1)*5 - (1*sqrt(567)*1 + 5)**2.\nAnswer: -602 - 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*j - 41. Suppose 190 = -9*y + 1270. What is the greatest common divisor of y and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 8 = y. Suppose -21*c + 25 = -26*c. Put c, y, 4 in increasing order.\nAnswer: c, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6)*3 - 3) + 2. Suppose -43*a + 47*a - 20 = r. Solve 0 = a*g + 1 + 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 283*k - 146*k + 987*k in the form z*k + a and give z.\nAnswer: 1124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2010100122 - 2?\nAnswer: -2010100130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z + 43*z = -60440. Round z to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 631599 and 30?\nAnswer: 6315990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - 45. Let w(m) = -8*m + 19. Let u be w(2). Suppose -3*s = 3*z - 24, 2*s + 26 = z - u*s. What is the remainder when z is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 300 + -298. Suppose 5*r - 10 = -4*m + 1, 0 = -4*m - d*r + 26. Solve m*v - 4*v - 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + -2. Let m = -432 + 438. Calculate the lowest common multiple of r\/(-6) + (-9)\/(-27) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0*n**4 - 1\/60*n**5 + 0*n - 2*n**2 + 0 + 0*n**3. Let l(f) = 2*f**2. Give g(l(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 3*t + 1. Let b be l(2). Does 16 divide (-32)\/b*(-3)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031043 is divided by 38184.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 19*h + 10134. Calculate the smallest common multiple of 144 and x(-105).\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 26 + 6 = 0. Let n be h\/14 - 36\/(-273). What is the second smallest value in 4, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 103846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1736866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(192) + (2*sqrt(192) - sqrt(192)))\/sqrt(8) + sqrt(24) + sqrt(72)\/sqrt(3)*-1)\/(-3*-4*sqrt(768))*-5.\nAnswer: 25*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99628 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2. Let f(n) = 64*n**2 + 4 - 37*n**2 - 32*n**2. Give j(f(a)).\nAnswer: 50*a**4 - 80*a**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 18, z: 1}. Give prob of sequence vz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -178, -179?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 24. Calculate h(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41635*i**3 + 70172*i**2.\nAnswer: -249810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**4 - 9670*f**3 - 6230700*f**2 - 1335440250*f + 1341680625 = 0.\nAnswer: -645, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.1, 8, 0, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98063780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i - 13. Let s(d) = -5*d + 14. Let g(m) = 5*s(m) + 6*v(m). Let z(x) = -3*x + 5. Give -5*g(k) - 7*z(k).\nAnswer: -4*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-30)\/(-4)*(-128)\/800.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1736 - -944. Let c = -792.0003356 - x. What is c rounded to five decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -165\/7 (b) 78 (c) 205 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2437.306 centuries in decades?\nAnswer: 24373.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*v - 41 = 0, -5*o + 12*v + 159 = -6*v + 5*v - 0*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1004, 2012, 3040, 4094, 5180?\nAnswer: 6304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 6, -12, -1.\nAnswer: -12, -5, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - sqrt(120)*-2)*-2)\/(((sqrt(18) - (sqrt(72) + sqrt(18)) - sqrt(18))\/sqrt(3) - sqrt(6)) + sqrt(6) + sqrt(6)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -440*f**2*j*q**3 - 468*f**2*j*q - f*j*q**2 + f*j + 2*j*q**2 + 499*j*q - j + q**3 wrt f.\nAnswer: -880*j*q**3 - 936*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 14 + (-6 + 0 + 5)*(1 + 1 - 4))*(0 + 3*z + 0).\nAnswer: 42*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3045*p*w**3 + 8595*p*w**2 + 2*p*w - 5*p - 194*w**3 - 2 wrt w?\nAnswer: 18270*p - 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i = -12*i + 2100. Calculate the least common multiple of 24 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000050874 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 2. Let b be 6\/(2\/(-4) + 0 - -2). Let f be o(b). Let t be 12\/f - (2 + -210000). Round t to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -n + 8, n + 20 = m + 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xygxbyybyyxxxxyxbgxy. What is prob of sequence gbgy?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 - (-12)\/(-9). Let h(q) = q**3 + 2*q**2 - 3*q - 2. Suppose 2*t - 33 = 13*t. Let i be h(t). Which is the smallest value? (a) 1\/3 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5047853*j**2*x**2 - 9165687*j**2 - j*x**4 wrt x?\nAnswer: -10095706*j**2*x - 4*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1251 and 48\/3197.\nAnswer: 28773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.08 + 18.08. What is the second biggest value in -2, -3\/110, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2281*c - 2285*c - 2283*c - 2289*c + 11437*c - 2292*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1117 or 1115?\nAnswer: 1115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10452 divided by 3.\nAnswer: 3484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3657*k**5 + 3*k**4 + 3*k**2 + 9*k + 200. Let w(y) = y**4 + y**2 + 2*y - 1. Let h(c) = -2*a(c) + 6*w(c). What is the second derivative of h(r) wrt r?\nAnswer: 146280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-34)*(-8)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/10)\/(3\/10). Let n(b) = -b**3 + 6*b**2 + 3*b - 8. Let s be n(r). Let i = -3 + s. Solve -g + i = 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -12300\nAnswer: -1\/3075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.416762512 - -3.\nAnswer: 2.583237488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 275.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 52 - 37*v.\nAnswer: -37*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -492\nAnswer: 31\/492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-7)*(-365)\/4*(4\/(-5))\/2.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4464 + 5929*x + 13390 - 4464 - 4462 in the form z*x + j and give z.\nAnswer: 5929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -2\/31, 3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484737 = -58*v + 67*v - 1457850. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2223 divide 1688152869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 33*q. Let k(r) = r. What is h(t) - 12*k(t)?\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 3*l + 9. Suppose -31 = -l*a + 5. Suppose -2*d + 26 = 4*y + 8, 5*y - d = a. Solve 0 = -4*x - y - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 24233142?\nAnswer: 24233212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -17.7. Let t = 0.3 + v. Let i = -66066 + 66063. Which is the nearest to i? (a) t (b) -5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 544, 952, 1322, 1654?\nAnswer: 1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251384 is divided by 4650.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/168*12*11300\/150.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -78. What is the units digit of 7\/14 - (-486)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - 2*t**2 - 2*t**3 + (-2 + 5 - 5)*(2*t**3 + 0 + 0) - 3*t**3 - 13 + 13.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 96*f**2 - 10*f - 287*f**2 - f**3 + 102*f**2 + 99*f**2 + 12*f - 9. Give h(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.17 - -83.83. Let z = u - 88.22. What is z rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -531203\nAnswer: -3\/531203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 10*o + 408 = 0, 68221*s = 68224*s - 3*o - 108 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 4 = -11*z. Suppose 0*i - i = -4*a - 94, 3*a = -z*i + 300. What is the remainder when i is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 16*y + 5. Suppose 0 = 2*h, 8*h - 3*h + 64 = 4*l. Let r be s(l). Solve u + r*q = 11 - 31, -22 = 2*u + 4*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*f - 6. Let c be (-14)\/(-42)*1*f. Suppose -d - c*d = -25200. Round d to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-108*t**2 + 42*t**2 - 57*t**2)*(3*t - 2*t - 2*t) as v*t + i + x*t**3 + c*t**2 and give x.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 442903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 2)*(3*l**2 - 3*l**2 + 2*l**2) + (l - 3*l + 0*l)*(-4*l - 3*l + 4*l))*(-362 + 73 - l - 561).\nAnswer: -10*l**3 - 8500*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11222 - 0?\nAnswer: -11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1069\/10 + -107. Let s be 2\/(-8) - (-82)\/616 - (-47988)\/(-111972). Which is the biggest value? (a) l (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 21 = 3*c. Let v(r) = r**2 + 5*r - 2. Let d be v(c). What is the third derivative of 0*s**4 + 2*s**2 + 3*s**d + 2*s**2 + 0*s**2 wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*4\/(-6)*(-350)\/(59500\/255).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2 - 24*y + 36 = 0. Calculate y.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -72858.6492 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 26 - 146. List the prime factors of (3 - 9)\/2 - r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115695 divided by -8.\nAnswer: -115695\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1189*53195.\nAnswer: -63248855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**3\/18 - a**2 + 16*a\/3 + 42. Factor t(w).\nAnswer: (w - 8)*(w - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2747110 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 16510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 181 + 14*o - 177 - 3*o in the form z*o + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 6*q - 3. Let g be p(-6). Let s be 1 + 0 + (-2 - g). Solve s*f - 17 = -f + 4*c, -4*f + c = -14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*2*-1*-30*(-17)\/1020.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 81*j**2 + 14*j + 31. Is a(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5215940 to the nearest 10000.\nAnswer: 5220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 209639 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 19 = 3*m, -2*m = 47868*s - 47874*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 208, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 4:58 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -43, -44, -41, -40, -47, -68, -109?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479 - 65 = -136*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -15 - 3. Suppose 3*y + p = 5*x, -x - 2*y - 4 = -2. Solve x = 2*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 + (-46632)\/1160 + (-9)\/5?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 4, 0, 34, 709 in increasing order.\nAnswer: -57, 0, 4, 34, 709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 443454534 to the nearest integer?\nAnswer: 21058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3439 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: Calculate 14 + (-4 - (-15 + 16)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s. Let k(m) = 391*m. Determine k(n(o)).\nAnswer: -1564*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15765001, 63060039, 141885113, 252240223, 394125369, 567540551?\nAnswer: 772485769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2782, 2779, 2774, 2767?\n\"Answer: -w**2 + 2783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-9)*a\/a**(-1\/23) assuming a is positive.\nAnswer: a**(254\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + -1 - (-703 + 626)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*z**3 - 229*z**2 + 2527*z**2 + 1408*z**2 + 10*z**3 + 283*z**3 wrt z?\nAnswer: 2526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 334 + -337.21. Let v = n - -0.21. Let r be 6 + (2 - (2 - -1)). Which is the second smallest value? (a) r (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-535)\/10)*(-1 - 1). Let l be (-2 - 86\/(-40)) + (-42)\/w. Let m = 7 + -11. What is the fourth biggest value in l, 3\/7, m, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3032.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-585)\/(-24)*248784\/67379.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 18*j - 109. Determine q(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1473, 2936, 4399, 5862?\nAnswer: 7325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3, -14 in increasing order.\nAnswer: -14, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 111, -4 in descending order.\nAnswer: 111, 11, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 99.98003 hours?\nAnswer: 359928.108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + z**2 + 1. Let y(m) = 2 + 477*m**2 - 950*m**2 + 477*m**2 + 3*m**3 + 2. Determine -4*g(v) + y(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3735309 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135*u - 89*u - 110*u - 244*u**2 + 1 + 1 wrt u.\nAnswer: -488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2787 - 2789. What is the nearest to i in 4, 1\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/(-42)*(12\/5)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 18, 444, 10, 1, 3 in decreasing order.\nAnswer: 444, 18, 10, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.981 - -0.019. Let i = o - 24.8. Sort -0.5, 5, 1, i in descending order.\nAnswer: 5, 1, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 168212.\nAnswer: 1513908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 + 2*s + 4. Let q(b) = -6*b**2 + 3*b + 6. Calculate -7*h(a) + 5*q(a).\nAnswer: -2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -36*i**3 - 21*i**2 + 21*i. Let b = -11 - -6. Let a(o) = 3371*o**2 + 9*o**3 - 3366*o**2 - 37*o + 32*o. Give b*u(r) - 21*a(r).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4193?\nAnswer: 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 5*p**2 + 1 + 3*p**2 + p**2)*(-5*p + 0*p + 3*p).\nAnswer: 2*p**3 - 6*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/78536 and -77\/142.\nAnswer: 5576056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 1564*v - 84 = 1562*v, -14*a = -v - 648 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211011212001 - 121?\nAnswer: 2211011211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834546 is divided by 834545.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 34?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/(90\/(-5)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 15 = 3*h + h, 6 = 3*h + 2*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 261414.5 years in months?\nAnswer: 3136974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 379536 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) 0 (c) 215 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2306*q + 2287*q = -114 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -909 - j + 1362 + 12*j**3 - 450 to the form q + i*j + y*j**2 + s*j**3 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -60, -4 in decreasing order.\nAnswer: 3, -2, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtoooyoyooooyootooo. Give prob of sequence oyog.\nAnswer: 13\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 + 107. Let w(y) = -y**2 + 8. Determine w(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 10. Suppose -s + 3 = g, -4*j - 2 = 5*s. Let q(i) = 4*i - 2 + 2*i + 3*i - 6*i. Give q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*z - 18 = 0, 2*x + 45 = 4*z + 59. Sort -4, -2, -191, x.\nAnswer: -191, -4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, s: 1, n: 1, f: 1, i: 1}. What is prob of sequence nfii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 u, and 1 z when three letters picked without replacement from vuuxxxvzzvzzxzvxv.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3653, -3654, -3655, -3656?\nAnswer: -3657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/31, 9, -0.1, 0.04?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102 in -2\/7, 0.4, 1\/4, 0.3, -13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131083 and 3179460?\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 16 = 0, q - 28 = -5*i - 27 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 200.9?\nAnswer: 40.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*i**3 - 198*i**3 - 5 - 14 + 877*i**3 - 338*i**3.\nAnswer: 2*i**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2776*n**3 - 94*n**2 - 2563746 with respect to n.\nAnswer: -8328*n**2 - 188*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 2*f + 2*f)*(2 - 6 - 4 + (0 - 3 + 1)*(2 + 4 - 14)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 7553000 to the nearest 100000.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 281, -154, -1.\nAnswer: -154, -1, 1, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 13*v**2 + 19*v + 1. List the prime factors of i(14).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnnnnnnrnnnnnnnrn?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 92, 195, 338, 521, 744, 1007?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 - 197. Let t = q - -107. Which is the second smallest value? (a) t (b) -4 (c) 2\/23 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, i: 9, o: 5}. What is prob of sequence oiuo?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 9*o**2 - 8*o + 4. Let j = -6 - 2. Let p be t(j). Solve -q = -4*n + 3, 3*q - q = 3*n + p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -32*x**4 - 117362800*x**3 - 107609555220546*x**2 + 53804799615800*x - 6725600868872 = 0.\nAnswer: -1833794, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -848\/311 + 701891\/255020. What is the common denominator of 103\/656 and x?\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*j + 115*j = 8. Sort j, 0.4, 1, 3\/8.\nAnswer: 3\/8, 0.4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 561 = 129. Let k be 188*4\/i + 2\/(-9). Suppose 0 = -k*m + 18 + 267. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(2 + sqrt(153)*2 + 5 + sqrt(153)*2*6))**2.\nAnswer: 2016*sqrt(17) + 120096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 7, 95, 2144, -3\/8, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36657586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 2\/3, 10\/37, -24\/49, -3, -0.05, -3\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8795*b - 342. Is p(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:37 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -205 - -349. Suppose -35*f - 4 = -s. Solve p + 10 = -4*x - p, -f*x + 8 = -4*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40024001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127279020 - -221627847. Let u = -94348696.0000272 + r. Let n = 131 - u. What is n rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**4\/2 + 4. Let d be o(-1). What is the tens digit of (-28)\/(-2 + 1) + d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*u - 19, 0 = 848*u - 844*u - 5*p + 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2980389657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5478492 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -2.2. Let k(q) = q**3 - 8*q**2 - 5*q + 9. Let t be k(10). Let c = -1429\/9 + t. Put -3, v, c in decreasing order.\nAnswer: v, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -20*n - 3. What is h(4)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150388 and 372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 7:30 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -204 and 317.371061062.\nAnswer: 113.371061062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -374, 3, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3293, -5421, -7549, -9677, -11805?\nAnswer: -13933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76.9896 - 77. Round s to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1709)\/(-29) - ((-1018290)\/(-5278) - 193)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 224489076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-4\/7))*k*(k\/(k\/((k\/(k*k**(-9)))\/k)))\/k*(k*k\/(k\/((((k\/k**(3\/5))\/k)\/k)\/k)))**4)**(-4\/11) assuming k is positive.\nAnswer: k**(-144\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 559*g + 4 - 49 + 302*g. Let s be b(10). Suppose h + 14*h - s = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.2. Let g be (-14 - 570\/(-45))*630\/(-168). Sort -1, n, 3, g in decreasing order.\nAnswer: g, 3, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3555*k + 57 + 43 = 3505*k. What is the second smallest value in -5\/4, 2, -0.04, 2\/9, k?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + -1 + 25 + 4. Let g = 0 + 7. What is the highest common divisor of r and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-20)*(-1)\/30*-4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-24)*880\/(-550). Which is the closest to u? (a) 4 (b) -0.02 (c) -3\/5 (d) 171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -9*j**5\/5 - 11*j**3\/3 - 2*j**2 + 49. Find the third derivative of u(b) wrt b.\nAnswer: -216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/106 and 10\/17?\nAnswer: 1802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/5631264 and 25\/36.\nAnswer: 5631264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 33571, 11, -3, 14, 2 in ascending order.\nAnswer: -3, -1, 2, 11, 14, 33571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34970 - -34965. Which is the second smallest value? (a) q (b) -3\/5 (c) -1049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 9*l - 7. Let x be n(-8). Let i be ((-2)\/(4\/(-6)))\/x. Suppose b - 5 + i = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + 1*(1 + sqrt(567) + sqrt(567))*-3)**2.\nAnswer: -108*sqrt(7) + 20413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -134 (b) 4 (c) -1\/3 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 5:11 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -32053450 (base 6) in base 16?\nAnswer: -e5986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58025202 and 47082?\nAnswer: 6726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -280 (base 14) to base 6\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 11*s. Let v(i) = i**3 + 7*i**2 + i - 22. Let d be v(-6). Let f = 4 + d. Does 6 divide t(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2867 + -2863. What is the biggest value in 1\/2, 5\/18, n, -0.05?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h + 10. Suppose -h*q - 38 = 297. Let t = -27 - q. Calculate the highest common factor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801795 is divided by 162?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 times -1?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q + 1259 = -i, 0 = -3*q + 3*i - 963. Let z be q\/441 + 2\/(-9). Let a = z + 2157\/784. What is the common denominator of a and -55\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/15)*n)\/(((n\/n**(-10))\/n)\/n)*(n**(-5))**(4\/7) assuming n is positive.\nAnswer: n**(-1126\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000001100001101001111001 - 11?\nAnswer: -1111000001100001101001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f. Let m(g) = -4. Let l(s) = -5. Let p(a) = -3*l(a) + 4*m(a). Let b(i) = -i + 1. Let r(z) = -3*b(z) - 3*p(z). What is r(t(n))?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c - 4 + 4)*(79 - 79 - 27*c) + (4*c + 3*c - 5*c)*(-c + 1 - 1) to the form b*c + p*c**2 + a and give p.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1839 - -2320. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - -0.5. Let t = 0.26 - 0.66. Which is the nearest to r? (a) 0.5 (b) t (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24254 and 737.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.26, 5, 0.3, -7, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/27*18\/15.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 367*k**3*u**3 - 2*k**3*u + 2*k*u**3 - 12*k*u**2 + 9*k wrt u?\nAnswer: 2202*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-18)\/d*(d\/(d**(-23)\/d)*d)\/d*d)\/((d**(-9)*d)\/d)**(-50))**(4\/19) assuming d is positive.\nAnswer: d**(-1772\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 232 or 222?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 354886 divided by -96\nAnswer: -177443\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 280.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1347, -1361, -1375?\n\"Answer: -14*u - 1333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60 + 1031 - 425)*(3*j + 4*j + 0*j)*(-4 + 0 + 1) to x*j + q and give x.\nAnswer: -11466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 294\/(-36) + 1\/6. Sort 5, 8, v in descending order.\nAnswer: 8, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*v + 1208 = -719 + 679 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 e when three letters picked without replacement from {l: 2, e: 4, c: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2. Let z(p) = -13308296*p**2. Calculate z(v(q)).\nAnswer: -53233184*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1688*m**2 - 13410 + 13410 - 553*m**2.\nAnswer: -2241*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 173352 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1086072, -1\/15, 0.4, 4 in decreasing order.\nAnswer: 1086072, 4, 0.4, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 6*o + 5. Give r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/4 (b) -0.4 (c) -153 (d) 6\/955\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61868564 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11585 - 5162. Which is greater: v or 6421?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.313 (c) 23972\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 15 = 85*y - 86*y, 31*y - 34*y = -4*t - 46 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -12) + 68 + -78?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*sqrt(605))**2.\nAnswer: 66*sqrt(5) + 5446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 241137713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 268.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**4\/4 + 17*u**3\/3 - 7*u**2 - 12*u + 2. Suppose y - 4 = 12. Is 20 a factor of b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1769 + 1?\nAnswer: -1768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1342 (base 5) to base 2\nAnswer: 11011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -123*y - 10197. What is c(-83)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 406460 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 times 14?\nAnswer: -2114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -90*t - 4620. Let n(y) = -35*y. Give g(n(f)).\nAnswer: 3150*f - 4620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2140, -2089, -1972, -1759, -1420, -925?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -39, -66, -93?\n\"Answer: -27*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000529541 to 6 decimal places.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**2 - 7*a + 5. Let l(w) = -w**2 - w. Let i(p) = -4*l(p) - r(p). Is i(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5 - (305\/(-105))\/(-1) and (-265)\/15 - (-6)\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 774506828 and 18608?\nAnswer: 4652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 76727630 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 618978 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 8 + -2 - -23. Suppose -5*a + 44 + g = l, 0 = -l + a + 62. Suppose 0 = 18*k - 15*k - l. What is the remainder when 41 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -61, -62, -63?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(99)*-3*2 + sqrt(44)\/(2*sqrt(20)\/sqrt(5))*4)**2*-6.\nAnswer: -16902 + 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 1. Let m(f) = f + 13. Let y be m(-14). Let k(x) = 3*x**3 + 2*x**2 + x + 2. Let w(i) = y*k(i) - 3*z(i). Suppose w(u) = 0. What is u?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1672*j**3 + 8*j**2 + 16*j + 32. Let p(g) = 557*g**3 + 3*g**2 + 5*g + 10. Give -5*d(w) + 16*p(w).\nAnswer: 552*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -372543*i - 258. Let o be j(-6). What is o rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-1*sqrt(65) + sqrt(65)) + sqrt(65) - -1*(sqrt(65) + 1*sqrt(65)))*2)\/(-5*sqrt(500)*-1 - sqrt(500) - 1*(sqrt(500) + sqrt(500)*1)).\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, -4739, 1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2\/3*h**4 + 22*h**2 + 0 - 34\/3*h - 10*h**3 = 0.\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 632812, 262, -4.\nAnswer: -4, 262, 632812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (4 + (8 - (-8 - -7)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 2*j**2 + 13*j + 16. Suppose 0*q - 16 = -4*q. Let y(a) = -a**3 - 3*a**2 - 12*a - 15. Let v(f) = q*t(f) + 5*y(f). Is v(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25056)\/2352)\/(-87)*(-7)\/(-2)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*u - 8 = 0, 42*n - 12 = 46*n + 4*u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (4\/30 + (-26)\/195). Solve -p*i + 3*i + 2*h - 1 = 0, 33 = 5*i - 4*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 * -54097\nAnswer: 6599834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/(i**(-7)*i))\/i)**(-3\/10))**(1\/69))**(-9\/2) assuming i is positive.\nAnswer: i**(63\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -8 + (6 - 1) + -11 + -25?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000000 (base 2) in base 11?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -126 + 125. Let v = -2.2 - -0.2. Let i = -10 + 14. What is the nearest to c in v, i, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 908191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7841582, -15683147, -23524712, -31366277, -39207842?\nAnswer: -47049407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.08, -10\/13, -3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -38, 39, 182, 409, 738, 1187?\n\"Answer: 3*a**3 + 15*a**2 + 11*a - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10363*d - 10339*d + 24 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**17*w**1*w**(-2\/7)*w**0\/w**(-5)*(w**(-1)\/w*w*w)**(-46) assuming w is positive.\nAnswer: w**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((1 + 8)\/(-3)). What is the nearest to v in 0.2, -1\/3, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158370 + -158360. Let z(s) = -s**3 + 11*s**2 + 5*s + 12. Let b be z(9). Let q = 419 - b. Calculate the greatest common factor of q and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14203 - 13525.9. What is c rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 2.6861879015561.\nAnswer: -2.8861879015561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4234621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*n + 14 = -4*k - 260*n, -k = 2*n - 10. Which is the second smallest value? (a) 3\/8 (b) k (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 600724.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/4)\/(k**6*k)*(k*(k\/(k**(-1\/2)*k))\/k*k)**(-32) assuming k is positive.\nAnswer: k**(-219\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-6)*3 + 4. Let c be 10\/(-14) - (-2)\/(-7). Does k = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-22))\/((-526)\/2893)*(-2)\/(-172)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 217056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 85\/69, -4, 0.12, -2\/13?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -241*g + 97. Let c be w(-6). Let v = c + -10828\/7. Let i = -3\/1466 - -38143\/13194. What is the common denominator of v and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**2 - 290660*x - 120796984 = 0.\nAnswer: -72247, -418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*n**5 + 42255*n**4 - 490437*n - 1 wrt n.\nAnswer: -620*n**3 + 507060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/(3 - -6) - 31)\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 3 + 0 - 7 + 1. Let p be a(-4). Let u be (50\/(-20))\/(-6 + p). Put -3, 2, u in decreasing order.\nAnswer: 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 16. Suppose 4*v = 12, 7 = -w - 0*v + 3*v. Calculate the greatest common factor of q and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371, 498, 625, 752, 879, 1006?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 1\/6, 5, 0.3 in decreasing order.\nAnswer: 5, 0.3, 1\/6, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -12*l**3 + 4*l**2 + 3*l - 4. Let a be 10*(2 - 69\/15 - -3). Let i be f(a). Is ((-17)\/4)\/(6\/i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 8. Let i be m(12). Suppose 0 = 2*f - 0*f - 6. Put -5, f, i in descending order.\nAnswer: i, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, m: 4, r: 3, l: 4, t: 1}. What is prob of sequence rr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -5) + 0 + 3 - 14 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1, -2\/11, 91?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21264018*n + 6684093?\nAnswer: 21264018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, f: 5, z: 1, t: 3, k: 2}. Give prob of picking 4 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19008*r - 20789 wrt r?\nAnswer: -19008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0740879ns in milliseconds?\nAnswer: 0.0000000740879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/17 - -26\/51. Let n = 0.8 - 1.1. Put -0.1, g, n in decreasing order.\nAnswer: g, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/37 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(9)\/sqrt(3))*-2*-5 - ((1*sqrt(24) - sqrt(24)) + sqrt(6))\/((sqrt(2) - ((sqrt(2) - (sqrt(2) + sqrt(2)*-3)) + sqrt(2) + sqrt(2)))*-1))**2.\nAnswer: 10050*sqrt(3) + 281203\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 11.209 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26020141 take away 0.14?\nAnswer: 0.12020141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 + 11*z**2 + 35*z + 13*z**2 - 59*z - 28*z**2.\nAnswer: 7*z**2 - 24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 8:34 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 + 2*p**2 - 2*p - 2. Does 28 divide h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 95, 205, 391, 671, 1063, 1585?\nAnswer: 2255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39560 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61500459.\nAnswer: 3, 23, 891311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299 + -299.23108. Let x = t + 0.281052. Let s = x + -0.05. Round s to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 23002878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7\/5 - 23\/20. Let y(s) be the first derivative of -1\/4*s**3 - 1\/16*s**4 - 1 - 3\/8*s**2 - c*s. Factor y(v).\nAnswer: -(v + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856964 is divided by 355.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -2*g. Let j be 1 + (2 - ((3 - 4) + g)). Suppose -a = -3*s + 1, 3*s + j = 2*a - 1. Solve -2*z + 16 = 5*c, -3*z - 2*c + 19 = s*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12495 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 5*z - 1116. Solve 59*f - z*f = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/489 and 31\/182419.\nAnswer: 89202891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -8056868500 to the nearest one million.\nAnswer: -8057000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -601 - -607. Let a be (-3)\/(-15) + 9\/5. Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -10) + -5 + 14 + -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 2*n + 1. What is q(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4028, 31.\nAnswer: -1, 31, 4028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 + 15*y + 48. Calculate v(-6).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 smaller than 323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)\/g**(-20))\/(g*g**(2\/9)*g)**48 assuming g is positive.\nAnswer: g**(-782\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/12 + 2\/3. Let j = -28 - -169\/6. Is t not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8497 divided by -1.\nAnswer: 8497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by 5?\nAnswer: 76\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*g = 264. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-1\/45)*c)\/c*c)\/c*c)**(-5\/12)\/((c*c**(-1\/26))\/c)**(-8\/7))**(-2\/3) assuming c is positive.\nAnswer: c**(2218\/7371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2272 and -334020313.\nAnswer: -334020312.7728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = -0*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-12) - (-15)\/(-12). Let h = -4 + 6. Let m = 40 - 38. Which is the closest to m? (a) h (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -6. Let k(t) = 5*t**3 - 8*t**2 + t - 3. Let m(y) = 14*y**3 - 23*y**2 + 3*y - 8. Let q(v) = -17*k(v) + 6*m(v). Give q(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unl when three letters picked without replacement from nlululiunnlln.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/21*9\/3*1. Let l(n) = n + 19. Let g be l(m). Let r be 11*(-1 - -2*12). Calculate the highest common divisor of g and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0)\/((-72)\/(-22 - -46))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*(sqrt(175) - (-1 + sqrt(175))) - sqrt(175))**2*-1*3.\nAnswer: -2292 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 553792850 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 27741*c - 2. Let h(p) = 6*p. Determine n(h(s)).\nAnswer: 166446*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 192502861, 192502862, 192502863, 192502864, 192502865, 192502866?\n\"Answer: d + 192502860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 42. Let y = -420 + 421. What is the biggest value in -5, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((45\/(-9))\/10*6\/3)\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 12327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -178*b**4 + 9163*b**2 - 27352478*b?\nAnswer: -2136*b**2 + 18326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/24817499 and 45\/217.\nAnswer: 769342469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**2 - 31*h + 24. Let m be q(7). Solve -4*r - 11 = -5*j, m*r - 4 + 1 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by 45.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467378 is divided by 1263.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.056 equal to 2191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-493*k - 266*k - 170*k - 40*k)*(-3 + 0 - 3) to i*k + b and give i.\nAnswer: 5814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 1. Let j be y(3). Suppose -j*a = 3*k - 23, -k + 0*k - 3*a = -17. Suppose -k*c + 419 = -4*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -22.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/10590360 and -119\/9531324.\nAnswer: 95313240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2409\/6 - 483\/138. Solve -387*u = -g*u + 88 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = -8. Factor 8*b - 2 - k + 6*b**2 - 8*b**2.\nAnswer: -2*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 270 + -260. Solve 2*u = -d + 2, 6*d - d - m = 2*u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37125*u + 37125*u - 249*u**2.\nAnswer: -249*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4865093 divided by 4?\nAnswer: 4865093\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-582768)\/1404 + (-1)\/(-13). Sort 1, d, -2 in descending order.\nAnswer: 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/21, -2\/11, 3, 0.17, 2\/3 in descending order.\nAnswer: 3, 2\/3, 0.17, -2\/11, -5\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13 - -10) + 17\/7. Which is the closest to 8? (a) v (b) -0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 41374*d**2 + 4 - 6969*d**2.\nAnswer: -48343*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22058242 and 52900?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**5\/5 - 9*i**4\/4 - 47*i**3\/3 - 63*i**2\/2 - 26*i - 277. Find w, given that y(w) = 0.\nAnswer: -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/12462180 and 81\/11450?\nAnswer: 62310900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12110 (base 4) to base 16.\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26812 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 12, 0.1, -0.05423, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -11*j + 165. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -122.\nAnswer: -48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (9 + -7 - 8) - -8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 1 - -9) + -2 - 36?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -364424116*a**3 - 6*a**2 - 6779354*a.\nAnswer: -2186544696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 17692\/9613?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 0 + -17 + -30 + 39 + 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107343943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*m + 50*m - 22*m**4 - 2 - 20*m**4 + 41*m**4 + 6*m**2 + m**3 to a*m**4 + t*m**2 + g + w*m + b*m**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 612443 - 4?\nAnswer: 612437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 219*m**3 + 1070*m**2*r + 320*m*r - 2*m - 12*r - 4 wrt m.\nAnswer: 1314*m + 2140*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74 and 64?\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 + 3075*k**4 - 24642*k**3 + 67802*k**2 - 73983*k + 27747 = 0. Calculate k.\nAnswer: -3083, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (57\/228)\/(((-15)\/(-61836))\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 1 - 5*q**2 + 8*q + 7015*q**3 - 7013*q**3 in the form k*q**2 + g*q + i*q**3 + w and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*v + 60, -5*u + 12 = -4*u + 5*v. Suppose u*j = -21*j + 4257. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7222 - 7220.2564. What is u rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -z + 2*x + 2, -2*z - 2*x + 66 = 0. Suppose 31 + z = 12*h. Suppose -2*f - h*i + 35 = f, 0 = 4*f - 3*i - 66. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-11)\/(d**(-7)\/((d*d**(-7))\/d)) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 19795231 divided by 1\nAnswer: 19795231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2 = 218. Let a be ((-3)\/6)\/(2\/12). Is (99\/s)\/(a\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1257 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17346 times 94\nAnswer: 1630524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 191\/5*s - 1\/5*s**2 + 156 = 0.\nAnswer: -4, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-35 - -84)*(1 - 2)\/(-6) and -47\/4585.\nAnswer: 27510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-14) - (-95)\/(-14). Let l = -1\/42 - s. Calculate the common denominator of l and 85\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1385332410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 12:11 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31ac3 (base 15) to base 12.\nAnswer: -77303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 94*k**2 - 7 - 6*k - 116*k**2.\nAnswer: -22*k**2 - 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3582*r**3 - 8*r**2 + 24. Let g(x) = 2388*x**3 + 5*x**2 - 15. What is 5*f(j) + 8*g(j)?\nAnswer: 1194*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 315.74 to 0 decimal places.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -19*q + 247. Let t be b(13). What is the nearest to 1 in -1, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 7*p - 5*a - 44 = 0, 2*p - a + 3453 - 3445 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-6 + -7 + 16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156 - 161. What is the closest to 0 in u, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -282 - -4232\/15. What is the nearest to -0.1 in 3\/8, c, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 257419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2395*k + 94258 = -1300*k - 123747 for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**3 + 765*s**2 - 1521*s + 759 = 0.\nAnswer: 1, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101 (base 2) in base 8?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/46593 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 23\/2, -1\/3, -40408, -14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116733073\/3012 - 38756. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + -80 + 44 + -92?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j + 3*j + 4*j**4 - 2*j**4 + 5 with respect to j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70452\/55 or -2\/5?\nAnswer: -70452\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 357 + -323. Calculate the remainder when 270 is divided by s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuuufmuuffguugo. What is prob of sequence of?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/14)\/(48\/(-280)))\/(-5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 180 = -0*w - 2*f, -3*w + 4*f = -275. Let g be 6\/(-30) - ((-152)\/w + 1). Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p + 37*p - 305009 = -s, -p - 2*s = -61009. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -41, -55, -53, -29, 23, 109?\n\"Answer: d**3 - d**2 - 28*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524545?\nAnswer: 5, 7, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40492469*t**4 - 365*t**2 - 27866 wrt t?\nAnswer: -971819256*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 = 0, -m - m = 4*h - 162. What is the third derivative of -37*a + m*a - 2*a**3 - 63*a**5 - 32*a + 3*a**2 wrt a?\nAnswer: -3780*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.2. Let x be (-2)\/(-6) + (-3)\/9. Let p = -90 + 91. What is the nearest to x in p, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 713 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 2*t - 15*t**4 - 258 + 368*t**3 + 17*t**4 + 260 + 18*t**3 to the form s*t**4 + l*t**3 + o*t + y + z*t**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -213 - -1?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 6*u**2 + 4*u + 5. Give n(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 326 = -22*k, k - 17 = 949*d - 951*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {k: 6, c: 2, b: 1, h: 2, w: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 676.3 and 5033.\nAnswer: 5709.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -5*p**7\/7 - p**5\/20 - 371*p**3 + 1050*p**2 - 2. Differentiate v(b) with respect to b.\nAnswer: -600*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.526 + 377268371?\nAnswer: 377268380.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0 - 3 = -5*a, -3*k = 4*a - 3. Let y(w) = 2*w + 0 - 2*w**3 - 2*w**2 - 3*w - 1 + 0. Does 14 divide y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10400 and 132180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 554661430 divided by -110932286?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110.897032 + 6128.\nAnswer: 6017.102968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1309*o**3 - 51 + 51.\nAnswer: -1309*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let j = -15.3 + 16.3. Let q = j + 8. Put -1\/4, q, w in descending order.\nAnswer: q, w, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-3)\/(-6) + 6. Suppose 3*u - 2453 = -0*u - 4*p, 0 = -w*u - 5*p + 3270. Suppose 0 = -3*a + 2*a + u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 2, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000945 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-7 - -6) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3570292, -7140652, -10711012, -14281372, -17851732, -21422092?\nAnswer: -24992452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 708, 5, -0.7 in descending order.\nAnswer: 708, 5, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0071946028 to five dps.\nAnswer: 0.00719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.09 - -102.09. Let b = n + -92.4. Which is bigger: b or 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 431737020*o**3 - 10960726*o - 20 wrt o?\nAnswer: 2590422120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/8, 0.5, 0.19 in decreasing order.\nAnswer: 2, 0.5, 0.19, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 2, g: 4, d: 2}. What is prob of picking 1 e and 1 u?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 3*z**4 + 7*z + 40*z**2 - 24*z**2 + 49*z - 17*z**2 - 24 as h*z**3 + b*z + w*z**4 + d*z**2 + m and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = -10*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.923259 + -0.1.\nAnswer: 13.823259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/(-4)*62\/217.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 4. Let i be -4 - 42\/(-10) - 27\/(-15). Suppose i*f - 13 = f + 5*m, 19 = 5*f - 2*m. Solve -n + f = -2*l - 1, s*l + 10 = -n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1090643 and -18?\nAnswer: -19631574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1193 = -u, -3*u = -0*u - 2*s - 3566. What is the greatest common divisor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 16.2404?\nAnswer: 18.2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(sqrt(363) - (sqrt(363) + 3 + sqrt(363) + -4) - (sqrt(363) - -5*(sqrt(363) + -1 + sqrt(363) + sqrt(363)))))**2 + 0.\nAnswer: -1402500*sqrt(3) + 65589375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -665, -1334, -2001, -2666, -3329?\n\"Answer: i**2 - 672*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + o**2 + 2*o + 2. Let i be w(-1). Suppose -i*d - 285 = -a + 293, -4*d - 580 = -a. Is a a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 11489 (b) 5\/2 (c) 5 (d) -31\/5 (e) -1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*t**3 + 12*t**2 + 187*t + 211046 wrt t.\nAnswer: 33*t**2 + 24*t + 187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2011 (base 3) to base 7\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.5, 1, -0.013, -18, 6\/49?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 3*z - 3. Let b(c) = -9*c**2 - 14*c + 14. Let h(q) = q**2 + q - 1. Let p(x) = b(x) - 3*h(x). Give 34*j(f) + 6*p(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -s + 5*s + 48, -5*c + s + 52 = 0. Let y(l) = -5*l + 63. Let f be y(c). Solve 4*a + 7 = -f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 30 + 13*i)*(-47 + 22 - 38) + 2*i - 2 + 2.\nAnswer: -817*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2601 is divided by 2593?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 110*g**2 - 134*g + 28. Let b(z) = 22*z**2 - 27*z + 6. Let o(q) = -14*b(q) + 3*f(q). Let o(u) = 0. Calculate u.\nAnswer: 0, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 9) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 51 = 7*y. Suppose -f = -6*a + y*a - 137, 4*f = -2*a + 458. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/5 + 516*a**2\/5 + 4851*a + 346302\/5.\nAnswer: 3*(a + 33)**2*(a + 106)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/2))**(-2\/29)*(m**(-2))**(42\/11) assuming m is positive.\nAnswer: m**(-2469\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112 by -10.\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/((r**(3\/2)\/r)\/r)))\/(r\/r**(-2\/9)))**(1\/15))**(-4\/3) assuming r is positive.\nAnswer: r**(62\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4164 is divided by 76.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 + 4 + (0 - 8). Let i(g) = 4*g**3 - 6*g**2 - 3*g**3 - 3*g - 3*g**2 + 3*g**2 - 10. What are the prime factors of i(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 6*n**2 + 6*n - 2. Let u be a(5). Suppose -u*s + 204 = 48. What is the highest common factor of s and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = 5*j - 246, 50588*j + 4*k + 72 = 50590*j for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/99)\/(6\/18)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 2:31 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76785039?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 36 = -2*d - z, 290*d + 5*z = 291*d - 60 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let z be d(-3). Let g = 38 + -34. Suppose 0 = -4*k - i + g*i - 1, -4*k - 5*i = 9. Put k, 0, z in increasing order.\nAnswer: k, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-15)\/148)*6\/(-9024)*-376?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.88 + 12.171. Let u = r + 0.77. Let l = u - 0.561. Which is the third biggest value? (a) 1 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(18\/12 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34)\/(-4) + (-2)\/4. Suppose -56*p + 54*p = -5*y + 372, 3*y + 4*p - 192 = 0. Calculate the highest common divisor of s and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s**2 - 93214384*s - 1086115173062432\/7 = 0.\nAnswer: -23303596\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 70 = 15*h. Solve 6*b - b = h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -202433.78.\nAnswer: -202438.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**5 - 26781*h**2 - 6548132*h.\nAnswer: 40*h**3 - 53562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2965, -5380, -7249, -8572?\n\"Answer: 273*h**2 - 3234*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14.08751 * 13\nAnswer: 183.13763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (151118\/(-66))\/((-2)\/(-12)*-2) - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 5*k**4 - k**2)*(-58 + 15 - 75).\nAnswer: 590*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8587 = -g - u + 746, -4*u + 46665 = 5*g. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78.6 - 79. What is the third biggest value in 2, -0.2, q, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 17 + 17 = 0. Sort -5, 4, i, 5 in decreasing order.\nAnswer: 5, 4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/11, -33, 1\/6, 2, 0.66?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3789, 3837, 3885, 3933, 3981?\n\"Answer: 48*b + 3741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**3 + 2*w**2 + 3*w. Determine a(-3).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v + 1. Let l = -9 + 1. Let i = 9 + l. Let g be x(i). Solve 2*f - g = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 788 and 4356.\nAnswer: 858132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 14*g**5\/5 + 93798*g**4\/5 - 96550*g**3 + 13410*g**2 = 0?\nAnswer: -6705, 0, 1\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 - -104. List the prime factors of p.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1571643?\nAnswer: 3, 19403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-128)\/7 + (-6)\/(-21). Let g = h + 15. Let d be (-2)\/g - (-56)\/(-66). Which is the closest to -1? (a) 3 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/120 - w**5\/60 + 3*w**3\/2 + 12*w**2 + 2. Determine b(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let n(y) = 5*y. Let q(k) = -22*f(k) + 4*n(k). Let l(b) = -b - 1. Let u be l(-5). Let m(j) = u*j**2 + 2*j**2 - 4*j**2. Calculate q(m(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -470.4996 rounded to 1 dp?\nAnswer: -470.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 31. Let s = -4.7 + -0.3. Let g be 24\/(-14) + (3 - 1). What is the closest to -0.1 in g, i, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Let w = 0.5 - 0.8. What is the nearest to -0.1 in w, k, 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - -1)*(-6)\/10. Let s = 10 + -2. Let j be 10\/s - u\/(-12). Solve -v + j = 3*z + 6, 4 = -3*z - 2*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/45, -12\/97, 1\/4, -2, -4 in descending order.\nAnswer: 1\/4, -4\/45, -12\/97, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133.49 - -133.49. What is the nearest to -3 in d, -1, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4297 - 3623. What is the remainder when v is divided by 214?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147.27192931 + -0.02073\nAnswer: 147.25119931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 2*s**2 + 2*s + 2. Let m be c(2). Suppose -55 = 4*n - m*n - t, 139 = 5*n + 2*t. Calculate the remainder when n is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*k + 1. What is the smallest common multiple of 9 and (k\/(-10))\/((-2)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, -35, -117, -219, -335, -459?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7910 is divided by 2634.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*o - 64, 4 = l - o - 28. Suppose x + 4 = l. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*h + 8 - 35, 3 = -w + 3*h. Suppose -w*r - 2041 = -19*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476955895 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 5 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/9, 1, -18\/7, -0.4, 0.933, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423316.\nAnswer: 2, 105829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(76)*-1 + (sqrt(76) - (-1 + sqrt(76) + 3)))**2*-6.\nAnswer: -11424 + 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**4\/24 - 4*y**2. Let p(i) = 13*i. Let r(t) = -7*t. Let g(d) = -6*p(d) - 11*r(d). Determine s(g(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggk when three letters picked without replacement from {g: 5, k: 8}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47716nm in meters?\nAnswer: 0.00000000047716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4259865 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.12 + -0.48. Let g = -1.2 - -0.7. Put 0.3, w, g in increasing order.\nAnswer: w, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - da1?\nAnswer: -d9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -58. Suppose -3*m + 5*r + 11 = -2*m, -4*r = -3*m + o. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*p = -3*t - 11, -3*t = p - 1. Let i be t*-5*(-2)\/(-24). Suppose -5*j = -2*j + 3. What is the nearest to -3 in -4\/5, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 6 - 3)*((0 + 2 + 1)*(-4*a - a + 6*a) + (1 + 3 + 4)*(2 - 2*a - 2)*(-1 + 15 + 2)) in the form h + m*a and give m.\nAnswer: -2024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3)**(1\/3) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {s: 2, q: 1, x: 11, l: 1}.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (3 + 110\/(-35) + 8\/(-14))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**8\/3864 - p**7\/2415 + p**6\/1380 + p**5\/690 - 12*p**2. Factor f(r).\nAnswer: -2*r**2*(r - 1)*(r + 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1496330602?\nAnswer: 2, 13, 57551177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**5\/5 - f**4\/2 + f**2 - f - 2. Factor z(s).\nAnswer: (s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14714134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80.607 - -64.7. What is z rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4\/4 - 27*n**3\/2 - 801*n**2\/4 - 746*n + 960 = 0.\nAnswer: -32, -15, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 26*f**2 + 85*f - 75. Determine g(-22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01392323465 and 5.\nAnswer: 5.01392323465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1098.8 (b) -5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158946187 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-72)\/8) + -7. Solve l + 0*l - 3 = y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 3:08 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (186 - (-346 + 631)) + (-1 - -2) + 9 + 1.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**3\/2 - 7*w**2\/2 + 2*w. Let g = -23 + 17. List the prime factors of q(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11*g + 23. Let m be l(2). Suppose -2*t + 3 - m = 0. Sort 10, t, -2.\nAnswer: -2, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 0.06 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(112) - (sqrt(7) + sqrt(175)*6)) + (-2 + sqrt(63) - -3*(sqrt(7) - sqrt(343))))**2.\nAnswer: 200*sqrt(7) + 17504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 113998362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + (7 - -579) + -6 + 4 is divided by 190.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + h + 0)*(535 - 535 - 69*h)*(h - h - 12*h) in the form l + y*h**3 + j*h**2 + x*h and give y.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3705 = 5*k - 5*m, 3*k - 4*m - 738 = 2*k. List the prime factors of k.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 8*o + 12. What is the second derivative of o - 15 + p + 63*p**4 + 48 wrt p?\nAnswer: 756*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 86? (a) -1 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1239*b = 20043 + 9693 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 + 2*z - 2*z - 4*z**5 - z**5 + 4*z**5 + (0*z + 2*z**2 + 0*z)*(-5*z**3 + z**3 + 2*z**3).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 7*o. Let a be (-4)\/(-48)*-15*4. Suppose -2*k + 28 = -2*x - 0*x, -5*k - 10 = 0. Let p(u) = -6*u**2 + 22*u. Calculate a*p(h) + x*q(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -11. Calculate the common denominator of 3988\/168 + b\/21 and 25\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z - 3. What is the remainder when r(-3) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -4322\/421?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/((-3)\/(-36)). Suppose 6*v + o = 4*v. Let h be (-1 + 3)\/(3 + -5). What is the smallest value in h, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*i - 14 = 223*i - 3*u, -4*u + 8 = 0. Solve -y + k = -i, -8 = 22*y - 17*y + k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -8, 10, 31 in ascending order.\nAnswer: -8, 7, 10, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3)*10)\/(4\/6). Which is the second biggest value? (a) 27 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 7:50 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 13, 0, 2.\nAnswer: -34, 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54840?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 + 112. Suppose v = m*s - 37, 4*v + 0*v = -4. Calculate the least common multiple of 106 and s.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-3*r + 3*r - r) + 10 + r + 9 - 15.\nAnswer: -r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 4:29 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*h - 2504 + 2990 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 2*c**2 + 2*c + 15. Let s be u(0). Let i(v) = v**2 - 18*v + 42. Let o be i(s). Let y(r) = -r - 6. What is y(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + (-3 - -6) + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1936 is divided by 919?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 3, t: 2, w: 4}. What is prob of picking 1 q and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -493b0b (base 14) to base 16.\nAnswer: -2642af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 902221?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 19*a**2 - 141*a + 266. Let z(m) = -159*m**2 + 1126*m - 2126. Let j(w) = 17*y(w) + 2*z(w). Solve j(v) = 0 for v.\nAnswer: 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 176, 7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -61 and 5520.31?\nAnswer: -336738.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*(-12)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1920 divided by 20\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vivviivyvviyvivv. What is prob of sequence iyy?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303133 (base 5) to base 13.\nAnswer: 45c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 272263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 times 13?\nAnswer: 3263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 8:12 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 4*n**5 - 3 + (0 + 0 - n**4)*(-n - 4 + 4) + 4*n**5 - 4*n**5 + 3*n**5.\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 7*f + 12. Suppose 5*y - 285 = 5*g, -25 = -y + 3*g + 34. Calculate the least common multiple of b(-11) and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18648.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073746259.2 rounded to the nearest 1000000?\nAnswer: 2074000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 176 + (-102 - -19)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 14*v**2 - 6*v - 24. Let h be o(-14). Let n be 5 + (-318)\/h + 2\/4. What is the fourth biggest value in 0.4, 2, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4203425257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2)\/(-3) + (-430)\/(-129). What is the nearest to 1\/2 in 3, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 4*k**2 + k + 3. Let g(j) = j**2 - 5*j - 11. Let m(i) = i + 15. Let b be m(-8). Let t be g(b). What is c(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.36 + 0.06. What is the third smallest value in 3, 3\/2, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*o + 2*o - 18, 18 = z + 4*o. Suppose -y + 5*s + 5 = 0, 2*y + z*s = 7*s + 25. Does 25 divide y\/(-25)*(-430)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -197, -572, -1305, -2516?\nAnswer: -4325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.977649 kilograms to tonnes.\nAnswer: 0.000977649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1915362547 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 23 - -15) + 11 + 0 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.617754 nanograms?\nAnswer: 0.000000005617754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1\/4, 1, 41, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-seven halves of a litre?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 180?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/45 + (-286)\/390. Put 2, p, -77, 4 in descending order.\nAnswer: 4, 2, p, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18080\/1600 - (-23)\/(-2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 194772.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4027 - -24217\/6. Let q = -32\/3 + t. Let m = 1079\/8 - 1075\/8. Which is the nearest to -2? (a) q (b) -3\/8 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 = -3*d, 2*d + 4 = 5*x - 10*x. Suppose 3148 = q + d*q. Suppose 9*c - q = 365. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 12*y**4 - 9*y**3 + 9*y**2 - 9*y - 24. Let c(a) = -a**4 + a**3 - a**2 + a + 1. Let z(v) = 9*c(v) + n(v). Differentiate z(o) with respect to o.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -69*y**5\/20 + 9810*y**2. Let f(x) = 46*x**2. Determine f(i(q)).\nAnswer: 1971054*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1 + sqrt(180))*-2*-4)**2 + ((sqrt(980) - (sqrt(980) + 2 + sqrt(980) + sqrt(980)))*2)**2.\nAnswer: 1216*sqrt(5) + 27280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -29 - (2 + -7 + 1 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*b + 0 + 12\/5*b**3 + 16\/5*b**2.\nAnswer: 4*b*(b + 1)*(3*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h - 16*h**3 - 34*h + 10*h - 82*h**3 - 200*h**2 + 12*h.\nAnswer: -2*h*(h + 2)*(49*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34279*l**2 - 3513*l**3 - 17138*l**2 - 17141*l**2.\nAnswer: -3513*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 195db (base 16) in base 12?\nAnswer: 50163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d - 25. Suppose 0*b = -5*o - 2*b + 16, -2*o + 10 = 2*b. Put -1, d, o in decreasing order.\nAnswer: o, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -145. Let t = 69.076 + w. Let z = t - 0.07599964. Round z to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w + 6. Suppose 9 - 57 = -8*a. Let r be (2 - 0) + (-3)\/(-1). Let v(g) = -7*g - 5. What is a*v(k) + r*f(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1653112.17 and 0.\nAnswer: -1653112.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/139345 + -16609848\/2647555. Let k = 66\/19 + n. What is the common denominator of k and -15\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567329 (base 10) in base 13?\nAnswer: 16b2c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 3*l = -3, 109*p - 111*p - l = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21558364 divided by -167\nAnswer: -129092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 9. Let w be 10\/(-4)*(1 + 3). Let t be h(w). Solve 5 = 5*r - 4*l, -5*l + 6 = 5*r + t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 2\/15*c**4 - 1\/175*c**7 + 4\/15*c**3 + 0*c + 0 - 1\/150*c**5 + c**2 - 2\/75*c**6. Suppose d(h) = 0. What is h?\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -815364*f**3 + 2 - 9*f**2 - 51*f + 2*f**4 + 815364*f**3 as k*f**2 + u*f**3 + z*f**4 + p*f + m and give p.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -357015?\nAnswer: 714030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) 0 (c) 0.05 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79481 is divided by 6623.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - s**4 - 15*s**2 + 25*s**2 - 4*s**2 to the form f*s**2 + a*s + p*s**4 + v*s**3 + z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2579, 2601, 2639, 2699, 2787, 2909, 3071?\n\"Answer: u**3 + 2*u**2 + 9*u + 2567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -205, 3, -1 in ascending order.\nAnswer: -205, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**5 - 48*c**4 - 176*c**3 + 888*c**2 + 172*c - 840 = 0. What is c?\nAnswer: -5, -1, 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/194566 and -35\/18.\nAnswer: 1751094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5737*f**3 - 4*f**2 + 4*f + 14. Let t(s) = -28684*s**3 - 22*s**2 + 21*s + 77. Determine 2*t(p) - 11*x(p).\nAnswer: 5739*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 832 = -1488. Let q be (10\/(-8))\/(1\/(-4)). Let u(m) = m**2 + m - 2. Calculate the remainder when z is divided by u(q).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:05 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**4 + a**2 + 3. Let u(y) = -1210*y**5 - 4*y**4 - 42*y**2 - 12. Let x(g) = -u(g) - 4*z(g). Find the third derivative of x(t) wrt t.\nAnswer: 72600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-11)\/(-99))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0815 rounded to three dps?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*r + 80*r - 37*r = 1410 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k - 122*k + 1296 - 316 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4443878?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37\/35, 1.4, -3.\nAnswer: -3, 37\/35, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2619.5094 + 4.\nAnswer: 2623.5094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707*o - 131 + 1891 = 381*o + 414*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + j**2 - 10 - 1 in the form y*j**2 + b + h*j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -1. Let x be 42\/j*(-4)\/12. Let r = x - 5. Solve 0 = u - r*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in years?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65387295 to the nearest integer?\nAnswer: 8086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/7700?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 208360939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8303 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 4512.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58484 is divided by 265.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 at least as big as 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2795\/3 - -916. What is the common denominator of s and 0 - -3 - (-63)\/(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -1\/4, 5\/3, -61, 2 in decreasing order.\nAnswer: 2, 5\/3, -0.12, -1\/4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ddd0ca + 3?\nAnswer: ddd0cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9367 - -9362. Put -2\/7, -0.3, k, 39, 2\/7 in descending order.\nAnswer: 39, 2\/7, -2\/7, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 663087*x. Let g(y) = -4*y**2. Determine g(n(c)).\nAnswer: -1758737478276*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-2.851\nAnswer: 0.2851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109668793 is divided by 66587?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 8*x**2 + 27*x - 16. Give r(-11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 3116?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 136*c - 1713. Calculate l(11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 818066, 1636134, 2454202, 3272270?\nAnswer: 4090338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -243, -0.1, -2\/11, -3?\nAnswer: -243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**3 + 6*p**3 - p**3)*(-3 + 6 - 1)*(0 + 1 - 5)*(22 + 15 + 33) to the form r + d*p**3 + u*p + k*p**2 and give d.\nAnswer: -1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsk when three letters picked without replacement from {w: 1, f: 3, k: 1, h: 1, s: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffgffffgf. Give prob of picking 2 f.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*f + 43*f + f**3 + 46*f to t*f**3 + b + l*f**2 + g*f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/19)\/f*f**(-3))**46)**(-1) assuming f is positive.\nAnswer: f**(3404\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 111\/169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/((i\/(i\/i**(-17)))\/i)))\/i**(-19)*i**(-16)*i**21 assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.43\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 103 = 127. Let l be 65\/(-26)*s\/(-15)*-2. Which is the closest to -0.1? (a) -1\/10 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 m, and 1 u when three letters picked without replacement from imiiumiiiiimuiiiiiii.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*x**2 - 248 + 83 + 123*x + 82*x + 5*x**3 + 130*x = 0.\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 9, 5 = 4*a - 0*p + p. Suppose 3*o = 4*f - 5, a*f + 11 = -4*o + o. Let j = 20 - o. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1670, -1443, -1216, -995, -786, -595?\n\"Answer: -q**3 + 6*q**2 + 216*q - 1891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -13 - ((-29 + 8 - -4) + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -4*p**6\/5 + p**3\/2 + 237*p**2 + 108*p - 1. What is the derivative of o(g) wrt g?\nAnswer: -96*g**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -754*b**6 + 4*b**4 - 802*b**2 - 2. Let q(v) = -754*v**6 + 6*v**4 - 801*v**2 - 3. Let u(y) = 3*j(y) - 2*q(y). Find the third derivative of u(w) wrt w.\nAnswer: -90480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -11*y - 2. Let r be t(-3). Suppose 0 = -0*h - 3*h - 2*a + 24, 3*a = -4*h + r. Let q be 11\/(-14) + h\/35. Is 0 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 - 0.9. Let i = a - 0.8. Let b = -1.00000095 - i. What is b rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4 + sqrt(80) + -3 + 1*sqrt(80))*1*6)**2*5.\nAnswer: 480*sqrt(5) + 57605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -153, -285, -405, -507, -585, -633, -645, -615?\n\"Answer: l**3 - 139*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 186876 and 36.\nAnswer: 186876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/19749312 and -107\/108621216.\nAnswer: 217242432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 - 10 = 0. Let r(l) = -5 - 2*l**2 + 3*l + 6*l**2 - 8*l - 2*l**2. What are the prime factors of r(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1. Let q(a) = -7*a**2 - 4*a - 6. Let l(o) = -3*d(o) - q(o). Is 19 a factor of l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 12. What is the smallest common multiple of 6 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1604341 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14043 and 20157?\nAnswer: 2830.64751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**3\/((((f\/((f**30*f)\/f))\/f)\/f*f)\/f) assuming f is positive.\nAnswer: f**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*g + 13*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -14. Let v be (-8)\/(-4) - 3 - x. Let k = 24 - v. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5838 = -749*v - 18879 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -25. Suppose z = 3*c + 11100001, -u*c - 2*z = -7*z + 18500005. What is c rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 1, 5, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5930 + 5877. Which is the closest to q? (a) -2\/19 (b) -4 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 13*t**2 - 3*t - 17. Let p be m(6). Let d = 4 - -1. Sort -1, -5, d, p in increasing order.\nAnswer: -5, -1, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259 + -140. Suppose -5*n + 3*n = -3*q - 213, 0 = -n - q + a. Calculate the common denominator of 145\/18 and (n\/20)\/(-3) - (-6)\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3 + 2*y - 6*y**2 + y**2 + 0*y**3 - y**3. Let h = -4 + -1. Calculate a(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2997, 6006, 9033, 12084, 15165?\nAnswer: 18282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 2*b**6\/15 + b**4\/12 - 3*b - 4. Let y(c) be the first derivative of d(c). Find the third derivative of y(z) wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 3*d - 43, 321 = 6674*i - 6673*i + 25*d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wygzn. Give prob of picking 1 y, 1 w, 1 n, and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 1. Let d(u) = 17*u + 4. Let w(o) = -d(o) + 4*k(o). Let r(i) = -3*i. Give w(r(l)).\nAnswer: 39*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r - 3. Solve 0*y + 4*g + 13 = -r*y, -4*y = -5*g - 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.9 - 40. Let q = j - -12.1. Which is the closest to q? (a) 4 (b) 2\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p - 69. Which is bigger: -22 or p?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 121\/(-242)*(36 + 4)*1. Let r(l) = 12*l. Let t(s) = -s. Suppose 2 + 0 = -2*v. Calculate o*t(j) + v*r(j).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 31, 118, 239, 394, 583?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a - 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbjj when four letters picked without replacement from {k: 2, b: 1, j: 5, g: 2, o: 6}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*q*t**3 + 3*g*q*t**2 + 4*g*q*t - 167*g*q - 79*g*t**3 - 2*g - 2*q*t + t**2 + t wrt t?\nAnswer: 12*g*q*t + 6*g*q - 474*g*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*s + 6 + 7, 3*p = -3*s - 3. Suppose -1 = -s*v - 19. Which is the smallest value? (a) v (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, s: 1, u: 4, e: 2, k: 3}. What is prob of picking 1 x and 1 u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.5 plus 175.122?\nAnswer: 90.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -17*c**3 - 2*c**2 - c + 18. Let y be w(3). Let r = -22 - y. Is r != 440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/32 and -29\/1352?\nAnswer: 5408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 246*b**2*r**2 - 2*b**2*r + 5*b**2 - 6*b*r wrt r?\nAnswer: 492*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 73*v**3 + 5 - 3.\nAnswer: 73*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -330900 * -35\nAnswer: 11581500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8820933 milligrams?\nAnswer: 0.0008820933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 14 = 12*f + 2*s, 3*f + 4*s = 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.02, -0.02, 13, 2\/43, -16\/5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1713*t**4 + 43*t + 23 wrt t.\nAnswer: -20556*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 682 - 680. Which is the third biggest value? (a) g (b) -22 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 368 + -358. Suppose 0 = -g - 5*i + l, 2*g - i = 16 + 15. Solve 0 = -3*y - 3*h + g, 2*y = -0*h + 5*h + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*b**4 + b**2 + 75*b wrt b?\nAnswer: 192*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39839671 is divided by 95.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17577 * 0.2.\nAnswer: 3515.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 1444. Let k(i) = -i - 2. Calculate q(k(t)).\nAnswer: -2*t + 1440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 17*m - 11. Let k be n(16). Suppose -3*v + 40 = -5*u, 0 = -k*u - 2*v + 6 - 21. Suppose 0 = t + 2*t. Put u, -1, t in decreasing order.\nAnswer: t, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6253891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 25076 = 4*y, 2*i - 4*y + 165 = -12397. Let c be 3\/(-3) + i\/(-3). Round c to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -636*i**5 + 217*i**2 + 3*i?\nAnswer: -38160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -a97a41 (base 12) to base 10\nAnswer: -2688529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -1 + -30 + -31 + 63.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 605300049?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 12*h - 14*h - 10, -5*j + 4*h = -11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j - 39 = -50*j + 13. Solve -a - g = 2*a + 18, a - 7 = j*g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3 + 2838*q**2 - 5053212*q - 20258128 = 0.\nAnswer: -2449, -4, 1034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from ffktkghkhbfth?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6b (base 13) to base 5\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*m + 3*c + c - 68 = -129*m, 68 = 21*m - c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 1 - 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 383 - 370. Suppose -4*d + 5*r = -21, -4*r - 24 = -4*d - 4. Suppose 3*g = d*g - n. What is the remainder when 24 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1156786.719 and 1.\nAnswer: -1156785.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**3 - 2*a**2 - 5*a - 5. Let p = 15 - 7. Let d(s) = 1 + s - 19*s**2 + 4*s**2 + 8*s**2 + s**3 + p*s**2. What is -5*d(m) - i(m)?\nAnswer: m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 104*v + 1247. What is n(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 4 (b) -3\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30395909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114266338 is divided by 1997?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27876728 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 4. Suppose -11*x - 245 = -4*x. Let d(c) = -28*c - 35. What is x*a(v) + 4*d(v)?\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141 and 711.\nAnswer: 33417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 2*s - 2. Let z(m) = -m**2 - m - 1. Suppose 7*t = 2*t - 5, -4*t = 5*o - 16. Let h = o + -7. Calculate h*d(j) + 7*z(j).\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -10*w - 6. Let h be i(2). Let r = 58 + h. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4 = 0, 52*c - 4*g = 109*c - 54*c - 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.3, 6, -0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10931 - -169272. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Let c(p) = -p**3 + p**2 + 4*p + 13. Let a = 1 - 0. Let s(z) = a*c(z) + 4*d(z). What is the units digit of s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 46685.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/12 + 41\/(-3). Let y = u - -25. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 31*w**2\/4 - 9*w\/4 + 279\/4.\nAnswer: (w - 31)*(w - 3)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 o, and 1 z when three letters picked without replacement from kblojbz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/(-185)*6\/(-15)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {o: 1, j: 2, t: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**3 - 4*q - 1. Let l(v) be the first derivative of -v**4\/4 - v**2\/2 + 34. Calculate b(n) - 4*l(n).\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(2299) - sqrt(2299)*2) + sqrt(2299))*6 + -2*sqrt(2299)*-1 - 5*((sqrt(2299) - (4 + -1 + sqrt(2299))) + 1 + sqrt(2299) + 5))*-6)**2.\nAnswer: 35640*sqrt(19) + 752976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.1584 days in milliseconds?\nAnswer: 41658485760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -234*a - 240*a + 469*a + 6 + a**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804006 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/72 and 15\/9256.\nAnswer: 83304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 - 213\/(-2)) + 2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = -4*f, -1 = -9*r + 8*r - f. Let n(k) = -6*k**2 + 11*k**2 + 13 - 19*k**2. Let m(v) = 7*v**2 - 6. Give r*n(w) - 9*m(w).\nAnswer: -7*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/13 - -1 - 281\/3653. Let t(l) be the first derivative of 6*l - 18 - 3\/5*l**5 + 9\/2*l**2 - l**g - 9\/4*l**4. Suppose t(p) = 0. Calculate p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3) + 2 + (sqrt(13) - 2*sqrt(13)*-5) + (1 + (-2 + sqrt(832) + sqrt(832) - sqrt(832)))*-6)**2.\nAnswer: -576*sqrt(13) + 16912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 16359*w - 1 + 7 - 11 - 12 to h*w + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2836238, -5672397, -8508556, -11344715, -14180874?\nAnswer: -17017033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*3\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 29. Suppose -s = 2*o - 36. Calculate the highest common factor of o and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 = 5*a + 4, -4*a = -2*l - 14. Sort 12, -2, l, -1.\nAnswer: l, -2, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24726752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 3*v - v)*(-1 - 5 - 4)*(-92 - 70 + 226) as w*v + p and give w.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11 + 2 + 5 + 255*c + 8. What are the prime factors of q(1)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0026 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4*303411\/(-76)*(-1)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 10884407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2 = -p + b, p + 4*b = -7. Let k = -30.7 + 33. Let i = k - 0.3. Which is bigger: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b33d2 - -7c?\nAnswer: 1b3470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*p + 4 = -2, -5*p = -5. Is y\/(-11) + (42716\/44)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 512675.264521 - 0.2.\nAnswer: 512675.064521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61483, 122824, 184165, 245506, 306847?\nAnswer: 368188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69325?\nAnswer: 5, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18881350 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.8. Let p(j) = j**3 + 12*j**2 - 29*j - 6. Let h be p(-14). Suppose 12*n - h*n - 4 = 0. Which is the second biggest value? (a) n (b) 2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.71 - 0.5?\nAnswer: 249.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r + 0 + 0*r**2 + 0*r**4 - 1\/2*r**3 - 1\/120*r**5. Let d(t) be the second derivative of q(t). Calculate d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231110 divided by -21010?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*o + 49*o = -765 - 275 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-48)*(11\/((-121)\/(-2)))\/(-2)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2464)\/(-12) - (-6)\/9. Let l = -125 + i. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2755 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 5 (c) -15492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116444047?\nAnswer: 71, 1640057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5694, -889, 7116, 18315, 32702, 50271?\nAnswer: 71016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - 18. Let i be z(9). Suppose 88 = -i*u + 10*u. Suppose b + u = 3*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 - 90. Which is the nearest to n? (a) -0.3 (b) 5 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**5\/12 - x**3 - 11*x**2. Differentiate d(w) wrt w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5718276 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 763 = 3*m, -5*m + 2*d - 1323 = -60. Let u be ((-5)\/((-10)\/6) - m) + -4. Let t = u - 102. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 5606 - 590. Calculate the greatest common divisor of 57 and w.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 114. What is the lowest common multiple of k and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -89*h**3 + 15*h**2 - 10*h - 4. Determine l(1).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 17. What is the closest to -3\/5 in 2\/7, 1, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 13, 0 in ascending order.\nAnswer: -2, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 0*u + 10 - 35\/2*u**2. Let n(j) = 7*j**2. Calculate q(n(f)).\nAnswer: -245*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288 (base 14) to base 3.\nAnswer: 200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 5*j - 3*j + j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 90*(2 + (-15)\/6). Let b = m - -46. Is 12 a factor of ((-80)\/10)\/(b + 8\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*o + 265*o + 403*o + 180*o - 2*o**2 - 1423*o.\nAnswer: -2*o**2 - 1148*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 6:52 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3 = n, k = -2*n - 0*n + 1. Suppose -2*w - x = 0, 3*w - 4*w - 3 = -x. Does w = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 11 = -5*m, 87*q + 4*m = 84*q - 41 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 2*t**6\/15 - 7*t**4\/3 + 8*t + 26. Let w(q) be the first derivative of k(q). Find the third derivative of w(h) wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604196803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, p: 5, q: 1, a: 4}. What is prob of picking 1 q, 1 a, and 2 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buq when three letters picked without replacement from {v: 1, u: 1, w: 2, b: 1, q: 1, l: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -48. Calculate the highest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five halves of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 12*s**2 - 96*s + 541. Calculate h(6).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u. Let k(z) = -3381*z. Let g(l) = -52*l + 5. Let h(s) = -260*s + 24. Let n(a) = 24*g(a) - 5*h(a). Let t(i) = 6*k(i) + 391*n(i). Give f(t(r)).\nAnswer: 92*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19602 divided by 824\nAnswer: -9801\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4760 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -0.09, -33, 0.09 in increasing order.\nAnswer: -33, -17, -0.09, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1031080 and 38108440.\nAnswer: 6920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 115 + 545*h + 94 - 696*h wrt h.\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m - 8*m + 53*m)*(-21 + 2*m**2 + 21)*(8*m**2 - m**2 - 3*m**2).\nAnswer: 296*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-11 - (-4 - 3 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 192216.\nAnswer: 192215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 41446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4615 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - 0) + -16 - (-77 + 70)) + 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4196 equal to -4195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {d: 4, h: 1, e: 2, v: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stc when three letters picked without replacement from sseerctseeeses.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 821*t*x**2 - 4499*t*x + 7*t - 137*x**2 wrt x.\nAnswer: 1642*t - 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3)*(106*t - 1059 + 1059) in the form a*t + i and give a.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 13*f**2 - 4*f - 16. Let w be n(12). Calculate the greatest common factor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.23 (b) -2 (c) -1\/113 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 769237 from 0.0808207.\nAnswer: -769236.9191793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1460\/7*t + 0 + 1468\/7*t**3 + 2924\/7*t**2 + 4\/7*t**4.\nAnswer: 4*t*(t + 1)**2*(t + 365)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259796.\nAnswer: 2, 107, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/6 - 7015\/(-2415). What is the nearest to -3 in -3\/5, 0.1, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2159 = -26*t + 909. List the prime factors of t.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = -82. Suppose -7*a = -45*a - 49*a + 2784. Calculate the smallest common multiple of a and q.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 577665102 - 5?\nAnswer: 577665075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-92)\/(-84) + -1). Let x be 15 + (0 - 7)\/(-1). Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1\/4, -13, 0.4, 27?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4353 + -2)*(2 - (-6 + 27)). Suppose -17*k + 18218 = -o. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 23*j - 44 = 0. Sort 3, j, -1, 2 in decreasing order.\nAnswer: 3, 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*-0.057.\nAnswer: -1.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-234)\/(-12))\/(-13))\/4\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21754693 and 8.\nAnswer: 174037544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1613986719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78916554 and 1722.\nAnswer: 552415878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -307, -109, 3, 4, 1 in decreasing order.\nAnswer: 4, 3, 1, -109, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -155792.064 times -0.4?\nAnswer: 62316.8256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 22*d**2 - 310*d - 88. Let q be i(-9). Let x = -1.1 + -2.9. Sort 1\/7, x, q in increasing order.\nAnswer: x, 1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 490, -1, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 + 4*i + 7. Let r be j(-7). Suppose r + 154 = 4*u. Calculate the greatest common divisor of 28 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-15) + (-116)\/30 + -4. Let y(c) = 4*c + 52. What are the prime factors of y(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3146 (base 9) in base 8?\nAnswer: 4406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1433641 and 8083.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6)\/(3\/4062). Suppose t*z - 681*z = 0. Let w be ((-3)\/(-9))\/(1\/3). Sort 2, w, 5, z in increasing order.\nAnswer: z, w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 171 = -5*z, -2*p + 5*z - 73 = -p. Let o be ((-105)\/6)\/7*p\/35. Solve -2*q - 2*n + 14 = 0, 2*q - 7*n + o = -2*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 5*h - 0*h. Suppose 77 = 2*y - h. What is the remainder when y is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*t - 17 = -0*b, 5*t = -4*b + 35. Let x(l) = 6*l - b - 8 + 2 - 1. Is x(10) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 458.566 decades?\nAnswer: 4.58566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 225*m**2 - 221*m - 440. Calculate v(224).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 917*r + 2159 + 3807 + 2724*r + 358*r wrt r?\nAnswer: 3999","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 519 divide 4042491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 45. List the prime factors of j\/6*-2 - -22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -543 - 15*b + 870*b**2 + 15*b - 869*b**2 to v + r*b + t*b**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -14791123.\nAnswer: -26\/14791123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*s + 102 = -247*s + 124*s. What is the remainder when 1910 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(80))**2 + sqrt(125)*-5.\nAnswer: -480 - 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2709 and 21.\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -3*y**4\/4 - y + 27. Let x(l) = l**2. Determine c(x(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-21)\/14)\/((-3)\/4). Suppose -w*y + 2*f = -3*f + 115, -4*y = 3*f + 165. What is the tens digit of ((-54)\/y)\/(2\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01034 - -7.\nAnswer: 7.01034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021100200 + -102?\nAnswer: -1021101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21798?\nAnswer: 2, 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 142 + 42. Let b(r) = -1 + r**2 + 3*r**3 - r - 3*r - 2*r + 4*r. Let p be b(2). Calculate the highest common factor of p and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*k + 2 = 0, 6*k - 3*k + 6 = 0. Solve -3*i + 5 = -s, 4*l - 19 = -5*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15958071611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -219, 4, 52 in decreasing order.\nAnswer: 52, 4, -1, -2, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11692 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4.62, 0, -4 in ascending order.\nAnswer: -4.62, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 50649 = q - 50662, -3*y = q - 35 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 239\/264 - 21\/88. Factor 0 - 1\/3*g**3 - g**2 - p*g.\nAnswer: -g*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {x: 5, a: 7, y: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -323*q**4 - q**2 + 31*q?\nAnswer: -7752*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*c - 276*c**2 + 90*c + 275*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1624 and 1050177.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 16199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/16 and (-2)\/9 - (-4268)\/(-720).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 m, and 1 z when three letters picked without replacement from {l: 1, e: 2, s: 2, z: 1, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2 - 8*p = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-5 + 9 - -5)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3127, -3129, -3131, -3133?\nAnswer: -3135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4728 + 16 - (-6)\/(4\/8*4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 19. Let y = k + -14. Which is the smallest value? (a) 2 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -569751641 * -2\nAnswer: 1139503282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5\/4 (b) -11 (c) 5 (d) -3\/2 (e) -0.091\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.3 + 30. Which is the smallest value? (a) -45 (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 741972512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 8*q + 2. Let k be s(5). Let t = k + 86. Factor 6*u**2 - 10*u**3 - 9*u**2 - t*u + 13*u**3 + 3.\nAnswer: 3*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -614, -1109, -1934, -3089, -4574, -6389?\nAnswer: -8534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -3, 0.5, -46?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**3\/3 - 3*x**2 + 9*x + 57. Let f be w(3). Solve f = -5*j + 2*a + 1 - 24, -4*j - 3*a = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 37 + 5*o**2 - 5*o**2 + 4*o**2 - 2*o + 3*o**3 to the form c*o**3 + y*o + p*o**2 + l and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9))**18 assuming o is positive.\nAnswer: o**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4043, 7722, 11401?\n\"Answer: 3679*r + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-30)\/(-8)*(-22)\/55). Suppose -5*u - a + 286 = 0, -237 = -5*u - v*a + 50. What is the greatest common factor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.2332 millennia in decades?\nAnswer: 3023.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u\/(u\/(u**(2\/23)\/u))))\/(u**(-4\/7)\/u))**(-1\/65)*(u**1)**(1\/15)*(u\/((u\/u**(-2\/11))\/u))\/(u**(-4\/3)\/u) assuming u is positive.\nAnswer: u**(367832\/115115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 6*y - 7. Let s(m) = -m**2 + 12*m - 15. Let f(z) = 5*q(z) - 2*s(z). Let j(x) = x**2 - x + 1. What is -f(w) - 6*j(w)?\nAnswer: -3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g**2 - 4*g**3 + 2 - 5*g**2 - 6 + 2*g**3 to the form v*g**2 + i*g + s + p*g**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4928 = -4*p, 5*p + 85*q = 87*q - 6137. Is p at most -1228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(1\/(-124) + 0). Let y = 85 + a. Let m = 67 + y. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/5, 792.\nAnswer: -3, -1\/5, 792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 806015.6 rounded to the nearest ten thousand?\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 79. Let j(i) be the first derivative of 2*i**3 - i**2 - 2*i + 1. Is j(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-3) + 0 - -116 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 2:30 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13606555?\nAnswer: 5, 1511, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -19. Let s = 12 + r. Is s smaller than -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 - 6 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/14*(-28)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9 = 8. Let g = t + -10. Let y = g + -2. Sort -1, y, -5 in ascending order.\nAnswer: -5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 211 + -14. Let z = 351 - j. Suppose l + 2*l = 4*p + z, 5*p = -2*l + 72. Calculate the remainder when l is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-seven fifths of a day?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 1007?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 1980 + 2012 = 3*c, 0 = -y - 4*c - 27 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3120402ml in litres?\nAnswer: 0.0003120402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1978*q + 9. Let x(h) = -682*h + 3. Determine 3*s(u) - 8*x(u).\nAnswer: -478*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 11 + 14 = 5*b, 25*b = 29*b + 5*r - r - 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-16)\/(-4)))\/(5\/30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.022 (b) -5 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + (-9)\/(-18)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278*2 - (-4 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*a = -511*a + 2491 - 44201 for a.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 7:39 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 7. Let g be j(5). Let w be (60 - -3)*4\/g. Let u = -11 + w. What is the greatest common factor of u and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-20)*b)\/b*b)\/b**17*b**19*(b\/(b*b\/(b**1*b)*b))\/b)**20 assuming b is positive.\nAnswer: b**(-340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2804 = 11*n + 2342 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 15 + 51 + -55 + (-4 - -5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 12*b - 1830. Round b to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10123, 10192, 10261?\nAnswer: 10330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360754 - 25155?\nAnswer: 335599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57415, 0, 9 in descending order.\nAnswer: 9, 0, -57415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -295*t + 2*t**3 - 310*t - 31*t**2 + 603*t + 2 as q*t**2 + n*t + m + g*t**3 and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -75. Let j = 18 + i. Let s be (-1)\/(-2)*2 - j. Solve 5*u = -0*u + 5*p + 45, s = -4*p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10344 and 48?\nAnswer: 20688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 125 = -3*t, 0 = 3*t + 5*y - 214 + 69. Is t greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 - 18*c - 18. Let s be p(-1). Solve -5*a = -5*y + 35, -s*a - 7*y + 2*y = -17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 3 + 15*k**2 + 14*k**2 - 32*k**2 + 8*k**2 - k**3. What is v(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1536 divided by 24.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 62*i**2 - 1816*i - 2684. Determine u(84).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 + 192. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + t = 29, -4*g - t = -59 + 2. Suppose u + 2*u - 4*h - g = 0, -12 = -5*u + h. Solve -4*i = -5*i + u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:57 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738722 to the power of 1\/2, to the nearest integer?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqequeqqqeus. What is prob of sequence ue?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 14*a**2 - 7. Let n(g) = 13*g**2 - 6. Give -6*k(b) + 7*n(b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 118, 212, 306, 400, 494?\n\"Answer: 94*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.97 and -104632.\nAnswer: -938549.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (385\/10)\/(2\/(-4)). Calculate the remainder when 12 is divided by (-6)\/(-135)*-3 + (-610)\/f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10862563661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001100 + -1010011111011?\nAnswer: -1010111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7864*u**2 - 1832.\nAnswer: -15728*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16046.\nAnswer: 2, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 137273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155691 + -101722. Suppose 37*s - v = 8*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 56 = -3*c, 10*c + k - 28 = 8*c. What is the greatest common divisor of c and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b - 12 - 3*b + 134*b**2 - 25 wrt b?\nAnswer: 268*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (85 - (-72 - -187)) + (66 - 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(270) - 3*sqrt(270))\/sqrt(10)*-1*-6 + -1)**2.\nAnswer: 72*sqrt(3) + 3884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -445*u - 5538. Determine d(-9).\nAnswer: -1533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)\/t**(1\/62)*(t*t\/((t**(-2\/49)*t)\/t)*t)**(-2\/33))**(3\/7) assuming t is positive.\nAnswer: t**(46743\/233926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x - x)*(233*x - 1281*x - 253*x) + (-3*x - 3*x + 4*x)*(-2 - x + 2).\nAnswer: -1299*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 1, f: 1, o: 1, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/(f*f*((((f\/f**(-7\/3)*f*f)\/f)\/f*f*f)\/f)\/f))\/(((f\/((f*f**(-4)\/f)\/f)*f)\/f)\/f**(-6\/17)) assuming f is positive.\nAnswer: f**(-545\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2069377*k**5 + 4840422*k**2?\nAnswer: -124162620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(6\/5))\/a*a*a)\/(a*a**(-19\/5)))**(-2\/81) assuming a is positive.\nAnswer: a**(-14\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*o = -165*o - 3072 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5227 = 3*w - 29269, -3*v + 5*w = -25872. List the prime factors of v.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvjvevwvvlo. What is prob of picking 1 e and 1 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6*p - 90. Suppose -64 = -p*c + 16*c. What is the least common multiple of c and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 864 and 4704.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**2 - 9*o**2 + 2*o**2 - 11*o**2 + 33*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r + 1. Let u(f) = 2*f**3 + 0 - 2 - r - 3*f - 3*f**2. What is the remainder when u(3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 82?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61966812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 390.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -914*q + 915*q - 1386*q**2 - 1499*q**2 to the form l*q + t*q**2 + j and give t.\nAnswer: -2885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -4\/7, 3, -3\/856?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2893 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 137337 or 2?\nAnswer: 137337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 791.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -550 - -550.075. Put f, -1, 3, 0.4 in descending order.\nAnswer: 3, 0.4, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3156 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - a + 4. Let c(r) = -3*r + 1. Let n be c(2). Let i = n + 2. What is the tens digit of h(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3554255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*n + 19 = 104*n - 3*b, -4*n - b = 28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = -17 - 39. Is -2\/15 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 - 4*x + 63. Suppose -14*q + 22 = 8. Let n(h) = -h**2. Let t(c) = q*i(c) + 5*n(c). What is the first derivative of t(f) wrt f?\nAnswer: -18*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.1 or 6294?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0269841 + 0.027. Round v to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -139?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**40)**35\/(y**(-3\/4)\/y*y**(-30\/7)) assuming y is positive.\nAnswer: y**(40349\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -5. Which is the second smallest value? (a) 5 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v**5*v))\/v)\/(v\/(v**(-11)\/v)))**(-1\/8) assuming v is positive.\nAnswer: v**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 0*r - 2*r - 10, 5*m + 4*r - 78 = 0. Let g = 364 - 322. What is the greatest common factor of m and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 13. Let z be i(-11). Suppose z*a + 62 = 370. List the prime factors of a.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*h + 44*h + 0*h + 26*h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + b**3 + 0*b**3)*(-2 - 3*b + 2) + 0*b + 0*b - 2*b**4 + 2*b**2 + 5*b**4 - 2*b**2.\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*u - 38*u**4 - 569*u**2 + 39*u**4 + 4*u + 6*u + 3*u in the form a + t*u**3 + i*u**4 + f*u + r*u**2 and give r.\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.074 + -2.974. Let b = 2.73 + z. Let o = b + 5.97. What is o rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33855789 to the power of 1\/2, to the nearest integer?\nAnswer: 5819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, o: 1, w: 5}. What is prob of picking 1 w and 3 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -744*z. Let p(q) = 22554*q. Give p(x(s)).\nAnswer: -16780176*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207033 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2686444 is divided by 207?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 48199 + -831\nAnswer: 47368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80417 - 48920. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 - (-15 + 22 + -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 + 71 = -47*k + 260 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20848579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-four fifths of a kilometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*p - 333. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmhhhhththoth. What is prob of sequence hh?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2512572186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 3, z: 1, f: 1, p: 11, l: 3}. What is prob of sequence fp?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2029 + -2958. Let r = -562 - v. Calculate the remainder when r is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**19\/(b*b**(8\/7)\/b))\/((b\/(b\/((b**(4\/3)\/b)\/b)))\/b*b**(1\/10)*b) assuming b is positive.\nAnswer: b**(3869\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/6)\/(15\/400). Calculate the highest common divisor of 60 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(9\/4))*s\/(s*s*((s\/(s*s**(1\/4)*s))\/s)\/s))\/(s**(-2))**44 assuming s is positive.\nAnswer: s**(185\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858354 divided by 16.\nAnswer: -429177\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*f + 10, -6*z - 2*f + 16 = -3*z. What is the third derivative of -6*k**3 - 4*k**z + 6*k**3 + 0*k**3 - 3*k**2 wrt k?\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 970 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 - 7. Let m be v(-6). Suppose -3*n - k + 63 = -6*n, -2*k = -4*n - 84. Let o = n + m. Round o to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, q: 11}. Give prob of picking 1 r and 2 q.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d + 3*d)*(-4*d + 4*d + d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20594 is divided by 214.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - 12525?\nAnswer: -12506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -47961, -5, 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(114)\/sqrt(3))\/sqrt(2))**2*6 - (-6*(sqrt(19) - (2 + sqrt(19))) - (2 + sqrt(114)\/sqrt(6))).\nAnswer: sqrt(19) + 674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -282, 2, -5.\nAnswer: -282, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3 - l**2*p**3 + 234*l**2 + 2*l*p**3 + l*p**2 + 14*l*p - 3*p**3 wrt l.\nAnswer: -12*l - 2*p**3 + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1062, -2103, -3134, -4149, -5142, -6107, -7038, -7929?\n\"Answer: r**3 - r**2 - 1045*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 (base 7) in base 16?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -26.8. What is the closest to 1 in -0.1, -5, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2014*a = -1998*a + 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 694248 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -807, -1, 2, -3, -321, 5 in increasing order.\nAnswer: -807, -321, -3, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-272 + 663 - 272)*(7*p + 4*p - 4*p) - 3*p + 2*p + 0*p + (-3*p + 0*p + 4*p)*(-1 - 3 + 2) + 1 - 1 - 2*p.\nAnswer: 828*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 803*x - 16690. Give r(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2102002122 (base 3) to base 8\nAnswer: -134540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 7\/(14\/16). Let d(y) = y**2 + 5*y + 6. Let a be d(l). Factor 3*m + 5*m**2 - a*m**2 - 4*m.\nAnswer: -m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7836, 62380, 210122, 497562, 971200, 1677536?\nAnswer: 2663070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 - j**2 - 2*j - 1. What is k(-2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 463010266 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -2*t**3\/3 - 1. Let c(v) = -11 + 8*v - 5*v + 11. Calculate c(j(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 4*r - r**2 + 0*r. Let x be z(2). Solve x = 4*c + 4 + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21321023 + 0?\nAnswer: 21321023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 334804 times -0.2?\nAnswer: -66960.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w**(-6)*(w\/w**(-1\/4))**(-26))\/((w*(w\/(w*w\/w**2*w))\/w)\/w*w**(-5\/3)*w*w*(w**(-2\/11)\/w)\/w**6) assuming w is positive.\nAnswer: w**(-2221\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*u**3 - 5125*u**2 + 5125*u**2.\nAnswer: 46*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 c, and 1 i when three letters picked without replacement from cicikikkkkuc.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 3, 52, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 4738*s - 929265.\nAnswer: -(s - 4533)*(s - 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.08842 litres in millilitres?\nAnswer: 77088.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofoudu. Give prob of sequence fuoo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 5 + 30 = 0. Let c be 2\/(-7) + 132\/21. Is g != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5780 is divided by 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.44 + -20.45. Which is the smallest value? (a) 1\/8 (b) -2\/11 (c) w (d) -0.02 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 + 22 - 1528*l**2 + 1529*l**2 + (6*l - 3*l - 2*l)*(-5*l + 3*l + 3*l).\nAnswer: 2*l**2 + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 73\/(-2) - (-18)\/24. Let f = -1203\/28 - b. Calculate the common denominator of f and 89\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in 1\/6, -23, 56\/9, -0.4?\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Let k be ((-74)\/5)\/(2\/(-5)). Solve 2*v = 3*n - o*v + k, -4*v = -20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 13) to base 12.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 756604.2 months to decades.\nAnswer: 6305.035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m - 812 = -56*m + 68*m. Solve m*f - 48 = 21*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28337153993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17378 - 15515. What is the highest common factor of s and 1134?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -9*q**3 + 12*q**2 + 12*q = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 20, 2*u - 4*b - 1723 - 2357 = 0. What is the highest common factor of u and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 30. Let b be -15 + 7 + 6\/r. Let f = b - -29. What is the lowest common multiple of 6 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3 - 2*w + w**2 + 0*w + 4*w. Determine k(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762 + 147 = -5*r. Suppose -3*d + 117 = -r. Suppose 0 = n - 8*s + 3*s - 16, -5*n + d = s. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 14*j**2 - j - 15. Let l be n(-14). Let c be -1 - 2 - (l - 8). Suppose c*o = -177 + 3171. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -868448 + -1.\nAnswer: -868449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1426335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -12*j + 7*j. Let z be j\/2 + 118\/14. Are z and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23981323 is divided by 29033?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f - 2*f - 4*d, 3*d = 3. Let m = 0.08 + -3.08. What is the biggest value in f, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l. Let i(t) = -t + 2. Let q(m) = 2*m + 5. Let a(y) = 2*i(y) - q(y). Give o(a(c)).\nAnswer: -28*c - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(400) + 2*sqrt(50)\/sqrt(2))\/(-1*sqrt(245) + (sqrt(500)*1 - sqrt(5)))*3)**2.\nAnswer: -2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-221 + 228 - (-1 + 22)) + 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-2)*4\/6. Let d = -1163\/9 - -129. Let f = -5\/18 + d. What is the nearest to 1 in f, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1751202661 to the nearest integer?\nAnswer: 41847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**4 - c - 1. Let k(h) = -15*h**4 + 15*h**3 + 5*h**2 + 5*h + 10. Let a(n) = -k(n) - 20*z(n). Suppose a(q) = 0. What is q?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2 - 13. Suppose 0*c - c - 25 = b*a, 2*c - 2*a = -2. What is the smallest common multiple of (4\/c)\/(14\/(-35)) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1. Let f(m) = -4*m - 14. Calculate f(r) + 6*y(r).\nAnswer: -4*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -9*j**5\/2 - 115*j**4 + 2753*j**3\/2 + 8643*j**2 - 9900*j = 0.\nAnswer: -33, -50\/9, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135956*n**6 - 6642359*n**2 wrt n?\nAnswer: -16314720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22688492020 rounded to the nearest one million?\nAnswer: 22688000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66026 is divided by 32.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3114 and 17942046509.\nAnswer: 17942049623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 4 = 6*g, 0 = 5*x - 4*g + 1617. Let l = 639 + x. Suppose -66 = -5*y + l. What is the smallest common multiple of 16 and y?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-99)\/15 - (-2)\/(-5). Let d be r*((-12)\/14 + 0). Suppose 5*x + 0*x = 10. Calculate the highest common factor of d and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 - 17*p + 1. Give g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + -1*(2 + sqrt(1573) + 0 + -3)**2 + -5.\nAnswer: -1582 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 23*j**2 + 2*j - 75. Determine u(23).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -160.9?\nAnswer: -161.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(539)*-3*-2.\nAnswer: 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 213*x = -85*x + 332*x - 10010 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-42))\/(5\/(-30)). Which is the closest to h? (a) 3 (b) -2\/11 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4677737 to the nearest integer?\nAnswer: 2163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4408232 to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10))**37 assuming m is positive.\nAnswer: m**(-370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1304 + 3753 = 2*k + 5*r, 5*k - r = 12602. List the prime factors of k.\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -40, 8, -1, -11 in ascending order.\nAnswer: -40, -11, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m + 9*m - 6*m)*(0 + 5 + 1) in the form c + b*m and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101210110 (base 3) to base 11.\nAnswer: 5a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(((sqrt(153) + (sqrt(153) - (sqrt(153)*-2 + sqrt(153))))*6 - sqrt(153)) + sqrt(153) + sqrt(153)))\/((sqrt(36) - sqrt(9))*-3*-2))**2.\nAnswer: 6137\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1371*f + 5256. Does 148 divide n(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1675523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by -80?\nAnswer: 89\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -5*(sqrt(77)*-2 + sqrt(77))) + sqrt(77))\/(sqrt(176) + sqrt(176)*-1 - sqrt(11)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/9))\/k)**(-24)\/(k*k*k**(13\/4)*k*k*k**(3\/5)) assuming k is positive.\nAnswer: k**(-791\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i + 67. Give x(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - 9 - 42 - (-26 + -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/32 and (-321)\/(-312) - (-14)\/(-91).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591775853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -5, -1 in decreasing order.\nAnswer: 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*w + 57. Let x be (-9250)\/(-35) - (-4)\/w. What is the greatest common factor of x and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 - 2*i**2 + 2*i - 2. Let u(y) = -3*y**3 - 3*y**2 + 3*y - 3. Let s = 6 - 3. Give s*w(v) - 2*u(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/5, -2, 9, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -225.0801393 + 1925.0793123. Let c = r - 1700. What is c rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 77569.5nm?\nAnswer: 0.0000775695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n - 5. Let w(v) be the second derivative of v**3 - v**2 + 4*v. Let k be (-12)\/(-10)*(-5)\/(-2). Suppose -k*u + 6 = -21. Give u*w(l) - 4*m(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - y = 25, -297*k - 10 = -295*k + 2*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 17*y**2\/2 - y - 8. What is the lowest common multiple of 18 and a(1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -y + 4*c, 109*c - 4 = 105*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29211679 or 29211678?\nAnswer: 29211678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 867, 2887, 6063, 10395?\nAnswer: 15883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3558932351?\nAnswer: 13, 19, 53, 271861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*n - 3*o + 5*o = 140*n + 16, -24 = -4*o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 12*p**2 - 1350*p + 16191. Give q(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h**2 - 36*h. Let j(x) = -7*x**2 + 35*x. What is -6*f(b) - 7*j(b)?\nAnswer: b**2 - 29*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.75, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 111111?\nAnswer: -111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**4\/6 - 7*w**3\/6 + w**2 + 6*w - 161. Let j(m) = m + 1. Let r = -11 + 5. Calculate r*j(l) - b(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3248 = -4*u - 2*p + 231434, -4*u + 5*p + 228221 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/17, 5, 3.2 in decreasing order.\nAnswer: 5, 3.2, -5\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -84 times 20294.4\nAnswer: -1704729.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -x - 12. What are the prime factors of ((-348)\/(-24))\/(x\/(-4))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 170 + -9959a?\nAnswer: -9942a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 93*h**3 - 2*h**2 - 4*h - 2. Let k be b(-1). Let g = k + 191. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81909072 and 49392.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -116, 3, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -587 - -589. Are o and 4\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 35*q + 26. Let v be k(-11). Suppose v*a - 101 - 891 = 0. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -4607, -2\/5, 0.2, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0)\/w)**(-22)*w*w**(-3\/8)\/w*w**(1\/6)\/w assuming w is positive.\nAnswer: w**(-29\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tptpppppzpsbiz. Give prob of picking 1 i and 1 t.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**4\/4 - 4*l**3\/3 + 5*l**2\/2 - l + 8. Let b be 5\/((1 + 0)\/(-1)). What is m(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - c = 3*u - 12, u + 5*c + 12 = 0. Suppose -2*t - u = -4*t. Put 0.5, t, -1\/3 in increasing order.\nAnswer: -1\/3, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 64\/(-48)*((-8 - -4) + 1). Solve 3*c + 5*b + 4 = 0, 9*c - 16 = 5*c + p*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 14\/2) + 3. Let c be (j\/2)\/((-2)\/120). Suppose c = -4*k + 8*k. What is the greatest common divisor of k and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 16*u + u + 179, -73*u + 15 = -74*u - h for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 5*w**3 - 14. Let f(d) = -2*d. Calculate v(f(k)).\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1111101011010100110000 (base 2) to base 10\nAnswer: 4109616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*a**3 + 170*a**3 - 76*a**3)*(0 - 4 + 6)*(-1 + 2*a + 1).\nAnswer: 56*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -640 * -43\nAnswer: 27520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/4)\/(12\/(-32)). Let t be 1\/(-6) - (5 - k). Let f = -1 + 0.7. Which is the third biggest value? (a) -2 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270850093 divided by 2231?\nAnswer: -121403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 11. Let r be d(-10). What is the closest to r in 7, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + h - 19 + 15 = 0, 3*j - h = -6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2561665613472 - 0.07\nAnswer: -2561665613472.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.55 + 0.9. Let z = a + 0.05. What is z rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - k**2 + 2 + 0*k - 2*k**2 - k**2 + 4*k**2 + 2*k**2 - k**2 - 5*k**2 + (k + 5*k - 5*k)*(10*k + 5*k - 2*k).\nAnswer: 9*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/104 + (-10012)\/(-13). Suppose -3*x - 3*c - 359 + 2729 = 0, 3*c = x - j. Suppose -59 + x = 6*v. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/17)\/x*x*x*x**(3\/8)*x)**(-49)\/(((x\/(x\/(x**(-2\/13)\/x)*x))\/((x\/(x**(-4)\/x)*x)\/x))\/(x**(-7)*x**(-5\/6)*x)) assuming x is positive.\nAnswer: x**(-594961\/5304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 4927\/(-9))*(-18)\/(-36). Let q = i + -273. Put 0, -1, -5, q in descending order.\nAnswer: q, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, x: 1, f: 5, t: 1, s: 1, o: 2}. Give prob of picking 1 t, 1 s, 1 k, and 1 o.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0557 (b) 8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 10 = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**5 + 8*g**5 - 581*g**4 - 3 + 751*g + 766*g + 802*g - 2761*g wrt g.\nAnswer: 80*g**3 - 6972*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.4447 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 1b08?\nAnswer: -1b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1258*v = 186*v + 951 + 6269. Let l be (-27)\/44 + (-1)\/(-4). Let c = -1\/33 - l. Sort 1\/4, v, c in increasing order.\nAnswer: v, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*z = -91*z + 10. Suppose 4*o = -3*f + 30, 4*f + 6 = 6*f - z*o. Let y be (-110)\/(-30) + 2\/f. Solve -y = 2*a + 4*m, -2 = 3*a - 3*m - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/((22 - 8)\/126). Put 4, h, -1, -2 in decreasing order.\nAnswer: 4, -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1756 = -8*c. List the prime factors of c.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3165*n**2 - 3.\nAnswer: -3165*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o**3 + 332 + 167*o**3 - 141*o**3 + o to the form i*o + b*o**3 + v*o**2 + z and give z.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**4 + 11204*y**3 + 1215232*y**2 + 28280640*y - 309772800 = 0.\nAnswer: -2689, -60, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4784 + -330082\/69. Let y = z + 3\/23. Put y, 4, -1 in increasing order.\nAnswer: -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 3*w - w**3 - 2*w**3 + (-2*w**2 - 4*w**2 + 2*w**2)*(-15 + 17 - 5*w - 10*w)*(3 + 2 - 3) as q*w + m + d*w**2 + c*w**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) + ((-27)\/42)\/(-3). Suppose 8 - 1 = -i - 4*p, 0 = 3*i + 5*p + 49. Let f = i - -205\/9. What is the closest to 0.3 in -5, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*r**2 + 129*r**2 + 880*r**2 to q*r + m*r**2 + o and give m.\nAnswer: 921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - -1.06. Let x = l + -1.33. What is the second biggest value in x, 5, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = 16*p - 113. What is the remainder when p is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnz when three letters picked without replacement from {q: 2, l: 2, b: 5, z: 6, k: 1, n: 3}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -36700332?\nAnswer: 36700332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16777*q + 5603*q + 5579*q + 8*q**3 + 5595*q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.09, 42.06, -0.1, -2\/3, 1\/2?\nAnswer: 42.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*y - 50954, 207*y + 84932 = 212*y + 2*v. Is 57 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095256457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*p - 5, 0*d - 5*p = 3*d + 17. Suppose -5*s = 5*v - 1300, -4*v + 176 + 888 = -4*s. Is (v\/d)\/(2\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0468405 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from didvddvdkvdddddfdkdi.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000101011 (base 2) in base 11?\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 36. Let p(q) = 2*q - 74. Calculate -7*g(l) + 3*p(l).\nAnswer: -l + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(2\/57)*(a*a**(-3\/5))**(-25))**(1\/9) assuming a is positive.\nAnswer: a**(-568\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.28558 take away 4048475899?\nAnswer: -4048475900.28558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2319 or 83?\nAnswer: -2319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r**2 - r)*(-3 + 5 + 0)*(19 - 6*r - 19) - 3*r - 6*r**3 + 10*r**3 + 2*r.\nAnswer: -8*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000524603 to six decimal places.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a kilogram in grams?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*5*3\/150 - (-2761)\/10. Calculate the greatest common factor of 2139 and r.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + 6330?\nAnswer: 6345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -28 + 31 - ((-8 - -4) + 4). Let f(w) = 2*w**2 - 2*w. Let m be f(-3). Sort 1\/7, m, k in increasing order.\nAnswer: 1\/7, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33935 and 132?\nAnswer: 407220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 4\/7, -126393 in increasing order.\nAnswer: -126393, -2\/3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(sqrt(143) + sqrt(143)*2)*-4)\/((sqrt(132) + sqrt(132)*1 + sqrt(132))\/sqrt(12) - -3*sqrt(55)\/sqrt(5)).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -479 + 503. Solve 2*y - t = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549810.1 centuries in months?\nAnswer: 659772120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/4))**(-6\/13)\/(v**(-1))**(2\/3))**7 assuming v is positive.\nAnswer: v**(175\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 12*k - 19. What is a(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64250685 + 64250685 + 4*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1378 = f - 278, -f - 5*t = -1656. Suppose 0*p - 4*p = x - 552, 3*x + 4*p = f. List the prime factors of x.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 + 11*z + 5*z**3 + 12*z**2 - z = 0. What is z?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 21*x - 96. Let m be o(12). What are the prime factors of (16\/(-12))\/(-1)*m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1027608 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**4\/6 - 13*n**3\/2 + 30*n**2. Let o be u(12). Solve 0 = 2*w - r + o - 1, 5*w + 2*r = -29 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6990 + 7074 = 3*s + 3*y, -y + 164 = 35*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 0*s - 2*s + s. Let a(c) = 2*c**2 - 13*c**2 + 9*c**2 + c**2. Calculate a(v(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -13*p + 48. Suppose -i - p = 5*u - 4*i, 3*u - 6 = -5*i. Let y(x) = -15*x + 5. Let t(o) = 8*o - 3. Give u*y(j) - 5*t(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/27 + 3\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a = -5*s - 167 + 32, -3*a - 2*s + 6 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.537 + 38154.\nAnswer: 38180.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7004217.41 plus -3?\nAnswer: -7004220.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*j - 1228 = -94*j + 452 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33373146?\nAnswer: 2, 3, 53, 104947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, -81, 5, -383 in ascending order.\nAnswer: -383, -81, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1630\/(-44825))\/(3\/(-15))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 54*x - 40 - 359 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 227295 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49*122\/(-427)*(-1)\/(1*(-8)\/(-10))?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/22 and -41\/30042.\nAnswer: 330462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 16*y**2 + 22*y**2 - 6*y**2 + 5*y**3 + 5*y**3.\nAnswer: 10*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6413.034 + 6392. Let w = q + 0.034. Let a = -20.99982 - w. Round a to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147631112 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.5 - 0.5. Let x = c + 3. Let v = 8 + -8.3. What is the nearest to x in 4, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**3 - 1804*t**2 - 282*t + 127177. Calculate c(451).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, x: 5, r: 2}. What is prob of picking 3 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33159 + 14386. Let w = p + 29800. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 69, 529, 1303, 2397, 3817, 5569, 7659?\n\"Answer: l**3 + 151*l**2 - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 8.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 112*i - 41*i + 23*i.\nAnswer: -130*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 859163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 39*y**2 + 31*y + 112. List the prime factors of u(-41).\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167\/168 + -29\/28. Let k = 4\/1333 + 49225\/31992. Let v = k + l. Which is the biggest value? (a) 5 (b) v (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 53031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292688?\nAnswer: 2, 11, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 35, 1 in decreasing order.\nAnswer: 35, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 205, -3, 1 in descending order.\nAnswer: 205, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12 and 48126502?\nAnswer: 48126514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 40824 - 4344. Does 76 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Suppose w + t = 7. What is the second derivative of 2*v**3 + 0*v**3 - 4*v + w*v wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 41658 = 351*c - 354*c, 69431 = 5*c + 4*k. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 623945?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-14)*x*x\/x**18*x*x*x)**(-32) assuming x is positive.\nAnswer: x**864","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - -108. Suppose 5*t + 5*u - 530 = 0, 5*u = 2*t - 20 - f. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1 + (-612)\/68. Let n(m) = 2 + 13*m + 3 - 3. Let q(r) be the third derivative of 7*r**4\/24 + r**3\/6 - 3*r**2. What is f*q(w) + 4*n(w)?\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 2*j**2 - 2*j + 1. Let r be c(1). Let v = 24 - 22. Suppose r = 3*a + 3*t - 45, a - 2*a + v*t = -9. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 3*y - 3. Let x(g) = -g**2 - 2*g + 2. Let k(q) = 3*u(q) + 7*x(q). Give k(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 7*y**2 - 5*y + 1. Let m be l(4). Is (-329)\/m*(1 + 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 79*w**2 - 91*w + 884. Let g be z(80). Solve -g*j = -2*t + 22, -4*j = -5*t - 4 + 29 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 9:04 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -196, -170, -138, -100?\n\"Answer: 3*r**2 + 17*r - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 27, 51, 95, 165, 267, 407?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 212297959*s**6 + 4*s**2 + 1953*s - 315.\nAnswer: 25475755080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -226\/11 - -20. Sort 0, -0.4, -1, h in increasing order.\nAnswer: -1, h, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -663 by 13.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m, -2*z - 7 = -3*m + 3. Let l(c) = -c**2 - 7*c - 3. Give l(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(450) + sqrt(450) - (sqrt(18) + (sqrt(1458) - 2*sqrt(1458))))\/(((sqrt(6) - sqrt(24)\/sqrt(16)) + sqrt(6) + sqrt(6))*-3).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-102) + 9693\/(-1377)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Suppose 342 - 336 = -3*w. Let m be (-2*32\/(-12))\/(1\/(-6)). Let n = -29 - m. Let i(q) = q**3 - 2*q - 1. What is n*k(x) + w*i(x)?\nAnswer: -2*x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 + 400. Calculate the least common multiple of w and 3.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.39 - 1.3. Let u = 0.0893 - x. Round u to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 7*l + 1. Let r be m(3). Is (-1361)\/r + 1\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60.317 times -6198\nAnswer: -373844.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -0. Suppose 0 = -2*p - f + q, -3*p + f - 2*f = -5. Solve -r + 4 = -p*a - 0*a, -2*a - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11162 + 12976. Solve 0 = t*g - 1813*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:59 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z + 18. Calculate x(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/12*135\/2. Suppose g + 1 - l = 0. What is the greatest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhbgggggbgggghg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -463.67 - -463.44087. Let n = q + 0.23. Round n to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 1. Let j be r(-4). Suppose 28 = 2*l - 36. Let u = l - 23. Solve 0 = -3*g - 3*c + 3, g - j*c - u = -38 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**6\/60 + x**4\/24 + 6*x**2. Find the second derivative of a(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12580 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 3821594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 6:30 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -49*y**2 + 5*y + 3. Let s be f(3). Let r = -2483\/6 - s. Find the common denominator of r and (-230)\/(-84) + 170\/(-68).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864 = -137*j + 65*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 4*w = -5*z + 15, -3*w - 14 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19456938?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12203112 (base 6) in base 8?\nAnswer: -1370564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 + q**2 + 5*q + 5. Let p(u) = -u**3 + u + 1. Let m(d) = i(d) - 2*p(d). Let v be m(-2). Let f = 10 + -1. Is v less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-584) + 869\/2409.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39688 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/20 + 33\/20. Let d be (-6)\/(-5) - (8 - 6). Let f(t) = t**3 + 3*t**2 - t - 4. Let i be f(-3). What is the third smallest value in i, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/12284 and 47\/913.\nAnswer: 135124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.164535 to three decimal places.\nAnswer: -0.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t**3 - 13*t**2 - 8*t**3 - 4*t**4 + 1 + 11*t**2 as l*t**2 + p*t**3 + v*t + h + i*t**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or -0.13335?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -75597, -151148, -226697, -302244, -377789, -453332, -528873?\n\"Answer: s**2 - 75554*s - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.45 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/34*1)\/(2\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 - 3*d + 4*d**2 + 4*d**3 + 98 - 3*d - 97. Let z(s) = s**2 - 6*s - 5. Let h be z(6). Calculate p(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13797 or 11739?\nAnswer: -13797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 - 4 = 0. What is the units digit of (-2)\/((-5 - x)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 27*f - 2 = 0. Let y be (2 + -1)*(3 - f). Suppose -2*p - 20 = y*s, -24 = 2*s - 0*p + 3*p. Let u(j) = j**2 + 9*j + 7. Determine u(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*n**5 + 2*n**2 wrt n.\nAnswer: 5760*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -933*k + 480*k + 489*k.\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/84 + -15*2\/(-56).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290590860 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (1 - (4 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4476*y + 90*y**2 - 7 + 7 - 4476*y.\nAnswer: 90*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(29\/3)*(g**(-6)*g)\/((g**(-3\/11)\/g)\/g) assuming g is positive.\nAnswer: g**(229\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -49*h**3 + 13*h**2 + 64*h + 1. List the prime factors of g(-8).\nAnswer: 25409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 + -2 + -1 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -385, 3, 0, -1, -2120, 5, 2 in descending order.\nAnswer: 5, 3, 2, 0, -1, -385, -2120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - -8. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -21*v**3 - 4*v + 4. Let s(n) = -1218*n**3 - 231*n + 231. Give -231*m(c) + 4*s(c).\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12*d + 55. Let k(m) = -3*m - 14. Suppose -y - 13 = -5*y - 5*u, 3*y = u + 5. Let a(r) = y*n(r) + 9*k(r). Let w be a(-7). Let v(s) = -s + 3. Give v(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(448) + (sqrt(448) - (0 + sqrt(448) + 2 + sqrt(448))) + sqrt(448) + sqrt(448) + (sqrt(448) - -6*(-1 + sqrt(448))))*6*-4 + -2)**2.\nAnswer: -324864*sqrt(7) + 20910724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1789 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + (sqrt(19) + -2 + sqrt(19) - sqrt(19)) + sqrt(19) + sqrt(342)\/sqrt(2) + sqrt(19))*5 + (sqrt(1216) + -1)*-5 + 0)*5)**2.\nAnswer: 2500*sqrt(19) + 48125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-28)*7*(-5)\/(-5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 16*p - 54. Let x be o(5). Is x equal to 2\/1983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 10911 (c) 0.3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2 - 18 = 0. Suppose -5*v - 3*q = -1480, 13*q + 1167 = b*v + 12*q. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 + 0*w**2 - 3*w**2)*(-25 + 25 + 7*w) - w**3 - w + w.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 300, 264, 228, 192, 156?\n\"Answer: -36*h + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 29*v**2. Let n(t) = -43*t**2. Calculate n(g(d)).\nAnswer: -36163*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/3960*(-2)\/1*3\/(441\/105)?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 29289861 and 29289868 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/2 + 18367*m\/2 - 27546 = 0.\nAnswer: 3, 18364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 4*k + 14. Let g be a(6). Differentiate 702*h + 5 + g - 714*h with respect to h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46.59 + -3.79. Let t = 56.12 - y. Let d = t + -16.4. Round d to one decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90022, 180049, 270078, 360109, 450142?\nAnswer: 540177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14191\/3060 - 66\/85. What is the common denominator of 29\/280 and s?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8215*j = 8231*j - 208 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -102\/1225?\nAnswer: -102\/1225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/9 + -8\/9. Let w = 0.07 - -3.93. What is the third smallest value in 2\/11, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w - 321. Calculate o(-39).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l - 22 = -5*q, l = q - 2. Suppose -3*h = -2*b - 34, b + 15 = 2*h - 9. Suppose -h = -3*p + l*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202 - 271*q + 202 to the form j*q + p and give j.\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020774895 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 12. Suppose 4*o + 2*o = m. What is the second derivative of 6*v**2 + 1 + 4 + 13*v - o wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3171.\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 3*w - 18, 3*r + 5*w + 22 = 0. What is the closest to -0.1 in r, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)*j*(j\/j**(-3))\/j*(j\/j**(-6))**(-9) assuming j is positive.\nAnswer: j**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-205*n - 1493*n - 2771*n)*(n - 5*n - 2*n) to the form j*n**2 + l*n + i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*b + 25608 + 2*b**2 - 25608)*(-14*b**2 + 28 - 28).\nAnswer: -28*b**4 + 350*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504554?\nAnswer: 2, 252277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 37*i + 45*i - 90*i. Let c(k) = -8*k + 6*k + 14*k. Calculate b(c(v)).\nAnswer: -96*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((590\/(-6))\/(8\/(-6)))\/(38 - (-10437)\/(-284)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4007, 2021, -3371, -13873, -31189, -57023?\n\"Answer: -284*z**3 + z**2 - z + 4291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 410311.54 to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10119*j**2 - 32450*j**2 + 8635*j**2.\nAnswer: -33934*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 131792503903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/25*10\/52?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328310 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k**3\/k))\/k)\/(k*(k*k**10)\/k))\/((k\/(k*k**(-5\/2)))\/k*k**2*k*k))**(-25\/4) assuming k is positive.\nAnswer: k**(975\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 834553851 + 8.2.\nAnswer: 834553859.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 155?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 15. Let m be n(6). Suppose -4*u + m*p = 899, 0 = 2*u - 4*p - p + 453. Let y = u - -325. Calculate the remainder when y is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*m - 19*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 2*x**2 - 4 + 1 - 4*x - 3 + x**3. Let q(b) = 2*b**3 + 4*b**2 - 11*b - 13. Let w(t) = 9*j(t) - 4*q(t). Let w(n) = 0. Calculate n.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:34 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 9. Let f be r(4). Suppose f*c = -5*s + 4000, -5*c + 4021 = -0*s - 2*s. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 710 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 6}. What is prob of sequence cc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61656948 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*n**3 + 1955*n**3 + 1703*n**3 + 1161*n**3.\nAnswer: 4711*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i + 9. Let o(k) be the third derivative of -k**3\/6 + k**2. Let y(d) = h(d) + 6*o(d). What is the first derivative of y(c) wrt c?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3593*a - 10990 = -136745 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 33) + (-2 - -7) + -631 + 643.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/((c\/(c*(c\/c**(-22))\/c*c))\/c*c))\/c)\/c*c)\/c*c)**(-2\/55)\/(c**(-34)\/c**20))**(13\/2) assuming c is positive.\nAnswer: c**(19006\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 4*i + 15. What is the hundreds digit of l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (1 - -1)\/(-2). Suppose b = -c - c - 18. Let y = -2 - c. Calculate the smallest common multiple of y and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/(-10)*(-9070)\/(-7256)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 1890*h + 32719. Determine i(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 13*y**3 - y**2 - 5*y + 6. Let t(l) = -14*l**3 + l**2 + 6*l - 7. What is 7*r(b) + 6*t(b)?\nAnswer: 7*b**3 - b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -35*p + 27*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (108\/(-72))\/((-21)\/574).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 smaller than 5317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -52.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254726, 254734, 254740, 254744, 254746?\nAnswer: 254746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -2. Suppose -6*d + 6 = -5*d. Suppose -3*c + 3*i + 6 = 0, -c - i - 2*i + d = 0. Solve -5*u + 0*x + 26 = c*x, -5*x = t*u - 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 19686*g**3 + 5*g**2 + 4*g. Let v(o) = 3*o - 14. Let s be v(6). Let i be b(s). Round i to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6787.\nAnswer: 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5344*b - 5340*b = 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.317788t in micrograms?\nAnswer: 4317788000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2407873 (base 11) to base 9.\nAnswer: -7807131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*k - 37 = 5*y, 2*y - 2*k + 16 = 0. Which is smaller: -8 or y?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 149\/(-20) - 4\/(-20). Let s be (-6)\/5*20\/(-3). Let b = i + s. Are b and -2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0216 - -0.0616. Let l be (-4)\/16 - (-22)\/(-8). Sort l, g, 1.\nAnswer: l, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 + 2567764*n\/7 = 0.\nAnswer: 0, 1283882\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.94 + -8.94. Let g be (2\/3)\/((-16)\/6). Suppose -4*h + 0*h = -4. Which is the smallest value? (a) h (b) g (c) r (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4596 - -4607. Sort -1, 2\/3, w, -3 in increasing order.\nAnswer: -3, -1, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13013 + 1442?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 329. Suppose 5*m = -u + 566. Calculate the remainder when 925\/9 - 2\/(-9) is divided by m.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2348\/17 - -138. What is the nearest to 2\/5 in -2, 0.03, q?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1602 is divided by 722?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 8080.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/52 and 95\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172.62 - 172.62173. What is f rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1383*y**5 + 3*y**4 - 172*y**2 + 2804682*y?\nAnswer: -27660*y**3 + 36*y**2 - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 1136?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -3*s - 5*o, -4*s + 3*o - 12 = 132 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37366.67 times -5?\nAnswer: -186833.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/6 (b) -4 (c) -3 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 1. Let u(p) = p**2 - 4*p + 1. Give 3*l(t) - u(t).\nAnswer: -t**2 + 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 511759 and 1362121.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*s + 27*s + 119 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 90328.07 millilitres?\nAnswer: 90.32807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -90*r - 5486. Let f be y(-61). Solve 2*w - f*l = 26, -8*w + 10*w - 2*l - 20 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 52. Let g = -197 - f. Let l = g - -160.167. Round l to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141898 (base 13) in base 2?\nAnswer: -1110111011011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 6:05 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-88)\/36 + 1 + 1. Put 1\/3, -3, q in descending order.\nAnswer: 1\/3, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320\/(-1120)*(-14)\/(-1)*4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*n - 8, 4*n - 30 = -2*f - 6. Solve f*v - 33 = 5*o, -2*v - 16 = 4*o - 0*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/2 of a day?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*d - 9, -4*p - d + 6 = d. Suppose p = -5*z + 197 + 343. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14145, 28325, 42505, 56685?\nAnswer: 70865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/22 - 258\/(-33). Suppose y + z = 3*y. What is the highest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44390? (a) 0.5 (b) -2 (c) -3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 11 - 5 = -5*f, 9 = -3*f + 5*g. Suppose -2 = -2*r + f. Suppose -2*y = r - 4. Which is smaller: y or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*r = -65*r - 102018. Solve -z = 5*a + 24, -r = -4*z + 3*a - 351 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1508\/7 + -215. What is the closest to -1\/3 in s, -29, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1392187 - -3969867. Let q = t - 2577678.640101. Let f = 1.36 - q. What is f rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 7 + -11 - -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37668, -75431, -113194, -150957, -188720?\n\"Answer: -37763*j + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Let j be (12\/45*w)\/(-2). Is 0.4 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l - 24 = 4*c + 48, -2*l + 6 = 2*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 5*v**2 + 4*v**2 + 9*v**3 + 7*v**3. Let n = -365 + 366. Calculate j(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 20*q + 38 - 55 = -15*q, y + 2*q = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 0*3\/(-9). Solve -c - v - 7 = -s, 3*c - 9 = 3*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-125)\/(-3*1 - -2). Let u be 2\/3 - z\/(-15). Suppose 0 = 2*r - 33 + u. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -19.9. What is the nearest to 0 in f, 5, 9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 125034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2*-43\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150912 divided by 24.\nAnswer: -6288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -211, -217, -227, -241?\n\"Answer: -2*k**2 - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d + 26. Let h be l(-6). Find the common denominator of 7\/h*(3 + (-297)\/42) and 57\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 1675 - 1651 = 0. Solve f = 7 - r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -555062, -555114, -555164, -555212, -555258?\nAnswer: -555302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4cc01 (base 15) to base 10\nAnswer: 245701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/99*15*(-39)\/(-260)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 88205?\nAnswer: 176410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 6. Let y be b(-7). Let d be y\/(-10)*(-30)\/12. What is the first derivative of -3 - 3*z**2 + 8*z**d + 0*z**2 + 0 wrt z?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*w - 10. Suppose -1640 = -2*n + 2*l, 0 = -5*n + 2*l - w*l + 4100. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2\/3, -1, -3\/5 in descending order.\nAnswer: 2\/3, 2\/7, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -5, 275, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16559 + 9526 + 76251 = -1248*h for h.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2208 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -15*((138 - 143) + ((-228)\/9)\/(-4)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -1767490?\nAnswer: 1767490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149937557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*q = 48, x = -0*x - q + 23. Let h = -4 - 14. Let i = h + x. Solve -2 = 2*r + i*t, 0*r + 2*t = 2*r - 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5115\/(-3762)*-6 - (-126)\/(-798)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 26*l**2 + 6*l + 5197. Let t(q) = -10*q**2 - 2*q - 1731. Give -3*d(p) - 8*t(p).\nAnswer: 2*p**2 - 2*p - 1743","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 3. Let p = 89 - 88. Suppose -p = -3*f + 5. Give z(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33178, 66414, 99740, 133156, 166662?\n\"Answer: 45*h**2 + 33101*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/39)\/((-453)\/(-1963))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26985 divided by -35?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59798359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4111 minus -1798711?\nAnswer: 1794600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 12, -0.4, -383?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-36)*-1*(-15)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3 + 58*a**2 - 60*a = 0.\nAnswer: -30, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 5 - 16 = 0. Solve -5*y + m = -4*a - 4, -a = -5*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 13*a**2 + 5. Determine y(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*c + 3*c. Let q(b) = -c*b + 11 - 4 + b + 4*b. Give q(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3996 is divided by 989.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9893771819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 260*u. Let q(t) = -t**2. Determine i(q(s)).\nAnswer: -260*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 - 49*a**2 - 34*a - 109. Determine b(13).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:51 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 5*d - 17. Let u be h(7). Let k(w) = -w**3 - w**2 - 3. Does 5 divide k(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 18*t - 2563. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 357821568?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 11:55 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 363 + -172. List the prime factors of t.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*u + 26. What is the units digit of u - (-9 + 0)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584612 a multiple of 398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 5056, -1\/9, 3 in decreasing order.\nAnswer: 5056, 3, 4\/3, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*r + 123*r + 1677 + 3 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -263794875.\nAnswer: -2\/263794875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2. Suppose 4*w - 16 = 36. Let f(n) = w*n + 6 - 6 + 2*n. Give f(d(l)).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*n + 504 = -8277, 0 = -3*s - 3*n + 13194. What are the prime factors of s?\nAnswer: 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.13, -0.3, 1\/12, -1\/4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 - 40. Calculate the highest common divisor of x and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 188 - 170. Calculate the highest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -4, -3\/5, -0.015, 2, -19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -17*j**2. Let y be (-30)\/(-24) - 6\/(-8). Suppose -1242 = -5*b - 362. Let h(w) = -2*w**y - 176 + b. Give u(h(l)).\nAnswer: -68*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.5 and 0.14.\nAnswer: 12.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 10. Let q be d(-3). Suppose 6*c = q*w + 5*c - 2, w - 2*c = -5. Let m(f) = 51*f**2 - 2*f + 1. What are the prime factors of m(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044652731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*t + 5650 = 5620, -2*t - 43 = 11*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 618, 620, 622, 624, 626, 628?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/65 and -0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/17 at most as big as 221\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 2 - 2)*(11 - 11 - 9*l)*(67*l - 122*l - 73*l).\nAnswer: -2304*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 144, 224, 310, 402, 500?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4766034225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16840.8 and -17176141.\nAnswer: -17192981.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/9*(-30)\/(-4). Suppose 3*z + 40 = 4*z + 5*o, -5*o = -3*z + v. Suppose -d - 4*d = -z. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -861 + 4403 = 78*w - 2230. Solve -w*s + 87*s + 39 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 6*i**2 + 6*i - 12. Let n be p(5). Let v be (-2 - -4)\/2 + n. Let g(h) = -h**3 - 7*h**2 - 9*h - 7. Give g(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.5386 and -0.4.\nAnswer: -2.21544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(-2 + (sqrt(192)*-1 + sqrt(192))**2 + sqrt(192)).\nAnswer: -48*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 290, 337, 384?\n\"Answer: 47*i + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 225? (a) -7\/36 (b) 3\/2 (c) -0.044\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 866235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -p + 5*h - 13, -3 = -h. Suppose p*a - 219 = -2*u + a, 336 = 3*u + 3*a. Let x(y) = 107*y + y**2 - u*y. Let r(m) = 2*m**2. Determine r(x(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 0.563?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/33, -0.4, 1, 2\/15 in ascending order.\nAnswer: -0.4, -1\/33, 2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**7\/1260 + 7*n**6\/360 + 71*n**5\/360 + n**4\/6 - 3*n**3 - 630*n**2. Determine j so that r(j) = 0.\nAnswer: -3, -2, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/11072 and ((-616)\/20 + -19)\/(-2 - (-4)\/5)?\nAnswer: 11072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) + (sqrt(105) - 2*sqrt(105)) - sqrt(105))\/sqrt(7)*4)\/((sqrt(5) - sqrt(80))*2*-1)*5 + -5.\nAnswer: -10*sqrt(3)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 14*v - 3. Let h be b(-14). Let j(p) = -3*p**2 + 2*p + 4. Let l(s) = -13*s**2 + 9*s + 17. Let g(r) = 9*j(r) - 2*l(r). Give g(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 0)*(6 + -7). Calculate the lowest common multiple of 4 + -3 - (-3 - -1) and n\/(-4)*-10 - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.4 + 5. Let u(l) = -4*l**2 + 385*l + 289. Let t be u(97). Put -1\/11, f, -4, t in decreasing order.\nAnswer: -1\/11, f, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185951?\nAnswer: 185951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.096235 rounded to one decimal place?\nAnswer: -57.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16551, -33107, -49663, -66219, -82775, -99331?\nAnswer: -115887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 23*o + 1 = -19*o, -4*o - 39 = -3*t. Solve -q + 5*g + t = 0, 3*q - 7*q - 28 = 4*g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*(f*f**(1\/3)*f*f)\/f*f*f)\/f)\/f**(2\/3))\/(f**(-3\/4)\/f*(f\/(f*f*f**(-2\/5)*f)*f)\/f))\/(f**6*f\/((f\/f**(-3))\/f))**(6\/7) assuming f is positive.\nAnswer: f**(1507\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17945.\nAnswer: 5, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2 + t + 3*t - 5 - 3*t. What is r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -2\/173, -1\/5, -3 in descending order.\nAnswer: 2, -2\/173, -1\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 262 - 115. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (278*r - 552*r + 277*r + 6)*(-1 + 2*r**2 + 1).\nAnswer: 6*r**3 + 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.14 (b) -23 (c) -1 (d) -2\/5 (e) 2 (f) -4\/21 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2766788237 to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*v = -15, 5*r + 3*v = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 10:37 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674.6707 millilitres to litres.\nAnswer: 0.6746707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/9)\/(12\/(-72)). Let z(b) = -b**2 + 5*b + 8. Let f be z(6). Suppose 4*t = -d - 4, -3*t - f*t = m*d + 8. Let y(h) = -h + 22. Give y(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 12531.\nAnswer: 4\/12531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(4 + (-20910)\/5229). Suppose -t + 4*t = o. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 + -91. Let k(i) = -17*i**3 + 2*i**2 + 2*i - 1. Is k(t) 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 5 + 408747664?\nAnswer: 408747670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 15*u**4\/4 - 42*u**2 - 32*u + 1. Find the first derivative of y(h) wrt h.\nAnswer: 90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 34*w - 22*w - 72 = 0. Factor -18\/5*n**w + 4\/5*n - 14\/5*n**2 + 0.\nAnswer: -2*n*(n + 1)*(9*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29308837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 78. Suppose 0*x - 5*x = 4*c - 43, 5*c - 47 = -4*x. Calculate the remainder when (-12)\/(-4)*f\/(-6) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12343 + 42303?\nAnswer: 24410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - 30100310?\nAnswer: -30100203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 414745?\nAnswer: 414740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 116230?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 0.2. Let g be (-4393)\/782 - (-3)\/(-2) - (-10 + 3). What is the third smallest value in i, 2, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 + 1429*j**2 + 2709*j - 152509. What is k(478)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10c (base 16) to base 11.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 14916*c**2 + 12643776*c - 2403530496.\nAnswer: 4*(c - 159)*(c + 1944)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194 and 26869.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jij when three letters picked without replacement from iqjqmjjlliii?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 29*a - 13. Let c(f) be the first derivative of 7*f**2\/2 - 3*f + 7463. Give 18*c(y) - 4*x(y).\nAnswer: 10*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 486321368 divided by 668?\nAnswer: 728026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(768)) + ((-1*sqrt(9))\/sqrt(3) - -2*(sqrt(3) + sqrt(9)\/sqrt(3))) + -5)**2.\nAnswer: -670*sqrt(3) + 13492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4)\/l)\/((l*l**1\/l)\/l)*l**(-6\/17)\/l*l**12 assuming l is positive.\nAnswer: l**(707\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 60305 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.7329 millennia to centuries.\nAnswer: 727.329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + ((-369)\/(-45) - -2)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16a108 + -746?\nAnswer: 169472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10156937 divided by -2?\nAnswer: -10156937\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-9)*(-3)\/1. What is the first derivative of -8*p**4 + 2 + 2*p**4 - k wrt p?\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.5, 0.2, 7\/8, -1261 in increasing order.\nAnswer: -1261, -0.5, 0.2, 1\/3, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(3\/(-2))\/(-3). Suppose q*s = 2*s - 18. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 318.4 - 318. Let d(y) = -5*y**2. Let l be d(2). Let v be 8\/l + (-16)\/10. What is the nearest to 0.1 in 1, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 4891343.\nAnswer: 2\/4891343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 3, 2\/5, -4, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-2)\/(-78))\/(1255\/(-1506))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 448865189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) -9 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 30, 0, -3.3, -0.034?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287 and 9553.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -23*x**2 - 14*x + 7. Let c(d) = -23*d**2 - 11*d + 6. Give -6*c(q) + 5*g(q).\nAnswer: 23*q**2 - 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1077*j + 6 + 0 - 6.\nAnswer: -1077*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1863628, -1863192, -1862758, -1862326, -1861896?\n\"Answer: -t**2 + 439*t - 1864066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537 = -0*u - u + n, -3*n = -u + 535. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -270*a**3*s**4 + 4*a**3*s**2 + 102*s**2 wrt s.\nAnswer: -6480*a**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 16) to base 13.\nAnswer: -1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41599\/7 - 306\/(-1071)?\nAnswer: 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000067782 to six decimal places.\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**2 - 86*h - 22.\nAnswer: 2*(h - 11)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 87*o + 53. Let y(q) = 43*q + 26. Let i(z) = 6*m(z) - 13*y(z). Let d be i(-9). Suppose -527 = -5*j + d. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -2. Let t = -30 + 28. Let y be -6*((-15)\/6 - t). Sort c, -3, y in decreasing order.\nAnswer: y, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + r**2 + 5*r - 6. Let m be d(6). Let o = m + -118. List the prime factors of o.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**4\/16 - 7*x**3\/12 + 5*x**2\/8 + 2*x + 34. Factor w(m).\nAnswer: -(m + 5)*(3*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((1\/1)\/(-1)). Suppose -3*q - 2*q = -20. Let u(t) be the first derivative of t**2\/2 + 2*t - 1469. Let s(b) = -b - 1. What is d*u(f) + q*s(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2198\/39 + -16598\/273. Let a = d - -54\/13. Are 0.06 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 + 14\/8. Suppose 0 = -0*s + 4*s - 24. Let d = 2 - s. Sort y, d, -3.\nAnswer: d, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 1 - 14 = -19*l, -2*l = -6*k + 4*k - 3*k - 65 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -2. Let d(z) = -2 - 3*z - 1 + 10 + 2 + 0. Let t(p) = -2*p + 4. What is l*t(i) - 2*d(i)?\nAnswer: -4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -518 divided by 518\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*q - 4 = 30, 2*b + 3*q = 16. Suppose -6*p - 110 = -7*p - 3*t, -306 = -3*p + 3*t. Let c = p + b. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 2*n**3\/3 + n**2 - 5. Determine f so that g(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.278, 5, -1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = c + 88, -5*c - 5*i = 530 - 75. Let n = 29 - c. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2150, 1520, 470, -1000, -2890, -5200, -7930?\n\"Answer: -210*q**2 + 2360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 1466*d - 152896. Calculate v(-113).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 1028 - 488 - 492 = 0 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + 16*a - 96. What is the tens digit of m(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 27. Suppose 0*i - 10 = -2*i, 5*i - 31 = -3*j. Suppose 5*d = c*o - 21, o - 1 = 2*d + j. What is the smallest common multiple of 6 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 13. Let u be (2\/b)\/(8\/156). Solve d + u = -j + 5, 5*d = 4*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + y - 0*y - 42, 4*y = 8. Let w be 8\/v + (-36)\/(-15). Solve -18 + w = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (24848\/(-272))\/((-8)\/136)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 56, 57, 30, -31?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 947 and 86018851?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.136, -4, 3\/4?\nAnswer: -0.136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 53 = 3*t, -3*t + 8*k + 8 = 3*k. Find the third derivative of 4*n**2 + 4*n**5 - t*n + 11*n wrt n.\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3851439059.\nAnswer: 13, 296264543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20788211 divided by -6?\nAnswer: -20788211\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - f - 2*f + 70 = 0, 4*o - 124 = 2*f. Suppose -1 = x - 5*l, -2*l = -l + 5. Let d = x + o. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -3, 4, -210 in ascending order.\nAnswer: -210, -62, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7021 and 0.1.\nAnswer: -702.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*b - 3*w, -b - 17 = -44*w + 46*w for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/33*(-99)\/72. Which is the biggest value? (a) 0.1 (b) s (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4448, 4417, 4388, 4355, 4312, 4253, 4172, 4063?\n\"Answer: -n**3 + 7*n**2 - 45*n + 4487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*(v*v**(-5\/2)*v)\/v*v)\/v)\/v)\/v**(-3\/5))**(4\/19)\/((((v\/v**(-3)*v)\/v)\/v)\/(v**(-5\/3)*v*v*v)*(v\/v**1)**(-3\/16)) assuming v is positive.\nAnswer: v**(-529\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*b + 1936 = 464*b - 1888 - 1591 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44868 and 29544.\nAnswer: 110465016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.06 (b) -1\/2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - (-3 - -4)) + 51. Suppose 2*v + 0*t = 3*t + o, 5*v - 157 = 2*t. What is the highest common divisor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -62. Solve -r = -0*x - x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(4\/(-3 - 1)). Suppose -4*h - 7 = -3. Let s = 0 + -2. Sort h, j, s.\nAnswer: s, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3098 in 1\/2, -2\/9, -1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -417*y**3 + 3*y**2 + 2*y - 2. Let p(i) = 1250*i**3 - 8*i**2 - 6*i + 5. Let k(m) = -3*p(m) - 8*q(m). Is k(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*d - 27810 = 0, -69*h + 2*d = -67*h - 13908. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 138 = 5*s - 655, 0 = -3*h - 6. Calculate the remainder when s is divided by 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6575*a**3*k**2 - 5*a**3*k + a**3 - 126*a**2*k**2 + 430*a**2 + 22*a*k wrt k.\nAnswer: 13150*a**3 - 252*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/853 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, b: 5, x: 2, p: 2, w: 6}. What is prob of picking 2 p and 1 x?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67575303.\nAnswer: 3, 127, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 25 = -4*x, 30*x - 29*x - 5*c = -11. Find the third derivative of p + 58*p**2 + p**4 - 9*p**x + 7*p**4 + p**4 + 221*p**5 wrt p.\nAnswer: 13260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-80)\/6 + (-8)\/(-6) + -2. Which is greater: -10 or s?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 364, 2826, 9496, 22474, 43860, 75754?\nAnswer: 120256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2204629, 5, 1\/6, -2, -5\/4 in descending order.\nAnswer: 5, 1\/6, 2\/2204629, -5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -12. Let v be (90\/(-35))\/(6\/(-112)). Suppose -4*p + v = -2*p. Calculate the highest common divisor of p and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-39)\/9)\/(1\/(-6)). Let b = c + -3. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*c - 280 = -22*i, 3*i + 9*c - 18 + 3 = 51 + 6 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11103727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -31*p**3 - 4*p - 1. Let b(z) = 68*z**3 - z**2 + 8*z + 2. Let n(k) = 6*b(k) + 13*j(k). Calculate n(3).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866450613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -509*r - 377*r + 350*r to u + m*r and give m.\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -863\/4 + 215. Put h, 0.055, 0 in descending order.\nAnswer: 0.055, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30095, 240724, 812411, 1925678, 3761047, 6499040?\n\"Answer: 30087*l**3 + 7*l**2 - l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43298.23 minutes in milliseconds?\nAnswer: 2597893800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppzc when four letters picked without replacement from zcpcpcczpccc?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqrrrqrrr. What is prob of sequence qrrr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6745 is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5259 = -5*j + v - 5678, 0 = 4*j - 5*v + 8758. Are -2187 and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*a + 9, 57*k - 5*a = 62*k + 35 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 885\/276377?\nAnswer: 885\/276377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -337 - -351. Calculate the greatest common factor of 6 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Suppose -4*z - 1 = 3*f - 21, 0 = s*z - 5*f + 14. Let y be -3 + (z - (0 + 0)). Is -3\/14 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -2*r + 0*r**5 + 0*r**6 + 175 - 47\/21*r**7 + 1\/3*r**3 + 0*r**4 - 81\/2*r**2. Find the second derivative of p(f) wrt f.\nAnswer: -1880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 48. Let g(t) = -9*t. Give g(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 73. Let n = 26.9978 - c. Round n to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.62 or -0.771?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1500953849?\nAnswer: 19, 23, 3434677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j = -12. Let b be ((-2)\/(-6))\/(j\/18). Let m be (-150)\/(-21) - 2\/14. Solve m = -4*l - b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x + 91. Let l be s(21). Differentiate 86 - 9*j**2 - 21*j**2 + l*j**2 + 88*j with respect to j.\nAnswer: -4*j + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*t**2 + 21*t**2 - 11*t**2)*(21 - 5 - 13 + 30 + 25) as h + z*t + w*t**2 and give w.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5055 (base 16) to base 10.\nAnswer: -20565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 166693, 333213, 499733, 666253, 832773?\n\"Answer: 166520*k + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886 (base 9) to base 14.\nAnswer: 39c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 + 3 = 0. Let j = 179 - 169. What is the remainder when j is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -667805?\nAnswer: 667804.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 9:46 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4137, 5822, 7519, 9228?\nAnswer: 10949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4576\/(-40)*(-5)\/2. Is 284 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**6\/6 - 67*w**5\/10 + 3289*w**4\/60 + 536*w**3 + 1440*w**2 + 2*w + 100. Factor k(x).\nAnswer: (x - 15)**2*(5*x + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 29296485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 3463\/6 + 13\/26. Let n = o - 603. What is the common denominator of n and -21\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819719 is divided by 3375.\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-176)\/(-91)*(-8813)\/(-5036). Factor -64\/13*h + 64\/13 - 6\/13*h**3 - o*h**2.\nAnswer: -2*(h + 4)**2*(3*h - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 20. Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 7217?\nAnswer: -2\/7217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 787924 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -0.1, 0.5, -14 in increasing order.\nAnswer: -14, -1\/8, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 - 12 = 0. Suppose -3*k = 2*g - 5*k - 84, -5*k - 58 = -g. Suppose z + w = g. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -3 (c) -136702.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3720999?\nAnswer: 3, 1240333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15814868, -15814848, -15814828, -15814808?\nAnswer: -15814788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + 197*i**2 - 202*i - 6. Let k(h) = 10*h**3 + 986*h**2 - 1010*h - 28. Let c(n) = 6*k(n) - 28*p(n). Factor c(q).\nAnswer: 4*q*(q - 1)*(q + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -598359, -1196824, -1795289, -2393754?\nAnswer: -2992219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59559490*o**3*w + 194*o*w - 102313*o wrt o.\nAnswer: -357356940*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 172960?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -25. Let b be 1 + (n + 3)*(-3 + 480004). What is b rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 12:09 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 884 and 91052.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 264744?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Suppose -t*x + p = 2*p - 63, -x + 17 = -2*p. Suppose x = 4*y - 7. Which is the third smallest value? (a) y (b) 0.4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2399 from -2.4.\nAnswer: -2401.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + r**2 + 4*r**2)*(r + 0 + 0) - 7*r**3 + 0*r + 0*r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -34*z**3 - 998*z**2 + 14*z - 2812. Let f(d) = 12*d**3 + 333*d**2 - 5*d + 937. Let y(v) = -14*f(v) - 5*s(v). Differentiate y(k) with respect to k.\nAnswer: 6*k**2 + 656*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5598 + -44881\/8. Calculate the common denominator of l and -53\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64799990 to the nearest integer?\nAnswer: 8050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5\/4 + 72*q**4 + 1863*q**3\/2 + 4293*q**2 + 34749*q\/4 + 6561 = 0. What is q?\nAnswer: -3, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 8*m + 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33075 is divided by 5485.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/3*(-18)\/24. Suppose 335 + 643 = 3*r. Suppose x*y = 239 + r. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/(-8))\/(15\/(-84)). What is the derivative of -55*y**2 - k*y**2 - 106 - 18 - 87*y**2 wrt y?\nAnswer: -312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 0 - 287\/65. Let t = -8\/13 - z. Put 0.2, t, -1\/6, 3 in ascending order.\nAnswer: -1\/6, 0.2, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 163*q**3*z - 550*q**3 + 10*z wrt z?\nAnswer: 163*q**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*o + 40, 0*g = g - 3*o - 32. What is the remainder when g is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44211032*u*z**3 - 44105705*z**3 with respect to u.\nAnswer: -44211032*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 + 33*o**2 + 19*o - 17. Determine v(-9).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.55437 + 0.49463. Let m = b - -4.211. Round m to 0 decimal places.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1439826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013158743 rounded to six dps?\nAnswer: -0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*r - 133*r - 5 = 14*f + 6, 0 = -f - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-3)\/((-117)\/(-3))). Let u = -1 + v. What is the units digit of (u\/(-4))\/(1\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1271471\/330 - 11557\/3. What is the common denominator of -71\/264 and x?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 5*c + 2*c)*(c**3 + 0*c**3 + 2*c**3 + (0*c**2 - c**2 - c**2)*(3*c - 2*c - 3*c)).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 - -202. Which is the closest to 2\/7? (a) 2 (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*r + 10*r + 3*r)*(8*r - 26*r - 16*r).\nAnswer: -1020*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.3 (b) -5 (c) 2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -49. Let p(o) = -3*o + 9. Let x be p(q). Find j, given that x*j + 11 - 5*j**2 - 51 + 33*j - 24*j = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 2328480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/2, 4, -2\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -23*p**2 + 18*p + 3. Let y be l(-12). Suppose -7*j + y - 129 = 0. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/165)\/((-4)\/(-10)). What is the closest to 0 in 0.2, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 8:57 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 5. Let o be j(8). Let i(k) = 3*k**3 + 5*k - 8. Let r be i(3). Let q be r\/33 - 2\/o. Solve 0 = b - 0*b + 4*w - 17, -q*w - 2 = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1613 - -5?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f + 0 - f**3 - 13*f - 9*f**2 - 1. Let n be g(-8). Let s = 38 + n. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 6*m**2 - 8*m - 4. Let x be d(-7). Suppose 0 = -x*w + 2 + 13. Let i be (2 - -1 - 3)\/(-2). Solve -f - 2 = -3*r + 5, r - f - w = i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5252 and 133276.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3988.\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 146107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzyz when four letters picked without replacement from {y: 3, z: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10122\/(-16) - (-7)\/56*-3. Let l = -249 - v. Calculate the highest common factor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-6) - (-18284)\/168. Suppose 0 = 20*n + 9 - i. Solve -22*o + 17*o = -n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/108)\/((-4)\/(-24))*1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.29 - -0.19. Which is the closest to 5\/2? (a) r (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*b + 198*b + 35*b**3 - 67*b**3 + 36*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56856*v + 66836 = -61630*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*(((q*q\/(q**(-2\/9)\/q)*q)\/q)\/q)\/q)\/(q\/((q\/(q\/q**(-1\/3)))\/q))**40*(q**(-1\/4)\/q**(-8))\/(q\/q**2*q)**50 assuming q is positive.\nAnswer: q**(-3145\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4 = 2*c + 13, 0 = 4*c + 4. Let l(f) be the first derivative of -5 - 4*f**2 - 3*f**z + 0*f**3 - 3 + 3*f**2. Let x(a) = -2*a**2. Determine l(x(b)).\nAnswer: -36*b**4 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*2*7\/(-14). Solve -4*y = y - x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(297) - sqrt(297))\/sqrt(9) + sqrt(33))\/(sqrt(220)\/sqrt(5)) + 6*(1 + sqrt(27) + (sqrt(18)*-2)\/sqrt(6)).\nAnswer: 6 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(20) - (2*sqrt(20)*-2)**2))*-2.\nAnswer: -4*sqrt(5) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 750508337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/120 - 7*x**5\/60 + 7*x**2. Find the third derivative of v(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-2\/15)\/(j*j**(-8)*j*j**2)*(j**(-1)*j*j)**(-3\/14)\/(j**1\/j**5) assuming j is positive.\nAnswer: j**(1663\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)\/(sqrt(32) + sqrt(8)) - sqrt(34) - 6*sqrt(34)*1)\/(-6*(sqrt(18) - sqrt(1458)*-1)).\nAnswer: sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-35273)\/(-5040) - 7). Suppose -9*q + 12*q = -5*a + u, -5*q = -4*a - 2437. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 - (-32)\/30. Let p = 1923\/1274 - 6\/637. What is the second biggest value in -4, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + r - 1. Let j(a) = -8*a**2 + 7*a + 4. Calculate -3*g(z) - j(z).\nAnswer: 5*z**2 - 10*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, 1\/3, -0.5, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6167\/9 - -2836\/9. Let m = -1021 + x. Find the common denominator of 33 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2429 divided by -4\nAnswer: 2429\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-56))\/(15\/(-2))*(-2)\/(-11).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58135953.\nAnswer: 3, 19, 383, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 2*g. Solve g*h = l + 7, 2*h + 0*l = -3*l + 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9*(-14 + 441\/27). Solve 0 = 4*f + 10*d - 11*d - q, -4*f = 2*d - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1957.022 centuries?\nAnswer: 19570.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 20957*h**2 + 15 + h**3 + 20943*h**2 - 10*h. Let p be n(-13). Sort 0.1, p, -4, 0.4.\nAnswer: p, -4, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 2:04 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-47*17\/(-5593)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489770883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*(0 + 14\/7). Suppose -v + 262 = 5*h, 0 = a*v - h - h - 752. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 143*h**3 - 267*h**3 + 1017*h + 0.\nAnswer: -410*h**3 + 1017*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 3 - 3)*(-32 + 4 - 4) + (51 - 16 + 21)*(4 + 4 - 6))*(m - m - m) in the form u*m + l and give u.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*u - 2*u - 35, 3*u = 0. Solve 4*o - 2*o + g = -w, -w - 6 = o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + 0 + (18 - 9 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g = -21*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26316 and 30702.\nAnswer: 184212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 1, -1, -45 in decreasing order.\nAnswer: 40, 1, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (94\/940)\/(4\/16)*230\/4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -4*q + 5*m, 2*q - 14*m + 13*m + 15 = 0. Let r = 5.4 + -3.3. Let l = r + -0.1. Which is the third smallest value? (a) 0.5 (b) q (c) -0.1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/15 (b) -4 (c) -22 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 18*x + 7*x**3 - 45*x + 17*x + 2*x**2. Let s(t) = 15*t**3 + 4*t**2 - 21*t. Let j(m) = -13*q(m) + 6*s(m). Calculate j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(242)*1)**2 + 2 + -6*(sqrt(242) - sqrt(242)*-2)*1*5 + -1.\nAnswer: -990*sqrt(2) + 1453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1308 and -23\/21?\nAnswer: 9156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 1, j: 1, k: 1, b: 1}. What is prob of sequence pb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 881163541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -4240, 4477 in increasing order.\nAnswer: -4240, -5, 1, 4477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*r + 1)*(-1 + 4 - 1)*(7 + 7 + 9)*(-150*r**2 + 147*r**2 - 109*r**2).\nAnswer: 10304*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -62. Let w be (4\/(-9))\/(-9 - -10). Which is the closest to -2\/7? (a) m (b) w (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 323*i**7\/210 + i**6\/60 + 148*i**4\/3 - 9*i**2 - 16. What is the second derivative of p(z) wrt z?\nAnswer: 3876*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 7:35 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -12*v**2 + 9*v + 10. Suppose -4*y + 52 = -4*l, 7 = 4*y + 27. Let p(c) = -c**2 + c + 1. Determine l*p(q) + 2*n(q).\nAnswer: -6*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -37, -49, -67?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6))**(2\/79) assuming q is positive.\nAnswer: q**(-12\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Suppose -t - 2 = -b*u + 26, -3*t + 16 = u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:02 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7461035 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/9400 and -169\/90.\nAnswer: 84600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 3*k**3 - 2 + 3 + 2 + 2*k**4 to the form a*k**4 + m*k**2 + p*k + r + c*k**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1040 and 2028624?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34344 and 379480.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -2. Solve -v*d + 8 = 20 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 y when four letters picked without replacement from wjwxyyyyy.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19992 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-72) - 34\/(-9). Suppose -1 = -y*r - 5. Let p be (r\/(-7))\/((-3)\/(-12)). Is p less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 542\/(-1*(-2)\/8). Let x be (-2166)\/o + (-4 - -5). Let b = -4609\/2168 + x. Find the common denominator of 115\/6 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 35. Let n be ((-10)\/8)\/((-6)\/p). Let c(b) = -5*b**2 - 8*b + 8. Let o(h) = -3*h**2 - 5*h + 5. What is n*c(f) - 8*o(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v, 7*v = 2*j + 3*v - 10. Solve 2*u + j = 3*k, -3*k + 4*u + 9 = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 - 1. Let n = u - -4.6. Let y be 1\/91 + (-1)\/(-7). Which is the second biggest value? (a) 4 (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -69. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117cda (base 14) to base 15.\nAnswer: -bc2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8551981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 - -84. Suppose 2*y + 6 = -0*y. Put g, 3, y in increasing order.\nAnswer: y, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9130.934 grams?\nAnswer: 0.009130934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.041 - 17.\nAnswer: -17.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 4*a - 4*a - 1. What is the units digit of h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 4\/3 (c) -209 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8648 divided by 2162\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**2 + 1002*x - 58275 = 0?\nAnswer: 75, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 3. Let c(o) = 4*o + 7. Let v(w) = -3*c(w) + 7*m(w). Let a(t) = -228*t. What is v(a(r))?\nAnswer: -456*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1012002111 (base 3) to base 2\nAnswer: 101101101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 356 (b) 1\/10 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 231317 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7761*f**2*x**3 - 87*f**2*x - 4*f**2 + f + 4100267*x**3 + 4*x**2 wrt f?\nAnswer: -15522*x**3 - 174*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002322833889 to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 1 = -0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9643.88 - -9644. Which is smaller: -102 or z?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793 is divided by 588?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*s - 11*s - 697 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 813, 804, 791, 774?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -506012 - -1636345. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + 1 + sqrt(17)).\nAnswer: -6 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -816, -3306, -7452, -13248, -20688, -29766?\n\"Answer: c**3 - 834*c**2 + 5*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, y: 1, s: 2, x: 6}. Give prob of picking 2 x and 1 s.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -567976318385.94.\nAnswer: 567976318386.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + -56?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14 - -9) + 262\/35. Let g = 16\/7 - j. What is the nearest to 1 in g, -1\/3, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11656 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -0.02, -11, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 127303.\nAnswer: -3\/127303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 138118\/6155 = 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 462580907 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 418*s**2 - 77*s + 77. Let w(f) = 27*f**2 - 5*f + 5. What is 5*u(b) - 77*w(b)?\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5153, 7481, 6981, 3653, -2503?\n\"Answer: -1414*f**2 + 6570*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14596)\/267)\/(-164)*117?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13\/((-143)\/15323)*2\/(-14) is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14749763 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 16*b**2. Let t(l) = 8512*l**2. Give t(k(c)).\nAnswer: 2179072*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Let g = 0 + r. Let q = -0.0433 - -4.0433. Which is the nearest to g? (a) 1\/9 (b) 5\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**4 + 314529*v**3 - 1572628*v**2 + 2516196*v - 1258096 = 0?\nAnswer: 1, 2, 314524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c = -31100. Suppose -c = -4*t + 616. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (0 - -1 - (-38 - -33))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from {l: 4, w: 1, h: 1, g: 7}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0 - 50 = 0. Is 1*((-768)\/(-20) - (-6)\/q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (5 + sqrt(128)*1))**2 + sqrt(50)*1 + 3 + sqrt(50).\nAnswer: 10*sqrt(2) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*h + 5*h, o - 3*h + 11 = 0. Let q be 3\/o*(-2)\/3. Let a be 2 + -3 + 2 + q. Solve 0*n + 5 = a*b + n, 3*b + 4*n = 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 - 806\/(-78).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3758 = -31*j + 4316 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -40*c**3 + 790956*c**2 + 99574096*c + 9949500 = 0.\nAnswer: -125, -1\/10, 19899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v + 13*v - 26*v - g - 2, 0 = -4*v - 2*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-1 - (-5 + 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550.128 rounded to the nearest ten?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -719873802 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 3*x + 1. Let i be ((-30)\/(-1))\/(-3)*1. Let z = i - -6. Give s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -9. Suppose 0*f - 6 = -2*f - 2*d, 4*f - 4*d = s. Calculate the greatest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**3 - 8597. Let n(v) = -4 + 4 + 3*v. Determine m(n(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2091595441 to the nearest integer?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03579679 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*f**2 - 2\/5*f**4 + 0 - 2\/5*f**3 + 2\/5*f.\nAnswer: -2*f*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 304 = 2*z, 0 = 4*x + 7 + 9. Let l = 2602 - 2580. What is the highest common divisor of z and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) - (-1)\/2. Let c be p + (-3)\/1 - 0. Is -13\/3 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-6)\/(-48)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 6 = 0, -104*y + 101*y + 5*l - 4 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -239 + 249. What is the remainder when 18 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996 < 1995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125 - -226. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -5*i**6\/12 - i**4\/24 + 55*i**2 - 10*i. Give j(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*x - 12, 12*x - 14 = 14*x + 2*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = c + 6, 4*c - d = -34. Let f be (c\/(-6))\/((-1)\/(-18)). Suppose -5*l = -5*w - 25 + 135, f = -l + 2*w. What is l rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_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 remainder when 20616 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 121? (a) -3 (b) -187924 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - m - 1. Let b(s) = 10*s**2 + 5*s + 5. Let i(o) = b(o) + 5*t(o). Suppose 10 - 2 = 4*h. Let k(p) = 2*p + 3 - h - 1. Calculate k(i(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -347, -4386, -15407, -36902, -72363, -125282, -199151, -297462?\n\"Answer: -582*k**3 + k**2 + 32*k + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 2*y**6 - y**3\/3 - 38*y**2 + 2*y - 4. Find the first derivative of f(d) wrt d.\nAnswer: 240*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-234)*(-1890)\/(-420)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6173.\nAnswer: 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 2918 - 2914 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x - 385 + 385.\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6372443.248 to the nearest one hundred thousand.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150.2 - 138. Let j = -12.6 + x. Which is the third smallest value? (a) 1\/5 (b) j (c) -2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0*o - 77\/24*o**4 + 0*o**3 + 0 - 128*o**2 + 1\/30*o**7 + 0*o**6 + 1\/6*o**5. Find the second derivative of w(l) wrt l.\nAnswer: 84*l**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**5\/6 + 95*u**4\/3 + 67349*u**3\/6 + 22161*u**2 - 55992*u - 66960 = 0.\nAnswer: -180, -3, -1, 2, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(300))**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 76\/190*(-15)\/6. Is y less than or equal to -22\/2733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.8 + -6.9?\nAnswer: -45.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/5, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 7:59 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13896867 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2\/5*r**2 + 0 - 6\/5*r = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2346791 != -2346807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + k**2 + 3*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 15, 5*l + 54 = 5*r + 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 441 + -440.717. Let h = y - -0.017. Which is the second smallest value? (a) -2 (b) -2\/3 (c) 0.2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 5\/3, 0.2, -3, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -2. Let o = -387.934 - -388.234. What is the closest to 0 in 3\/5, p, o, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44.4 + -30. Let w = s + -12. Let m = 1.82 - w. Round m to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 u, and 1 m when three letters picked without replacement from ffeurum?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*k**4 - 12*k**3 + 3*k**2 - 5*k wrt k.\nAnswer: 312*k - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 1 - (0 - 0) - -3. List the prime factors of (-164 + 4)\/z - -1.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**0*z*z*z**(1\/4))\/((((z*z*z**(-3))\/z)\/z)\/z*z**(2\/7)))\/((z*z**(-1\/7))\/(z*z*z\/(z**(-2\/3)\/z)))**(-50) assuming z is positive.\nAnswer: z**(-15415\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -32957832 and 1.861?\nAnswer: 32957833.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622384746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-2)\/12*(-14)\/63?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72931760 divided by 2.\nAnswer: 36465880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 127*n - 3. Let t(r) = -4*r. Calculate 4*t(l) - z(l).\nAnswer: -143*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38683, 37798, 35399, 30730, 23035?\nAnswer: 11558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*u + 946, -4 = -3*s - 1. Let x = u + -484. Let w(i) = -i**3 - 10*i**2 - 10*i - 16. Calculate w(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (300\/550)\/((-75)\/(-22))*(-2)\/8\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/12*(-4 + 175\/40). What is the biggest value in 3\/5, -2\/9, -4, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 831464157 to the nearest integer?\nAnswer: 28835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*y + 339 - 304 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.1, -1, 4, -0.04, 1\/165, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from {e: 1, g: 4, z: 2, q: 7}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 5. What is n(14)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*w + 9*w - 117*w - 19*w**2 - 582*w + 2.\nAnswer: -19*w**2 - 397*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4 - (2 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 186, 402, 694, 1056, 1482, 1966?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32371 is divided by 16168.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 302, 1889, 6246, 14777, 28886, 49977?\nAnswer: 79454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 778 = 11*x. Suppose 5 = -x*h + 390*h. Solve h*s - 30 = -2*g, -3*g = -s - 4*s + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -4*(5 + -2 + -3 + sqrt(1584) + -2))*2*3)**2.\nAnswer: -24192*sqrt(11) + 914148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuna when four letters picked without replacement from kllcnlcunnnnlaknn?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 4\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297) + sqrt(297) + -1*(2*sqrt(297) - sqrt(297)) + sqrt(297) + sqrt(297) + sqrt(297)*2*-4 + sqrt(297))\/(6*-1*sqrt(539))*-5.\nAnswer: -10*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 44*h + 3080. Let m be o(-70). Let t(i) be the second derivative of m + 4\/9*i**3 + 1\/18*i**4 + 2*i + 4\/3*i**2. Suppose t(q) = 0. Calculate q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6244061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/12)\/((-12)\/(-27)) + 4. Let l be (3 + 4 - 1)\/1. Let y be -2 + l + (-4)\/1. Which is the nearest to y? (a) 2 (b) k (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - m - 1. Let k(n) = 2*n**2 + 16*n + 17. Let l(v) = k(v) + s(v). Let z be l(-14). Factor -2\/5*j**z - 1\/5*j**3 + 2\/5 + 1\/5*j.\nAnswer: -(j - 1)*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1864 divided by -466?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h + 23*h - 91*h + 27*h + 26*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 6) in base 16?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 151 = -19. Suppose 1 = -7*z - f. Let r be -1*6\/(-2) - (z + 5). Solve -4*i = -r*m - 9*i - 5, 0 = -5*m + 3*i + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 9*o**2 - o - 12. Let n be x(-9). Let y(c) = -c + 1 + 4 - 4. What are the prime factors of y(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 - 24*t**3 + 2*t**2 + 264*t = 0. What is t?\nAnswer: -11, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8992\/9 + -998. Calculate the common denominator of (4\/6)\/(-6 - 2056\/(-360)) and y.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**2 + 39*x**2 - 13*x**2 - 9*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -9 (c) -4\/7 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 - 9)\/((-4)\/6) - -358. Let d = h - 174. Calculate the remainder when d is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -80*z**3 - 12*z + 2. Let f(m) = -32*m**3 - 5*m + 1. Let x(i) = 12*f(i) - 5*p(i). Find the first derivative of x(u) wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(112)*-1)*-3)**2 - 6*sqrt(112)*3*2.\nAnswer: 144*sqrt(7) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*y - 16 = 0, -4*y = -3*f - 4 - 0. Suppose -2*u - 1 = j - 4, -f*j - 12 = 0. Suppose u*r - r - 2*b - 386 = 0, 0 = -r - 2*b + 187. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96693, 96692, 96691, 96690?\nAnswer: 96689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37278487.\nAnswer: 1759, 21193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.3944.\nAnswer: -0.3944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from kvckkckck?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165349.1t to grams.\nAnswer: 165349100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/12)\/((-2)\/18). Let j be (q\/(-6))\/((-1)\/6). What is the units digit of (-1)\/((j\/(-7))\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 + k - 4. Let g be (-2 - 0)\/(1 + -3). Let m be g\/(2*3\/(-12)). Let w = m + 7. Let c(l) = 2*l**2 + l - 3. What is w*n(i) - 7*c(i)?\nAnswer: i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o - 6 = 0. Solve -4*p - o = 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 451 + -414. What is the remainder when 43 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**3 - 216*a**2 + 40*a + 159. Calculate d(-31).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 160\/25 + 3\/5. Suppose -b*f + 25 = -2*f. Solve f*d + 9 = -1, -u + 2*d = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 1149243900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-92)\/15 - (-4)\/30. Let v = -4 - p. Suppose 0 = 11*f - 24 - 20. Sort f, v, -4 in descending order.\nAnswer: f, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2303291.4ns?\nAnswer: 0.00003838819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**4 + 105*y**3 + 905*y**2 + 2055*y + 1260 = 0.\nAnswer: -3, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 918?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 - 5*c - 5. Let v = -15 + 20. Suppose 2*f = y + v, -y + 3*f - 12 = 2*y. What is the tens digit of o(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 27 = -3*l. Let q be (-4)\/(l\/(36\/(-8))). Solve 0 = 5*u + 23 + q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161\/15 + -32\/3. Let x = -0.266 - -0.466. Let p = 0.36 + -0.06. Sort p, x, q in increasing order.\nAnswer: q, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + b**2 - 4*b - 2. Let t = -9 + 7. Let q be d(t). What is the second derivative of -5*s**2 + 5*s**q + 12*s**2 - 13*s wrt s?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6865142 divided by 42?\nAnswer: 3432571\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106953*p**3 + 2120*p**2 + p + 9?\nAnswer: -641718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51310113 (base 6) to base 15.\nAnswer: -1e0cc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 2\/11 (b) -2\/5 (c) -338 (d) -1 (e) 5 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 22.955. Let n = 0.155 - u. Let v = 0.283 - n. What is v rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/5324133 and 62\/3.\nAnswer: 5324133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-2 - -8)) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73 and 3.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -232, -442, -684, -928, -1144, -1302, -1372?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 22468*k**2 - 63325458*k + 1257537960.\nAnswer: -2*(k - 5607)**2*(k - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + v. Let r(q) = 3*q**3 - 3*q**2 - 6*q + 6. Let f be r(2). Let m(s) = 5*s**3 - 4*s**2 - 6*s + 1. Calculate f*i(p) + m(p).\nAnswer: -p**3 - 4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**4*n\/(n*n**3)*(n*n*n**(2\/3)*n)**(-4\/11)*(n\/(n*n*n*(n\/n**0)\/n))**(10\/3)*n*n\/n**(-2\/3)*n**(2\/11) assuming n is positive.\nAnswer: n**(-137\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(12\/(-1)*(-24)\/(-16)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -3, 2, 0, 3 in decreasing order.\nAnswer: 3, 2, 0, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 0*y**3 + 9*y + 0*y**6 + 0*y**7 + 0*y**2 + 0*y**5 + 0 - 1\/2*y**4 - 3\/7*y**8. What is the third derivative of l(r) wrt r?\nAnswer: -2880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2. Let n(b) be the third derivative of 0 - 55*b**2 - 1\/2*b**4 + 1\/3*b**3 + 0*b. Calculate n(c(p)).\nAnswer: -36*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6b1 - -3?\nAnswer: -6ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 43 + 14 = 0. Solve -5*c = -k - 6, 4*c - 24 = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -1556*n + 1515*n. What is the highest common divisor of n and 349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**8\/1680 + q**5\/40 - q**3 + 4*q. Let i(z) be the second derivative of h(z). Find the second derivative of i(u) wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/436 and 81\/10?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*3 - sqrt(208))**2 + 1 + sqrt(208) + sqrt(208) + (sqrt(208) + -3 - sqrt(208)) + -4)*-3.\nAnswer: -2478 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 1)\/4*6. Solve -g*a = -7*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - (-38 + -2)) + (2 - -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, z: 1, j: 11}. Give prob of sequence ooo.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1242 (base 5) to base 16.\nAnswer: c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 23*k**2 - 113*k - 3. Let r(w) = -w. Calculate r(l(n)).\nAnswer: -23*n**2 + 113*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + d - 2, -4*o + 2*d + 1 = -5. Let z be (-5 + 4)\/(o\/(-1)). List the prime factors of (2 - 1)\/(z\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74897 - -74899. Factor -1\/3*a**u + 0 - 11\/3*a.\nAnswer: -a*(a + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-23 + 8 + 11 - 29*b).\nAnswer: -58*b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1525780 or 1525781?\nAnswer: 1525781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**3 + 5*j + 5. Let y(o) = 3*o**3 + 2*o + 2. Suppose 0 = 3*x - 3*t + 9, -2*x - t - 17 + 5 = 0. Give x*y(d) + 2*b(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16976216 less than 16976212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172580405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1001000001010100 (base 2) to base 14\nAnswer: -d672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1292 and 91\/3344?\nAnswer: 56848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1138594526 rounded to 5 dps?\nAnswer: -0.11386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*f**4 - 432*f**2 + 33028 wrt f.\nAnswer: 32*f**3 - 864*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssqqssqsqs. Give prob of sequence qss.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 512, 193 in increasing order.\nAnswer: 37, 193, 512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17050 = -635*v - 12160 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*t + 5 = 0, l - 3*t + 296 = 314 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 519919.8 + -519920. Let u = 0.09 + -7.09. Let f = -11 - u. Which is the second smallest value? (a) 2\/13 (b) z (c) f (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d. Let k(b) = 450*b**2 - 2*b. Give g(k(u)).\nAnswer: 1800*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/9 - 4*m**3\/9 - 32*m**2\/3 - 28*m - 18 = 0.\nAnswer: -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 600 times -3209\nAnswer: -1925400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 902 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**2*w**2 + 4*q**2*w + 2*q**2 + 240*q*w**2 + 60*q*w + 5*w**2 wrt w?\nAnswer: -2*q**2 + 480*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**5 + 3588*h**4 - 784652*h**3 - 8942084*h**2 - 28765440*h - 20611600 = 0.\nAnswer: -5, -1, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13931161214994 + -0.5.\nAnswer: -13931161214994.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 101239 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354745, -709513, -1064281, -1419049, -1773817, -2128585?\nAnswer: -2483353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(-5)*m)\/m*m)\/m*m**(-14)\/m*m*(m*m**8)\/m*m*m*(m\/(m*m**9*m*m))\/m*m assuming m is positive.\nAnswer: m**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2482484 divided by -4.\nAnswer: -620621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20271*i = -20256*i + 210 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262961364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340 (base 5) to base 7.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 539 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 - 60 + 80 + 108)*(7 - v + 5 - 9)*(0*v - 2*v + 0*v).\nAnswer: 420*v**2 - 1260*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than -671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1059, -1134, -1251, -1404, -1587, -1794, -2019, -2256?\n\"Answer: y**3 - 27*y**2 - y - 1032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*372.\nAnswer: -111.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*v = -128162 + 124774 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*b**2 + 10*b**2 + 11*b**2 + 17*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**7\/42 + v**5\/10 - v**3\/6 - 6*v + 2. Find c such that f(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 78 = -3*y + 70, -4*u = 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) - (sqrt(832) + (sqrt(832) + sqrt(832) + (sqrt(832) - (1 + sqrt(832)*-3)))**2) - ((sqrt(832) + -4 + sqrt(832))*4)**2.\nAnswer: -83457 + 2144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16928\/24 - 2\/(-3). Suppose 4*f - n + 46 = s, 2*f - 330 = 3*n. What is the highest common divisor of f and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -2\/246047?\nAnswer: -2\/246047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 4*y**2 - 2*y. Let s = -1 - -3. Let k be x(s). Let n = 95 + -95.2. Which is the nearest to k? (a) -5 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.80921 and -63.\nAnswer: -428.98023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -539233.07?\nAnswer: 539230.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51766050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3671 = 4*d - 93. List the prime factors of d.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/3388 and -19\/2849.\nAnswer: 125356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 326618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 33*q - 18 + 10 + (-4*q + 4*q - 5*q)*(-1 - 3 + 3) - 3 + 13*q - 10*q - 7*q as m + z*q and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-18)\/189 + (-36)\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k**3 + 7*k**2 - 1 - 3 + 1 - 9*k**3 - 2*k. Let o be d(6). Sort 3, 0, o in decreasing order.\nAnswer: o, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.185 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -2922?\nAnswer: 2918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + 2*j - 1. Let n be q(1). Let v = -3 - n. Let u(l) = l**3 + 8*l**2 + 7*l + 6. What are the prime factors of u(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + 72. Calculate the greatest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 148 = -4*o + 131, 2*o = -4*u + 112. Let x be (-18)\/(-27) + (-56)\/o. What is the smallest value in x, 0.3, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + -68?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 28 (c) -2\/3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 1, 22, 61, 124, 217, 346, 517?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9509, 23613, 37717?\n\"Answer: 14104*n - 4595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 242803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.7 (b) -6 (c) 0.038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 2381015*s**2 - 283362783555*s + 23535516706335.\nAnswer: -5*(s - 83)*(s + 238143)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18690.728172 rounded to the nearest ten?\nAnswer: -18690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 207025511 a multiple of 4439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1 in descending order.\nAnswer: 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2048811700 rounded to the nearest 1000000?\nAnswer: 2049000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -895 divided by 57919?\nAnswer: -895\/57919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2408430 divided by -1.\nAnswer: -2408430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dldjwwllmdlddld. Give prob of sequence wjw.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -10) + (-5 - -2 - (-40 + 45)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuuiiiiuuniiuiniuu. What is prob of picking 1 n and 1 u?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -29*a - 2262 + 3015, 5*a = 3*s + 127 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16100784 divided by -126?\nAnswer: 127784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 3511176?\nAnswer: 24578232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**2\/g))\/g*(g\/((g*(g\/((g**(-1\/2)\/g)\/g))\/g*g)\/g))\/g)**(-2\/7) assuming g is positive.\nAnswer: g**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 1112*s - 1108*s - 16, -2*s - 2*p = -2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 61*k - 9. Determine x(-24).\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1327*c**3 - 10*c + 5. Let b(g) = -1323*g**3 - 12*g + 6. What is -5*b(j) + 6*h(j)?\nAnswer: -1347*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-8 + 3 + -3 + (-1 - -6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55494442.05 + 52413965. Let c = 3080423.0499921 + d. Let h = -54 - c. What is h rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 5*o + 5. Let j be i(-4). Suppose 4*n - 32 = -3*s + 3*n, -3*s + 2*n + j = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437565504.\nAnswer: 2, 3, 73, 31219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39440?\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*q**3\/8 + 565*q**2\/2 - 4125*q\/2.\nAnswer: q*(q + 330)*(7*q - 50)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173472 = -5*r - w, -138772 = -10*r + 6*r + 2*w. What is the ten thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m = -25*m - 2016. What is the remainder when m is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 3*s**5\/4 - 295*s**4\/12 - 220*s**3\/3 + 210*s**2 + 2*s - 475. Find v such that g(v) = 0.\nAnswer: -2, 2\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a factor of 3274906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -172, -173, -174, -175?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*r**2 - 165*r**2 + 109*r**2 - 9*r**2.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2534807 (base 9) in base 11?\nAnswer: 863941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1376 + 1320.1. Let a = 139 - 83. Let j = a + o. Which is bigger: 1.8 or j?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 79.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 0.59, -0.4, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 + 624*y**3 + 5136*y**2 + 10368*y = 0. Calculate y.\nAnswer: -4, 0, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 159*b = 160*b - 96, 62 = 3*x + 5*b. Solve -693*z + x = -712*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 3*a. Let n(h) be the third derivative of -2*h**5\/15 + 7*h**4\/6 - 3*h**2. Give 28*i(q) + 3*n(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27\/(-189) + (-69)\/105)*5. Let n(z) = -z + 8. Let y be n(4). Sort y, 3, o in decreasing order.\nAnswer: y, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6339 + 6335. Which is the nearest to 1? (a) 9 (b) i (c) 3\/10 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 211*l. Let u be 2\/(-8) - 5\/(-4). Is k(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 9 = -2*y. Suppose 2*j = -y*j - 3*m + 662, -j + 5*m = -318. Let n = j + -209. What are the prime factors of n?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + l - 37889 + 13016 = 0, 0 = -5*v + 2*l + 31101. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.276002 to 3 dps.\nAnswer: 1.276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/49? (a) -24.7 (b) -8 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 182*w**2 - 4*w - 5. Let t(s) = 363*s**2 - 7*s - 9. What is 7*d(q) - 4*t(q)?\nAnswer: -178*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/9 and 40\/441.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -644487\nAnswer: 24\/214829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14897596 and 1816780.\nAnswer: 74487980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6\/(-18) + (-74)\/(-6) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -3*t. Let o = -6 - t. Let a(x) = -5*x**3 - 4*x**2 - 4*x - 4. Is a(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (154\/4)\/(4*(-4)\/(-32)). Let m = r - 77. Let i(a) = 0*a - a + 0*a + 1. Give i(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**6\/120 + v**4\/12 - v**2. Let a(x) = -4*x**3 + 9*x. Let u be 0 + (-1)\/(3\/(-6)). Give u*a(l) - 9*o(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 10*b**3\/3 + 9*b**2 - 2*b. Let l(s) = s. Let h(d) = -2*l(d) + x(d). What is the units digit of h(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 - 610*x**2 - 553*x + 55. Determine j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 9:13 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -765 - -1510. Let x = d - 747. What is the fourth smallest value in 20, -1\/6, -0.1, x?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a + 8*a + 454 + 420 = 0 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(76)) + sqrt(76) + -1*(0 + sqrt(76)) + 5)**2.\nAnswer: 144*sqrt(19) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -53, -65?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-220)\/88*((-4)\/(-5) + -2). Solve 12 = 4*j - 0*j - x, y*x = 2*j - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v + 17. Let j(h) = 416*h**2 - 130*h - 195. Let q(f) = 13*f**2 - 4*f - 6. Let w(o) = -2*j(o) + 65*q(o). Give m(w(s)).\nAnswer: -117*s**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-64)\/20)\/4)\/(10\/25)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**2 + 11*g + 9. Let j(u) = -5*u**2 - 6*u - 5. Let m(k) = -11*j(k) - 6*y(k). Let c(t) = 7*t**2 + 6. Give -c(r) + 5*m(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*n + 4*j, -2*n + 7 = -4*j + 3. Let u be (n - 1)\/1 + 27. Let l = u + -11. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**3 - 2*v**2 - v**3 - v**3)*(-1 + 2 + 2)*(4 - 3*v - 4) to o*v**3 + q*v**4 + b + n*v**2 + r*v and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0128 - 0.8872. Sort m, -3, 1, 0.01, 0.2.\nAnswer: -3, m, 0.01, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -12 - 3, 3*u = s + 7. Let p(k) = -7*k + 7. What is p(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u + u)*(-593373*u**3 + 3*u**2 + 593392*u**3 - 3*u**4 + 22*u**4).\nAnswer: -38*u**5 - 38*u**4 - 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - g + 7*g - 10*g)*(1 - 2 - 1)*(-5 + 2 - 2) to x + f*g and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8717162, 8717161, 8717160?\nAnswer: 8717159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/18 - (-34)\/153\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 + 100. Let n(v) = -3*v. Determine n(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-125)\/10))\/((-16)\/30)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.35185, -8, 0.2, 5?\nAnswer: -1.35185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.45 - 0.95. Let k = 3 + -6. What is the smallest value in k, j, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 - 13*k - 13. Let w(g) be the second derivative of g**5\/20 - g**3 - 3*g**2 - 23*g. Determine 6*q(z) - 13*w(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238*i**2*q**4 - 141*i**2*q**3 + 3*i**2*q + 3*i**2 + 20*i*q - q - 17 wrt q?\nAnswer: -2856*i**2*q**2 - 846*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -382 (b) 3 (c) 249 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dggddngying. What is prob of picking 2 d and 1 n?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5808305 by -17.\nAnswer: -341665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 16. Let x be 3\/b - (-92)\/20. Let -6 - 3*c + 2 + x + 3*c**2 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1818910 and 179890199.\nAnswer: 1798901990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28375 and 1000?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 - 13)\/((-8)\/(-6)). Let j = 179 - 179.1. Let t = -0.0379 - -0.5379. What is the third smallest value in j, 1.6, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-212)\/(-150))\/(80\/100). Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128041067.648 + -162.\nAnswer: -128041229.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**(-2)))**(-21)\/(v**2\/v)**(-2\/37))\/((((v**3\/v)\/v)\/v**(-4))\/(v*v**(-1)*v\/v**(-6))) assuming v is positive.\nAnswer: v**(-701\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*i + 346*i = 3*j, 5*i - 16 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(1008)) + 3)**2 + (2 + 3*sqrt(1008))*1.\nAnswer: 84*sqrt(7) + 4035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 143953106 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 432516 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p + 170. Let h(i) = 3. What is g(m) - 3*h(m)?\nAnswer: 5*m + 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1133*q**2 + 15*q + 2*q + 2*q.\nAnswer: 1133*q**2 + 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 12*x**2 - 7*x - 16. Let a be s(-13). Let k = 36 + a. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 1:33 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*f + 907*f + 126094 = -774*f for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**3 - 301388*m**2 + 5671892444*m + 198885607340 = 0.\nAnswer: -35, 37691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4329 divided by -538\nAnswer: -4329\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-4)*2\/(52\/13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 2*m. Let x be d(-3). Let r be (-42)\/9 - (-2)\/x. Let k = -6 - -4. What is the third biggest value in k, -0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/3)*q\/q**5*q*q\/q**(1\/5)*q\/((q\/q**(-10\/11))\/q) assuming q is positive.\nAnswer: q**(-238\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3515057 and 2171351?\nAnswer: 783857711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = l. Suppose l*w - 1 = 5. Determine o, given that o**2 + 0 + w*o - o + 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -20. Let x(t) = t + 40. Let l(y) = -4*v(y) - 2*x(y). Let c(u) = 3461*u. What is c(l(o))?\nAnswer: -6922*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223 - 10311?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*i = q + 268, 3*q - 159 = 3*i. What is the units digit of (-12)\/q + (-290)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4867396258 + -5311.\nAnswer: -5310.5132603742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19503074 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.085 (b) 3 (c) -24 (d) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 3*v - 25 + 30, 4*v + 8 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/3))\/o)\/(o\/(o**(-2\/13)\/o))*(o\/(o**(1\/4)*o))**(2\/59))\/(o**4*o*(o*o\/o**(-6))\/o*o)**(6\/5) assuming o is positive.\nAnswer: o**(-393371\/23010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -67806 (base 13) to base 14\nAnswer: -4c79d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2. Let i(r) = 119*r + 1. Give i(q(d)).\nAnswer: 357*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6567504*i**3*u**4 - 4*i**3*u**2 - 75958660*i**3 with respect to u.\nAnswer: -26270016*i**3*u**3 - 8*i**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65.81 + 62.7. Let s = t - -3.110000727. Round s to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qppqqqpq. Give prob of picking 2 q.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 + 5*n**2 - 2*n + 3. Let y(a) = 7*a**3 + 11*a**2 - 5*a + 7. Let h(i) = -4*y(i) + 9*z(i). What is h(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203294495 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 0.01208332512405.\nAnswer: -2.98791667487595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482410 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -6.1?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 40*i**2 + 128*i + 2. Calculate v(-5).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-10)*(4 - -2). Let o = 1676 - 1674. Let w = -2 + 0. Put 0.2, o, w, a in descending order.\nAnswer: o, 0.2, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 494700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3*1485\/(-198). Sort -71, -1, 3, z, -2 in descending order.\nAnswer: z, 3, -1, -2, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -202*u**2. Let n(p) be the second derivative of -2*p**3\/3 - 2567*p. Give x(n(a)).\nAnswer: -3232*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 24, -5*y = -2*l - 147 + 115. Sort -3, l, -19, 1.\nAnswer: -19, -3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1378077525 + 4*d + 1378077525.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 611 - 354. What are the prime factors of k?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 2*x + 2. Let j be r(3). Let c(m) = -9*m + 295*m**2 - 1 - 300*m**2 + 4*m. Let s(f) = -4*f**2 - 5*f - 2. Let d(v) = j*c(v) - 6*s(v). Give d(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1\/4, -7, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 12 (b) 1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/(1\/(-3)). Suppose -j*s + 2*u - 134 = -5*s, u - 177 = -4*s. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -21*b**3 - 1. Does 3 divide k(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r = 15*r + r + 7*r. Sort -4, 4203, r, -2.\nAnswer: -4, -2, r, 4203","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2676 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2 (b) -4 (c) 16 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 10:45 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 7*a + 283 = -2*a, -2*i + 539 = a. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 1. Let a(t) = -t + 1. Let l be 276\/(-27) - (-2)\/9. Let s = l - -8. Calculate s*a(u) + f(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2*y**3\/3 + 3*y**2 - 4*y + 1. Let x be k(-6). Suppose -8 - x = -v. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 9*z - 1. What is r(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + sqrt(448))**2 + sqrt(448) + sqrt(7)) + -2.\nAnswer: -23*sqrt(7) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2540 and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2. Let d(u) = -3*u + 3. Let j(y) = -y - 1. Let c(n) = -2*d(n) - 6*j(n). Determine a(c(t)).\nAnswer: -576*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 9) to base 6\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15.9, 35433, -0.01 in descending order.\nAnswer: 35433, -0.01, -15.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.617487 rounded to 2 dps?\nAnswer: 31.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*a - 51 = 0, h = -0*h - 2*a + 65. Let n = 8 - 4. Suppose w - 15 = v, -n*w - v = -w - h. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a**3 + 4*a**2 - 3*a**2 - 4*a**2 + a - 72*a**3 - 24*a**3 to u + z*a**2 + r*a + o*a**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 4 - (2 + -5 - -7)*-4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11967 and 1053.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3168 and 2128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 3833508.\nAnswer: 30668064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -277 + -28. Let t = 489 + r. Calculate the lowest common multiple of t and 14.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) + 1 + 1).\nAnswer: -3*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1999 divided by 2451\nAnswer: -1999\/2451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 2 = 5*p. Suppose 0*z + 90 = p*z. Solve -w - z = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 + 4*q**2 - 2*q - 3. Let n(o) = 5*o**3 + 9*o**2 - 5*o - 7. What is -9*l(r) + 4*n(r)?\nAnswer: 2*r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2037 + 2043. Solve 2*i = -4*t + 10, 2*t = h - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f + 0*f)*(-8 + 3 + 3) - 1 + f + 1 + (5 - 4 + 1)*(-3*f - 2*f + 6*f) - 2531*f - 2420*f + 5445*f.\nAnswer: 495*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -23*r**2 - 68*r - 5. What is d(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, l: 1, k: 2, u: 1, c: 1, v: 4}. Give prob of sequence cvkl.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.85 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-1 - (-2 - 11)) + (57 - (9 + 116)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 - 4*y - 3. Let l(c) = 6*c**2 - 5*c - 4. Let s(p) = 5*b(p) - 4*l(p). Let t(r) = -2*r + 1. Calculate -s(i) + t(i).\nAnswer: -i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**4\/6 + r**2. Let x(t) be the first derivative of -2*t**3\/3 - 17. Calculate x(c(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -73, -117, -165, -217, -273?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*c - 17, -39 = -3*a - 0*c + 5*c. Let p be (4\/(-5) - 0)*(-20)\/8. Suppose -38 = -p*b + a. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4337 + 4*v - v**2 + 4*v + 4335. Suppose 2*t = -4*w + 4, -3 = 5*w + 2. Calculate m(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -88*t + 91*t, 2 = -2*i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*x + m = -116*x + 4, -5*x + 4*m - 16 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 - 222*p\/7 - 6148\/7.\nAnswer: -2*(p + 53)*(p + 58)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 3:31 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 10:54 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.11 + -289.\nAnswer: -285.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*v - 573*v + 23134 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 405351 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 332 = 4*m - 513, 2*m = -f + 285. Suppose -4*d = d - f. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118777460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0*z + 10. Suppose -z*o - 9 = 61. Let t be 4\/o - 1390\/(-14). Calculate the highest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwwccc. Give prob of sequence cw.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/9*((-7)\/(-84))\/(9\/(-243))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15374 is divided by 138?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + b = -2*b - 11, -2*d - b = -1. Suppose 0 = -0*y + 2*y + 8, 0 = d*l - 5*y - 266. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8953115?\nAnswer: 5, 1790623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - -1) + -5*(-24)\/(-20). Let w(a) = a**3 - 5*a + 6*a**2 + 3*a - 15 + 4*a**2. What is the units digit of w(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/3 and 13\/14596431?\nAnswer: 14596431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -27 - -26 - -6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/4*12\/5. Let t be 10\/(-3)*y\/(-8). Suppose -4*a = -2*w - 0*w, -3*a = -2*w + t. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, -1, -568, 26 in descending order.\nAnswer: 26, 9, -1, -2, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + h + 0)*(84*h**4 - 298*h**4 + 157*h**4 + 30).\nAnswer: -57*h**5 + 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (-213 + 17))*((-1)\/9*-12 - 1)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 272*k - 3. Let j(m) = -136*m + 2. Determine -3*g(d) - 5*j(d).\nAnswer: -136*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from euxxbxex?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 2, 6, 14, -31, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9*2*18\/42.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-7) + ((-46284)\/(-147))\/(-29)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u. Let z(m) = -64*m**2. Determine z(a(n)).\nAnswer: -1024*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26979 and 230775.\nAnswer: 122079975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8649 and 885825?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 73247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-101 + 11 + 17)) + 1 + -8?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**5\/20 + 2*m**4\/3 + 11*m**3\/6 - 11*m**2\/2 + 3*m. Calculate the remainder when 20 is divided by y(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 547 - 543. What is the second smallest value in 2\/5, 11, s, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70053130 - -15053130. Round c to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-30)*2*-5. Suppose 0 = w*s - 2*s - d - 8, -8 = -4*s - 4*d. Suppose 8*k - 12 = s*k. What is the remainder when 5 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 130508 or 130507?\nAnswer: 130508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(5600)*-3)\/(sqrt(8) + -2*sqrt(8)*5) + (sqrt(63)*3*-1)\/(sqrt(9) + sqrt(9) + sqrt(9) + sqrt(99)\/(sqrt(11) + sqrt(275) + sqrt(11))).\nAnswer: -3 + 157*sqrt(7)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Suppose x - 24 = -x + 5*m, -3*x = -z*m - 22. Solve 0 = -5*n + 6 - 1, 2*s - x*n = -2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 797 and 0.09.\nAnswer: 71.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 33. Let u(k) be the first derivative of -1\/24*k**g + 0*k**3 + 0*k - 3 - 1\/8*k**2 + 0*k**5 + 1\/8*k**4. Find i such that u(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2622020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:03 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23807 + -23807. Sort 13, r, -83 in ascending order.\nAnswer: -83, r, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y**(1\/14))\/(y*y**0*y)**(-2\/11))**(-50) assuming y is positive.\nAnswer: y**(6025\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 1. Let a(n) = -6*n + 5. Let w(i) = a(i) + 5*r(i). What is the units digit of w(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + 22*o**2 + 5*o + 19. What is n(-8)?\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4436.2 to the nearest ten.\nAnswer: -4440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3311, 1\/7, 28, 14, 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/18 + -2)\/(1\/(-192)). Suppose -75 = -n*z + 125*z. Let y = 140 - z. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-130 - (-10 - (-17 + 33 + -19))) + -3\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = -10119 + 10184. Solve -3 = t*c - 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-493370)\/(-197348))\/((2\/12)\/1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 27 = -0*h. Let x = -16 + h. Let r(y) = -55*y - 14. Is r(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 11*n**5\/20 - 19*n**2. Let g(a) = -6*a**2 + a**2 + 4*a**2. Calculate g(u(v)).\nAnswer: -1089*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2\/5 + 3*z\/5 - 18\/5 = 0. Calculate z.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t - 27. Let v be f(-8). Suppose v*j - 24349 = -82069. Let z = -19644 - j. Round z to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3456244?\nAnswer: 2, 11, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.3 (b) 0.4 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/8*94\/(-46389)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7626330 rounded to the nearest one hundred thousand?\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 705.2211329 to the nearest 10.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6328*g - 742*g - 97197 - 87624 + 33999 = 0 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (218*r + 437*r - 222*r)*(2*r**2 - 3*r**4 - 4*r**2 + r**4 + (-4*r + 3*r + 3*r)*(r**3 - 4*r**3 + 2*r**3)).\nAnswer: -1732*r**5 - 866*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 199, -5, 2\/7, -75, 3, -0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 60\/1351, -0.5 in decreasing order.\nAnswer: 38, 60\/1351, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 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: What are the prime factors of 10298045?\nAnswer: 5, 29, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-30) + (-104)\/3. Let u = 39 + j. Suppose -u*i + 12 = -i. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a + -4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, 0.4, -167676\/23?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 + 3*c**2 + 3*c + 3. Let z(m) = m**2 + m + 1. Let b(f) = i(f) - 4*z(f). What is b(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-3 - -9)) + -12 - (1 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1545 and -9\/415.\nAnswer: 128235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.141364305\nAnswer: 0.424092915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*t - 29111 = -0*t - 24652 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 26*j**2 + 125*j + 10. Determine k(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + 2. Suppose -2*i - 7*i = -z. Suppose -5*q + 0 = -i. Let o(j) = 4*j**2 + 2*j - 1. What is o(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -122*o**3 - o**2 - 4*o - 4. Let p be (-14)\/(-42)*-3*1. Let n be d(p). Suppose -3*i + 24 = -9. Calculate the greatest common factor of i and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 10*d. Let l(x) = -x**2 + 3*x. Suppose -14*j = -19*j - 20. Let c(v) = j*w(v) - 11*l(v). Find the second derivative of c(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 81027 + 81027.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 840*k. Let w(m) = -155570*m**2. Give w(y(l)).\nAnswer: -109770192000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 25. Solve i = -z*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(45\/6)*(-4 - -1). Let s be -2 + 3 - -2 - -5. Let m = s + -11. What is the nearest to j in 0, 2\/9, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1659 = 5*k - 1624. Let d(z) = 11*z**2 + 9*z - 5. Let b(l) = -5*l**2 - 5*l + 2. Give k*b(x) - 3*d(x).\nAnswer: 2*x**2 + 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -780, -6462, -21890, -51936, -101472?\nAnswer: -175370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0634815 + -0.82.\nAnswer: -0.7565185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 - (-4 - 2 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1086\/14 - 16\/28. Calculate the greatest common divisor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82045330?\nAnswer: 2, 5, 101, 81233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4991057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k**2 - 7*k**3 + 6*k**2 + (k**2 - 5*k**2 + 3*k**2)*(k - k - 2*k) + k**3 - 5*k**3 + 5*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12904 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2 - 18 - 40*h**2 - 16 + 39*h**2 - 20*h. Let l be s(-18). Is 25 a factor of (-352 - l)*15\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134*j + 198*j + 259*j)*(6*j + 5*j - 3*j + (1 - 1 - 2)*(3*j - 5*j + 0*j) - 2*j - j + j).\nAnswer: 3230*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) -1 (c) 1\/897 (d) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 132306?\nAnswer: -132303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161082262.\nAnswer: 2, 67, 733, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*g, -2*x - 165*g = -161*g - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 58*w**2 + 24*w + 24. Calculate the remainder when 355 is divided by i(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 10) to base 14.\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/455 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxe when three letters picked without replacement from {x: 11, e: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0 (c) 5 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18460 is divided by 2047?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**3 + 2*d**2 + d**3)*(-2*d + d + 27*d).\nAnswer: 52*d**4 + 26*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**3 + 198615*a**2 + 4569666*a + 4371048 = 0.\nAnswer: -22, -1, 66228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/12)\/5*-9. Let i(y) = -24*y - 12. What is the remainder when i(s) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/340)\/((-3)\/(-15))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdnn when four letters picked without replacement from {p: 1, n: 5, d: 7, e: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/((-6)\/12). Let s(c) = -c. Let h(q) = -4*q**3 + 4*q. Let d(r) = f*h(r) - 6*s(r). What is the second derivative of d(a) wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 + (-2 - -6) + 7 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 695 = -7. Let x = v + -343. Is x less than 21\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**3\/10 + 66*k**2 - 658*k\/5 = 0.\nAnswer: 0, 2, 658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -2\/7 (c) 1 (d) -2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2\/5, -3, 48?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2422 or -2424?\nAnswer: -2422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.24 - -0.34. Let s = j + 3. Is -1 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.2 (b) -14 (c) 22636\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63682583597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 4:21 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -3. Let j = 7 + i. Suppose -c - 4*s - 10 + 41 = 0, 0 = j*s + 3. What is the greatest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9853 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -62.44?\nAnswer: 59.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -4\/23 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -19*i + 18*i - 1 + 2. Calculate the remainder when 7 is divided by l(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4441, 17788, 40041, 71206, 111289?\n\"Answer: w**3 + 4447*w**2 - w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - 15*r - 13*r + 40*r - r**2 + 5*r + 4 - 1 to n + k*r**3 + p*r**2 + i*r and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0602 minus 6?\nAnswer: -5.9398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 smaller than 581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 3*s + 3, 89*s = 86*s - 3*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -49\/2 (c) -0.07 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/(-460)*190\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24533, -2\/7, -2, 13.\nAnswer: -24533, -2, -2\/7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*b**3 + 5*b**2*s - 14*b**2 + 1957*s wrt b.\nAnswer: 45*b**2 + 10*b*s - 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/((-425)\/(-34)))\/((-10)\/(-17945)*37)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/12 - (-23)\/4*-1. Sort 1, -6, o in ascending order.\nAnswer: -6, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + -3)*(-1794300)\/(-9). What is i rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 184 (c) 2 (d) -8.3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/((-18)\/(-20)))\/(92\/6210). Let n be ((-6)\/7)\/((w\/70)\/15). Solve n*l - 22 = -3*p, 2*l - 7 + 1 = p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = 3*n, -2*d + 1 = 2*n + 3. Suppose n*x = -2*x. Solve -p + 5*p - 12 = x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 26*w + 1. Let l be a(1). Let m(t) = -t**3 - t**2 + 8. Let k be m(0). Let c be ((-6)\/k)\/(3\/(-12)). Calculate the highest common factor of c and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/5*(-75)\/(-9). Let n be (-35)\/(-42) - 4\/(-2). Let s = m + n. Put -0.4, 4, s in decreasing order.\nAnswer: 4, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 2 + (2 - -3). Suppose -c*o = -2*j - 169 - 105, 5*o - 310 = -4*j. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - c**2 + c. Let t(j) = -20*j**3 - 4*j**2 - 6*j. Let b(f) = -4*d(f) + t(f). Find the second derivative of b(n) wrt n.\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 4, 0, 3 in increasing order.\nAnswer: 0, 3, 4, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*v - 16, 108*u = 114*u - 3*v + 21 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -153510, -306991, -460472, -613953, -767434, -920915?\n\"Answer: -153481*t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1210 is divided by 246.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 16 = 3*g. Let m(q) = -6*q**2 + 5*q + 7. Suppose -7*w = -2*w - 30. Let a(l) = -5*l**2 + w + 5*l - 5*l + 4*l. Determine g*m(u) - 5*a(u).\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -30142?\nAnswer: 30141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u + 118. Let m be j(-2). What is the highest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -262 + 134. Let v = 195 + h. What are the prime factors of v?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 5*y - y)*(15*y**4 + 181*y**2 - 181*y**2) - 4295080*y**4 + 4295080*y**4 - 1515*y**5.\nAnswer: -1545*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 smaller than -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.5 + -1?\nAnswer: 44.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50.5 - 136. Let y = n + 86. Which is the second biggest value? (a) y (b) 2\/19 (c) 2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -166433*d + 166531*d - 7546 for d.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least as big as 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*p**3 - p**2 + 19985*p + 5319139 wrt p.\nAnswer: 57*p**2 - 2*p + 19985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 59. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 597, -5.\nAnswer: -5, 0, 2, 597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -32. Let m(z) = z**2 + 2*z - 18. Calculate the remainder when m(-8) is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 + 4*b. Let g be 4*2\/8*2. Let q(y) = 4*y**g + 7*y - 2*y + 0*y. Let c be ((-2)\/(-4))\/((-76)\/(-40) - 2). Give c*q(l) + 6*p(l).\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206 + 201. Let d(g) = g**2 + 6*g + 6. Calculate d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 4*h**2 + 4*h + 3. Let c = 68 + -64. Let y be (c\/(-8) + 2)\/((-6)\/16). Calculate s(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4402 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7931 + 7779 + 4062 - 4946)*(s + 2*s - 4*s - 2 - 2*s + 2 + (-5*s + s + 3*s)*(2 + 0 + 0) + s - 2*s - s + 1 - s - 1) in the form c + x*s and give x.\nAnswer: -118608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 75\/8 of a microgram?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 6*s**2 + 7*s - 56. Let d be g(-7). Let y = 395 + d. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43931 and 70914.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 m, 1 b, and 1 k when four letters picked without replacement from {b: 3, k: 1, m: 1, z: 5, h: 2, n: 1}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -19. Suppose -4*u + 31 = 3*v, -14 = -5*u - 3*v + d. Let b be 93*1 - (u - 8\/4). Calculate the greatest common divisor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (12\/9 - 3470\/15)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*w - 30, 7*w - 2*p = 2*w - 35. Let u = -5 - w. What is the closest to -2 in -1\/3, 3, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3. Let w = 4 + r. Solve 4*i - 8 = -4*t, -i + 2*i + 2 = w*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 104*s**3 + 3*s**2 - 3*s + 3. Let h(a) = 5*a**3 + a**2 - a + 1. Give 15*h(w) - 5*k(w).\nAnswer: -445*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 213, 410, 607, 804?\n\"Answer: 197*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -412 + 434. Suppose 83 - 17 = h*d. Solve -2*y - 3*j = -3*y - 11, j + 13 = -d*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7574327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4263081 - 194.\nAnswer: -4263275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -791 - 1643.\nAnswer: -2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2*f - 46 = 0, -3*t + 732 = 4*f + 754 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -2) + (-9 - (0 + -15))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43640?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4466256 microseconds?\nAnswer: 0.0000004466256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000134308 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 221 and 2720?\nAnswer: 35360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 12:51 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001 is divided by 43.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 375 by 3.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o + 1512 = 232*o - 909 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(2\/21) assuming r is positive.\nAnswer: r**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 481 - 456. Suppose 546*w = 551*w - j. Solve w*r = r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3823\/4 - 972. Calculate the common denominator of v and (-781)\/(-154) + (-4 - 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5 - 1.8. Round b to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1. Let b be (m + 3)*(-50)\/20. Sort -0.1, 4, b in descending order.\nAnswer: 4, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/4 (b) -4 (c) -15.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -124406?\nAnswer: -124406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 e when three letters picked without replacement from {e: 16, g: 4}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62474038 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 - -0.25. Let m = d - 6.85. Let g = m + 8. What is the biggest value in 4, g, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 - 6*p. Let w(x) = -313501*x. Determine u(w(a)).\nAnswer: -491414385005*a**2 + 1881006*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 8*b - 7. Let w be a(-6). Suppose 0 = -w*z + 4*l + 62 - 22, -4*z + l = -32. Suppose 3*h - z*h + 195 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 5:34 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 22.7. Suppose -3*d + 8 = -7. Let s be (d - 2)*(-4)\/6. Put s, a, -2.2 in descending order.\nAnswer: a, s, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)*2 + -1.\nAnswer: -1 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0 - -4)*(42 - 60).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = -16. Calculate the highest common factor of s and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2084.755281 rounded to one decimal place?\nAnswer: -2084.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c - 4*c**2 - 17*c + 11.\nAnswer: -4*c**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = k, 5*s - 2*k + 1 - 198 = 8*k - 13*k for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-310 - -327) + (1 - 0)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 241\/332 + 2\/83. Let u = -497 - -288. Let x = 1879\/9 + u. What is the biggest value in v, -5, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-12)*r)**(3\/26) assuming r is positive.\nAnswer: r**(21\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11476 + 22954 - 11477 - 15078*l)*(3 + l - 3)*(-1 + 4 - 4) to w*l + n + u*l**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 22*b = 27 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 31 (b) 3.1 (c) 0.052 (d) -5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let b(p) = -6993*p**2 + 185*p. Let d(n) = 76*n**2 - 2*n. Let i(a) = -4*b(a) - 370*d(a). What is i(s(t))?\nAnswer: -148*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*i - 18 - 37, -5*i + 25 = 0. Solve 1 + z = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 = -4. Let l be 3 - (0 - -6 - -1). Let s be l\/(-126)*(-1 - -4). Is s <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5, 3, -0.4, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 12*d + 16. Let g be (8*-7)\/(-4)*(-3)\/(-6). Suppose 3*m - 2*j + 1 = 0, 5*m + j = -j + 25. Calculate the least common multiple of m and u(g).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 1463 = 15*p. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y + 210 = 46*y. Suppose 5*z - 27 = 93. Calculate the greatest common factor of y and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.1. Let o = -0.4248 + 0.6248. Which is the closest to w? (a) -0.41 (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f**2 - 48*f + 1. Let r(b) = 2*b. Determine x(r(y)).\nAnswer: 28*y**2 - 96*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - -1324?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -37, -62, -9, -5, -7 in decreasing order.\nAnswer: 47, -5, -7, -9, -37, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -144, 4, 1, 748, 5 in descending order.\nAnswer: 748, 5, 4, 1, -5, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007931286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -4*m - 2*m**2 - 7\/4*m**4 - 4 + 0*m**3. Let w(x) = 8*x**3 + 5*x + 5. Calculate -5*c(d) - 4*w(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (11 + (-208)\/(-52)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {n: 1, t: 1, j: 1, f: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**5\/7 + 5368*j**4\/7 + 362258*j**3\/7 + 2039168*j**2\/7 + 3662280*j\/7 + 1980000\/7 = 0.\nAnswer: -60, -3, -2, -1, 2750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1398*v**3 + 1490?\nAnswer: 4194*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -734016.49719.\nAnswer: -734016.39719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.7 + -21.8. Let v = -5 - -4.9. Which is the nearest to v? (a) -4 (b) -1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + 16*g + 13 = 2*q, -3*q + 4*g = -47 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 30. Suppose g = 7*r - 13. Suppose 2*z = -x + 6*z + 98, 2*x = -r*z + 216. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 10*k - 2. Let h(c) = -c. Let x(w) = -12*h(w) - m(w). Let f(l) = -4*l - 4. Determine -3*f(o) - 7*x(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.365 - 0.065. Let s = -14 + c. Suppose 4*a + 3*p = 7, -3*a + a + 21 = 5*p. What is the second smallest value in -1\/10, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344307 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349606711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -83400 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7130 (b) 0 (c) -2\/3 (d) 1\/10 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 446.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.002 and -60220249064.\nAnswer: -60220249063.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -4. Let i = -163 - -488\/3. Let h = -208 - -2703\/13. Which is the nearest to t? (a) i (b) h (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/3 + 330704*z**4 + 41003988192*z**3 - 1968762926592*z**2 + 23627441166336*z = 0. Calculate z.\nAnswer: -248052, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-56)\/21))\/((-9)\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17074*q**2 - 2*q*z**2 + 32*z**2 + 4*z + 1 wrt q?\nAnswer: -34148*q - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 + 3046688*y**3 - 579961405504*y**2 - 69628276346880*y - 2089177384550400 = 0. Calculate y.\nAnswer: -60, 380896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4420993 hours?\nAnswer: 26.525958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -34 + 34 - 5*k. Let v(f) be the second derivative of -17*f**3\/6 + 29*f + 5. What is v(s(o))?\nAnswer: 85*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2108 is divided by 358?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m - 30. Let o be d(-4). Let g be 2\/(-7) - (-2939839)\/(-49). Let r be 10*o\/(-4 - g\/15000). Round r to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z + 24. Let f(w) = -3*w + 14. Let n(b) = -2*f(b) + m(b). Let u(y) = -y + 1. What is n(p) + u(p)?\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 350861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 393818334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/1)\/(-4))\/((-3)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171 - -950. Calculate the remainder when i is divided by 200\/(-6)*((-2592)\/90 - -27).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = -3*f + 5*g, -g + 24 = -4*f. Let l be ((-3)\/f)\/(2\/36). Let b = l + 22. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -59 (c) 20 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*m**3 - 182*m**2 + 179*m**2 + m**4 + 7*m**3 as n*m**3 + g*m**4 + x*m**2 + d*m + k and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6701 - 12679. Let i = f + 11978. Let b be i\/(-28)*5\/((-5)\/2674). What is b rounded to the nearest ten thousand?\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*c + 33*c + 1834 = 40*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s - 8. Let k(r) = -2*r - 2. Let i(z) = 2*a(z) - 9*k(z). Suppose 0 = -3*f + 12, -4*h + 6 = -5*h + 3*f. Let d be (-2)\/h - (-28)\/(-6). Give i(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(567) - (0 + sqrt(567) + 1)) + sqrt(567)) + (1*sqrt(567)*1 + sqrt(567))*-3)*-1*-1)**2.\nAnswer: 90*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 27 + 125. Let b(c) = 6*c**2 + 3*c - 3. Let t be b(3). Let a = j + t. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 3*h**2 - 6*h + 6. Let n be o(5). Suppose 517 = -11*z - n. Let u = z + 68. Which is the third biggest value? (a) u (b) -8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxxx when four letters picked without replacement from {j: 2, e: 1, x: 4, r: 2, l: 3}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.03341*-0.17\nAnswer: 0.0056797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {p: 2, d: 3, v: 10, t: 2, y: 1, f: 2}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21 - 18\/(11 - 5). Solve i = 13*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - z + 15 = j, 45*z - 41*z - 1727 = -249*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7*s = -365. Suppose -w = -4*y - 2*w + 336, 0 = -y - 3*w + s. Is y 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 1:41 AM and 2:01 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93\/3554731 or -1?\nAnswer: 93\/3554731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 52. Solve 16 = -a*g - 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -120, -959, -3236, -7671, -14984, -25895, -41124?\n\"Answer: -120*d**3 + d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 - -0.97. Let w = z + -0.6. Which is the third biggest value? (a) w (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89597038 or 89597035?\nAnswer: 89597038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/18)\/w)\/w**(-9\/8)*((w\/(w\/(w\/w**1)))\/w)**(-31))**(-2\/75) assuming w is positive.\nAnswer: w**(-2237\/2700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -796*q - 99. What is the tens digit of d(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-784)\/(-84) - (11 - (-3)\/1))\/((-2)\/18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:05 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -120 + 120 - 56*k**2 - k**2 + 3*k**2 + 3*k**2 + (-4*k + 0*k + 2*k)*(2*k - k - 3*k).\nAnswer: -47*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4716 is divided by 198.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(84)*1 - sqrt(84)))\/sqrt(12) + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/19910 and -89\/1320.\nAnswer: 238920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3020333035 to the nearest integer?\nAnswer: 54958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3591 and 627.\nAnswer: 39501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1026798 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + k = -4*k - 9, 4*b + 3*k - 3 = 0. Solve 4*v - 2*v - 10 = a, 3*a = -3*v - b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195969619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a86 (base 11) to base 12.\nAnswer: -908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*2338\/16366.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1663 divided by -417113.\nAnswer: -1663\/417113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.28416 plus 839193?\nAnswer: 839196.28416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*o + 12, 4*t + 28 = -3*o + 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58, 116, 174, 232, 290, 348?\n\"Answer: 58*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1671 + -2904. Does -1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 109, 156, 199, 238, 273?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h**4 + 6 + h**2 - 9*h**2 + 6*h**2 + 25*h**4 - 5 - 2*h**3 - 24*h to z*h**4 + f*h**2 + u + m*h**3 + v*h and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-546)*(-120)\/(-400).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 8\/9*f**3 - 5*f**2 - 10\/9*f**6 + 0 + 2*f**5 + 25\/126*f**7 - 16\/9*f**4 + 0*f. Factor x(l).\nAnswer: (l - 2)*(5*l - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 241 or 157539?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.287 - -0.013. Let u(d) = -2*d + 16. Let q be u(9). Which is bigger: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 735 and 2205?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 26*q**2 + 2*q. Let r(g) = 120*g - 25*g - 44*g - 32*g - 45*g. Calculate p(r(v)).\nAnswer: 17576*v**2 - 52*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/4*1\/1. Suppose 8*j = u*j + 126. Solve -4*q + 0*q + 2*s = -16, -3*s = 3*q - j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4484476 and 549?\nAnswer: 40360284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -25*z + 20*z. Let c(l) = 9*l - 12. Let q be c(z). What is the greatest common divisor of q and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 74. Let r = -37.6 + x. Let k = 14 - 33. Which is the second smallest value? (a) -0.5 (b) k (c) r (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*v**2 + 14*v**2 - 17*v**2)*(-2*v**2 - 2*v**2 + 2*v**2) + 2*v**4 - 3*v**4 - v**4 + (-3 + 2 + 3)*(-v**4 - v + v).\nAnswer: 120*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1125 - 817 + 2716 - 1091 + 32*w. Give u(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m + 2*m + 666. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1 + 21*y + 0*y + 0*y. What is the remainder when k(2) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {o: 1, c: 1, v: 6, f: 3, g: 1, i: 5}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -63. What is the tens digit of -15*(2 - g\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 123, 10, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2551 * 14164\nAnswer: 3613.2364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c72 - -95?\nAnswer: -4baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 30*d + 135 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -18, 0, 57?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.0851, 0.1 in decreasing order.\nAnswer: 1, 0.1, -0.0851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(1\/8)*f**1*(f**0*f*f)**(-1\/20))**(-3\/31))**(4\/31) assuming f is positive.\nAnswer: f**(-363\/9610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -2, 3, 0, -2631 in decreasing order.\nAnswer: 3, 1, 0, -2, -3, -2631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -3 + -6 + 671\/55. Factor 1\/5*m**3 + 1\/5*m**2 - 1\/5*m + 0 - c*m**4.\nAnswer: -m*(m - 1)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33.2 - 33.5. Let o be 2 + -2 + 2 + 2. Which is the nearest to -1? (a) -2\/3 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 1\/5, -5, 6.08, 0.3, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(-2) + 1\/2. Suppose -8 = -6*o - 38. Let p(z) = 8*z. Let r(w) = 7*w + 1. Let i(h) = o*r(h) + 4*p(h). Give i(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -695711.6 rounded to the nearest 1000?\nAnswer: -696000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30764 + 10256 + 10258 + 10256 - 490*x)*(-3 - 3*x + 3).\nAnswer: 1470*x**2 - 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00054486734 to 7 decimal places.\nAnswer: -0.0005449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/1495 + 1483\/8970. Sort -2\/23, f, -4, -307 in ascending order.\nAnswer: -307, -4, -2\/23, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**2 - 146*o + 15. Let n be s(23). Solve 357*v - n*v - 9 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387889451 a multiple of 2707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 9 - 48 + 41 - 10*i + 10.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 54. Suppose -21*o + s = -16*o. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(110)*-3)\/sqrt(2))\/(sqrt(121)\/(sqrt(11)*3*6)).\nAnswer: -108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d**2*n**2 - 379*d**2*n - 2*d**2 - 967511*d*n**3 - 22*d*n + n + 59 wrt n?\nAnswer: -16*d**2 - 5805066*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3 - 16. Let y = j + 19. What is the units digit of (y\/4)\/((-21)\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -708*i**2 + 2430 + 2126*i**2 - 704*i**2 + 273*i - 711*i**2 = 0. What is i?\nAnswer: -81, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 3*f - 37 = 3*p, 5*f - p + 21 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, f: 12}. Give prob of picking 2 f.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 5:12 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -85*u**5\/4 + 5*u**4\/12 - 8*u**2 + 236*u. What is the third derivative of c(s) wrt s?\nAnswer: -2550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558580 is divided by 13595.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1043*n - 1043*n - 13*n**2)*(0*n**3 + n**2 + n**2 - n**3).\nAnswer: 13*n**5 - 26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16448916656 from -0.1.\nAnswer: -16448916656.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 471, 469, 467, 465, 463, 461?\n\"Answer: -2*z + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (5 - ((-2 - -5) + -8)) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p - 90. Let w be b(13). Let f(z) = 5*z + 3. Let c be f(w). Solve 0 = 4*q - 2*q + c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z + 2*z + 2*z + 2*z + 3 - 3 + z + 3*z - 5*z + 0 - z + 0 + (-1 + 2 + 0)*(-2 - z + 2) - 2*z - 2 + 2 - 4*z + 3*z + 0*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7))**(4\/21)*g**(5\/13)*(((g*((g**(-5\/8)*g)\/g)\/g*g)\/g)\/g*g*g*g)\/g*g assuming g is positive.\nAnswer: g**(133\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*b**3 - 8592*b + 8592*b + 520*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 4. Let i(y) = -y**2 + 0*y - 6 + y - 10*y. Let s be i(-9). Give f(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1056 = -5*h - 681. Calculate the highest common factor of h and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + a**2 - 65*a + 737. Give o(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 + 3 + -2 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142 + -693. Let g = 571 + p. Suppose -4*r - 5 = -5*d - 41, 0 = -3*d. What is the remainder when g is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 7\/3*u**3 + 0*u**4 - 6*u + 0*u**5 + 0*u**2 + 8\/15*u**6 + 0. Find the second derivative of j(c) wrt c.\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {t: 1, y: 4, b: 4, j: 1, x: 1, v: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-1 - -3)\/4). Let v = -1 + g. Solve 0 = -x + 2*x + 5*z - v, x = -z - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21065?\nAnswer: 5, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 4)*10332\/1435?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-6)*(-6)\/(-4). Suppose 0 = 4*s + p - z, 2*p = 4*s - s - 5. Suppose -4*h = i - 112, 3*i - s*h - 21 - 270 = 0. Does 33 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3 - (-7 - -5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 638 and 2024954.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 22. Let g be d(14). Let n(x) = 4*x**2 - 6*x - 5. Let y(q) = -q**2 + q + 1. Give g*y(v) + n(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1438, -1452, -1484, -1540, -1626, -1748?\n\"Answer: -s**3 - 3*s**2 + 2*s - 1436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4555, -18369, -41425, -73723, -115263?\n\"Answer: -4621*l**2 + 49*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*l - 2*u, 3*l - l + 7 = -u. Let x be l*(-2 + 3 + -2). Solve 0 = -x*t - 4*d, -2*t = -0*d - d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 45. Solve -3*t = -4*u + 6, 3*u - f - 8 = -4*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 922781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37.7 - -38. Let d = 22.11 + -17.11. Let q = -0.01 - -0.05. Which is the nearest to -1\/4? (a) g (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 1113?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 16308?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 8, -36212 in decreasing order.\nAnswer: 8, -9, -36212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 3:27 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(133) - (sqrt(133)*-1 + sqrt(133))))\/(sqrt(175) + sqrt(175)*-2 - sqrt(175) - sqrt(175)))**2.\nAnswer: 76\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1899 divided by -633.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 9284?\nAnswer: -5\/9284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -17*b + 3. Let x = -172 - -181. Suppose -x*l + 31*l = 66. Let j(s) = -6*s + 1. Give l*m(v) - 8*j(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*s - 2\/3*s**3 + 0*s**2 + 0 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f\/f**8)\/f))*f)**(-1\/16)\/(((f*f\/(f*f**(-12\/11)))\/f)\/((f*f\/(f*f\/((f**(2\/17)*f)\/f)*f))\/f)) assuming f is positive.\nAnswer: f**(-7587\/2992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179344131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30740 + -214769\/7. Let o = -59 + p. Which is the closest to -0.3? (a) 5 (b) 2\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in -4, -8.42, -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20670 divided by 689\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + 0.33. Let k = -2.7 - h. Which is the third biggest value? (a) 3 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + z + 2. Let k be 1 + (0 - 0) + -1. Let w be v(k). Let a = -290 - -293. Solve 5*q + 6 = 2*q + a*u, -w*u = 5*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 13 - (1 + 55).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 15 = 0, -19*a + 17*a + 5*w = -15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 19*a - 2. Let x be s(3). Suppose 3*g - x = 74. Suppose -5*f - 55 = -5*m, -6*m + m = -2*f - g. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19882.\nAnswer: 2, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2912)\/(-1872))\/((-1)\/9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*g = -287*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36582 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3455722 bigger than -3455654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 7. Let f(t) be the third derivative of -t**3 + 3*t**2 + 0*t + 0 - 1\/8*t**4. Determine f(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599546 != 599573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 17*z**3 - 2*z**2 - z. Let b be c(-1). Let q = -14 - b. Suppose -4*y = q, 0 = s - y - 12 + 1. Solve -2*a - s = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 43*c**3 - 101*c**3 + 17.\nAnswer: -58*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8632793.\nAnswer: 13, 664061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76.26 - -2344.\nAnswer: 2267.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102727\/215 + (-1)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0207201977 to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 96*y + 2306. Let g be j(49). Solve -5*h = -3*r - 7, -g*h - 11 = 32*r - 30*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 7. Let a be k(-5). Let w = -24235 + 24231. Sort -1, w, a, 2 in ascending order.\nAnswer: w, a, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 + 2*p**2 - 7*p**2 + 2*p**2. Let z(r) = 0 - 27*r + 120*r + 0. Calculate z(x(f)).\nAnswer: 186*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2. Let j(l) be the second derivative of -7*l**4\/24 - 3*l**2\/2 - 4*l. Let m(k) be the first derivative of j(k). What is i(m(g))?\nAnswer: 98*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 790 = -5*q + 3*o, 0 = -3*q + 5*o + 476. Suppose 158*z - 5029 = q*z. Let x = 50409\/10 - z. Find the common denominator of -49\/12 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + 0. Let o = 27 + -31. What is the nearest to 0 in o, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45550\/((-6)\/(24*5)). What is b rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*sqrt(153)\/(sqrt(9) - sqrt(9)*-1) + (5 + -2 + sqrt(17)*-1)*2.\nAnswer: -3*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 18822729?\nAnswer: -1\/18822729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65625 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 718957.218 + -0.4.\nAnswer: 718956.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501242?\nAnswer: 2, 7, 35803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/9)*l)\/(l*l**(-11)))**45*((l*(l*l*l*l*((l*l*l\/(l*l**8))\/l)\/l*l*l)\/l)\/l)\/l*l*l*l**(-1\/8)*(l\/l**(-6))\/((l\/(l**9\/l*l*l))\/l) assuming l is positive.\nAnswer: l**(4239\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 945 a factor of 7426755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + h. Suppose 2*r - 69 = -5*c - 8, -4*c = 2*r - 48. Let s be (10 - c)\/(-1 + 4). Let l(q) = 3*q**2 + 2*q. Calculate s*l(b) + 2*j(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 142074 and -6?\nAnswer: -852444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -3609, 2994 in descending order.\nAnswer: 2994, -36, -3609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2573384 = 3*p - 4*a, -17*p + 18*p - 857780 = 5*a. What is p rounded to the nearest ten thousand?\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0*l)**(-1\/6)\/(l**(2\/3)\/(l*((l*l**(-1)*l)\/l*l*l)\/l)))**(-18) assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k - 6. Suppose 0 = 4*q - k*q - 30. Suppose -2 = -2*u + 2. Solve -u*w + q = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -267422 - 4?\nAnswer: -267426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1100 + 2630 = 3*q, -2*q - 612 = -2*z. Suppose 10*x - 12*x = -z. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41300000 rounded to the nearest 1000000?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.5 (c) -4\/4019 (d) 0.4 (e) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = -11*p. Let u(w) = w**2 + 14. Give u(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -194\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3 - 1\/2*h**4 + 1\/2*h**2 + 0 - h = 0. Calculate h.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2053 or 0?\nAnswer: 1\/2053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = k + 5. Suppose 0 = -0*z + 2*z - 5*a + 6, -2 = -5*z + k*a. Solve 5*s - 2*n + 2 = 0, 2*n - z = s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {i: 1, f: 4, g: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(363)*4 - 5*(2 + sqrt(363)))**2 - (-2 + sqrt(363) + 0 + (sqrt(363) - sqrt(363)*3)**2*5).\nAnswer: 1969*sqrt(3) + 22245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + y + 51, 0 = 4*l - 4*y + 2459 - 2547 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2*5 - sqrt(76) - (0 + sqrt(76)*3))*-5*-1.\nAnswer: -140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2179274964 to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 + 12*t + 18. Let h be f(-12). Let o = h - 414. What is the least common multiple of o and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 46. Is 93 - 1 - (b - 4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158 - -1108\/7. Let p = -50 - 55. Let d = 104.9 + p. Which is the nearest to 0? (a) d (b) x (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/106 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 127139286 divided by 21189881?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 352655 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72333 at least as big as 820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + o + 2. Let b(z) = -3*z**2 + 2*z + 3. Let d be 24*(-9)\/(-432)*6. Determine d*b(k) - 5*y(k).\nAnswer: k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*q = -13, -5*q = -0*q - 20. Is 2\/107 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1829 divided by -250?\nAnswer: 1829\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/4 + 9\/4. Which is the closest to 0? (a) -5 (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 68797117?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 41*h - 109. Let a be z(-44). Suppose -2*c - 130 = -6*y + y, 5*y = -4*c + 100. Is y greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 419598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -16, -3.\nAnswer: -16, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*u + 6. Find the third derivative of 5*w**2 + 77*w**3 - 77*w**u + 2*w**4 wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -19*f**2\/2 - f - 4. What are the prime factors of a(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -34502?\nAnswer: 34512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 0.2, 2\/87 in decreasing order.\nAnswer: 6, 0.2, 2\/87, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/12 + (-21240481)\/3850260. Let z = -2\/64171 + g. Let a = -141033\/22 + 6415. Calculate the common denominator of a and z.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sseeoesseseoee. Give prob of picking 1 o and 1 e.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(15)*3*2)\/(2*sqrt(180) + sqrt(20)).\nAnswer: 3*sqrt(3)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1230*b = 805*b - 56170 - 15055 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 373191, 373188, 373185, 373182, 373179?\n\"Answer: -3*y + 373194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 - 16*i**2\/7 + 46*i\/7 + 60\/7.\nAnswer: -2*(i - 3)*(i + 1)*(i + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Simplify (t\/t**(-41))**50 assuming t is positive.\nAnswer: t**2100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*k + 6 - 18, 0 = -5*p - 3*k + 26. Suppose 3*r - r = p. Suppose 3*s = -r*s. Which is the second smallest value? (a) 0.2 (b) s (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/39)\/(-2)*-2. Sort 1\/2, z, 1\/4.\nAnswer: z, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*v + 5*q = -105*v - 12, 3*v - 5*q + 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from gfaje.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -34 + 74 - (-1 - 2*11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3, 5*h - 109*j = -107*j + 44. Let o(q) = -q + 6. What is the least common multiple of o(-10) and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 - 12323?\nAnswer: -12255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 18*j + 8. Let t(n) = -17*n - 4. Let z(s) = -34*s - 9. Let y(r) = 5*t(r) - 3*z(r). Let l(d) = 3*c(d) - 4*y(d). Is l(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 3583582*d**3 - 1426894753728*d**2 - 189384447643625472*d + 126256932605591552.\nAnswer: -(d + 398176)**3*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-66))\/((-7)\/(-14))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*u - 209*u = -21. Let d = 37 + -14. What is the third derivative of 7*o**u - 7*o**3 - d*o**2 - 16*o**6 wrt o?\nAnswer: -1920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3882 (base 10) to base 16.\nAnswer: -f2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 1\/120*s**6 + 1\/6*s**3 + 10 - 2*s**2 - 1\/24*s**4 + 0*s - 1\/60*s**5. Let w(h) be the second derivative of y(h). Factor w(f).\nAnswer: (f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**4 - 14*b**4 - 2 - 8 + 4 with respect to b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15536520 divided by 50280\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 11*l**4\/24 - 11*l**3\/3 - 31*l**2. Differentiate a(k) wrt k.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -27*k**2 - 1. Let i be q(2). Let u = i + 159. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**2*h**3 + 63*a**2*h**2 - a**2 - 9*h**3 wrt h.\nAnswer: -42*a**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1212*h**2 - 2*h + 27223?\nAnswer: 2424*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Let x be i\/5 - (-16)\/10. Calculate the common denominator of 97\/6 and (-27)\/(-60)*(-5)\/x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1 in descending order.\nAnswer: 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 25 - 40 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c293a (base 14) to base 4.\nAnswer: -1302111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.34 less than 790.572?\nAnswer: 791.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 1. Let n be l(1). Suppose -2*d + 5*s + 25 = 3*d, -d = 5*s + 13. Let x = 0 + d. Solve -x*u + 8 = n*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 125b + 40?\nAnswer: 129b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122211 (base 3) in base 15?\nAnswer: 55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45495688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -48. Calculate the remainder when r is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/6 + (-1)\/(-6). Solve -f = -0*f + 5, 19 = 2*a - t*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2403e - 1a7?\nAnswer: 23d87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/6)\/((-4)\/6). Let p be ((0 - -1)\/(-5))\/1. Which is the third smallest value? (a) -0.4 (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 12. Calculate the common denominator of ((-12)\/i)\/((-15)\/29) and (3\/12)\/(10\/(-138)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**6*y**2 - 339*u**4*y**2 + 6*u**2*y**2 - 48*u + 2*y**2 wrt u.\nAnswer: 120*u**3*y**2 - 8136*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 16883578742.9.\nAnswer: 16883578742.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 12*q + 10. Let z(y) = 6*y + 5. Let f(a) = 6*n(a) - 11*z(a). Let c(u) = u + 1. What is 4*c(h) - f(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -6*d + 8*d - 6, -3 = 3*l - 3*d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajn when three letters picked without replacement from {j: 1, n: 1, a: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -89100000 rounded to the nearest 1000000?\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 108176 + -4968?\nAnswer: 103208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -719 + 723. Suppose 2*p + 2 = t, 10*p - 8*p + 2 = -g*t. Factor 0 + 3\/2*i**3 + t*i + 3\/4*i**2.\nAnswer: 3*i**2*(2*i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04 times 0.1?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -64*o + 4*o**3 - 2037*o**2 - 6*o**3 + 2011*o**2 - 40 = 0?\nAnswer: -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a gram in milligrams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 445714 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*y + y**4 + 39*y + y**2 - y**2 + y**4 + (-251 + 77*y**2 + 251)*(-y**2 - 3 + 3).\nAnswer: -75*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40479*-0.08.\nAnswer: 3238.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = 2*d. Let y = d - 0. Sort 3, 2, y in ascending order.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12318, 12327, 12336, 12345, 12354, 12363?\n\"Answer: 9*l + 12309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 12. Let w = 34547\/14 + -2474. Find the common denominator of w and 2\/c + 1016\/560.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007356 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + z + 5. Let d(a) = a**2 - 6. Let p(y) = -3*d(y) - 4*u(y). Let l = -2 + 7. Let n be p(l). Calculate the greatest common divisor of 9 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63.16 - -0.84. What is the second smallest value in -0.4, 0.2, q, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -13 (b) 3\/5 (c) -1.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddrrqrrrrqdr. Give prob of picking 4 r.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97.06 - 97. Let r = -33 - -33.5. Which is the closest to 0? (a) -4\/3 (b) r (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -534 at least -534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1750?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**2 + 8*d**2 + 39*d**2.\nAnswer: 61*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.33682851 rounded to 3 dps?\nAnswer: -24.337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-4 - -5 - 1))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y + 115 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 4. Suppose 3*c = 3*h - 9, 4*h + 0*h - c = 15. Let o(i) = -i + 1. Let y(n) = h*o(n) + j(n). Let p(l) = 4*l. Determine y(p(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 4 (c) -1909 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {x: 1, y: 1, c: 2, q: 1, u: 1, d: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 2*c - c**2)*((0*c + 0*c + c)*(-2 + 0 + 0) - 5*c + 4*c + 6*c - 5 + 5 + 9*c) as v + m*c**2 + n*c**3 + j*c and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 2 - (-4 - (-10)\/3)*12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87255 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 = 3*r - 5*f, 5*r + 443 - 2593 = 12*f + 31*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w + 36. What is the remainder when w is divided by ((-6)\/1)\/((-3)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - i + 11*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4*2)\/((-9)\/32*-12)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -163377 + 163377.4. Let v(t) = 2*t**2 - 3*t. Let q be v(2). Which is the second smallest value? (a) q (b) 0.5 (c) -1.2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -14*u + 22. What is x(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 26*t - 162. Let s be c(15). Solve 3*z - 1 = -5*h, s = 5*z - 3*h - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -73871432\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.095 in -2, -5, -1, 78?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i**3 - 3*i**2 + 4*i - 5. Calculate the remainder when s(2) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*d - 127 = 673 - 114 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3661 minus -99127.491?\nAnswer: 95466.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 6*y**3\/7 - 153*y**2 + 45813*y\/7 - 66330\/7 = 0.\nAnswer: 3\/2, 67, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 7*k**4\/3 - 119*k**3\/3 - 192*k. What is the second derivative of a(y) wrt y?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11625817?\nAnswer: 7, 641, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w - 13. What is the remainder when (2 + 1)*31\/3 is divided by f(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8275 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7433*q**2. Let c(y) = 46*y. Give d(c(m)).\nAnswer: -15728228*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*k + 66, 2*k + 122 = 2*v - 2*k. What are the prime factors of v?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 216*r**2 - 435*r + 1162. Give b(106).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33546302197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 47, 52, 57, 62, 67?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.9, 1, 0.4, 6, 0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 5*i**2 - 5*i - 1. Let l be f(-5). Let r be 256\/l*127\/(-6). Let h = r - -226. Which is the second biggest value? (a) -5 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 3:29 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 14 = -m. Let b(j) be the third derivative of 0 + 0*j - 19*j**2 - 5\/6*j**3 - 1\/24*j**4. Give b(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:33 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Let g(b) = -b**2 + 4*b - 3. Let q be g(t). Is q\/(-4) - (-500)\/16 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.2, -0.1, -1, 1\/5.\nAnswer: -9.2, -1, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:56 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 11:17 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71.6 + -66.6. What is the closest to -1\/4 in 27, 0, s, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -0.13 (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**5\/80 + 71*t**4\/48 - 457*t**3\/24 + 385*t**2\/8 - 282*t. Factor q(s).\nAnswer: (s - 5)*(s - 1)*(s + 77)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2627456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 14*b**2 + 24*b + 8. Let w be y(-12). What is the greatest common divisor of 136 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1998202.8096 - 1996831. Let d = v - 1314.81103. Let o = d - 57. What is o rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 295 + -295.262. Let m = -0.968 + i. Let o = m + 0.23. What is the nearest to 0 in -5, 2\/19, o?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -296.367 - -296. Let o = 0.133 - m. Sort -1, -2, o, 0.02 in descending order.\nAnswer: o, 0.02, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j - 1. Let n(y) = 7*y + 2. Suppose 5*u + 3 = 4*i, 5*i - 112 = -5*u - 142. Let h = 10 - 14. Let g(b) = h*o(b) + u*n(b). Give g(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:29 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceeieececeeeezeizece. Give prob of picking 2 e and 1 z.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 4200.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in 4, 2, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 5*s - 3. Let y be p(-2). Suppose -5*g - v + 149 = 3*v, 0 = -y*g + 3*v + 111. What is the highest common factor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*g - 56 = 0, 0 = -b - 4*b + 3*g + 74. Let r = 3 - 1. Suppose r*k - 12 = -k. What is the smallest common multiple of b and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -1 - sqrt(76))**2 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47648 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 + 0*h + 0*h. Let t(q) be the first derivative of q**2 - 2 - 1 + 4. Calculate t(a(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c - 23 = -23*c + 2*d, d = 3*c - 49. Suppose -p + 2*j - 16 = -2*p, 5*p - 69 = j. Suppose 2 = 4*r - p. What is the remainder when c is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -344280 (base 10) to base 4.\nAnswer: -1110003120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 46*u**2 - 147*u + 3. Let f be t(-49). Solve -15 + 6 = -4*d - f*a, -3*a - 15 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 466 and 250.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 517\/(-35) + (18 - 21720\/1400 - (-128)\/(-56)).\nAnswer: -102\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 14. Suppose 5*h - 55 = -3*p - 9, f*p + 3*h = 30. What is the remainder when p is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 - 156 - (13 - (-8 + 3)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 936 and 52677.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 134915.8 rounded to the nearest 1000?\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**2*c**2 - 2*b**2*c - 42*b*c**5 + b*c + 465*b wrt c.\nAnswer: 10*b**2 - 840*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-5\/11)\/((m**(2\/9)*m)\/m)**(-1\/12)*(((m*m*m**(-1\/3))\/m)\/(m\/(m*m\/(m**(-9)\/m)*m)*m))\/(m**2\/(m**(-1)\/m)) assuming m is positive.\nAnswer: m**(415\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 599 - 623. Let x(g) be the third derivative of g**5\/60 + g**4\/4 + 2*g**2. What is x(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, -10, -50, -90, -130, -170?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c4 + 3?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 88*v = -83*v - 9, 10 = -3*m + 4*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 737*w + 22. Is a(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125 - 1276. Is ((-2)\/(-6))\/(-4 - 5605\/r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.042 + 18.958. Which is the third biggest value? (a) 0 (b) 1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-6)\/(-4))\/(6\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 8, -5, -227947, -2 in decreasing order.\nAnswer: 8, 5, -1, -2, -5, -227947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + a + 4. Let r be h(0). Suppose r*x - 5*q = 27, 4*q - 10 = 5*x - 37. Find the third derivative of -x*u**2 + u**2 - 2*u**6 - u**6 wrt u.\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + w. Let z(c) = -34*c - 2. Let y(s) = -6*a(s) + z(s). Calculate y(-5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x - 38. Let m be i(29). What is the highest common divisor of m and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8352)\/108 - (9 + 292\/(-12) - -12).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1419 - 1336. Is 0 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1928)\/3615)\/(52\/5)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.92 + -1. Let s = 1.061 + 0.019. Let w = s + q. Which is the smallest value? (a) -8 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530866 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-8) - 6\/(-8). Let j be -3*(8\/6 + s). Suppose 0*u + 240 = j*v + 5*u, -2*u - 10 = 0. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 4a03?\nAnswer: -4a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*(((-465)\/(-21))\/5 + -3). Find the first derivative of o + 37 - 15 + 27*w**4 wrt w.\nAnswer: 108*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.1 and -0.519.\nAnswer: -4.2039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*r + 2*r - 2, 3*o = 5*r - 31. Let m(f) = -f - 2. Let d be m(o). Solve d = -4*p - 2 + 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-2) - -2 - -7. Suppose -5*g = -4*h - 220 + 1643, -10 = -t*h. What is g rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 13. Let g be t(6). Is (-319)\/2*(-2)\/g - -2 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 532, 1087, 1658, 2245, 2848?\n\"Answer: 8*t**2 + 531*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25 and 189694.\nAnswer: 189719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30970 - -17?\nAnswer: 30987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-21) - 18\/21)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, 5, -17 in increasing order.\nAnswer: -17, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 4*j - 4*a, 107 = 5*j - 2*a - a. Suppose -4*h = -5*k - h + j, 13 = 5*k - h. What is the least common multiple of 502 and k?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 8*c = -6*c. Solve -4*u + m = 4, c*m + 12 = 2*u - 4*m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13464 and 40320?\nAnswer: 7539840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 6*u**2 - 3. Let b = -603 - -609. Determine s(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzu when three letters picked without replacement from ekzzfruurkrzez.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in -175\/3, 3, -10, 1\/62?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 190956328 to the power of 1\/3, to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*f + 36*f + 26. Does 19 divide 4*f\/(-44) - (-8112)\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d484d (base 15) in base 2?\nAnswer: 101011101110100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28284413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + 11*m**3 + 4*m**3)*(2 + 7*m - 2).\nAnswer: 84*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c505 (base 13) in base 8?\nAnswer: -244560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 282785*p**2 + 102. Let j(y) = -y. Calculate j(c(r)).\nAnswer: -282785*r**2 - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 4, p: 14}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/16 and -55\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2394684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 215*j**2*o**2 - j**2*o - 9716*o**2 wrt j?\nAnswer: 430*j*o**2 - 2*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -548*(-16)\/(320\/285)?\nAnswer: 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -489*g**3 + 2*g + 6 + 25*g**2 - 24*g**2 + 581*g**3 to c + q*g**3 + y*g**2 + l*g and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 72189.47um?\nAnswer: 0.00007218947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1 (c) -0.7 (d) -7\/6 (e) 0.4 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-12)*l**(7\/2)*l)\/(l\/(l*l**(2\/7))*l**8) assuming l is positive.\nAnswer: l**(-213\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*o - 57 + 57)*(-3*o + o + 0*o)*(2*o**2 - o**2 - 2*o**2).\nAnswer: 40*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Let p(k) = 0 + 4*k**q + 0 + 1 - k**2. What is p(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0 - 5 + 2 + 2 + (2 - 3 + 4)*(2 - 5 + 4))*(0 + 0 + 2*d**3).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3558340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 9*g + 9. Let z(m) = m**2 + 29*m - 38. Let a be z(-30). Give o(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4947.\nAnswer: 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*b - 11, 0 = b + b + 5*r - 19. Let h(q) be the first derivative of 1\/3*q**3 - 1\/2*q**b + 3 + q. Calculate h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006853701 rounded to four dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*s, -3 - 5 = -2*y - 2*s. Let z be 1\/(6\/8)*y. Suppose 28 = 8*n - z*n. Let p(g) = g**2 - 8*g + 4. Determine p(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -932a25?\nAnswer: -932a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 - 0.04. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -347 - -355. What are the prime factors of (-18)\/(-2) - s - -2*347?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254 (base 6) to base 2.\nAnswer: 1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*a + 107 - 59 - 50 + 28*a in the form j + z*a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10778 is divided by 1346?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 10000011001110010001010?\nAnswer: -10000011001110010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3438 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184\/(-621)*-9*3\/14?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + -7 - -1 - (-12 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -1.1. Let k = -35 - -34.55. Let z = 0.05 - k. Which is the nearest to 0? (a) 0.2 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, d: 5, z: 1}. What is prob of picking 1 d and 1 o?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/6)\/((-14)\/(-21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -154, 0.2, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14546858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*f + 846 = 0, f - 3 = -0*f. Find the common denominator of (-1570)\/n + 128\/224 and 14\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -355\/3162 - 1\/186. Let h = 0.2 + 0.1. Let q = 57 - 57. What is the closest to q in l, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 12*p + 22 + 55 = -3*p, 6*p + 21 = 10*p - 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/105 + 1138\/(-660) and 43\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1995219 divided by -27\nAnswer: -73897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8)\/(7\/21*-9)*8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 1:58 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(9))\/(sqrt(33)\/sqrt(44)) - ((-4 + sqrt(192) - sqrt(192))**2 - (1 + sqrt(3) + -4)))*6.\nAnswer: -114 + 102*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 21\/1846952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f - 18. Suppose -64*v - 65 = 4*l - 59*v, -5*l + 2*v = 7. Let u(a) = 2*a + 9. Let i be ((-3)\/1)\/(2 - 1). Calculate i*m(k) + l*u(k).\nAnswer: 2*k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1052879939, 2105759877, 3158639815, 4211519753, 5264399691?\n\"Answer: 1052879938*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*95\nAnswer: 47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -66 + -1b0?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n = 526 + 30 + 354 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35243?\nAnswer: 13, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4802648, 4802640, 4802632?\n\"Answer: -8*k + 4802656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6157154 to the power of 1\/2, to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-33)*(-2040)\/238\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*g**2 - 657*g**2 + 34 - 34 as z*g**2 + l*g + y and give z.\nAnswer: -836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8798345984 + -363\nAnswer: -8798346347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 7181*g - 7183*g + 24 = 0, 39 = u + 2*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61839765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 11*w**3 - 5*w**2 - 7*w + 3. Let a(k) = -k**3 + k - 1. Let n(g) = 3*a(g) + m(g). Let f(j) = -j**3 + j**2 + j. What is 4*f(t) + n(t)?\nAnswer: 4*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 10*c = -3*x + 13, -x - 2*c = -7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11112 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-4 - 1 - (-1 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8637 - 5225. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1026, 4089, 12438, 28725, 55602, 95721?\nAnswer: 151734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqwikzm. What is prob of sequence qmzm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3839732 and 656?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*p + 58, 2*g - 37 = -p - 2. What is the lowest common multiple of 2264 and g?\nAnswer: 20376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 37 + 31. Solve 0 = -3*h + x*j + 3, 0*h + 4*j = -2*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -153 - -45. Suppose 0*p + 3*p - 134 = 4*c, 0 = 2*c - 4*p + 72. Let d = c - l. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 338017523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 4*j**3 - 13*j**3)*(3 - 5 + 1)*(-3 + 3 - 1).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 39. Let b = s + -22. Let o = -4 - -3. Sort 3\/2, o, b in increasing order.\nAnswer: b, o, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17965809 to the power of 1\/2, to the nearest integer?\nAnswer: 4239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-72))\/((1\/9)\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -135*f + 55. Let i(x) = 5*x - 2. Let k(d) = -55*i(d) - 2*u(d). Let a(j) = -2*j**2. Give a(k(o)).\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/(9\/((-1053)\/(-26)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.826 + -8240312.\nAnswer: -8240275.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/3 and -2\/3986897.\nAnswer: 11960691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 25*x**2 + 55*x - 13. Calculate the remainder when j(23) is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546 - 2*d - 553 + 163*d**2 - 7*d**2 + 1664 - 565.\nAnswer: 156*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58894 is divided by 14719?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 20 = -2*f, -f + 18 = 4*f + 2*g. Let w be (-37)\/(-7) - (-30)\/(-105). Suppose -10 = w*m - 10*m. Solve 0 = f*q + 3*u + 13, -2*u + m = q + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 16. Calculate r(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g - g**2)*(24 - 24 + 9*g + 4 - 4 + 2*g + (1 - 4 + 1)*(13 - 13 - 14*g)) + (3 + g**2 - 3)*(g - 1 + 1).\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 13*m + 12. Let k be t(12). Put 23, k, -2 in decreasing order.\nAnswer: 23, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 510.6+-0.062\nAnswer: 510.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 54305014 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 5*l**3 + 1 - 2 - 3*l**3 + 2*l to y*l**2 + b*l + c*l**3 + j and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 + 14 + -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 84.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, -5, 0.072, 4, 2\/761?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 2:41 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 2*a - 118 + 118.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483 + 26826*y - 164 - 159 - 160.\nAnswer: 26826*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 25, 8, 11, -15, -1 in decreasing order.\nAnswer: 25, 11, 8, -1, -4\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - -55)*(-2)\/6. Let b = u + 16. Let s be (8\/30)\/((-10)\/(-15)). What is the closest to b in -2\/17, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - (305\/(-30) - -4). Which is the smallest value? (a) 2 (b) 5\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 + s + 84. Let m(i) = -2*i**2 - i - 42. Give -5*m(b) - 3*o(b).\nAnswer: -2*b**2 + 2*b - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 24. Suppose -2*b = -2*y + 70, -2*y + b + o = -63. Suppose 49 - y = 3*r. Which is greater: r or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42\/17 (b) -5\/2 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*y**3\/5 - 7232*y**2\/5 - 19054*y + 30180 = 0. What is y?\nAnswer: -503, -15, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Suppose 0*u - f*u + 153 = -3*n, 38 = -n + 5*u. Let r = 78 + n. What is the remainder when 48 is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:18 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2754\/(-72))\/51)\/((-2)\/16*-5)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 680 and 408.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s. Let f(k) = 11*k**2 - 2*k + 2. Let b(i) = -81*i**2 + 15*i - 15. Let n(g) = 4*b(g) + 30*f(g). Calculate n(r(y)).\nAnswer: 486*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 0 + 7\/6*c**3 + 2*c + 0*c**2 - 2\/3*c**4. What is the second derivative of r(n) wrt n?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19591 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**2 - 1\/3*y**6 + 14\/3*y**3 + 55\/7*y**7 + 0*y**4 + 25 + 0*y + 0*y**5. Find the third derivative of v(b) wrt b.\nAnswer: 6600*b**3 - 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = 2*l, 4*l + 10 = 3*v. Suppose -v*u + 6 = -u. What is the second derivative of u*f - 2*f + 0*f**5 + 3*f**5 wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 - 22*l**2 - 2*l**2 - 1 + 32*l + l**4 - 11.\nAnswer: 4*(l - 1)**3*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/(494\/(-95))*4\/(-10). Sort 29, 5, -1, a in ascending order.\nAnswer: -1, a, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42.2 - -44.8. What is the smallest value in -1, w, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596233*d**3 - 298048*d**3 - 298142*d**3.\nAnswer: 43*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 576?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135675 is divided by 5653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -7*r**8\/4 + r**4\/6 - 29*r**3\/2 + 4*r - 11. What is the third derivative of g(n) wrt n?\nAnswer: -11760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/40 and -25\/852?\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -77. Let u(f) = f**2 - 5*f - 1. Let k be u(6). Suppose -n*c - k*z + 4*z + 28 = 0, -5*z = 4*c - 52. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1557 = -3*m, -3*s + 338 - 2414 = 4*m. Is 2 a factor of (-1)\/((-6)\/m*(-6)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21987 and 49820099.\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 136 = 13*u - 4 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-4)*80\/35. Suppose -c + w = -82. Let l be (-1885)\/(-104) + 1\/(-8). What is the highest common divisor of c and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.419*13\nAnswer: -5.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 36 = -44. Suppose 2*y = 4*x - t, 5*y - y + 8 = 0. Which is the biggest value? (a) x (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/330 + w**4\/132 - 2*w**3\/33 + 6*w**2. Factor j(q).\nAnswer: 2*(q - 1)*(q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*a. Suppose a = -5*j - 4 - 6. Is -3 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -219, 5, 2 in descending order.\nAnswer: 9, 5, 2, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - c**3 + c**3 + (-4*c**3 + c - c)*(1 + 1 - 3))*(-6*c + 15*c - 7*c)*(-2*c + 2 - 2).\nAnswer: -20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*c + 5*c - 194892. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38*28317\nAnswer: -1076046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7335 and 33585?\nAnswer: 16423065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99348*k**2 - 385764*k?\nAnswer: 198696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17106 + 17105. Which is the fourth biggest value? (a) 3\/32 (b) v (c) 0.4 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.068 + -125.068. Let i = w + 136. What is the nearest to -3 in -5, -0.3, i, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1053021.4\nAnswer: -4212085.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 + 10*b - 198. What is d(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90354922 divided by -7.\nAnswer: -12907846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -6124.\nAnswer: -1\/6124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 7:01 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:27 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 6 + 1\/10*v**4 + 2\/25*v**5 - 2\/15*v**3 - 1\/5*v**2 + 0*v. Find b such that t(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 18. Let b be (-2 - v) + 0 + -1. Suppose 0 = -b*g + 2*g. Solve -5*c - q + 24 = 0, -q = -5*c - g*q + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 o when three letters picked without replacement from {w: 7, o: 1, i: 3, y: 2, l: 7}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 132 = 40. Let b = -51 - y. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8084.5 + 8080.5. Let u = 1\/206 + 256\/309. Does u = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3 and -81\/1802?\nAnswer: 5406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3900, -3903, -3908, -3915, -3924?\nAnswer: -3935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 4. Let g = 4 + k. Suppose -3*r = 3*n - 27, g = 4*n + 1 - 5. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.7 - -46. Put v, -3, -2 in descending order.\nAnswer: v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100320 (base 4) in base 5?\nAnswer: -13310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = 607 - 2137. Calculate the greatest common factor of 102 and w.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 8 = 4*b, 3*b - 5*f = -0 + 23. Let x = 2 - 2. Suppose 2*v - 22 = -x. What is the least common multiple of v and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9134*k**3*m + 605*k**3 + 2*k**2*m - k**2 + 14*k*m - 3*k - 2047*m + 88 wrt k?\nAnswer: -54804*k*m + 3630*k + 4*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + 2*z**3)*(102*z - 3 - 21*z + 3).\nAnswer: 162*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9836010.14 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 1:25 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9130 = -4*a, 0 = -2*a - 4*s + 7*s + 4545. Suppose 12*n + 2*z + a = 14*n, -5*n + 5709 = 4*z. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-26) - (-123)\/39.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -0.151 (c) -19 (d) 3\/5 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*j = -6*m + 130, m = 5*j + 56. Let x = m - 29. Solve 9 = 3*o - 5*q, -x*o = -3*q + 7*q - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22 (b) -5 (c) 1\/3 (d) 11 (e) 1\/540\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**2 + 13*a - 1. Let z(c) = c**2 + 9*c + 10. Let t be z(-8). Let y(l) = l**2 - 4*l. Calculate t*r(j) + 7*y(j).\nAnswer: -j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/52 + -8\/13. Suppose 2*s = -7 + 17. Which is the third biggest value? (a) s (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -2. Suppose 2*f = s*f. Let n(l) = -l**2 - 5*l + 6. Let h be n(-5). Solve f = h*y - y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + 210 = -27*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14.73? (a) -1\/6 (b) -3 (c) 2\/929\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(((-1953)\/24)\/7)\/((-24)\/32)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -98342\/3 at least as big as -32780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {t: 2, u: 3, y: 2, b: 3, v: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 277713408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -8. Suppose 3*i = w*b - b + 2, -5*i + 8 = -2*b. Factor -u**4 - 100*u**i - 8*u**2 - u**4 + 24*u**3 + 216*u - 162.\nAnswer: -2*(u - 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49313 * -122.\nAnswer: -6016186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 0*p - 2*p - 6. Let z(x) = -x**2 - 16*x + 5. Let i be z(0). What is b(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -66*f**3 - 2*f**2 + 386*f. Let n(y) = -199*y**3 - 5*y**2 + 1157*y. Let d(p) = 4*n(p) - 11*w(p). Find the second derivative of d(g) wrt g.\nAnswer: -420*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/7176 and -103\/12?\nAnswer: 7176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 8\/7, 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*a**4 - 2*a**2 + 5*a**2 + 2*a**4 + 8*a**4 wrt a.\nAnswer: 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10639 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -3. Let w(n) = -7*n - 10. What is the least common multiple of w(-3) and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3) + -3 + 38 + -75 + 42.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s. Let b be x(-3). Let i be (1*(-21)\/(-14))\/(6\/104). Suppose i = b*l - 4*g, -2*l - 10 = -g - 29. Solve 10 = -5*a - l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 423 + -400. What is the remainder when 528 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**7\/105 - r**6\/120 - r**5\/12 - r**4\/12 + 6*r**2 - 1. Determine w so that v(w) = 0.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -53b772a?\nAnswer: -53b7725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c + 3*p = 55*c - 291544, 28 = 4*p. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-858782)\/((-10)\/(-40)*-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -417 - -422. Solve -q + n*q - 4*y = -20, -3*y = 5*q - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -1\/12*z**4 + 12*z + 5\/6*z**3 - 3\/2*z**2 - 1. Give m(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**6\/24 + 23*u**5\/12 - 65*u**4\/12 - 40*u**3 - 19*u**2 - 1. Find f, given that l(f) = 0.\nAnswer: -24, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1784520965\/1388 - 1285678. Calculate the common denominator of h and -17\/10.\nAnswer: 6940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 9 = -14*f. Solve -f = 3*a - 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 2. Let u(g) = g**3 + 12*g**2 - 12*g + 10. Let k be u(-13). What is p(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9345 and 2136.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * -59.\nAnswer: -2360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - b - 1 = 0, 4*r + 13 = 3*r + 3*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11592.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**3 + 2*n**2 + 3*n + 3. Let v(c) = -17*c**3 - 5*c**2 - 6*c - 7. Let t(y) = -7*g(y) - 3*v(y). What is t(-3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 + 19*g**2 + 14*g + 11. Let h(l) = 2*l**3 - 10*l**2 - 7*l - 6. Let w(o) = -5*h(o) - 3*m(o). What is the remainder when w(-7) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267908\/3*((-18)\/44)\/(102\/(-187)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 8\/31, -5, 0.6, 3, -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2410 is divided by 85?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkyuvyeubuuuv. What is prob of sequence by?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/2 - 3)*0. Let b = j - 9. Let m be ((-3)\/b)\/((-2)\/(-6)). Let c(l) = l**2. Let u(s) = -2*s**3 + s. Give m*u(y) - 2*c(y).\nAnswer: -2*y**3 - 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/8)\/((-1)\/10). Let w be 12*-2*5\/20. Let a be w\/9 + -3 + 4. What is the second smallest value in -2, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6664 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.312 - 0.312. Let v = i + -1.95. Put v, 10\/7, -3\/2, 3 in descending order.\nAnswer: 3, 10\/7, v, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77467 and 40703?\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:46 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 1881972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 10:57 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - (-1085)\/21. Suppose 0 = 3*j + 13 - 193. Suppose -j = -4*f + p. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 185967960*y - 1729204107328080.\nAnswer: -5*(y + 18596796)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**3 - 2*p**2 - p + 4. Let s be l(-2). Let w = s + 92. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -10.9. Which is the nearest to m? (a) 5 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7139.73346 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289193475.\nAnswer: 3, 5, 3855913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 357936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 68*w**2 + 3746*w - 11491. What is f(-58)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -11\/24*v**4 - v**3 - 79 + v**2 + 0*v. Let b(p) = -p. Determine b(k(j)).\nAnswer: 11*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440 and 10?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*0.2\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - c**2 + 2*c + 3. Suppose -m - m = 5*o - 21, 3*m - 4*o = -26. Let h be w(m). Suppose p = h*a - 1136, 0 = 5*a - 8*a - 4*p + 1111. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzxyzzkzlzd. What is prob of picking 1 x and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glgl when four letters picked without replacement from {g: 8, l: 5, s: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/15)\/((-1)\/15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 13 = 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110 or -6281?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -565 - 792 - 1379 = -72*b. Solve 40 - b = x + 3*w, 3*w = -3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 55 - (1175 - 1209).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 26091, 25982, 25873?\nAnswer: 25764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -208 - 10 + 272*j**2 - 19 - 4179*j**2 wrt j?\nAnswer: -7814*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/72)\/((-15)\/(-12))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -15. Suppose 7*d - 3*d - 16 = 0. Find the third derivative of 5*v**2 - v**2 + n*v**d + 5*v**4 - 4*v**4 wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (3 + -2)*-2. Suppose 5*z - g = 3*c + 20, z = -3*c + 1. What is the tens digit of (-483)\/(-28) - c\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*a + 27, l + 37 - 34 = a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17230 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*(-6)\/72*3. Solve 0 = -s*a - 6 + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.74608 to 2 dps.\nAnswer: -20.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32279 - 31821. Solve -445*b - 39 = -w*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 16 = 4*x - 0*f, 0 = 5*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66104 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9661114 + -2.\nAnswer: -9661116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**4\/12 + 76*w. Let l(u) be the first derivative of 2*u**2 + 2. Give i(l(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*8*(-3)\/14. Suppose -v = -3*t - t. Suppose -2*f + q + 4 = t*f, -4*q + 3 = -f. Solve k = f + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1876, -1, -5, 1, 0 in descending order.\nAnswer: 1876, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 16125429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -65*i**3 + i**2 - 16*i + 7. Is n(-4) a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 + 2901. What are the prime factors of a?\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 52.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 163001831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*r = 5*t + 130, -t + 2*r = 125. Suppose 3*z = m - 224, 5*z + 13 + 12 = 0. Let o = t + m. Calculate the remainder when o is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - 939*d + 950*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2643 + 7629. Let h = t - 8044. Let q = h + 15237\/5. Find the common denominator of -10\/11 and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8522 divided by 2?\nAnswer: -4261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1564, -3128, -4692?\n\"Answer: -1564*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwrwrw?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 5*z**2 - z - 3. Let n be a(3). Let h = 6 + n. Let f = 188 - 186. Calculate the highest common factor of f and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7592603 millennia in years?\nAnswer: 759.2603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 3:53 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -132 + 132 + 2*-1. Let b(r) = -r**2 - r + 6. Let l(n) = -3*n**2 - 3*n + 13. What is d*l(k) + 5*b(k)?\nAnswer: k**2 + k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 104448.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-25) - ((-1290)\/75 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 + 207*w**3 + 273*w**2 - 13295*w - 46800.\nAnswer: -(w - 208)*(w - 9)*(w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3440*d + 3467*d + 3500*d - 13756*d + d**2 + 3429*d.\nAnswer: d**2 + 80*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {a: 13, z: 6}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 23 = 5*l, 4*q - 35 - 3 = 2*l. Suppose q*f = 8*f + 620. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 686647?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c - 10 = 0. Suppose h = -c + 7. What is the second derivative of 2*t**5 + t + 2*t**5 + t**h wrt t?\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.807 - 4.837. Let q = -0.03 - s. Which is the second biggest value? (a) q (b) -1\/6 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -717 + 3667. Round w to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18.073719 milliseconds?\nAnswer: 0.0000002091865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158131 is divided by 1106?\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -16*g**2 + 24*g - 42. Let j(h) = 11*h**2 - 16*h + 28. Let f = -14 + 7. Let v(l) = f*j(l) - 5*d(l). List the prime factors of v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 29*a + 19085 = -24*a, -2*a - 3829 = -f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3333714 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 9770?\nAnswer: 97700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3204 by 267.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 12255825659612?\nAnswer: -12255825659612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225131 and 68306?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 1 + (0 - -1). Let n = 1459 - -609. Suppose 5*w - 2*x = 2585, j*w - 3*x = x + n. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6141 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 519120 and 0.\nAnswer: 519120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 8*m = 7*z - 178050, -2*z - 4*m = -50862. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 24585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-860)\/(-40) + 3\/6. Calculate the remainder when r\/(-187) - ((-9728)\/34 + 3) is divided by 96.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h\/((h\/(h**(-2\/103)\/h))\/h*h)))\/h))**(-1\/3)*(h**(-38)*h)\/(h\/((h\/h**(-47))\/h)) assuming h is positive.\nAnswer: h**(2783\/309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -65\/4 (b) -0.5 (c) -2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2\/25 of a gram?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, -71, -4, 17\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6025438 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h + 2*h**2 + 7*h + 0*h**2 to n*h + w*h**2 + q and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-6)*d*d**(-1\/2)\/d)\/(d**(2\/3))**19)\/((d*d**(1\/4))**(-1\/39))**(-17\/3) assuming d is positive.\nAnswer: d**(-2971\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 36*s**5 - 233394*s**4 + 15063985*s**3\/4 - 56962953*s**2\/4 - 31364325*s\/4 - 4041875\/4 = 0.\nAnswer: -1\/4, 25\/3, 6467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = 2*c. What is the common denominator of -23\/5 and (-74)\/(-42)*c\/1?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 69637969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 232848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 13) to base 15\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495 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: Let v = 6 + -1. Suppose 2*i - v = -1. Suppose -i*k + 2*j = 37 - 171, 0 = -2*j. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.1. Let x = 0.7 - 0.7. Let g = x + -1. Is g greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3898, 7652, 11290, 14812, 18218, 21508?\nAnswer: 24682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 220 - 233 - (1 - (2 + 3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22038 + -22043. Let x(d) = -28*d - 6. Let y(h) = -27*h - 5. What is z*x(k) + 6*y(k)?\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 618 and 3090?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -3*i**4\/8 + 7*i**3\/6 - 8*i**2 - 5. Let s(h) = -4*h + 3. Calculate 2*l(a) - 5*s(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1725219)\/108*(-1 + 15\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10911983972758 take away -16?\nAnswer: -10911983972742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -16.85?\nAnswer: 17.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 6:30 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 13*z**2 - 3*z + 204. Calculate v(10).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-6)*(-168)\/9. Let n = 753 - 754. Is m less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/200 and -67\/100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 - 125. Suppose -5*n + 97 = 2*s, s - j = -2*s. Sort -2, -3, -1, n.\nAnswer: -3, -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6100*s**2 + 400*s**2 + 2757*s**2)*(0 + 0 - s) + (-2*s**2 + s**2 + 2*s**2)*(5 - 5 - s) in the form y + v*s**3 + m*s**2 + k*s and give v.\nAnswer: 2942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 678712995 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + m**2 - 5*m**3 + 1 + m**2 + 4*m**3. Let k(g) = 2*g**3 + 2*g**2 - 5. Determine -k(u) - 3*s(u).\nAnswer: u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -7*y**3\/6 - 2*y**2 + 657*y. Give l(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69669 - 1793?\nAnswer: -71462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(76\/((-24)\/(-12)))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 25 + 13 + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2051 - 14407 = -6*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d (base 14) to base 16.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 17 (b) -28 (c) -0.2 (d) 3 (e) 0 (f) -20\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12008 + -12009. Let a(g) = 10*g**2 - 6*g - 7. What is a(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, -5, 27, -2, 0.4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(209)\/(sqrt(33)\/sqrt(3) + sqrt(11)))*-5*-1)**2.\nAnswer: -125*sqrt(19) + 2975\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14\/85 - -4\/17. What is c in k*c**2 + 8\/5 - 8\/5*c = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*o - 20 + 6 = 0, 3*o = 6. Let i = 523182\/5 - 104636. What is the closest to 6 in 4, i, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19393*n + 4043 - 19390*n - 610*n**2 + 38785*n wrt n?\nAnswer: -1220*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 5, 216, -141, -9\/14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 62\/15 + (-12)\/90. Let i(x) = -x**3 + 4*x**2 + x + 3. What is i(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5 + 12*h**4 - 18*h**3 - 8*h**2 + 24*h = 0. Calculate h.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1666647545 + 470\nAnswer: 1666648015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m**2 - 4*m + 6. Let h(y) = -2*y**2 + y**2 + 0*y**2 - 8 + 6*y**2 + 4*y - 13*y**2. Let k(c) = -4*a(c) - 3*h(c). Determine l, given that k(l) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 87, 257.\nAnswer: -1, 10, 87, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.23347 times 0.3\nAnswer: -0.070041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3215014 - -0.077?\nAnswer: -3215013.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111232031 - 1?\nAnswer: -111232032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -1123421?\nAnswer: 1123431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -67*b**3 + 11*b**2 + 73*b. Let y(q) = -13*q**3 + 2*q**2 + 14*q. Give -2*d(v) + 11*y(v).\nAnswer: -9*v**3 + 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 0.5 (c) 2 (d) -1 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 32*q**2 - 813*q + 108. Calculate f(26).\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 4. Calculate the remainder when k(-11) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - -7. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 460*c**2 - 178*c + 17. Is g(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 892651416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 137196.\nAnswer: 35\/137196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90886?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/(-6))\/(1\/2). Suppose y*x - 24 = -4*a, 4*x - 7 - 7 = 2*a. Is a <= -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.29 - -3.29. Suppose 0 = 46*f + 107 + 77. Which is the third smallest value? (a) o (b) -3 (c) -1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34.219 and -3.8.\nAnswer: 130.0322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.5, 5\/2, -0.1, 2, 796, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70646.43 years in millennia?\nAnswer: 70.64643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-58)\/(-4) + 2\/4. Is (-1786)\/(-6) - (-5)\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 164*p + 81. Let y be c(10). Is 1 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 391 - 1954\/5. What is the smallest value in t, 0.1, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zemzzezczzececebbe. What is prob of sequence zeeb?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -5, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o = 35. Suppose -2*t = -o*t. Suppose q - i = 13, t*i - 9 = -q - i. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 25.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-24)\/6 + (-22)\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f**2. Suppose -p + 0*p = -13. Suppose -9 = -p*j + 10*j. Let k(o) = -2 - 1 - o + j. Calculate h(k(l)).\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 4*c + 2. Suppose -22 = a + 4*j, -3*a + 2*j + 5 = 1. Let p = 2 - a. What is the remainder when m(p) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:16 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - 2*w**4 + 2*w**4 + (w - w - 2*w**2)*(-2*w**3 + w**3 + 2*w**3) + 4*w**3 - 2*w**5 - 4*w**3 + 2*w**5 + 0*w**5 - 3*w**5 - 46*w**5 - 141*w + 141*w.\nAnswer: -49*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/102 - 384\/583848*53\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, 1\/4, 3, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 2.2.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 8*c**2 + 8*c + 20. Suppose -6*m + 2 = -5*m - 2*r, -8 = -2*m + 2*r. Let b be p(m). Let v(i) = -i**3 - 4*i**2 - 5*i + 1. Determine v(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 8*m**2 + 7*m**2 - 13*m**2 as k*m**2 + s*m + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41075, 82114, 123123, 164102, 205051, 245970, 286859?\n\"Answer: -15*l**2 + 41084*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 2 = 2*v. Let i = -6 + v. Solve -i = -2*q + 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001164296 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a**2 - 2*a**2 + 0*a**2)*(-5635*a - 672*a + 1491*a) as h*a + l*a**3 + w*a**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 124 = 94. Suppose -4*p + 9*p = -5*s, -4*s - 5*p = -2. Sort s, m, 0.5 in ascending order.\nAnswer: m, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 2649 + 296 + 622 + 5*r - 15.\nAnswer: 2*r + 3552","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-28)\/(-140) + (4499\/5)\/1.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 1. Let j(q) be the first derivative of q**4\/4 - 2*q**3\/3 + q**2\/2 - 6*q - 1792. Determine j(h) + 3*t(h).\nAnswer: h**3 - 2*h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1399841 + -2.14. What is j rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 - 412*h**2\/3 + 21218*h\/3.\nAnswer: 2*h*(h - 103)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 1. Let z(q) = 6*q. Calculate -2*o(x) - z(x).\nAnswer: -4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivivivivivvvi. Give prob of picking 1 i and 1 v.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/13 and 2\/89089.\nAnswer: 89089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t**2 + 19*t - 16. Let p(u) = 6*u**2 - 18*u + 15. Let i(k) = -4*p(k) - 3*x(k). Factor i(z).\nAnswer: -3*(z - 4)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42989932 divided by 1178?\nAnswer: 36494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + n + 0)*(-3*n + 3 - 3) + (0*n + 3*n - 11*n)*(-5 + 2*n + 5).\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -7 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1052 - 1052.08848. Round o to three decimal places.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*i + 32, 0 = -2*g + 5*i - 4*i + 46. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 + 11*o + 11. Let n(v) = v**3 + 3*v + 3. Let j(d) = d**3 + 5*d**2 - 3*d - 9. Let g be j(-5). What is g*y(c) - 22*n(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 53 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440 = 8*u + 504 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14224 divided by 2.\nAnswer: -7112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - c**3 + c**2)*(-2 + 4 - 3) + (4*c**2 - 3*c**2 - 2*c**2)*(2*c - 6 + 6).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2754\/(-357))\/(9\/(-588)) + (-6)\/(-1). Solve -y*j = -503*j + 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 5*v**2 - 19*v + 24. Give o(-12).\nAnswer: 2700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 y when three letters picked without replacement from ninnnyiyyiin?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u + 5*u + 1860. Let h = u - -168. Solve -3*n - h = -1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 35 = -5*k, 18491*t + 4*k = 18495*t + 44 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + r**3 + 40*r**2 - 43*r**2 + 0*r + 6 - 5*r + 1. Calculate l(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t**3 - 13*t**2 + 15*t - 1. Let p be k(1). Solve p*m + 37 = 107 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -420*n + 386*n. Let d(i) = i**2 + 5*i - 11. Let s be d(-7). Solve s*h + j = 9, -j = 2*h - n*h - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 9*i + 4. Let d be u(-5). Suppose -4*x = 44 + d. Let j = x - -29. What is the highest common factor of 48 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -0.1, 3, -2\/5 in descending order.\nAnswer: 3, 1, -0.1, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/13)*r*r*r\/(r**(-1)*r))\/(r*r**(1\/5)*r**10) assuming r is positive.\nAnswer: r**(-523\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -9 + -1 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 5. Let b = -4 - -4. Calculate the remainder when 3*3\/(2 + -1) is divided by c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1247*t**2 + 1247*t**2 - 4*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/(o*o**(-3\/2)\/o))**(-3\/23) assuming o is positive.\nAnswer: o**(21\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 15*k**2 + k + 24. Suppose 0 = -9*d + 15*d - 84. What is the remainder when d is divided by h(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124*f**2*t*z**2 - 1592*f**2*t*z - 14*f**2*t + 2*f**2*z - 354*t*z**2 - 5*t*z wrt z?\nAnswer: -248*f**2*t - 708*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, -15, 50.\nAnswer: -15, 4, 15, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/10 + 2\/(-4) + 24. Suppose p = 2*l + l. Suppose 2*g = m - 38, m = -l*g + 3*g + 24. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/105 - -4\/35. Factor -1\/3*w - 2\/3*w**4 + m*w**3 + 2\/3*w**2 + 0.\nAnswer: -w*(w - 1)*(w + 1)*(2*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3039, -24466, -82647, -195954, -382759, -661434?\n\"Answer: -3062*t**3 - 5*t**2 + 22*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -95626920, -191253841, -286880762, -382507683, -478134604?\n\"Answer: -95626921*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/(-15)*(-9)\/6. Let c(x) = -x**3 + 6*x**2 + 6*x + 10. Let h be c(j). Solve 0 = -h*z + 11 + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -19. Let u(r) = -r**2 - 3*r + 131. Let d be u(-13). Sort -2, l, d in descending order.\nAnswer: l, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 3:48 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:23 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 94*k + 182. Determine s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (14 - 18) - -11. Solve 54*v - p - 10 = 52*v, 4*p = 3*v - h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 24?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 347135 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1082 divided by -7.\nAnswer: -1082\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/(-84) - (-30)\/2520*12. Which is the smallest value? (a) -2 (b) 28 (c) q (d) -17\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4779028 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517*b - 3 + 2 + 296*b + 207*b.\nAnswer: -14*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 265, 248, 213, 154, 65, -60, -227?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54334752 by -1086.\nAnswer: 50032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 42*u**3 - 2*u**2 + 2*u. Let l(v) = 40*v**3 - 3*v**2 + 2*v - 2. Determine -2*l(c) + 3*m(c).\nAnswer: 46*c**3 + 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 + 286*a**2\/7 + 10366*a\/7 + 10082\/7.\nAnswer: 2*(a + 1)*(a + 71)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59109 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*l + 59*l + 3*w + 46, -3*l + 88 = 5*w. Let b(i) = i**3 + 3*i**2 - 3*i - 1. What is the remainder when l is divided by b(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/7, 0.1, -0.12, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-677 + 1464 - 705)*(x - 4*x + 2*x) + (-3*x + x + 4*x)*(3 - 2 - 2) + 7 - 3*x - 7.\nAnswer: -87*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a769 (base 11) to base 13.\nAnswer: 47a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 507305*p**4*s - p**3*s + 2*p*s + 327*p - 29*s - 6 wrt p.\nAnswer: 6087660*p**2*s - 6*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -d, 3*d = 13*q - 17*q + 25 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 5*a**2 - 3*a - 10. Determine f(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 49*g - 53*g + 2091, -3*g - 4*b = -1578. What is the greatest common factor of 144 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + i**2. Suppose 29*v = 27*v. Suppose y - 1 - 1 = v. Suppose 3*m = 2*l - 0*l - 7, -y*m = 4*l + 10. Calculate h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(7) + 2*sqrt(847) + sqrt(847) - (sqrt(7)*-1)**2*2)*1.\nAnswer: -18 + 34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 42 = b. Calculate the lowest common multiple of 7*-6*12\/b and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4507 divided by -5831.\nAnswer: 4507\/5831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/401, 4\/39, -76, -4 in decreasing order.\nAnswer: 4\/39, 2\/401, -4, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 2*n**3 - n**4 + (n**2 + 4*n**2 - n**2)*(1 + 2 - 2)*(36*n**2 - 107*n**2 + 44*n**2).\nAnswer: -109*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 35 = -8*h. Suppose 5*d = 173 + h. Calculate the greatest common factor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14313 + 15081. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/12 - (7 - -1)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1606*j**3 + 6272*j**2 + 6076*j - 298. Let p(k) = 1071*k**3 + 4180*k**2 + 4050*k - 199. Let m(h) = 7*b(h) - 10*p(h). Solve m(s) = 0 for s.\nAnswer: -2, 6\/133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**3 + 3*v**2\/2 + 11*v. Let l = 7 - 2. Suppose l*n - 2 = 8. Calculate d(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 8*d - 70. Calculate the remainder when (-1)\/(138\/70 - 2) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/124 and 95\/186.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - (6 + -2 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -658*p + 462. Let u be c(-4). What is u rounded to the nearest ten?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -20*v. Let w(q) = -119*q. Let x(c) = -17*b(c) + 3*w(c). Let m = 38940 - 38891. Calculate the remainder when m is divided by x(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 41 + -32 + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146327, -146355, -146385, -146417?\nAnswer: -146451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 - 1.1. Let p = j + -1.1. Let s = -0.34 - 0.16. What is the closest to p in s, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8370 divided by 5?\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v - 3 = 0. Suppose u = -0 + v. Let a(z) = z**2 - 2. Calculate the least common multiple of 2 and a(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40245629 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 64*y + 82*y = 22*y - 84, 3*y - 31 = z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3188, -19, 1\/4, 10 in descending order.\nAnswer: 10, 1\/4, -19, -3188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4646*v**3 - 2*v**2 - 2325*v**3 - 2312*v**3 - 199*v + 199*v.\nAnswer: 9*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 19 + 9 + (-6 + 11 - 2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17655 by -5.\nAnswer: -3531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*g*j**3 - 5970*g*j**2 - 254*g*j + 622*g wrt j.\nAnswer: 168*g*j - 11940*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 5:03 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27436 is divided by 3428.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -9055?\nAnswer: 9058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24125201?\nAnswer: 929, 25969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 - 4*h**2 - 4*h**2 - 3*h**3 - 1.\nAnswer: -3*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 130*g**3 + 9*g**2 + 6*g + 80586 with respect to g.\nAnswer: 390*g**2 + 18*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - (-2 - -9))*-2. Let g(w) = w + 1. Let s(z) = -2*z**2 + 6*z + 4. Let x(b) = 5*g(b) - s(b). Is x(v) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.9 + -4.1. What is the fourth biggest value in -3, 0.5, b, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*g**3*z**3 + 45*g**3*z - 4*g**2*z + 38*z**5 + 2*z**2 wrt z?\nAnswer: 474*g**3 + 2280*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 522*q - 2093. Give z(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.0561487 rounded to one dp?\nAnswer: 14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342*(40\/(-60))\/((-8)\/6)*37.\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290099 or -290101?\nAnswer: -290101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 0. Let p be (209991 - z)\/((-2)\/(-12)). Suppose x + 2*x + 4*r + p = 0, -2*r + 1260006 = -3*x. Round x to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 5. Let m be 4\/10 + 2\/(-5). Let v = l - m. Put v, -4, 3 in increasing order.\nAnswer: -4, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, 3\/5, -0.5, -0.06, -4\/381, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63612 and 29731428.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:24 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-29 + -7)\/((-2)\/8). Suppose g = 12*o + 4*o. What is the first derivative of -3 + 7 + 5*q**2 - o + 36*q**2 wrt q?\nAnswer: 82*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*g - 1 + 121*g + 3*g - 14*g to r*g + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*h = -27, 4*a + 0*h = -5*h + 13. Let w = 12 - a. Let r = 6 - 3. Put r, w, -3 in decreasing order.\nAnswer: w, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 41814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1853, 3715, 5583, 7457, 9337, 11223?\n\"Answer: 3*q**2 + 1853*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15 + 9*w**4 - 297*w - 1083*w**3 - 15 - 2193*w**2 - 804*w.\nAnswer: 3*w*(w + 1)**2*(3*w - 367)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -38.91. Let m = u - -0.09001. What is m rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, -52, -114, -214, -364, -576?\n\"Answer: -2*m**3 - m**2 - 19*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-140)*((-2240)\/(-8))\/8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62168.\nAnswer: 2, 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 234430 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*f + 2*f - 57*f + 1 + (2 - f - 2)*(1 - 3 + 1) - 2*f + 0 + 0.\nAnswer: -38*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 747231005 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 17720?\nAnswer: 17720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w. Let t(f) = 12*f**2 - 14*f + 27*f - 13*f. Give t(y(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.05 - -35. Let o = l + 0.05. What is the third smallest value in o, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*x + 433*x - 559 = -10599 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o\/o**(14\/3))))\/o*(o\/o**(-20))\/o assuming o is positive.\nAnswer: o**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/3)*t\/(t**(-5\/2)\/t*t))\/(t*t**(-2\/7)*t**5)*((t**(-1\/7))**(-4\/3))**40 assuming t is positive.\nAnswer: t**(241\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/30)\/(1*24*(-125)\/2500)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 3. Suppose 4*c + 2*i = -18, 28 = -m*c - i - 3*i. Let n(f) = 2*f + f - f. Let w(p) = -p. What is c*n(j) - 3*w(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4\/3 - 10*r**3\/3 - 5*r**2 + 50*r\/3 + 56\/3 = 0.\nAnswer: -7, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-32)\/10 - (-36)\/30)\/(6 - 9))\/(-3). Let t = -3 - 15. Let s = t + 13. Which is the closest to n? (a) 0.1 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (58\/(-3))\/(10\/(-105)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:27 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.12285 + -0.12285. Let d be 2\/6 - 4\/(-6). Let o = -8 + 12. What is the closest to d in m, -2\/7, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ad6a (base 16) in base 12?\nAnswer: -21836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -1. Let h(u) be the first derivative of 0*u - 1\/20*u**5 + 0*u**y + 1\/12*u**3 + 0*u**4 + 1. Let h(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2. Let a = 6 + 79. Let s(l) = -l + a - 85. What is s(c(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302361?\nAnswer: 3, 100787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrx when four letters picked without replacement from xrxxxrxxxxxr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21231, 42495, 63791, 85119, 106479, 127871, 149295?\nAnswer: 170751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 17. Let h = u - 2. What is the highest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -6. Let v = n - 1. Let u = v + 5. Solve -c = u*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1\/2, 27, -62033?\nAnswer: -62033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7261*o - 4407423. What is m(-607)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - o - 86. Suppose 3*y + 2*y = -h + 77, -3*y + h + o = 0. Let a be (1 - -1) + (1 - -7). Calculate the greatest common divisor of y and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -2, -10, 2, -1 in increasing order.\nAnswer: -15, -10, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2 + 256708*s - 13868064 = 0.\nAnswer: -128408, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -294*d + 3874. List the prime factors of v(0).\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-20))\/((-1)\/5). Suppose -2*i = -4*t - 30, 0*i + 10 = -j*i - 4*t. Let y = i - -20. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17338 is divided by 199?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 656322432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**2 + 19008972*x - 3801795.\nAnswer: 3*(x + 1267265)*(5*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4881 = -8*j + 355. What is the highest common divisor of 748 and j?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2, 6*y = 3*j + 4*y + 2. Which is the third smallest value? (a) -13\/6 (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + l = -6, 5*d = 9*d + l - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, r: 1, q: 2}. Give prob of picking 1 r and 1 p.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 37164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235294440 divided by 6.\nAnswer: 39215740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11713.\nAnswer: 13, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g + 13. Let p be (-2)\/6 - 126\/27. Let l(b) = 14*b - 19. Let u(d) = p*l(d) - 7*o(d). What is the derivative of u(i) wrt i?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513576 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + ((-47022)\/748 - -34).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 11*x**4\/108 - 91*x**3\/27 + 16*x**2\/3 + 450*x + 2. Suppose s(a) = 0. Calculate a.\nAnswer: 6\/11, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/135 + 9712\/108. What is the greatest common divisor of 162 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*z + 610 - 610)*(-z**4 + 0*z**4 - 2*z**4) - z + z + z**5 + (-z**2 + z - z)*(-3*z**3 + 5*z**3 + 0*z**3).\nAnswer: -49*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97 or -98?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -139 (b) -2 (c) -1731\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4743, 5172, 5887, 6888, 8175, 9748, 11607?\n\"Answer: 143*g**2 + 4600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/4 - 15*v**4\/4 + 19*v**3\/2 - 6*v**2 = 0. What is v?\nAnswer: 0, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 + 3*x**2 + x - 1. Let z be u(3). Suppose 0 = 9*q - z - 439. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from dwnnnnuhdmdm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -4*g - 2*i - 2612, 4*g + 3*i = -2450. Let m be 4\/8*(g + 2)\/(-2). Suppose 5*y - 4*k - 272 = 0, -3*y = -0*y + k - m. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26832385123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 - 123*d**2 + 2170*d - 3844. Let j(n) = 2*n**3 + 61*n**2 - 1085*n + 1922. Let o(w) = -3*b(w) - 5*j(w). Solve o(q) = 0.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-42)*4\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5\/3 - 39650*z**4\/3 + 262033628*z**3\/3 - 577347330112*z**2\/3 + 576561427456*z\/3 + 1154170830848\/3 = 0.\nAnswer: -1, 2, 6608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 18*z**3 - 10*z**2 + 10*z. Let a be v(1). Suppose o = 4*o. What is the common denominator of -48\/5 and (-69 + o)*4\/a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -69*t + 135. Let q(d) = -10*d + 20. Let i(p) = -4*g(p) + 27*q(p). Let l(j) = -471*j. Determine l(i(c)).\nAnswer: -2826*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/(-7)*(-14)\/(-4). Let p = -8.6 - -4.6. Which is the second smallest value? (a) p (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6\/((s\/(s*s*s**(-6)\/s*s*s))\/s*s)*s**(-2)\/(s*s**1)*(s*s*(s*s\/s**5)\/s)\/s**(-6)*(s\/s**(2\/13)*s)\/s*((s**(-1\/4)*s)\/s)\/s*s assuming s is positive.\nAnswer: s**(135\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -2)*(-28)\/3. Let k(f) = 14*f + 90. Let s be k(-7). Let r be (32\/z)\/(s\/(-28)). Solve -d + r = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 divided by -472829?\nAnswer: -1009\/472829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/7)*j**(-1\/11)*(j**1\/j)**18)\/(j**2\/(j**1*j))**(2\/13) assuming j is positive.\nAnswer: j**(48\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 38335*g**2 - 5*g - 2. Let i(v) = -2*v**2. Give f(i(n)).\nAnswer: 153340*n**4 + 10*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**4\/6 + 16*j. Let c(m) be the second derivative of 0*m**2 + 0 - 1\/12*m**4 + 0*m**3 - m. Calculate c(q(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/(-4)*(-8)\/10*-21*(-10)\/84.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -129?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 214306619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 4*w - 4*w)*(5*w**2 + 0*w**2 - 2*w**2).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325617332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n**(-1\/39)\/n)\/n*n*n)**(-27\/5)*n**39\/((n*n**(-2)*n*n)\/n*n) assuming n is positive.\nAnswer: n**(1777\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 6*l - l. Let f = 7 + l. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 4*s + 8. Calculate the remainder when 44 is divided by r(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309036.4 nanograms in tonnes?\nAnswer: 0.0000000003090364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 4:36 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1992 is divided by 99?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30140563 a multiple of 1423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1976309325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -3) + 2 + -3 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x - 12 = 0. Suppose 3*v - 15 = -3*g, -3*v = -5*v + 8. Is 12 a factor of 0 - x*g*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 2753 in ascending order.\nAnswer: 2, 4, 2753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3874450 divided by -5\nAnswer: 774890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132 - 109. Suppose -4*d + 8 = 0, -3*l = -w*d + 24*d - 35. Solve -m + 6*m - 4*g + l = 0, 4 = g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1757*m - 1 - m**2 + 2*m**4 - 880*m - 875*m - 6*m**3 to r*m**2 + d*m + w*m**4 + f + j*m**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67998549?\nAnswer: 3, 19, 359, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4 - 11 = 0. Let f(u) = 6 - 4*u - u + u + 11*u**2 - 3*u**2. Does 22 divide f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162234776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341091422?\nAnswer: 2, 7, 24363673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760 is divided by 753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:52 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8046 - 13.7.\nAnswer: -8059.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.1525243 rounded to one decimal place?\nAnswer: 119.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*q**2 + 55*q**2 - 14*q + 56*q**2 - 228*q**2 + 14*q + 72*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 470 + 835. Let y = -701 - -442. Let l = h + y. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3 + 6806*d**2 + 185468*d - 850640 = 0.\nAnswer: -31, 4, 3430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1)\/(-2 - 24\/(-9)). Let a(p) = -y*p + 8*p - 7*p. Let w(d) = -d**2. What is a(w(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36351.\nAnswer: 3, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 20 = -0*r. Suppose -r*f + 6 = -4. Suppose -17*a**f + 2 - 12*a**4 - 4 + 32*a**3 + 6 - 7*a**2 = 0. Calculate a.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 242205 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 527532713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9963 and 54?\nAnswer: 19926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 - 74. Let y be (-6 + 333\/63)\/((-8)\/d). Which is the third smallest value? (a) y (b) 0.01 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(152) + sqrt(152)*1*-4))\/(sqrt(648)*-2*-4) + -5.\nAnswer: -5 - sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 3*s + 2*s)*(-3 - 20*s - 99*s + 61*s) to v*s**2 + m + i*s and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3*-3*2. Suppose 3*s - 5*a - 6 - 20 = 0, 12 = 4*s - a. What is the second derivative of -3*l**s + 3*l**3 + l + 5*l**2 - d*l**2 wrt l?\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6776, 6774, 6770, 6764?\nAnswer: 6756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 8. Let h be (1\/34)\/((-1)\/4). Let l be 14\/(-21) + 28\/105. Sort l, h, a.\nAnswer: a, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - -2 - ((0 - 45) + 58).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1488*(-2)\/(4\/2 - 0). Suppose z = 6*q - 54. Suppose -2*b = -107 - q. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324144123 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -211001120100221 (base 3) in base 5?\nAnswer: -11000110323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 5*s - 4*j - 48, -j - 3 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5, 3, -4.\nAnswer: -18, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -37*w**5\/60 + 19*w**4\/24 + 23*w**2. What is the second derivative of d(l) wrt l?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 4:08 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27623067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/353 and 3\/7?\nAnswer: 2471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 5, 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*u = -77*u - 27. Suppose u*r = -4*r + 2*r. Solve -5*w + r*w - 10 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddappuy. Give prob of picking 1 p, 1 a, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + (sqrt(363) - (sqrt(363) + -2*sqrt(363)) - sqrt(363)) - (-5 + sqrt(363)*2)) + 5)**2.\nAnswer: -242*sqrt(3) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*f - 769 + 141, 0 = 2*f + 5*c - 342. Let b(m) = -m**3 + 10*m**2 - 9*m + 7. Let p be b(9). What is the highest common divisor of f and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 117 + 33 = 0. What is the remainder when k is divided by ((-4)\/28)\/(13\/(-2457))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j**2 + 2*j. Let q be 18 - 9 - 3*1. Suppose 4*d = -38 - q. Let r(b) = 36*b**2 + 11*b - 1. Let l(v) = d*m(v) + 2*r(v). Differentiate l(y) wrt y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -38.3. Round c to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 1 - (92 - -3). Let r = 22 + -12. Is 5\/r*c\/(-2) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197812093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126794 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/7 - 72*n**2 - 12609*n\/7 + 13110\/7.\nAnswer: 3*(n - 190)*(n - 1)*(n + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2 (c) 560 (d) -2348\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*x = 41, 305*x - 1997 - 1067 - 2732 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 20 - -18) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -37*v**2 + 28. Let x(a) = -3. Let y(j) = l(j) + 5*x(j). Let r(n) = 8*n. Determine y(r(z)).\nAnswer: -2368*z**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 12510?\nAnswer: 12506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44\/573 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75, 48, -17, -138, -333, -620?\n\"Answer: -3*y**3 - y**2 - 3*y + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.04 and 0.0967?\nAnswer: 0.0567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-60) - 74\/(-20). Solve -12 = 4*r + z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - j**2 - 16*j**2 + 6*j**2 + 8*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222693 - 230063.59. Let l = h - -7337. What is l rounded to 0 dps?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 24*t - 24. Let u be w(13). Suppose -4*n + 60 = -n - 4*c, -u*c = -5*n + 114. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6404 + 102?\nAnswer: -6302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/(-3))\/(1\/(-3)). Suppose -7*l + 932 = 204. What is the greatest common factor of l and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/10 and 51\/191860.\nAnswer: 191860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12*f - 9. Let i(z) = 11*z - 8. Let a(h) = 3*i(h) - 2*t(h). Let k(r) = 26*r - 15. Let w(j) = -11*a(j) + 4*k(j). Determine w(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*q, q - 11361 + 70980 = 2*j. What are the prime factors of j?\nAnswer: 13, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -180 + 292. Calculate the remainder when r is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.0553 + -8.\nAnswer: -14.0553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69\/835063 or -1?\nAnswer: 69\/835063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 3*l. Let k(a) = 1 + 0 - 6 - 3*a**2 - 4 - 15*a. Let j be k(-4). Solve -j*s = l*d - 3, 0 = 3*s + 2*s - d - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -887 >= 2\/3459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1155660 and 51\/220?\nAnswer: 1155660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqjgmmr. What is prob of picking 1 j, 2 m, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 18*d**4 - 5*d**3 + 4*d**2 + 11*d + 10. Let k(c) = -c**4 - c**3 + 4. Let j(z) = 5*k(z) - u(z). Find the second derivative of j(a) wrt a.\nAnswer: -276*a**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139387, -557505, -1254367, -2229973?\nAnswer: -3484323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -5\/3 (c) -12 (d) 0.0101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 4*j - 4. Let f(o) = -o. Let s(t) = b(t) - 4*f(t). Let m be s(-4). Let w = 58\/3 + m. What is the nearest to -4 in w, 0, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - (sqrt(114)\/sqrt(6) + -4)**2) + (1 + -1*sqrt(19))**2 + (4 + 4 + (-4*(sqrt(114)*-2 + sqrt(114) - sqrt(114)) + sqrt(114))\/sqrt(6))**2.\nAnswer: 151*sqrt(19) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**3 + l**2 - l. Let k be h(1). Let o(w) = -21*w + 184. Let v be o(9). Put k, v, 4 in descending order.\nAnswer: 4, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riri when four letters picked without replacement from rirri?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 6*k - 4*k + 0 + 0 - 2*k + (3 - 3 + k)*(-1 + 0 + 3) + 2*k + 0*k + k)*(1 + 1 - 1).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-666*1)\/(-2) - 3. Let b = 480 - m. Let a = b + -107. Round a to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3 - 7. Suppose 74 = 2*a + x*l - 134, -3*l = a - 102. Calculate the highest common divisor of 27 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {g: 2, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00652355 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 72755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {v: 3, r: 4, i: 4, n: 1, c: 3, m: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**5\/240 - 35*n**4\/96 - 17*n**3\/12 + 36*n**2 - 3. Factor j(x).\nAnswer: -(x + 1)*(x + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12574 + 22063. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 834708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 4 + 1\/2*a**2 + 1\/3*a**3 + 0*a. Find j, given that g(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**3\/3 - 3*s**2\/2 - 5*s + 242. What is p(5)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61360402 to the power of 1\/3, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1068, 3727, 8162, 14373, 22360, 32123?\n\"Answer: 888*w**2 - 5*w + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*20\/85*9\/(-18).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.832 + -0.132. Let k = -5.7 + f. Let j = 0.3 - 0. Which is the nearest to -1? (a) j (b) 2\/11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 937778.7 milligrams to grams.\nAnswer: 937.7787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, 162, 689, 1718, 3417, 5954, 9497, 14214?\nAnswer: 20273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 141701853 to the power of 1\/3, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1352059 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146 and 14746?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -0.222\nAnswer: -2.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -171750 <= -1202258\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2457?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d + 4 + 5 + 2*d. Let i(r) = 5*r + 670 - 683 - r. Let w(l) = -7*h(l) - 5*i(l). Give w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -20, -5 in ascending order.\nAnswer: -20, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4\/2 + 415*x**3 - 24726*x**2 - 104319*x - 158355\/2 = 0.\nAnswer: -3, -1, 69, 765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77, -81, -75, -53, -9?\n\"Answer: w**3 - w**2 - 8*w - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -7*u**3\/3 - 3*u**2 - 8. Find the second derivative of n(r) wrt r.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3493022 divided by -2.\nAnswer: 1746511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4450, 35681, 120434, 285469, 557546?\nAnswer: 963425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -18*x**3 - 6*x**2 - 8*x - 8. Let t(s) = -6*s**3 - 2*s**2 - 3*s - 3. Calculate -3*i(p) + 8*t(p).\nAnswer: 6*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51630853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3069807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147.98 + 158. Round k to one decimal place.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by 6\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-1 - (-2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -3*x**5\/20 + 3*x**4\/4 - 11*x. What is the third derivative of k(v) wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 13*i**2 + 3*i + 40. Calculate the remainder when j(-7) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69382 or -69461?\nAnswer: -69461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - 2*y**3 + 2*y**3)*(-1351 + 1351 + 2292*y**2).\nAnswer: -2292*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x + 8. Let v be y(-25). Let d = v + -105. Solve 0 = -h - d - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/43940 and 111\/3718.\nAnswer: 483340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 0*d**3 + 4*d**3 + 3*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 108*t**2 + 393*t - 2232.\nAnswer: 3*(t - 3)*(t + 8)*(t + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-2 + 2 - d**4)*(1 - 1 - 5 + (0 - 1 + 0)*(-2 + 3 + 0)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -f - 23, 158 - 41 = -3*f + 4*b. Let m be (-522)\/2262 - (-2788)\/26. Let t = f + m. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-15))\/(-3 - (0 + -5)))\/((-67336)\/84170)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17 - 7)\/(1\/2890). Round m to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + -4.05. Let f = 73.3 + -69. Let d = -0.7 - f. Which is the third smallest value? (a) 4 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*b - 3*b + 6, 2*b + 4 = -2*s. Let u(q) = 7*q. Let m be u(s). Calculate the greatest common divisor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 4:28 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 157019272 rounded to the nearest one million?\nAnswer: 157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 18 = -5*d, 6*j + 2*d = 4*j. Let u(r) = -r + 2. Let q be u(j). Sort 6, 4, q.\nAnswer: q, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) 8.7 (c) -1\/298 (d) 68 (e) 0.3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 17512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23761613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017644761 to four dps.\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*j + 7*g - 9*g, -3*j + 4*g + 16 = 0. Calculate the least common multiple of 22 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 205 - 231. Let a = -25 + 26. Put a, -5, f in decreasing order.\nAnswer: a, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/(-384)*4*-45*3\/(9\/2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m - 3. Let a be p(3). Let h be ((-42)\/a)\/((-1)\/28). Suppose -w + 21 = -h. What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58539, -58819, -59283, -59931, -60763, -61779?\nAnswer: -62979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 39493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2056 is divided by 122?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7289907329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -18, 416 in decreasing order.\nAnswer: 416, 0.3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 310*c + 301*c + 1 in the form d*c + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -527.\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miw. Give prob of picking 1 w and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3440770192.\nAnswer: 2, 19, 23, 29, 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/583 and 105\/3772?\nAnswer: 2199076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 8, 0*n - 3*n - 18 = -3*q. Does 5 divide (-4)\/q - 1708\/(-70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 630.053 hours?\nAnswer: 37803.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001136 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*x + 11. Does -6 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14052 - -4763663\/339. Find the common denominator of -71\/102 and t.\nAnswer: 11526","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 <= -2156\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25564421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-27) + 47\/9. Find the third derivative of -2*s**4 - 6*s**2 + b*s**2 + 2*s**2 wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r - 30 = 0. Let m(w) = -930001*w + 10. Let s be m(r). Round s to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*u + 11, 4*j + j = 2*u + 8. Solve -4*q - 5*h = -10*h - 20, -10 = -j*q - 3*h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 - 83 + 23 - 667*b in the form n + w*b and give w.\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let w(f) be the first derivative of 4*f**2 + 3. Let h(n) = -10*g(n) - w(n). Let t(d) = -4*d. What is h(t(l))?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/7 (b) -15\/7 (c) 2\/17 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*q - 21 = -5*q, 5*q - 5 = 0. Suppose -f*w + 18 = -182. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3)\/w)**(-5)\/(w**(2\/5))**0 assuming w is positive.\nAnswer: w**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -21.9. Put 0, r, 1 in decreasing order.\nAnswer: 1, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 plus -0.048687?\nAnswer: -0.178687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 1127*l**4\/3 - 54094*l**3\/3 + 64207*l**2 + 248282*l\/3 + 440\/3 = 0.\nAnswer: -1, -2\/1127, 5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1885290 and 6934400?\nAnswer: 603292800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 600 from -636.51.\nAnswer: -1236.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, r: 1, n: 3, d: 4}. Give prob of sequence drn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 1, -9, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 12. Suppose -57*m = -29001 - 4800. Suppose f - 289 = b, 2*f - b = c*b + m. Does 47 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 8 = 2*s, 2*a + 4*s = -3*a - 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - m**2 - 4*m + 4. Calculate the remainder when (5 - -35)*721\/412 is divided by t(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22627384717829 + 0.05.\nAnswer: -22627384717828.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 29. Let t = 22.9 + u. What is t rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 10:24 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 1. Let s be t(-1). Let z be s\/(-2)*1 + 4. Solve -10 = -z*u + 4*h, -u + 13 = 4*u - 4*h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3443 - 10397 = -6*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394068 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(156)\/sqrt(48) + -4)**2 + 3 + ((-1 + (sqrt(1573) - (sqrt(1573) + -1 + sqrt(1573))) + -1*(sqrt(1573) - (-1 + sqrt(1573))))*-3)**2.\nAnswer: 174*sqrt(13) + 28569\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*b + 93225 = -319*b + 79*b for b.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**8\/336 + 2*f**7\/35 + 4*f**6\/15 - 7*f**5\/6 - 75*f**4\/8 + 125*f**3\/3 + 39*f**2. Find i, given that g(i) = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 i, and 1 s when four letters picked without replacement from shfffssssi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**2*t - 556*g**2*x**2 - 997*g**2 + 30*g*x**2 - 754*t*x - 806*t wrt x?\nAnswer: -1112*g**2*x + 60*g*x - 754*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -17626117291.\nAnswer: -17626117291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 668296 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - n**2 + 2*n - 2. Determine g(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 223391041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167026 is divided by 54672?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -331 - b?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 6. Let q be (18 + 0)\/3*-1. Let t be a(q). Let b = -4 + t. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-6 - -14)) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.7553 rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 7*w - 10. Let q be d(-5). Suppose q*p = -3*j + 894, 2*p - p + 3*j = 186. List the prime factors of p.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*x = 194*x - 22*x - 4990 - 1796 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2325832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - r - 187 = 60, 4*r = 3*t - 743. Calculate the highest common divisor of t and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63.8 + 136. Let c = -70.8183 + -0.1817. Let r = c + y. What is r rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -17*x + 0*x**3 + 0*x**2 + 1\/4*x**4 - 2. Let c(b) = 2*b**2 - 16. Calculate w(c(i)).\nAnswer: 12*i**4 - 192*i**2 + 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = u - 6, 4*f = 2*u - 9 - 3. Suppose 3*b + 5*p + 7 = 53, 0 = 2*b - 4*p + u. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**2 + 33*c - 79 wrt c?\nAnswer: -2*c + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 426, 640, 854, 1068?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5122 times 0.025?\nAnswer: -128.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**4 - k**5 - 3*k**4 + (2 + 4*k**3 - 2)*(6*k**2 - 2*k**2 - 2*k**2) + 4714*k**5 - 2241*k**5 - 1664*k**5 + 0*k + k**5 + 0*k.\nAnswer: 817*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 64 = -4*q. Suppose -3*a - 8 = -q. Let i = a + -2. Solve -7 = i*g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12184 + 12215. What is the greatest common factor of d and 15004?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15979548?\nAnswer: 2, 3, 13, 102433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/14)\/((62152\/(-1904))\/457)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - -62. Let g = 77 - c. Is g equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000840705 rounded to six decimal places?\nAnswer: 0.000841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*d = -1, -4*k - 14 = 3*d - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1729787 = -27144*t + 818726 - 1233315 for t.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29946339 is divided by 148?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(243)*6*1)**2 - ((-1 + sqrt(432) - sqrt(432))*-5*-3)**2)*-3.\nAnswer: -235521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.34 (b) 7.3 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -10*f + 3. Let i be h(3). Let x = -4 - i. Let v = x - 18. What is the greatest common divisor of v and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 21, -0.014, 0, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22958, 92139, 207440, 368861?\n\"Answer: 23060*d**2 + d - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 1 = -o, 4*m + 13 = o + 2*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4.4. Let o be 29\/(-7) - (7 - 44\/4). What is the closest to -0.1 in 12, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 9156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 0. Let l(r) = 2. Let t(y) = -y**2 + y + 1. Let w(g) = -l(g) - 2*t(g). Let q be w(s). What is the greatest common divisor of 8 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 21*c + 178. Let f be z(6). What is the greatest common factor of 72 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b. Let t(m) = 3*m**2 - 5. Let j = 4 + 1. Let n(a) = -16*a**2 + 24. Let i(s) = j*n(s) + 24*t(s). Calculate v(i(o)).\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, l: 3, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oazi when four letters picked without replacement from {v: 4, i: 4, z: 1, o: 1, a: 7}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*g**2 - 5*g**4 + 15*g**2 - 16*g**2 + 258*g**2 + 3*g**5 + 20*g**4 wrt g?\nAnswer: 180*g**2 + 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 93*s**3 - 4*s**4 + 3*s**4 + 51*s**3 + s**2 + 0*s**2 + 3*s**4 to the form f*s**4 + h*s**2 + y*s**3 + g*s + u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-65)*3740\/(-363)*(-33)\/2?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-24)\/2)*-3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1\/7, 3\/5, 0.4 in descending order.\nAnswer: 3\/5, 0.4, -1\/7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/1500*-50)\/((-14)\/(-10)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4276693, 4276659, 4276575, 4276417, 4276161?\nAnswer: 4275783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-17 + 22 + (-4 - 0)) - (-210 - -223)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -944, -4114, -9404, -16820, -26368, -38054, -51884, -67864?\nAnswer: -86000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4130 (base 7) to base 9.\nAnswer: -1872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1310436531 to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -486 - -534. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230184 divided by -57546.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + -4*sqrt(300).\nAnswer: -40*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 + 15*d - 11. Let i = -6 + 10. Suppose 4*a = -i - 20. Let l(o) = 3*o**2 - 3*o**2 - 2*o**2 - 7*o + 5. What is a*g(v) - 13*l(v)?\nAnswer: 2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3022 (base 4) to base 9\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039078 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12*4 + -2 - 1. Calculate the common denominator of c\/4 + -1 + -2 and 95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71284 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psggpgggsggpgpggwgs. What is prob of sequence sp?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2317700 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/((-2)\/(-8)). Let o(f) = -y*f + 4*f - 4*f. Let u(w) = -2*w - 3. Let j(v) = 4*v + 5. Let q(c) = -3*j(c) - 5*u(c). What is o(q(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28178292 divided by 16644?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 7. Let m be r(6). Let k be 0*m*2\/(-2). Suppose 75 = 3*h - k*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -13*a**2 - 9*a - 1290. Give u(0).\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6029, 6019, 5999, 5963, 5905?\n\"Answer: -a**3 + a**2 - 6*a + 6035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54719, 54716, 54713, 54710?\nAnswer: 54707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + ((5 + (sqrt(700) - (1 + sqrt(700))) - sqrt(700)) + 2)*-2)**2.\nAnswer: -80*sqrt(7) + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 647 + -642. What is the biggest value in v, -1\/5, -2\/9, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 157564729 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -827*a**2 + 843*a**2 + 8 - 12 - 2*a - 3*a**2 + 2*a**2 + 2*a**2 - a**2 + 0*a**2 + 3*a**2 + (a + 1 - 1)*(-a + 4*a - 2*a) - 3*a**2 + a**2 + 0*a**2.\nAnswer: 18*a**2 - 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 125758141283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 5\/12*y**4 - 7\/6*y**3 - 33*y**2 + 0*y + 0. Find the first derivative of i(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4 = -i + 7, 385*j = 768*j - 389*j - 5 - 13 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22\/2)\/(12\/48). Let i = -35 + u. Suppose -i = -n + 36. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9707464, 9707461, 9707458?\nAnswer: 9707455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -390*n - 163. Is y(-7) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/49 (b) -1\/4 (c) -2 (d) 1\/5 (e) 42 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 2, y: 2}. Give prob of picking 1 y and 2 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49, 26, 53, 154, 353, 674, 1141?\n\"Answer: 4*q**3 + q**2 - 54*q + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t = 6*t + 28 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.24712251 to four decimal places.\nAnswer: -4.2471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(39)*3)\/(sqrt(75)*1) + -3.\nAnswer: -12*sqrt(13)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5936 - 5126. Are 810 and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 517 and 1133.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 729, 5913, 20001, 47445, 92697?\nAnswer: 160209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3 + 7 = -2*k, 0 = 4*k + 5*j - 10. Let i be (k\/9)\/(6\/3). Which is greater: i or 4\/31?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 15 - 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 55. Let z = -48.99999926 - f. Round z to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248943832?\nAnswer: 2, 156117979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*6\/(-15)*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 26 + 44 - 59 - 2*p**3 + 4*p + 14 - 7*p**2 + 11. Let x be s(-5). What is the highest common factor of 52 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 20*j + 3445652 = 314889. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 2:04 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Let b = -22 + 130. Let k = b - 104. Solve k*i + 2*h = -h - 17, j = -2*i + 5*h - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6085535 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 6*a - a - 25, -12 = 4*i. Find the common denominator of -26\/7 and (-49 + -2)*1\/a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaaaaikaxaaaaiak. What is prob of picking 2 a, 1 k, and 1 x?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194.6 - -6137.\nAnswer: 5942.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 19 + 19)*(0*m - 2*m - m) to h*m**2 + z + i*m and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/(j**(1\/6)\/j)))\/j)\/j)\/j**4)**(2\/25) assuming j is positive.\nAnswer: j**(-41\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 2*r**2 + 2*r + 4. Let q be h(3). Let c be 168 - (0 + -3)\/q. What is the greatest common divisor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0) + -1 + -4 + 37 + -8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801683 times 4?\nAnswer: 7206732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4038, -3407, -2774, -2139?\n\"Answer: h**2 + 628*h - 4667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*p**2 - 2 + 0)*(0 + 1 - 2 + (6 - 1 - 4)*(-3 - 2 + 4) + 4 - 6 - 1 + 7 - 4 - 1) in the form d*p**2 + o*p + s and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 117, 1228, 4193, 9924, 19333?\n\"Answer: 152*x**3 + 15*x**2 + 2*x - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1453 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Suppose -f + 3*f - 7*q - 33 = 0, -4*f = -4*q - 36. Sort x, -1, 0, f in increasing order.\nAnswer: -1, 0, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.7773 + -0.2227. Which is the second biggest value? (a) 0 (b) q (c) -6 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22559729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*i**2 - 26 + 35*i**2 + 33*i**2)*(-3*i + 6*i - 2*i).\nAnswer: 2*i**3 - 26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*a**3 - 42*a - 22*a**3 - 22*a**3 + 34*a.\nAnswer: -2*a**3 - 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*x - x**2 - 28*x - 6*x**2 wrt x.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwogtgwgwwl. Give prob of picking 1 l and 2 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhk when three letters picked without replacement from {m: 2, k: 6, h: 3, d: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 219, -4, 3 in decreasing order.\nAnswer: 219, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 4*o - 2. Let y be z(-7). Suppose -5*a - b - 2*b + 15 = 0, 4*a = -b + y. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5568 + -5281.3. Let m = -412 + 148. Let i = j + m. What is i rounded to zero decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -13. Let c(s) = -s**2 - 6*s - 3. Let w be c(j). Let z(r) = r - 7. Give z(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 12*k**2 - 15*k - 11. Let v be o(-11). Calculate the highest common factor of 55 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 154*z**2 + 1294*z - 1614. Calculate s(-145).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(228)*-5 + sqrt(228) - sqrt(228))*-4)\/(3*((sqrt(300) - -1*sqrt(300)) + sqrt(12)))*-2*-2)**2.\nAnswer: 486400\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 29182 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 8, f: 4}. Give prob of sequence fgfu.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 86*y**2 + 633*y + 69. Calculate d(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**3 + 0*x**2 + (4*x + 2*x - 4*x)*(-4*x - 2*x**2 + 4*x) - 2*x**3 + 3*x**3 + x**3)*(-3 + 8 + 1)*(-52 + 12 + 38 - 83*x).\nAnswer: 1494*x**4 + 36*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10 = -6. Suppose v - 3*u - 15 = 0, -w*u + 3*u + 58 = 2*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3795.8 + 3796. Sort 8\/5, -12, -2, w.\nAnswer: -12, -2, w, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117883 is divided by 271?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.48 - -4.88. Let b = 4.346 - g. Let n = 1.054 + b. Sort -0.4, -2, n.\nAnswer: -2, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a meter in centimeters?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -26 - -29 - 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-13 - (3 + -21)) + (2 - 11))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647916812?\nAnswer: 2, 161979203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.148 and -32518.\nAnswer: -4812.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/22)\/((-13)\/(-52) - (-95)\/(-228)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -11\/2 (b) 1 (c) 3 (d) 82 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 413485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -482*x + 487*x. Suppose 2655 = x*w - 1503. List the prime factors of w.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4 (b) 3\/8 (c) 7\/43 (d) 15\/362\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7124829 < 7124830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.19 - 2?\nAnswer: 69.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31780.\nAnswer: 2, 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 3*b**2 - 31*b + 12. Calculate s(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -788*j - 326*j - 746*j = -39*j + 56451 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3073, 6112, 9153, 12196, 15241, 18288?\n\"Answer: l**2 + 3036*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -267202446.\nAnswer: 267202433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j + 23*j - 42 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 722 - b?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -340*b - 24480 + 4420 for b.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 2*f**2 + 2*f**2 + 2*f + 3*f**2 - 6. Let m be b(2). Solve 4*c - m = 6*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 5*y**2 - 3*y**2 + (-2*y + 4*y - y)*(5 - 5 - 4*y) - 2*y**2 - 7*y**2 - y**2 - y**2 + 2*y**2 - 2*y**2)*(3 - 1 - 6).\nAnswer: 44*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -6280 - -6285. Which is the second biggest value? (a) 0.6 (b) g (c) 2\/9 (d) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 16. Calculate s(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v + 1. Let g = 2 - 1. Let s(k) = -7*k**2 - 6*k - 5. Let h be 4\/8*(-12)\/(-1). Calculate g*s(x) + h*y(x).\nAnswer: -x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0527798, 5, 0.5 in decreasing order.\nAnswer: 5, 0.5, 0.0527798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 4. Let w be v(-8). Suppose -2*y + 7*y - 25 = 3*c, 5*c - 20 = -4*y. Suppose w*o + c*o - 24 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 167 = -2*p + 135, -5*b - 4*p = 83 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24269411, -24269412, -24269413?\n\"Answer: -i - 24269410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r - 15 = 0. Suppose -31*h + 26*h = -20. Calculate the least common multiple of r and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 148, 769, 1804, 3253, 5116, 7393?\n\"Answer: 207*l**2 - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 - 8*m - 2. Let d(c) = 22*c**2 - 31*c - 11. Let s(r) = 9*a(r) - 2*d(r). What is s(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9 - 6 - 2*p - 15 + 0*p. What are the prime factors of u(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 330152345 + 1?\nAnswer: 330152346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 9. Suppose -l = 2*j - 7*j - 3, 0 = p*j. Let a = 6 - l. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-p - 5*p + 4*p)*(3 + 3 - 7) + p + 0*p - 2*p)*(3 - 3 - 2*p) + 14714 - 14715 + 5*p**2 + 8*p**2 to q*p + x*p**2 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from aajaaeuagsaaggag?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5 + 1112*r**4\/5 + 133*r**3\/5 - 1112*r**2\/5 - 148*r\/5 = 0 for r.\nAnswer: -74, -1, -2\/15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((252\/(-168))\/(66\/92))\/((24\/(-176))\/3)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from zzlzlzzzzzzlzzzzzz?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 7566, -1580 in increasing order.\nAnswer: -1580, -5, 3, 7566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0 + i**2 + 0*i + 1\/8*i**4 - 1\/3*i**3. Calculate the remainder when k(3) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123.69 - 128.747. Let o = 0.057 + p. Which is the third biggest value? (a) -19 (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**4\/4 - 31*p**3\/3 + 159*p**2\/2 - 225*p - 324. Factor r(q).\nAnswer: (q - 25)*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 10, 5, -8, -2, -3, 1 in decreasing order.\nAnswer: 10, 5, 1, -2, -3, -8, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*h**3 + 5*h**2 + 14*h**3 + 23*h**3 - 3*h**4 + 18*h**3 - 5*h + 3*h to the form l*h**3 + b*h**4 + f*h**2 + o + x*h and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 + u**4)*(2 + 3 - 2)*(8 - 47 + 20).\nAnswer: -57*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33788957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 5 - 29 + (-4 + 5 - 3)*(-1 + 0 + 0) + 2 - 5 - 4 - 4 + 0 + 2)*(3 - 2 - 3)*(2*q - 5*q + 5*q) as c + z*q and give z.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/20)\/((-41)\/(-8)). Let r = v - 100\/369. What is the third smallest value in -0.3, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6262 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**2 + 3*w + 9. Determine p(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9615 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/72420 and -49\/4590.\nAnswer: 651780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007055674811 to five decimal places.\nAnswer: 0.00706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -3404?\nAnswer: -3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/4 (b) 23 (c) 4 (d) 4319\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h + 15 = 3*k, -2*k + 3*h = -30. Suppose 15 = w + k. What is the highest common divisor of w and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -13*l**2 + 7*l**3 + 17 + 9*l**3 + 8*l - 17*l**3. Is i(-14) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u + 16. Let s be (3\/u)\/(3\/8). Suppose -s*l = -0*y - 5*y - 50, -l - 5 = 5*y. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 612 - 131. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 3\/22 (c) -1\/5 (d) -15 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-15)\/(9 + -4). Suppose -u*y - 3*o = -33, 2*y - 4*o + 6 + 2 = 0. Solve l = y*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from mmtkkktm?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21575146 to the power of 1\/2, to the nearest integer?\nAnswer: 4645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138463 or -8\/73?\nAnswer: -138463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2946858 and 103\/8058.\nAnswer: 50096586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -620064643*a**4 - 490583*a - 27?\nAnswer: -7440775716*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 993231529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-15)*9\/(-28)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*k = 14, -1 = 5*k + 24. Let n be (-3)\/((-9)\/g) + 1. Let f = 7 - n. Calculate the highest common divisor of 88 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (0 - -22) + 280\/(-40) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 2*n = 9*v + 753600010, -3*v + 4*n - 753600020 = 0. What is v rounded to the nearest 1000000?\nAnswer: -251000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 8:07 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Sort g, -1, 85, 1 in increasing order.\nAnswer: -1, 1, g, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90 * 0.5.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = p - 195, -4*x = -2*x - 4*p - 78. Suppose -3*h = -15, 5*a - 3*h = -26 - x. Let m(j) = j**3 + 9*j**2 - 10*j + 6. Is m(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 56?\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -246.377408 and 3?\nAnswer: 249.377408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.68 + -0.12. Let w = 0.2 + 0.8. Let i = w + b. Is -1\/3 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(5 + 3 + 2*sqrt(1008) + sqrt(1008) + sqrt(1008) + -1 + sqrt(1008) + -1) + 1)**2.\nAnswer: 231120*sqrt(7) + 8176249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = h. Let b = h + 2. Let j = -0.6 + 1.6. What is the closest to -0.1 in 1\/3, j, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300003230001111 - -2?\nAnswer: 300003230001113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 1007708144?\nAnswer: -1007708144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 + 459*r\/2 - 894.\nAnswer: -3*(r - 149)*(r - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 666204139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-22)\/(-4))\/((-2)\/(-8))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 36. Let o be 24\/(-16) + y\/4. Factor -3*z**2 - 8*z + 3*z**4 - z**o + z**5 + 9*z - z.\nAnswer: z**2*(z - 1)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58725 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8547)\/(-189) + 4\/(-18). Is 2534\/10 - (-6)\/f*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*v + 8 + 9 = 3*t + 287*v, 3*v - 10 - 2 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.248, 4104, 1, 0.4?\nAnswer: 4104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 + 3*p + 7. Give x(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.747 * 0.1556.\nAnswer: -2.9170332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 a factor of 1418412542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -2*w**2 + 4*w - 33688. Let l(i) = -i + i**2 + i - 5*i**2. Calculate z(l(v)).\nAnswer: 16*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-6)*(16 + -4). Let g be 8\/(f\/(-12) - -2). Suppose 9*q - g*q = -12. Solve 5*m - 6 = q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152\/3 + -1207\/24. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, 21, 49, 93, 159, 253, 381?\n\"Answer: b**3 - b**2 + 14*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 597, 1000, 1403?\nAnswer: 1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 223134173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -13.99. Let q = -11 - -11.01. Let t = q - w. What is the closest to -0.1 in -2\/7, 1, t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) - 10\/8. Let s be 4\/((-20)\/(-25)) + 23984. Let c(v) = s - 23989 + 6*v. What is c(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, z: 2, g: 1, k: 3}. Give prob of sequence gbkz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*o + o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712204273.\nAnswer: 11, 17, 3808579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 1, f: 8, j: 1, q: 1, b: 2}. Give prob of picking 1 b and 1 j.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -11, 22 in descending order.\nAnswer: 22, -11, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 11:47 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, -2, 3.331, -4, 0.36 in decreasing order.\nAnswer: 3.331, 0.4, 0.36, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1458*k - 19355.\nAnswer: -1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 878*l - 4. Let q(x) = -881*x + 5. What is 6*c(u) + 5*q(u)?\nAnswer: 863*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 3:32 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112718353?\nAnswer: 11, 10247123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 38883480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 258\/31, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 2*q**5\/45 + 5*q**4\/18 + 2*q**3\/9 - 5*q**2\/9 - 8*q\/9 + 2. Let o(l) = 0. What is l?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -82. Calculate the remainder when ((-36)\/42)\/((j\/(-70))\/(-3)) is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (5\/3)\/(9\/46602) - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -q - 13*f + 858, 0 = f. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from oxoxxoxxxxxx.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 462*x + 2807. Determine i(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 15 = -0*n, 45 = j + 5*n. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*q*r**3 - 368*q*r**2 - 12*q*r + 140*r**3 - r wrt r.\nAnswer: -144*q + 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 285 + 457 = 0. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 270399737.\nAnswer: 4\/270399737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1505288?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 divided by 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/9740 and 113\/8766?\nAnswer: 87660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 1. Let h(c) = 4*c**3 + 2*c - 4. What is -h(t) + 2*k(t)?\nAnswer: -2*t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1579.999987986 + -1580. Round l to 7 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -26*v + 30*v. What is the nearest to -5 in 5, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -1. Let f = 1 + u. Let g(x) = -x + 1. Let o be g(6). Which is the nearest to -0.1? (a) f (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12230?\nAnswer: 2, 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(8\/3)*a**(-6)\/(a\/(a**(1\/5)\/a)) assuming a is positive.\nAnswer: a**(-157\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -201.2 - -206.006. Let v = -4.9827 - -0.0827. Let p = v + i. What is p rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - u - 1, -3*p - 44 = -7*u - 31 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 4, 0.14, 247?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -3, -1854.\nAnswer: -1854, -3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o - 3. What is the tens digit of z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 15. Suppose 0 = 3*q + 9, -5*y - m*q - 2 = q. What is the third derivative of -5*d**y - d**2 + d**4 - d**4 + d**5 wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 1. Let b(d) = -2*d**2 + 2*d - 2. Let y(l) = -3*a(l) - b(l). Suppose 14 = 5*p + 4. Let v be y(p). Solve 6*s = -2*q + 5*s + 1, q - 3*s + v = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 54*q**2 - 76*q + 1216. Calculate w(53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13087017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 4 + w + 4 + 7 + 477*w**2 to g*w**2 + m + i*w and give g.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14383441393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-1)\/(18\/10 + -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/135*2*-6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 k when four letters picked without replacement from kpbkpkpttkppttkt.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4488 times 10.859\nAnswer: -48735.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*d - 24 = 0, -4*d - 22 = -5*k - 25. Solve -4*i = -k*v, i = -v + 3*i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*s = 57, 2*h + 0*h = -s + 31. Calculate the greatest common divisor of h and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from cffe?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z = 19*z - 3*x + 222, 3*x + 39 - 81 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-208) + (-40)\/(-260). Sort b, -2\/19, 3, 5 in increasing order.\nAnswer: -2\/19, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -460 - -0.26617.\nAnswer: -459.73383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = 41. Suppose 17 = -5*t + s. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 1 - (-2472)\/504.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19914 (b) 0.1459 (c) 0.3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k - 84. Suppose -79 = v + 2*v + h, 2*h = -4*v - 108. Let y be r(v). Solve y*m - 11*m = 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2 + v + 5*v - 1. Let z be -3*-2*5\/6. Suppose z*q + 2 = -3. Determine x(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 141 and 423816.\nAnswer: 59758056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -e20 (base 16) in base 2?\nAnswer: -111000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 333 and 333?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:28 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3175383 is divided by 4602.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32174 (base 12) to base 6.\nAnswer: -1225024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(-2\/87)\/(d**(-1))**(-17) assuming d is positive.\nAnswer: d**(-10357\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20493, 20305, 20117, 19929?\nAnswer: 19741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 47 = 2*c. Let t(j) = j - 22. Let g(f) = 2. Give c*g(h) + 2*t(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/110)\/((-126)\/(-840)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13661*t**4 - 25 + 12 - 13662*t**4 - 24 + 3*t**3 - 29 to the form c*t**2 + p*t**3 + l*t + g*t**4 + y and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 4*m = -309. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 + 25*d**2 + 28*d + 3. What is r(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2208 is divided by 51.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -129209, -258345, -387407, -516395, -645309, -774149, -902915?\n\"Answer: 37*v**2 - 129247*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.030892 from 2.\nAnswer: 2.030892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 704 = 4*c, 3*c + 379 + 136 = -w. Let r = c - 469. Find the common denominator of -71\/6 and (r\/(-20))\/((-12)\/2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00956*1334\nAnswer: 12.75304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278318.\nAnswer: 2, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 65*f + 245. Calculate k(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l - 182 = -9*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m + 250. Let x be d(0). Let v = x - 123. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 70. Let p be -1*(110\/(-15))\/11 - (-50)\/6. What is the highest common factor of p and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(220\/(-8)) + 34184\/22. What are the prime factors of h\/9*(-11 - -17 - 3)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h + 9. Let c(u) = 7*u + 133. Let i be c(-19). Suppose 5*n + 5*w + 60 = i, w = -6*n + 2*n - 33. What is t(n)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 0*z**3 + 0 + 15\/2*z**2 + 55*z + 0*z**5 + 229\/30*z**6 + 1\/12*z**4. What is the third derivative of k(h) wrt h?\nAnswer: 5496*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 0, 2*g + 3*c - 9 = -2*g. Let w(l) = -3*l**3 - 127*l + 4*l**g + 30 - 8 + 11*l**2 + 146*l. Calculate the remainder when 49 is divided by w(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - 5) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - 9*t + 9*t + 6*t**2 - 4*t**2 + 4*t**2 + (t**2 - 3*t + 3*t)*(-28 - 23 + 66).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -192*f**2*k**3 - 2*f**2*y**2 - 2*f*k**3 - 26*k**3*y**2 + 3*k**2 + y**2 - 40*y wrt k?\nAnswer: -1152*f**2 - 12*f - 156*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 39, -1, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010308980 a multiple of 3638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 - -11?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 72861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (4\/3)\/((-7)\/(-252))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o*o**5)\/o*o\/o**0)\/(o**1)**(-2))**(-34) assuming o is positive.\nAnswer: o**(-340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-4))*t**(-4\/7)*(t**(-1))**(-18) assuming t is positive.\nAnswer: t**(150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/11*-6 - (-28944)\/792. Suppose g = v - 9, -v + 6*v + 5*g = -5. What is the greatest common divisor of k and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-133)\/21 - -4) + 2)*-33. What is the highest common divisor of 649 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1120110 (base 3) to base 5\nAnswer: -14041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 9. Let i be c(-9). Suppose h - 5*h - 552 = i. Let n = 201 + h. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 5*c - 156. Calculate h(12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 13, 5, -19, -59, -115, -187?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, q: 4, z: 2, j: 2, x: 3}. Give prob of picking 1 j, 2 q, and 1 z.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49057573\/1009 - -48620. Let o = -113975\/6054 - z. Find the common denominator of o and -3 - (963\/(-12))\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 103, 211, 323, 439, 559?\n\"Answer: 2*f**2 + 102*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-24)\/10)\/(-3)*5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/9 - 2788*k**2\/9 - 644140*k\/9 - 16456100\/3.\nAnswer: -4*(k + 215)**2*(k + 267)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 51. Let x = f + -11. Let j(l) = -l**2. Determine j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-8)*1*38. Let n be ((-3)\/(-2))\/((-3)\/(-4)). Is g\/(-3) - -1*n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5 - 5. Let c(i) = -i**3 + 5*i**2 + i + 1. Suppose -3*h = -6*h + 15. Let p be c(h). Solve 0*j = -3*l + j + 8, 0 = -5*l - a*j + p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2. Let t(n) = -3 - 1 - 4 + 9. Let d(i) = -14*i - 5. Let r(a) = 13*a + 4. Let u(s) = -2*d(s) - 3*r(s). Let z(y) = 2*t(y) + u(y). Give q(z(c)).\nAnswer: -121*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 6*s - 4. Calculate the smallest common multiple of 8 and g(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:00 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15*t. Let z(s) = 2994*s**2. Give z(g(q)).\nAnswer: 673650*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 2*l + 5 + l + 3. Calculate h(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*p - 16 = 3*p, -4*p + 15 = 5*m. Suppose -12 = -y - m. Let r = 31 + -26. Solve 5*c = 2*o + 3, -5 = -5*o - y*c + r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029 greater than 6181\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) -0.02 (c) 49 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 75712 divided by 33\nAnswer: 75712\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.901318 + -2.\nAnswer: -3.901318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 13) to base 15.\nAnswer: de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*(660\/(-77))\/(-15)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69417, -67227, -65041, -62859, -60681, -58507?\nAnswer: -56337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87023?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 + 0.24. Sort s, 2\/9, -1 in decreasing order.\nAnswer: 2\/9, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*r = -30312 + 31632 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-6)*(-99)\/(-44)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 157754604 + 1?\nAnswer: 157754605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9896 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 167280\/(-210) + (-8)\/(-14). What is a rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 77.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 1063*t**4\/2 - 334*t**3 + 1322. What is the third derivative of g(x) wrt x?\nAnswer: 12756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 18*c - 39. Let b be d(3). Suppose b*z + 15 = 5*x + 7*z, -x - 4*z - 16 = 0. Solve v = 4*k - 3, 4*k = -k + x*v + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -535, -130 in decreasing order.\nAnswer: -12, -130, -535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + t + 1. Let m be p(-2). Suppose -3*f + 16 = v, -5*f + 4*v = 9*v - 30. Put f, m, -1, 3 in increasing order.\nAnswer: m, -1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4 - 2*g - 1 + g**3 - 5. Let r be i(-1). Let n be (r\/3)\/((-20)\/(-210)). Is n >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9978 + -130.7322. What is h rounded to the nearest integer?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56122.68 nanograms to kilograms.\nAnswer: 0.00000005612268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2 - 2)*(3*s - s - 3*s) + (0*s**2 + 0*s**2 + 2*s**2)*(0 + 0 - 6) + 2 - 2 + 3*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 78\/21 + (-4)\/(-14). Let i = -14 - -16. What is the second derivative of k*d + 6 - 6 - d**i + 0 wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*v - 23 = 19, 5*v - 15 = 0. Suppose j - 4 = -0. Let a = -1 + j. Solve -s = -2*w - a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*r**2 + 135*r**2 - 3*r + 3 + 332*r**3 + 219*r**3.\nAnswer: 551*r**3 + 279*r**2 - 3*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41928 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-143)\/26 - -3)*(-14)\/105*-5\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5057, 20105, 44951, 79403, 123269?\n\"Answer: -32*y**3 + 5091*y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1665\/111*1*(-1)\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130231 (base 4) in base 13?\nAnswer: ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16072545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1733145178571 + -145.\nAnswer: -1733145178716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 353389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (sqrt(1152) - sqrt(1152)*3))\/(sqrt(108)\/sqrt(3)).\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**2*u**3*x + 2*k**2*u**3 + 2*k**2*x + 9*u**3 - 4*u**2*x + 63*u*x wrt u.\nAnswer: 12*k**2*x + 12*k**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.41 + -0.88. Let g = -1.761 + v. Let z = g + 0.23100203. Round z to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -130, -257, -382, -505, -626, -745?\n\"Answer: m**2 - 130*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + -15. Let i = v - -16. Let s be ((-4)\/(-8))\/(2\/i). Which is the second smallest value? (a) 0.2 (b) -0.18 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (4\/(16\/(-25)))\/(4\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2. Let m(v) = 578016512*v. What is k(m(d))?\nAnswer: -668206176289292288*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464666 is divided by 1324.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/12 - 2\/(-8). Let h be 22 + u + 10\/(-2). Suppose -4*y + 3*y + h = 0. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 4*w - 144, w + 33933 = 2*c + 33969 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 + -11 + -2 + 14 + -2 + -7 + -3?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -216*i**2 - 5. Let f(p) = 8*p. Calculate v(f(n)).\nAnswer: -3456*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o + 85. Let n be v(8). Is n less than or equal to 117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 80\/(-150)*45\/36. Let l = -3 - -2. Which is the third smallest value? (a) x (b) 1 (c) l (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9229 - 5437. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 28, 25, 1, 4 in descending order.\nAnswer: 28, 25, 6, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 5*z - 54. What is the remainder when 27 is divided by 60\/(-9)*z\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*f**2 + 539*f*w**2 - 43*w**2 - 93 with respect to f.\nAnswer: -40*f + 539*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10*j - 1321. What is n(38)?\nAnswer: -941","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 122\/18 - (-4)\/18. Suppose -24 = -m*w + 4*w. Suppose 9 = 793*t - 796*t + 2*i, 5*t = -7*i + 78. Solve -x = -t*x - w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1704316 > 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126.8 - 127. Let z = 1.3 + -0.3. Which is the third biggest value? (a) z (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h = 8. What is the remainder when 14 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 15 (b) -16 (c) -54\/35 (d) -2 (e) 0 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + z**2 + 2*z**2 - 2*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026326?\nAnswer: 2, 7, 73309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 44b653?\nAnswer: -44b655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.54 and 0.62?\nAnswer: -2.1948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 + 8*p**2\/3 + 14*p\/3 - 20\/3.\nAnswer: -2*(p - 5)*(p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b + 340*b**2 + 4*b - 331*b**2 + 20*b**3 as c*b**3 + i + w*b**2 + d*b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 354*w**2 + 3949*w - 291162. What is y(345)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 463*f**3 + 6*f**2 - 52*f - 16. Let w(k) = -154*k**3 - 2*k**2 + 17*k + 6. Let s(j) = -3*q(j) - 8*w(j). Find the third derivative of s(c) wrt c.\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, -4\/7, 11, -4, -1.\nAnswer: -4, -1, -4\/7, 2.6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/20)\/((-3)\/(-10)). Suppose -2*t + w*t = 0. Suppose t = l + 6 - 10. Calculate the remainder when 10 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4525*s**3 + 5442*s wrt s?\nAnswer: 27150*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 269 - 266. Let l(r) = 2*r**2 + 3*r + 3. Let w be l(-2). Find y, given that 8\/9*y**w - 14\/9*y**2 + 2\/9*y + 0 - 26\/9*y**4 + 10\/3*y**p = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*q - 39. Suppose 13 + 1 = 2*c + q*d, -c - 3*d = -7. Calculate the remainder when 1 + -1 + 0 - -20 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 7*k**2 + 4*k + 16. Let q be h(6). Suppose -215 = -2*b - 3*b. Suppose -q*t + b = -9. What is the greatest common divisor of 39 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 1\/20*a**5 - a + 30 + 0*a**3 + 29\/3*a**4 + 0*a**2. What is the third derivative of l(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 6)*(-157 + 54*y + 157).\nAnswer: -432*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 78, -3 in descending order.\nAnswer: 78, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93\/2 or -47?\nAnswer: -93\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2402 + 22624. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*m*o*v + 12*m*o - 13*m*v + 33425*m + 160*o*v - 7*v wrt v.\nAnswer: 7*m*o - 13*m + 160*o - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 10:38 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**7\/2520 - v**6\/360 - v**5\/120 - 91*v**4\/12 + v**2 - 57*v + 2. Let b(d) be the third derivative of w(d). What is b(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000553153 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148.16 + -188.16. What is the nearest to -2 in 9, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = 2*g. Let y = g - -9. Calculate the remainder when (344\/32)\/(2\/8) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from {o: 4, l: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 5*m + 6. Suppose o + 4*o + 25 = 0. Let a(t) = t**2 + t + 1. Let r(h) = o*a(h) + p(h). Let c be r(-1). Does c = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -375 + 370. Let y(p) = -p**2 - 29*p - 114. Let d be y(i). Solve 0*u - 3*u + d = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/(-63))\/(((-18)\/8)\/(39\/104))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = -3. Let k(c) = a*c - c**2 - 3 - c + 4. Let f(h) = -10*h**2 + 12*h + 16. Let b(g) = -1. Let x(j) = -4*b(j) - f(j). What is 12*k(q) + x(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + r + 10. What is q(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 12:05 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 + 22*h**2 - 2*h + 30. Determine u(-12).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.3 - 15.7. Let y = 20 + j. Let u = 0.5 + 1.5. What is the closest to y in u, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, w: 6}. Give prob of picking 1 h and 1 w.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 9, 4, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*y - 7. What are the prime factors of (y\/3)\/(2\/78)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 12. Let v be j\/21 + 4\/(-14). Suppose 16 = -4*o, -4*i - 5*o + v*o = -32. What is the remainder when 24 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c + 2*v = -36, -3*c + 5*v + 34 = 0. Solve -1 = -7*w + c*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 14*p**2. Let d(k) = -47*k**2 - 19*k - 57. Let f(w) = 5*w**2 + 2*w + 6. Let v(s) = -2*d(s) - 19*f(s). Give h(v(z)).\nAnswer: 14*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g**3 - 14*g - 4 - 27*g**2 + 11*g - 21*g = 0.\nAnswer: -2\/5, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-56)\/12*6\/4. Let c be (2 + 0)*2 + f + 4. Solve -5*b = c - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + p = -0*n - 72, -4*n + 5*p = 243. Let f = n - -46. Let b = -2 - f. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 + 2*o - 8. Let h(z) = -4*z**2 - 3*z + 9. Let b(k) = -6*h(k) - 7*r(k). Let j be (-1062)\/(-48) + 2\/(-16). Suppose 9*w + j = -2*w. What is b(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-48))\/((-93)\/(-124))*-3*8\/84. Let x be ((-2)\/7)\/(3\/(-14)). Let z = -6 + 2. What is the biggest value in t, -2\/5, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69 - -167928?\nAnswer: 16786a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*o + 3*x - 1640, -4*o = x - 6615. Suppose 14*d - 9*d = o. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 3 - 6)*((-3*d**2 - d + d)*(3*d**2 + 0*d**2 - d**2) + 3*d**4 - 11*d**4 - 17*d**4) to the form o*d + r + w*d**2 + v*d**3 + k*d**4 and give k.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 48.89. Let y = -0.01 + k. Round y to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42788 and 10697?\nAnswer: 42788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**3\/6 - 13*g**2\/2 + 11*g. Differentiate y(a) with respect to a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*o**3 - 3*o**2 - o**3 - 4*o**2 + 8*o**2 - 11*o**3 - 2 in the form k*o**2 + t*o + s*o**3 + p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.005636413 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2991572*b*r**3 - 97*b*r**2 - b*r + 2*b + 19*r**3 + 1426*r**2 + r + 38 wrt r?\nAnswer: 17949432*b + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, x: 2}. What is prob of picking 4 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 7:55 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18179 (base 15) to base 8.\nAnswer: -230214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/10)\/(305\/122)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (6 + 19\/(-5))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 11a42481?\nAnswer: 11a42484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-26)\/2)*(6 - 5). Which is smaller: -9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 20*u**3 + 19728*u**2 + 2488368*u + 992192 = 0.\nAnswer: -838, -148, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 3481372090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 7*s + 13. Give d(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 3*j)*(-2 - 4 + 4).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008376 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l - 4343 = 20632. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 - (-7 + 5). Suppose v*h = 10 + 18. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -22057*y + 2690. Is m(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.05 less than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.039 or 0.1?\nAnswer: -5.039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + 6*p - 5*p)*(-1477*p**2 + 1477*p**2 + 363*p**3) in the form s*p**3 + m*p**2 + q*p**4 + k + b*p and give q.\nAnswer: -1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -944341, -1888782, -2833223, -3777664, -4722105?\n\"Answer: -944441*v + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 2\/3, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39198, -317816, -1074068, -2546772, -4974746, -8596808, -13651776, -20378468?\nAnswer: -29015702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5969*f**5 - 2*f - 49638 wrt f.\nAnswer: 119380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537426.\nAnswer: 2, 3, 73, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 9*l = 64 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 + 2*a**2 - 2*a**2)*(0 + 2 - 4 + 3 + 0 - 2 + (3 - 3 - 1)*(-1 + 0 + 3) + 0 + 3 - 1 - 8 + 6 + 25) in the form z + b*a + d*a**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-27)*i)\/i*i*i**(-1\/2) assuming i is positive.\nAnswer: i**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9679 = 2*z, n - 14720 = -4*z + 4673. List the prime factors of z.\nAnswer: 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3207 - 3117. Suppose o + 17 - 87 = 0. Suppose x + o = -2*a. Round a to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 800012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97\/3 - -33. Let g = -15.06 + 15. Which is the second biggest value? (a) 0.5 (b) f (c) g (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3 (b) -8 (c) 8416 (d) -0.1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 - 2*a**2 - 2 + 0*a**2. Suppose -4*d - 2*p + p = -25, 0 = -2*d + 3*p + 9. Suppose d = 5*h - 4. Give q(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 - 2*g + 18. Let k be a(-8). Let p = k + 548. Is p a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3, -15, -9, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = g + 135, -126 = -3*i + 10*g - 12*g. Calculate the greatest common divisor of 341 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1614752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5475937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 23 = 5*u, 2*u = 3*t + t - 2. Suppose -11 + 1 = -t*j. Solve 2*q = j - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3 + 114*c**2 - 714*c + 205322542?\nAnswer: 6*c**2 + 228*c - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 42109182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -1\/3*q**3 + 5*q - 2*q**2 - 12. Factor l(t).\nAnswer: -(t - 1)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2794 and 6823202?\nAnswer: 75055222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*z + 14, 2*b + z - 13 - 10 = 0. Let y = b + -10. Let m be (-36)\/(-4 + -2)*y\/4. Solve -11 = -w - m*v, -2*w = 3*v - 0*v - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from rgugqrrwwwwu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -311, -680, -1197, -1862, -2675, -3636?\nAnswer: -4745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert ebe (base 15) to base 7.\nAnswer: 12464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -14) + (-2 - (-31 + (1 - 12) + 25))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37864*f + 1786887 + 2878*f - 1786887.\nAnswer: 40742*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c - 3*w + 22, 0 = -3*w + 12. Suppose -2*y + 8 = -0*y. Let d be 5\/2 + y\/8. Solve c*x = 23 - d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -19. Suppose -2*k + 89 = -81. Calculate the greatest common factor of k and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 + 11*t**3 - 8*t**3 + 8*t**3 with respect to t.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127232 and 88466.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 101096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**2 - 2748*k - 11056 = 0.\nAnswer: -4, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttg when four letters picked without replacement from {t: 3, g: 5, z: 3}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {i: 3, e: 3, b: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 121*b**5 + 77*b**4 - 524*b**3 - 304*b**2 + 160*b - 16 = 0. What is b?\nAnswer: -2, -1, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-14))\/((-12)\/(-40)). Factor 18*s**3 + 0*s**4 - 2*s**5 - 8*s**3 - 3*s**h + 10*s**3 + 15*s**4.\nAnswer: -5*s**3*(s - 4)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**3\/3 + 19*v**2\/2 + 63*v - 139. Let z be a(-15). Solve 4*n - 3*p - 11 = -4*p, 0 = 4*n + z*p - 17 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 - 8 + 34)*(-13*x**2 + 4*x**2 - 6*x**2) to f + k*x + h*x**2 and give h.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(9\/(-33)) + -3. Suppose -c - 20 = 2*g. Let t be (g\/21)\/(1\/(-3)). Solve -t*k + 20 = -6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**4 + 27*i**3 - 108*i**2 + 72*i - 2. Let f(y) = -3*y**4 + 27*y**3 - 111*y**2 + 72*y - 3. Let p(z) = 2*f(z) - 3*q(z). Factor p(a).\nAnswer: -3*a*(a - 2)*(a - 1)*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -659, -1482, -2635, -4118, -5931, -8074?\nAnswer: -10547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.1926823*-0.1\nAnswer: 0.31926823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2673)\/sqrt(3) - (sqrt(88)*-3)\/sqrt(8)).\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-2))\/(-7) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -77346*t. Let r(g) = 3*g. Determine r(k(j)).\nAnswer: -232038*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2135*c + 4208*c - 6 - 2078*c.\nAnswer: -5*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by -1.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3 + 278*o**2 + 2992*o - 7112 = 0. Calculate o.\nAnswer: -127, -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -145997025 bigger than -145997025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 14. Let h be 3 + -1 - (-12 + 8). Let f be a(h). Let w = 18 + f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1. Let z(w) = -39*w - 7. Let t = -19747 - -19746. What is t*z(x) + 6*a(x)?\nAnswer: 39*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 3*z + 5, 29*p - 5*z = 37*p + 3. Factor -9196\/3*t**3 + 1472\/3*t + 176*t**2 + 256\/3 - 13310\/3*t**p.\nAnswer: -2*(5*t - 2)*(11*t + 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m, 3*m + 40 = 5*v + 8*m. Let a(f) = 8*f**2 - 4*f - 4. Let p(q) = 9*q**2 - 5*q - 5. What is v*a(u) - 4*p(u)?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 137871719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 848721495 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 t when three letters picked without replacement from {r: 2, u: 4, t: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8994*f - 8960*f + 3 - 3.\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116549 or 125?\nAnswer: 116549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -5. Suppose 32 = -5*r + y. Let d = 3.2 - 0.2. Which is the second smallest value? (a) d (b) r (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7*s + 5 = 0. Let z be (10 + 4)\/(2*(s - -2)). Let k(t) = t**3 - 8*t**2 + 7*t + 2. Give k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(4\/5)*o)**23*(o*o**(2\/15)*o)**(-15\/8))**(35\/6) assuming o is positive.\nAnswer: o**(413\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l + 889 - 898 - 20*l wrt l.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82.241+2.5\nAnswer: -79.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*v = -526*v - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 57171350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18025 divided by -3605\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 3674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -2)\/((-2)\/4). Let j be 1 + 19826\/138 + (-1)\/(-3). Is 20 a factor of j - (p + 2) - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-90) - ((-84)\/(-24) + -4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 15\/(-2) + 8\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2323499 and 176608.\nAnswer: 5519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by (2 - (-25)\/(-20))*15\/(120\/2656)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 479960*s**3*u**6 - 3*s**3*u**3 - 1638*s**3*u**2 + s**2*u**2 - 60*s - 2*u**2 wrt u?\nAnswer: 57595200*s**3*u**3 - 18*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1734228*j = -1734239*j - 462 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l - 40. Suppose t - l = -t. Find the third derivative of 0*z**t - z**4 + z**2 - 3*z**4 wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -32*m**2 + 2*m + 33*m**4 + 4 + 23*m**2 - 29*m**2. Let z(q) = -q**2 - q - 2. Let o(r) = i(r) + 2*z(r). Find the third derivative of o(d) wrt d.\nAnswer: 792*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by 5385069?\nAnswer: 85\/5385069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 v when three letters picked without replacement from {v: 6, b: 12}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -11*k**2 - 2*k. Let l(d) = -2 - 32*d**2 - 7*d - 3 + 5. Let c(u) = 7*j(u) - 2*l(u). Let z(p) = 51 - 51 + 3*p. Give z(c(y)).\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177922999\/3620 - 49150. Let i = k - -137567\/25340. Calculate the common denominator of i and (1 + 18\/(-16))*71.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9164 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4*(2696\/16 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-15))\/((-2)\/(-10)). Suppose -1372*x = -1077*x. Solve x = -4*c + 3*u + 14, z*c - 18 = -2*c + 4*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2496\/390 + 2*1\/(-5). Let f(k) = -11*k + 23. Let d(x) = 4*x - 8. Calculate n*f(y) + 17*d(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = -n + 275, h + 46 = 2*n. Calculate the common denominator of 13\/9 and ((-12)\/h)\/((-1)\/22).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c49 (base 13) in base 15?\nAnswer: -1dc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 - 5*d**2 - 24 + (-6 - 15*d - 1 + 11)*(0 + 0 - 3*d - 2).\nAnswer: 40*d**2 + 18*d - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2705 = -b + 892. Let u = 1940497 + -15495243\/8. Let q = b - u. Calculate the common denominator of 97\/46 and q.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z**3 - 60*z**2 + 4. Let f(h) = -8*h**3 + 61*h**2 - 5. Let p(g) = 4*f(g) + 5*s(g). Find the third derivative of p(t) wrt t.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {t: 11, w: 2, f: 1, l: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c - 17. Let z(p) = 4*p + 8. Let l(w) = 6*d(w) + 13*z(w). Let v be l(-3). Let q = -6 + v. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(-45 - 14*b + 24 + 20) in the form u*b + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 305 + 79 = 0. List the prime factors of (-48)\/32*g\/3*-1.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 3*t**2 + 7*t - 5. Suppose 68 + 22 = 10*m. What is the lowest common multiple of h(4) and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*d = -419 - 154. Solve -2*h + 3*b = -7, -h - h - 11 = d*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 3*t**2 - 2*t**4 + t**4 - 3*t**4 + 0*t**4 + (t**2 + 0*t + 0*t)*(-t**2 + 2*t**2 - 2*t**2) + (4*t - 2*t + 0*t)*(-t**3 - t**3 + t**3).\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Let k = 0.609 + 1.417. Let g = k - p. What is g rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/83174738 and 5\/777334?\nAnswer: 83174738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/((-36)\/30)*195.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 6 + 21*d + 26 + 16.\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*a + 2*i, 4*a + 12 = 3*i - 15. Let l(d) = d**3 + 3*d**2 + d + 3. Let m be l(a). Suppose 0 = -m*q + 2*q - 16. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5411445?\nAnswer: 3, 5, 13, 27751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 23*u**2 + 11*u + 18. Let r be x(-11). Let t(f) = -f**2 + 6. Let d(o) = -4*o**2 + o**2 - 45 + 66. Calculate r*t(z) - 5*d(z).\nAnswer: -3*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 50 - 7*z + 13 - 18. Let d be x(6). Solve -j + 10 = -d*j + 4*l, 3*j = -5*l - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - (-1832)\/(-11 + 3). Put 3, t, 5 in descending order.\nAnswer: 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*f + 58 = 0, w + 0*w - f - 7 = 0. Suppose -6 = 4*y - 5*y + 2*o, -5*y + w = -o. Find the common denominator of -4 + 1\/y*-91 and -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22011112 (base 3) in base 13?\nAnswer: -2930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(1216))*-2.\nAnswer: -10 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -8128 and -7948 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 303953?\nAnswer: 2\/303953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrff when four letters picked without replacement from rrfrrrrfrrrrfrrrrr?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p - 3*v - 162, -52 = p - 5*v. Let w be (-8)\/30*(-455)\/p + 3. Sort w, -1, -1\/2, 4.\nAnswer: -1, -1\/2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + 210\/49. Suppose 18 = 2*n - 2*r - 0*r, r + 39 = l*n. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11188.4 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-4*1 + 0). Let r(w) = -w - 5*w**y - w**3 - 1 - 2*w - w. What is the remainder when r(-5) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(((-480)\/304)\/(-10))\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 + -108. Solve q*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242584 is divided by 3032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 1)*((0 - 6 + 4)*(0*o - o + 3*o) + o - 4*o + 2*o + 0*o - 2*o - 3*o)*(-2*o + o + 2*o).\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 987552 and 4.\nAnswer: 987552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 4*g - 3*g)*(11 - 11 + 9*g**3).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 4\/5, -181?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 0*y**2 + 2*y**2 + 5*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25206 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**3 + 45*l**2 + 42*l + 2. What is w(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25730 - -25729.8. Which is smaller: c or 10813?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 273 and 12?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -5 (c) -28 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 13*z**4\/24 + 13*z**3\/6 - 3004*z**2. Determine b(3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(1 + -1)\/1. Let o = -3\/29 - 11\/174. What is the nearest to t in 3, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f**5 - 1752 + 1752)*(23 + 22 + 24)*(-6 + 1 + 2) - 2*f**5 - 3*f**4 + 3*f**4.\nAnswer: -3314*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.15 (b) -0.4 (c) -3 (d) 1\/4 (e) -1165 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -393 or -391?\nAnswer: -391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 7) + (-4 - (1 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11022.4615 rounded to the nearest 100?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1792 and 14382 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 160\/(-50)*5\/(-2). What is the first derivative of -a + 7 - 6*s**4 + 11 wrt s?\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170 by 170.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1111615037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1346\/2387 + -4\/217. Let s = 760 - 756. Which is the third biggest value? (a) f (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -476 - -483. Let r(z) be the second derivative of -z**5\/20 + 2*z**4\/3 - 4*z**3\/3 + z**2\/2 + z. Calculate r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u - 29*u = -8. Let x be 1\/4 + 174\/8. Suppose 0 = -z + u*i - 6 + 22, z = -i + x. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2822 and 13698.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:21 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j**2 + 0 + 3 + 2 + 3 - j - j**3. What is c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -48. Let q(c) = 63 - s*c**2 - 63. Let o(m) be the third derivative of -m**5\/30 + 1021*m**2. Calculate q(o(l)).\nAnswer: -112*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 52?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-10)*-29*-2. List the prime factors of (1 + -2)*-2 - p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzaazjjajaazjzz. What is prob of sequence jjz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10323207 and 29241.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -713 (b) 4\/7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 3*o + 3. Let d be t(-3). Let i(g) be the first derivative of -6 - g**4 + 2 + 2 - 2*g**d. What is the third derivative of i(m) wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**5\/60 + 13*w**4\/24 + w**3\/6 - 4*w**2. What is the units digit of t(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -490*c - 86*c - 10*c - 26*c - 82*c. Let g(u) = -2*u**2. Determine g(b(r)).\nAnswer: -963272*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 20*h - 1065. Let p(q) = -13*q + 1065. Give -2*k(z) - 3*p(z).\nAnswer: -z - 1065","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by -33\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/288 and -127\/84.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-59375)\/180 - (1 + 0). Let l = 1313\/4 + a. Let b = -55127\/14 - -3933. What is the common denominator of b and l?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 - 46. Let l be (-4)\/(-18) + 64\/s. Find the third derivative of 0 + 0 + l*j**3 + j**2 wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 29*u + 32*u + 12, 4*l + 3*u + 27 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 5*j**3 - 1\/40*j**6 + 0 + 0*j + 1\/10*j**5 + 119*j**2 + 13\/8*j**4. Factor d(o).\nAnswer: -3*(o - 5)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4116420 rounded to the nearest 10000?\nAnswer: -4120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118 + -127 + 9 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 7*g**2 + 3*g - 7. Let z be l(-6). Suppose 4*f + 0*f - 41 = -5*v, 4*v + f = 24. Let o = z - v. Solve -o = 4*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1107 - -506. Does 86 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -145*g**4 + 375 + 388752*g**2 - 388752*g**2 + 49 wrt g?\nAnswer: -580*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 22977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2. Let q be (2 - 2)\/(((-9)\/(-3))\/3). Let n(j) be the third derivative of -1\/12*j**5 + 0*j**3 + q + 0*j + 4*j**2 + 0*j**4. What is x(n(w))?\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 6 (b) 3 (c) 1214 (d) -0.057 (e) -1 (f) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30\/13 + -137\/65. Sort 6\/5, n, -2.\nAnswer: -2, n, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28305, 112785, 253441, 450273, 703281?\n\"Answer: 28088*d**2 + 216*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 - 2 - 31*z**3 - 30*z**3.\nAnswer: -58*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 7. Calculate l(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(6\/5))**19)**21)**(-2\/27) assuming h is positive.\nAnswer: h**(-2926\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**4\/8 + 19*b**3\/3 + 31*b**2\/4 - 111*b - 12700. Factor o(q).\nAnswer: (q - 2)*(q + 3)*(q + 37)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 152*v + 3066. Let n be x(-18). Calculate the greatest common divisor of 4488 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.43 - 0.43. What is the third smallest value in -32, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406892 is divided by 40673.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 - 1.6. Let v = 2537.4 + -2537. Which is the second biggest value? (a) -2 (b) r (c) 48 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -5265\nAnswer: 1\/1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 664 - 683. Let l(t) = t**2 + 19*t + 5. What is l(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -18*m. Let w be b(4). Let k = -29 - w. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 2\/3 (b) 6.7 (c) -3.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/201249 and 53\/1298.\nAnswer: 4427478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 6*z - 4. Let s be u(6). Let i = 3 - 2. Let m = 4 - i. Which is the nearest to 0? (a) m (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -948*b**2 + 1057*b**2 - 51*b**2 - 56*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/2)\/z*z\/z**(-9)*(z**(9\/5)*z*z)\/z**5 assuming z is positive.\nAnswer: z**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a5188b + 1?\nAnswer: 4a51890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3224.21 and -1.3?\nAnswer: -4191.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-1)\/1)*-2. Let c(b) = 13*b**3 + 3*b**2 + 7*b - 2. Let q(v) = 4*v**3 + v**2 + 2*v - 1. What is s*c(i) - 7*q(i)?\nAnswer: -2*i**3 - i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32460264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -17*p - 4. Let v be q(-5). Let g be 180\/v + 3\/(12\/(-8)). Which is the nearest to 3? (a) 1\/3 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s + 0*s**5 - 4\/3*s**3 + 3 + 0*s**2 + 1\/3*s**6 + 0*s**4. What is the third derivative of r(t) wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**7\/42 - 7*d**4\/24 - 2*d**2. Find the second derivative of q(z) wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.92238859 rounded to three dps?\nAnswer: 13.922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -4, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in -4, 11, -2, 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1237, 4, -2, -70, -11, -4 in ascending order.\nAnswer: -70, -11, -4, -2, 1, 4, 1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.4 + 34.4147. Let d = v - 0.0434. What is d rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5080547192 + 0.068.\nAnswer: 5080547192.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, 5, -2, 3, 58, -128 in ascending order.\nAnswer: -128, -7, -2, 1, 3, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/((x*x\/(x\/(x*x**(4\/9)*x*x)))\/x)*(x**1*x)\/x*x**(-3)\/x**(-1\/10) assuming x is positive.\nAnswer: x**(-301\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 3.41953398221.\nAnswer: -3.01953398221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 123, 241, 413, 657, 991, 1433, 2001?\nAnswer: 2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -16*r**2. Let y(l) = -4 + 2 + 2 + 3*l. Determine c(y(b)).\nAnswer: -144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61083723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -16\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 51.7. Let y be 1\/2 - (2 + -2). What is the nearest to y in -3, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1))**(-40)*(b**(2\/5))**31 assuming b is positive.\nAnswer: b**(-338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 54. Solve 0 = i + i - z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/15 of a week?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03369442 less than 21665926?\nAnswer: 21665925.96630558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 77. Put 4, -4, c, -3 in ascending order.\nAnswer: c, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 6:24 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onn when three letters picked without replacement from nnco.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1064, 4704, 10772, 19268, 30192, 43544?\nAnswer: 59324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.07655 and -0.19?\nAnswer: 0.26655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -223 + 229. Let v(d) = d**2 - 9*d + 25. Let z be v(j). Solve -3*q + 1 = z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 21167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, -2, -4 in ascending order.\nAnswer: -17, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 137*z**2 - 4*z - 24. Let a(i) = 4. Give 6*a(y) + f(y).\nAnswer: 137*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*a - 10, -3*v + 5*a + 30 = 6*a. Calculate the remainder when (-43)\/((-4)\/v*65\/52) is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -291*(-1 + 2) - (-26 - -25). Let r = s + 296. Solve -f - r*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 2*g + 5*i - 42, -18 = -2*g - 3*i. Let z = 61 - 56. Suppose 0 = z*w - 4*f + f - 10, 4*w = 3*f + 5. What is the highest common divisor of w and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from ocyqaoqoyymoqom?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-250 + 635 - 1179)*(o - 2*o - o).\nAnswer: 1588*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 54*w - 75*w + 49*w - 73*w to the form z + o*w and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 549, 1027, 1507, 1989, 2473?\n\"Answer: b**2 + 475*b + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57419600 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - r - 4*r)*(40 + 23 - 30).\nAnswer: 33*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 17. Let m be r(-21). Suppose m*g - 4 = 184. Let c = -42 + g. Solve -5*h = -5*d - c, 0*d + 7 = -5*h - d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 - 72*z**4 + 464*z**3 - 1368*z**2 + 1836*z - 864 = 0 for z.\nAnswer: 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (98\/(-42))\/(5\/15) - -14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39780468 less than -99?\nAnswer: -39780567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 + 110 + 13*l - 351 + 104.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60307160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*((-64)\/20 - -4). Let r = 8 + i. Solve r*f = -0*f - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.789512 microseconds to days.\nAnswer: 0.0000000002637675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -252227.6 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/85 and -89\/8.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 66, 213, 376, 495, 510, 361, -12, -669?\n\"Answer: -10*q**3 + 68*q**2 + 13*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8141?\nAnswer: 7, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1082 + -26444?\nAnswer: -25352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11.5? (a) 0.3 (b) 3 (c) 1 (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**7\/280 + x**6\/40 - x**5\/20 - x**3\/2 - 2*x**2. Let d(l) be the first derivative of f(l). Suppose d(w) = 0. Calculate w.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000642176 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 45*z**2 + 22*z - 13. Find the first derivative of j(h) wrt h.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2773524 divided by -3588?\nAnswer: -773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 9 + 3\/1. Let j = d + 0. Round j to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - -14. Suppose 5*a - 2*p - b = 0, -2*p + 11 = a + 1. Solve 0 = -2*k + a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452271 is divided by 368.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/2189 + -89759\/10945. Calculate the common denominator of v and 31\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*c - 15 = 0. Suppose 0 = -c*n - 4*w + 80, -3*w + 4 = 19. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-3)*(0 + -1). Suppose -m - 10 = -5*i + 4*m, 11 = 3*i + o*m. Suppose -u = -i - 27. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Let i be (-45)\/(-10)*2\/d. Let r be i\/(1*6\/4). Solve -r*w = 2*t + 2 - 0, -5*t = w - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 25 = 5*c + 4*l, 3*l = -2*c + 10. Suppose -5*b + c*g = 0, -4 = -b + 2*g - 2. What is the units digit of (-11)\/(-11)*(b + (-381)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + s + 2. What is i(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528421 is divided by 4985?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5423\/46721 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5555055 (base 6) to base 4.\nAnswer: 1010103023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 4*c + 2. Let b be j(-4). Let r(a) = -b*a + 4 - 2 + 34*a**2 - 3 - 4*a**2. What is the remainder when r(-1) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 133\/18251 or 0?\nAnswer: 133\/18251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6813\/7 - -973. Is -705 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/432?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*d + 3. Let v(c) = -c. Let b be v(d). Let u be 1 - (1 + b + -2). Solve -4 - 1 = -u*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2855, -2857, -2859, -2861, -2863, -2865?\nAnswer: -2867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -363 + -320?\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 311.7567 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 2, w: 1, x: 3, f: 5}. What is prob of sequence fnw?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 4, r: 8}. Give prob of picking 1 v, 1 r, and 1 f.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5\/2 - 54*l**4 + 198*l**3 - 192*l**2 = 0. Calculate l.\nAnswer: 0, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -12*r + 1. Let j be k(-2). Let b = 5 - 1. Calculate the smallest common multiple of j\/2 - (-2)\/(-4) and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6409\/4, -1.3, -0.2, -68, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74132 is divided by 12350?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8\/j)\/((j*j**(-6\/11)*j*j*j)\/j) assuming j is positive.\nAnswer: j**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 3*n = -35. What is the remainder when 14\/(-1 - -2) + 2 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -93, 5 in descending order.\nAnswer: 5, -0.4, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18802889 to the power of 1\/2, to the nearest integer?\nAnswer: 4336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1 + 4 - w - 4 - w**2. Let u(a) be the second derivative of a**4\/4 + a**3\/6 + a**2 - 68*a. Let j(r) = 4*i(r) + u(r). Factor j(n).\nAnswer: -(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 s when four letters picked without replacement from {z: 1, s: 3, k: 1, w: 5, t: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = 10*b - 290. Let q = 8 + -1. What is the highest common factor of b and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 20*s**3 + 14*s**2 - 14*s - 26. Let l(t) = 7*t**3 + 5*t**2 - 5*t - 9. Determine 14*l(h) - 5*u(h).\nAnswer: -2*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 - z**2 - 5*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3804?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*j + 3, 0 = 2*j - 0 + 2. Solve r = -4*n + n - 3, y - 1 = 3*n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {p: 2, c: 4, e: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 691048642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + w + 4. Let x be j(0). Let p(k) = -3*k**2 - 5. Let o(g) = -1. Let t(v) = x*o(v) - p(v). What is the first derivative of t(u) wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 22*i - 1. Let z(c) = -5*c**2 + 44*c + 2. Let b(y) = 7*d(y) + 3*z(y). What is the units digit of b(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185685015 divided by 235.\nAnswer: -790149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -4813770.841173?\nAnswer: 4813770.641173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11527156193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3803 = 13*n - 4842. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01398 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 123\/20, 8, -306, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 2, o: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4\/4 - 27*k**3\/4 - 18*k**2 - 15*k.\nAnswer: -3*k*(k + 2)**2*(k + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 35. Let t = 313 - v. Suppose 0 = -3*h + 3*d + 345, -4*d = -3*h + d + t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.055.\nAnswer: -0.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -113*m**3 + 6*m**2 + 44. Let x(v) = -114*v**3 + 5*v**2 + 45. Let g(r) = -5*w(r) + 6*x(r). What is the first derivative of g(i) wrt i?\nAnswer: -357*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -265 + 411. Let s = 234 - h. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3667890 and 103\/360.\nAnswer: 44014680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 789838.7ml?\nAnswer: 789.8387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 6*u + 8. Let g = -65 + 61. Let i be 1\/((-6 - g)\/(-14)). List the prime factors of l(i).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4614)\/(-16) + (-96)\/256. Suppose 0 = 293*o - b*o - 29050000. What is o rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -2*r - 18, 0*l - 5*l + 27 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 2, k: 2, f: 4, b: 1, y: 5}. What is prob of sequence fl?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -345 - -340. Put -10, m, -1 in increasing order.\nAnswer: -10, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**4\/12 - h**3\/6 + 25*h**2 - 2*h. Calculate r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 16) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -38*o**2 + 11. Let f(v) = 12*v**2 - 3. Calculate -7*f(h) - 2*s(h).\nAnswer: -8*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*o + 10*o = 48*o - 35520. Calculate the highest common divisor of o and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-26))\/(10\/2)*-2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*r**5 - 562*r**4 + 28158*r**2 - r?\nAnswer: 9600*r**2 - 13488*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9 + 4*n + 1 - n - 4*n. Let y be a(-7). Let w = 188\/715 - 6\/55. Is w at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4191377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -409 - -192. Let y = 222 + q. Solve -5*v - 4*g - y = 0, 5*v - 2*v + 3 = 3*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 31.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -144*w - 25. Let y(j) = 72*j + 13. Let f(u) = 6*r(u) + 11*y(u). Is f(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/715 + 1306\/715. Find the common denominator of (162\/(-24) + 3)*(27 + (-18755)\/651) and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 1. Let j(q) = -122*q**2 - 366. Give -2*j(z) + 732*t(z).\nAnswer: 976*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43956257?\nAnswer: 29, 1515733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/7865 and -37\/704990.\nAnswer: 7754890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/737990 and -97\/268360.\nAnswer: 2951960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -11*v**4\/6 - v**3\/2 - v**2\/2 - 29*v. Let g be x(2). Let d = g + 104. Calculate the highest common divisor of d and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 12*h + 4. Let z be n(-11). Let w(j) = 3*j**2 - 9*j - 19. List the prime factors of w(z).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231 and 10549?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2541479 - 2*m - 2541479.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 2*m - 10 = 2*j, 2*j - 4*m = -18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35002545, 35002557, 35002593, 35002665, 35002785, 35002965?\nAnswer: 35003217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/336)\/((-51)\/(-6392)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*v + 41*v + 4*y + 41 = 0, 14*y + 31 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2*d - 12 = -0*x, 3*x = 4*d + 21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19389 = -5*j + 2*j. Let s = j + -64553\/10. What is the common denominator of s and (-409)\/(-30) - 3\/(-15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 213054 and 23759834.\nAnswer: 23972888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*s**4 + 217739*s**3 + 79742*s**2 - 38*s wrt s.\nAnswer: 456*s + 1306434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 302 and 15953603?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 12 = 3*v, 5*v - 9 = 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24940\/(-2494))\/(((-5)\/(-6))\/((-1)\/3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 552063809 bigger than 552063809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 4. Let g = w + 1. Suppose 0 = h - 2*h + 4. Solve -h*q + 4 = -3*v, -q + 2 + 10 = g*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 217, -282, -1515, -3848, -7647?\n\"Answer: -61*c**3 - c**2 - 69*c + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 322 + -13. Let f = w + -54. What are the prime factors of f?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1537412 is divided by 362?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-1 - 0\/2. Find the common denominator of (-1)\/(-5)*(-55)\/(-16) and 1\/w - 375\/(-70).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 511, 2072, 4747, 8596, 13679?\n\"Answer: 10*r**3 + 497*r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85276 is divided by 21317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 11, 29, 65, 125?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*c - t, 3*t + 2 = -7. Let u be (0 - -5)*c\/15. Suppose 3*i - 2 = 4*d + u, 3*i = -2*d + 24. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*v + 0)*(-1 - 2*v**2 + 1) - 4*v + 2*v**3 + 4*v + (-v**2 + v**2 + 2*v**2)*(3*v + 0*v - 5*v) - v**3 + 2*v**3 - 2*v**3 - 2*v + 2*v - v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 0 + 0*x**4 + 1\/30*x**6 + 0*x - 2\/15*x**5 + 6*x**2 + 0*x**3. Find the third derivative of y(k) wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v. Let t(f) = -2*f + f + 0*f. What is y(t(u))?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120*(-13 + 8\/((-440)\/(-737)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q - 7*q - 1512 = -9*q for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1086952 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 0*a - 3*a - a. Let n(x) = -5*x. Give w(n(i)).\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1386 and 594.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 29001.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/(-11) + 2\/(-11). Let t(b) = 4*b - 4. Let y be t(i). Let p(d) = -2*d - 6. Let o(k) = 4 + k - 1 - 4 + 3. Determine y*o(c) + 3*p(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-4))\/(36\/144)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let i(s) = -9*s + 14. Let g be i(20). Let q = -162 - g. Solve q = 2*f - z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 17. Suppose 4*z - 85 = t. Suppose 0 = 19*i - z*i + 25. Solve 0 = i*p - 2 + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 4*b - 10 = -3*c, -2*c = 2*b + 6. Suppose 6*t - 64 = c*t. Calculate the highest common factor of t and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from keeeeekkeeeeeeeeekee?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 5*p + 1\/6*p**3 + 0 + 5\/2*p**2. Does 11 divide k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 - ((-48)\/4)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*p - 217 + 52 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.65 - -0.724. Let z = 2 - 1.989. Let t = z - u. What is t rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*u = -16, -5*u = -5*j + 8 + 32. Suppose 0 = -9*w - 1116 + 2619. Calculate the remainder when w is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3140 divided by 628\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)\/(sqrt(40)\/sqrt(4)) + sqrt(8).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 - (-8)\/(-6). Let m = 36500 + -36479. Sort -4, z, 4, m in decreasing order.\nAnswer: m, 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -23, -18, -11, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxsxsqysxxxxyyxybyxx. What is prob of sequence sq?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -2840.\nAnswer: 3\/2840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 589\/2 + -1217\/4. Let s = -871 + 860. Which is smaller: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16625)\/(-5700))\/(15\/24)*(-36)\/7?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501865981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3)\/(y**15\/y))\/((y*y*y**(-1\/3))\/y*y)**(-31))**31 assuming y is positive.\nAnswer: y**(3565\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:26 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.8979.\nAnswer: 0.35916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trrvkvvkrrf. What is prob of sequence fvkr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318247 = -5300*a - 20953 for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 + 10*n + 2. Let b(a) = a + 1. Let k(w) = 2*b(w) - f(w). Let r(t) be the first derivative of t**2\/2 - 22. Determine r(k(z)).\nAnswer: -4*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4281559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 3586.\nAnswer: 537900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.8651329 plus 8?\nAnswer: 20.8651329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -303 + 600. Suppose -5*m + 4*c + 993 = 0, l = m + c + 102. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -14*((-6)\/2 + (2 - 1)). Suppose -2*s = -u - 90. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*b - 39 - 56 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 952.\nAnswer: -956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let o be y(-4). Suppose 15 = l - o*h - 9, 0 = 3*l - 4*h - 32. Suppose 2*v + 0*v = l. Solve -v*b = b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1460 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(132) - (sqrt(132) + -1*(sqrt(132)*-2 + sqrt(132))))\/(sqrt(96)\/sqrt(128) + (sqrt(1200) - (1*sqrt(1200) - sqrt(1200)))).\nAnswer: -20*sqrt(11)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 + -101000101?\nAnswer: -100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/653136 and 31\/296880?\nAnswer: 3265680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 289*j**3 - 2.\nAnswer: 289*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s. Let z(i) be the second derivative of 0 + 0*i**2 - 1\/6*i**4 + 0*i**3 - 4*i. Give u(z(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27621 plus 28513.2?\nAnswer: 892.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + 5*x - 65. Determine p(10).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.214522km?\nAnswer: 6214.522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 31959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -8\/31 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -2*z**5\/3 + 169*z**4\/24 - 71*z**3\/6 + 71*z**2\/12 - 7*z\/6 - 4904. Suppose f(c) = 0. What is c?\nAnswer: 1\/5, 1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9468 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 946?\nAnswer: -944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42401118 is divided by 6057301.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*y - 30, -4*g = -4*y + 8*y. Sort -3, -4, y, -5.\nAnswer: -5, -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2692 is divided by 2686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822*q + 818*q = -3*u + 144, -10*u - 3*q + 480 = 0 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 1505?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**4 - 135*a**3 - 283 wrt a?\nAnswer: 8*a**3 - 405*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -152*i**2 - i**3 + 5*i + 1 - 6*i + 4*i**3 + 149*i**2 - 4*i**3. Give p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(10\/(-4) + 1). Let w(l) = -2 + 2*l - 1 - 4*l**2 + 5*l**2. What is w(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -933*p**2 + 481 with respect to p.\nAnswer: -1866*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1322 divide 266607740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -972*j - 3918. Give m(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 4.846.\nAnswer: -58.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 2:30 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 = 3*u. Let q = 37 + u. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (8 + (16 + 8 - -7))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 362*z**2. Let m(d) be the second derivative of -d**4\/12 - 24*d + 5. Give v(m(o)).\nAnswer: 362*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 48*j**3 - 594*j**2 - 14520*j - 67881.\nAnswer: 3*(j - 17)*(j + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/3 + 364*k**2\/3 - 1904*k\/3 + 512.\nAnswer: 4*(k - 4)*(k - 1)*(k + 96)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = 0. Let y be 1 - 7\/(8\/(-4) - -11). Which is the third smallest value? (a) 5 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*b = 3*o + 38, 100 = 3*o + 5*b. Suppose 3*j - 30 = o. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 10*w**2 - 4*w + 12. Let n be l(-10). Calculate the greatest common factor of n and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, w: 1, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.06684918\nAnswer: -0.013369836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -31\/21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24599 at most 24599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 292908719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25815568 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(357 + 2*p + 356 - 717).\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from aaaalalaaaaalaa.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*k + 22. Let h(t) = 2*t**2 - 5*t + 4. Calculate the lowest common multiple of k and h(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3563495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53019 and 6.\nAnswer: 106038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 747031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i - 6. Let c(q) = q**3 + q**2 - 13*q + 7. Let g(p) = -3*c(p) - 2*z(p). Solve g(l) = 0 for l.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 56*y**3 - 17*y**2 - 21*y - 3. What is s(-1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.013 + -3305872478\nAnswer: -3305872477.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3014 * 0.05.\nAnswer: 0.01507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 14*p**2 + 1203*p - 83. Give n(-86).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + x**2 + 8*x + 5. Let f be v(4). Which is the biggest value? (a) f (b) 1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 47*x**2 - 878*x + 379. Determine r(61).\nAnswer: -1085","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3446, -6889, -10330, -13769?\nAnswer: -17206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 7:15 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.797977 minutes in microseconds?\nAnswer: 47878620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 1:10 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21996 - 21175. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) -3\/8 (b) -0.1 (c) -0.3 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -8)*36\/18. Is -2*(482\/(-12) + k\/(-30)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 144.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23633 is divided by 5843?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 7. Let b be z(3). Let s = 7 + b. What is the smallest common multiple of 0 - (-16)\/(-2 - s) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*u - 66*u + 13 + 5 = 0. Suppose 2*f = -0*f + 5*v + 8, v = 2*f - 8. Solve u*r = -5 - f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 1\/2, 1\/13, -0.1, 0?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70175712 by -113.\nAnswer: 621024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + d + 3*d)*(-11*d + 7 + 6*d - 5) in the form q*d + n*d**2 + j and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in -3, 5, 1\/3, 1\/5, -0.072?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 858, 1254, 1588, 1860?\n\"Answer: -31*d**2 + 489*d + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 8*n**2 + 2*n - 12. Let u be s(8). Let l(g) = 66*g**2 - 5*g + 1. Is l(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -211800.\nAnswer: -211799.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-147)\/(-30)))\/((-88)\/77)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x - 486 = -29*x + 87*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 15. Are w and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-28) - (-5)\/7. Let j(n) = -f + 6*n - n - 1. Let h(d) = 3*d - 1. Let r(t) = 11*h(t) - 6*j(t). Calculate r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*a - 279 = -51*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*q - 21 = 0, 2*m + 2*m - 19 = 5*q. Let o = -17 - -21. Let h = m - o. Solve -10 = -0*x + h*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, 38, 107, 212, 359, 554, 803?\n\"Answer: n**3 + 9*n**2 + 5*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -834171 (base 9) in base 10?\nAnswer: -495136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82685?\nAnswer: 5, 23, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - ((-182)\/(-14) + -14). Sort -1, v, -91, 0.\nAnswer: -91, -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1588, 3142, 4708, 6292, 7900, 9538, 11212?\nAnswer: 12928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*l, -671 = 4*p + 4*l - 947. What is the remainder when 930 is divided by p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236.6999l to millilitres.\nAnswer: 236699.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, x: 8, y: 1, c: 1}. Give prob of sequence xx.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 21*u + 347. Calculate the remainder when 928 is divided by m(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -48*x**2 + 36*x - 2. Let b be q(-2). Let r = 1517 + -1045. Let u = b + r. What are the prime factors of u?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 56466.12 decades?\nAnswer: 564661.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1204095 divided by -5\nAnswer: 240819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -12. Let p be (-2 - -1)*(-3 + v). Suppose 0 = 2*k + 5*y - 901, p*k - 3*y = -3*k + 1362. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14491.\nAnswer: 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, a: 7, m: 1, g: 3}. What is prob of picking 2 a and 1 m?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 148. What is the first derivative of -26*k**2 + b*k**2 - 9 + 22*k**2 wrt k?\nAnswer: 56*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28*1\/8*-10. Let h = w - -34. Let a(j) = -15*j**3 + 2*j + 1. Give a(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggiggkpxggeegggkg. Give prob of picking 1 x and 1 k.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z - 14 = -2*k, 3*k = 5*z - 1. Is (-31 + 0)\/(k\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 9:03 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60451 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = 2*b. Let t be -3 + 10*(b + 4). Let a = -11 + t. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4 + 2*r**3 + r**2 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t - 134 - 538. Let g = 118 + t. What is the greatest common factor of 15 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 50 - 11*y + y**3 + 0*y**3 + 18*y**2 - 7*y - 53. Is h(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.004 (b) 16920 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - r**2 - 2*r - 1. Let s be x(4). Let z = s + -25. Let o = 35 - z. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 6003 = 1873. Suppose -6 + 226 = a + 2*n, 2*a - 5*n = l. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s + 46 + 52 + 38 - 123 + 4*s. Calculate g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 15. What is the units digit of h(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -292, -347, -412, -487, -572, -667?\n\"Answer: -5*m**2 - 40*m - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -16 (c) -1\/6 (d) -223\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5111 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 446 - 453. What are the prime factors of ((-2)\/(4\/(-10)))\/(a\/(-840))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -238*t + 488. Let s(a) = -169*a + 325. Determine -7*s(j) + 5*x(j).\nAnswer: -7*j + 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/9 + 10*c**4\/3 + 14*c**3 + 170*c**2\/9 + 8*c = 0 for c.\nAnswer: -9, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 1:44 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -39) + 67 + (-96 - -83)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 15 = -0*h. Let w = 229 + -243. Let a be 5 - 80\/15 - w\/6. Sort 0, a, h, -15 in descending order.\nAnswer: h, a, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5506490, -11012978, -16519466, -22025954, -27532442, -33038930?\nAnswer: -38545418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419708 divided by 1?\nAnswer: 2419708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*q + 16. Suppose -3*g - y - 10 = 0, -4*g + 0*y - 16 = 2*y. Let k(v) = -18*v - 16. Let r be k(g). Solve 0*p - q*p = -r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -18, -57, -112?\n\"Answer: -8*f**2 + f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**4*x - 12422*f**2 - 106*f*x - 2*x - 555 wrt f?\nAnswer: -36*f**2*x - 24844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -197\/6. What is the fourth biggest value in -0.01, -2\/15, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726580106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -59243.41 rounded to the nearest one hundred?\nAnswer: -59200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -956*(-2)\/10*15\/12?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119310984?\nAnswer: 2, 3, 13, 41, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462117810910650*z**2 + 462117810910650*z**2 - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 177 + -37. Does 21 divide (18\/(-30))\/((-4)\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63 + -65)*(-5 - (-15 + -11))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 11255*u**2 - 22572*u - 11331. Let d(w) = 1876*w**2 + 3762*w + 1888. Let j(i) = 26*d(i) + 4*n(i). Factor j(o).\nAnswer: -4*(o - 941)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*i**3 + 0 + (3*i - 2*i - 3*i)*(3240 - 1638 - 1637 + 120*i**2) + (i**2 - 3*i**2 + 0*i**2)*(-3*i + 2*i + 2*i).\nAnswer: -240*i**3 + 70*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/24)\/(70\/(-40))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71737640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97581317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10944\/1403 or -7?\nAnswer: -10944\/1403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/118542 and -45\/16.\nAnswer: 948336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45348*w**5 + 14*w**2 + 20*w - 1 wrt w.\nAnswer: 2720880*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2345, 4650, 6957, 9266, 11577, 13890?\nAnswer: 16205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, 1\/20, 3\/4, 15\/151, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u + 5*k = 17*u - 1284, -u - 420 = -k. Let c = 425 + u. Find r such that -8\/9 - 4\/9*r**c + 2*r = 0.\nAnswer: 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r**2 + 144*r - 1138. Calculate b(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 150*m**2 - 1762*m - 2596. Calculate r(137).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 0.1, -123.32, -0.13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*((-165924)\/(-30))\/(-11). Let y = l + -1615. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/28 or 47.4?\nAnswer: 27\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 15*i + 16. Let g be c(-14). Let u(b) = 9*b**2 - 2 - 3*b**g + 15*b**2 + 2*b. List the prime factors of u(1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 3616492.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186 - -189. What is the second derivative of -145*a + 245*a + 139*a - 294*a**m wrt a?\nAnswer: -1764*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 78480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -163636 and -163635 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8528 - -8527.6. What is the closest to 0 in -5, s, -0.2, -1.18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 351.134 grams in nanograms?\nAnswer: 351134000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 9*v + 9. Let j be n(-11). Let q = j + 20. Suppose -q*x = -11*x + 48. What is the remainder when 34 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27819 and 1405.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.045668881 and -0.0272?\nAnswer: 0.072868881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Suppose q*n = -n - 5. Let v = 13 + n. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60105 divided by -1\nAnswer: 60105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 3*h - 6. Determine i(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -72, -168, -312, -510?\n\"Answer: -t**3 - 15*t**2 - 2*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - 1*sqrt(102)*4)\/(sqrt(6) + (sqrt(6) - 3*sqrt(6) - sqrt(6))*5 + sqrt(6) + sqrt(6) + sqrt(6)).\nAnswer: 3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 491 = 3317. Let i = 916 + k. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5980, -33, 5, 51 in descending order.\nAnswer: 5980, 51, 5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 269496 divided by -13\nAnswer: -269496\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - (3 - 4)*51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.48 - -0.5. Let v = 54.01976 - 54. Let o = q - v. Round o to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**4\/4 + 13*w**3\/3 + 17*w**2\/2 - 27*w - 30. Suppose -4*y + 51 - 19 = 0. What is the remainder when c(14) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*g - 23*g - 15. What are the prime factors of (g + 207 + -3 + 2)\/1?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i**2))**(-1\/48)\/(i*i*i*i\/i**(-2\/7))**(-8) assuming i is positive.\nAnswer: i**(11527\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(2))\/sqrt(9) + 0.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 5*b**3\/3 + 655*b**2\/2 - 1330*b - 10027. Find u such that m(u) = 0.\nAnswer: -133, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23702, -23851, -24100, -24443, -24874, -25387, -25976, -26635?\nAnswer: -27358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35270710?\nAnswer: 2, 5, 3527071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 239\/2. Let a = -1.873 - -1.973. What is the closest to a in 2\/11, -1\/2, 1\/8, p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlxlxa. Give prob of picking 1 l and 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + (9 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.03 - -26.2. Let x = c - 0.57. Put -14\/9, -1\/4, x, 1 in descending order.\nAnswer: 1, -1\/4, x, -14\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*(-420)\/80.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + (146531\/(-506) - 8). Let x be (-1488)\/5 - 4\/10. Let p = x - z. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-405)\/(-162))\/((-10)\/(-16)). Let b(y) = 2*y - 11*y + 4*y + 4*y - l*y. Let t(r) be the first derivative of -2*r**3 + 1. Give t(b(i)).\nAnswer: -150*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -350*m**6 + 210*m**2 - m?\nAnswer: -42000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*k**3 - 12*k**3 - 6*k**3 - 3*k + 29*k**3 - 1.\nAnswer: (k - 1)*(2*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54743302 divided by 226.\nAnswer: 242227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 6:56 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995536?\nAnswer: 2, 124721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.1. Let p = 10 + -7. Let s be 4\/16 + p\/20. Which is smaller: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 8*f**2 - f - 8. Suppose t = 20 + 40. Suppose -u + t = 4*u. Calculate the remainder when i(7) is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-3\/4))\/n)\/(n**(-6)\/n))**46\/((n*n\/n**1*n)**(1\/19)\/(n\/(((n**(-4)\/n)\/n)\/n)*n*(((n*n**(-4)*n)\/n)\/n*n*n)\/n)) assuming n is positive.\nAnswer: n**(11149\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7400, 32002, 73008, 130418, 204232, 294450, 401072?\n\"Answer: 8202*g**2 - 4*g - 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 2826500464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22789.91 rounded to the nearest 10?\nAnswer: -22790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1344, -1202, -1070, -948, -836, -734, -642?\n\"Answer: -5*k**2 + 157*k - 1496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5326705905?\nAnswer: 3, 5, 53, 137, 48907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5282 - -5281.79. Which is the second smallest value? (a) -2\/3 (b) -35 (c) l (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/192 and -113\/72.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 5)*(-1 + 2 - 3)*(-2 - 1 + 5)*(43 - 43 + 21*u) to the form a*u + d and give a.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4559 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m + 5 - 5)*(0 + 0 + 3*m**2) + 2 + 1 - 19*m**2 + 21*m**2 - 2*m**3 - 7*m**3 - 5*m**3 + 4*m**3 in the form t*m**3 + k*m + h + q*m**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -10\/452005283 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -52\/757 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -40*m + 8 - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.11339kg in milligrams?\nAnswer: 45113390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - -23. Suppose 4*r + p + 0*p + w = 0, -2*r - 30 = 3*p. Let y be (16\/3)\/((-10)\/r). Solve -v = -y + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 0*n - 4*n)*(3*n - 3*n - 2*n)*(-83 + 83 + 16*n)*(3*n - 3*n - n).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030327412 rounded to 4 decimal places?\nAnswer: 0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 + 4. Let g(a) = 5*a**3 - 8*a + 23. Let w be g(3). Let v = w + -136. Let t(y) = y**2 - 2. Give v*z(u) - 5*t(u).\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -197001.73 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -260332 or -25?\nAnswer: -260332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**5 - 15*y**4 + 45*y**3 + 115*y**2 + 60*y = 0.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 less than 19452029?\nAnswer: 19452113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -1, -4*a = 5*x - 3 + 4. Let y(v) = -v. Let k(d) = -4*d + 10. Let h(l) = x*k(l) + 3*y(l). Let b be h(9). Is 0 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/14*(-235)\/((-109980)\/2184). Determine y, given that 22\/21*y**n + 0 + 2\/21*y**3 - 52\/21*y = 0.\nAnswer: -13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/23 + 336*g**4\/23 + 1758*g**3\/23 - 4844*g**2\/23 = 0. What is g?\nAnswer: -7, 0, 2, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 3*o**3 - 2 + 0*o**3 - 11.\nAnswer: -6*o**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 46 = -4*i, 2*i + 5*y + 2 = -33. Let u be ((-6)\/(-10))\/((-27)\/i). Let j = 2 - 2.1. Which is the closest to -0.1? (a) -4 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 + -9)*2 - -3. Sort 7, o, 0.2 in increasing order.\nAnswer: o, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m = -33*m + 1. Which is smaller: 53 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 7*g + 14. Let a be 3\/(-1 - (-15)\/24) + -1. Let x be b(a). Let w be (0 - 5\/(-7)) + -1. Put w, 1\/4, x in increasing order.\nAnswer: x, w, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6114 and 1038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-135*s - 14*s**4 + 135*s)*(-1 + 2 + 1)*(1 - 4 + 2) to o + q*s**2 + z*s**4 + p*s + n*s**3 and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -5, 16 in decreasing order.\nAnswer: 16, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*b - 139*b = -3*r - 163, 0 = 4*b + 61*r - 11 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 3:13 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:57 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610*-30.\nAnswer: 18300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96882 - -332256281.\nAnswer: 332159399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 16 = 3*d, 2*d - 60 = 4*m - 44 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84298 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 1, v: 2, g: 3, w: 4}. What is prob of picking 1 v, 1 o, and 1 w?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48*(-12)\/(-156)*(-273)\/(-42)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*d**3 - 232*d + 55*d**3 - 115*d**3 + (d - d + d)*(2*d**2 + 4 - 4) + 0*d**3 + 5*d**3 - 4*d**3 to n*d**3 + q*d + i*d**2 + y and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 72 = -22*f. Suppose -l = -4*d + 2*l + 27, -3*d - 2*l - 1 = 0. Let b be (-1 - d)\/(-1 - 3). Solve q + f = b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*i**3*o - 5*i**3 + 70*i**2 - 4*i*o**2 - 14*o wrt o.\nAnswer: 5*i**3 - 8*i*o - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*a + 4*a + 1287*a**4 - 643*a**4 - 10*a - 647*a**4 - a**2 + a**3 to z*a**3 + y*a**2 + u*a + l*a**4 + k and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2. Let d(r) = -2*r - 5. What is u(d(f))?\nAnswer: -12*f**2 - 60*f - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 112424947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + 0\/4 - 10\/2. Solve -j - 26 + 23 = c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3.1. Let u be (-14)\/56 - (-39)\/12. Which is the biggest value? (a) r (b) 0.6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -149, -1\/3, 6\/3001 in ascending order.\nAnswer: -149, -1\/3, 6\/3001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 - 2.76. Let u = k + 5.9. Suppose 0*v = -5*v - 10. What is the second smallest value in v, u, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 108*i**2 - i - 108. What is m(-108)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -31. Differentiate -k - 30*t**4 - 2165*t**3 + 2165*t**3 wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 231 + 468. Let i = y + -694. Sort -5, i, 1 in ascending order.\nAnswer: -5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 + m - 26)*(15*m - 3*m - 2*m) + (0*m + m - 3*m)*(m - 4*m + 0*m) to q*m + n + f*m**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-17 + 34)) + 6 - 19.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) + sqrt(2016) + sqrt(2016) + (sqrt(2016) - 3*sqrt(2016)) - sqrt(1134)*-1)\/(sqrt(1152)*4*-1).\nAnswer: -7*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*f + 6*f - 3*p + 12, 10*p = 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1536\/16)\/((-6)\/(-200000)). Round d to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1564, 3139, 4722, 6313, 7912?\n\"Answer: 4*a**2 + 1563*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 18 + 37 - 136*f to the form s*f + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -66*p + 56*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/25 + (-12358)\/(-30))*-3. What is the common denominator of -19\/88 and 2\/((-2128)\/i) + (-4)\/(-38)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 18*u**2 - 32*u + 9. What are the prime factors of j(-10)?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 3, -28, 0 in descending order.\nAnswer: 107, 3, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 518*s + 82. List the prime factors of v(4).\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*y + 10. Let v be 15\/10*2\/3. Let k(i) = 7*i**3 + 9*i**2 - 9*i - 3. Let s(h) = h**3 + h**2 - h. Let p(a) = v*k(a) - 6*s(a). Calculate p(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 26 + 50. Let w be 4\/10 + g\/10. Let c = 61 - w. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31081400 to the power of 1\/3, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (-14 + 44\/(-11))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1903 divide 526411666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + g - 2. Let q be r(-2). Suppose 3*u + 24 = 4*t, -5*u - q = 16. Solve -3*x + 8 + 1 = -t*y, -2*y - 3*x + 19 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**7*g))**47*((g\/g**2)\/g)**(-40) assuming g is positive.\nAnswer: g**(-202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-20)\/14)*92\/(-161).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129\/2 - 61. Let z = -0.53 + -0.17. Let t = -0.8 - z. Put t, 3, q in ascending order.\nAnswer: t, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1562 - 520 - 523 - 20*i**2 - 519 as m + a*i + t*i**2 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.1, -0.3, 8\/199, -6, 5?\nAnswer: 8\/199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122176 divided by 55.\nAnswer: -122176\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -3*y - 11, 2*f = y + 674 - 669 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + 97*t**2 - 20 - 97*t**2 in the form a + h*t + v*t**2 + f*t**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 24. Suppose -5*y - 4*f - 1 = -11, 0 = -3*y - 5*f - 7. Let l(k) = -k + 21. What is the least common multiple of l(y) and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*q + 1. Suppose -2*v = -7*v - 5*p - 5, -3*v - p + q = 0. Let o(s) = s**3 + 4*s**2 - 3*s. Does 18 divide o(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.330434 to 4 dps.\nAnswer: -0.3304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/35)\/((-4)\/(-10) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1743993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29868850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.95707515 to four dps.\nAnswer: 1.9571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p - 96. Suppose -z = 1, -4*c + 5*z = -c - p. Suppose -15 + c = -3*u. Solve -u*i + 2 = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + j + 1. Let w be u(-2). Suppose 5*h = -0*h + d - 98, w*h - d = -60. Let y = h - -38. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g - 81. Determine j(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**3 + 4*p - 5 + 3*p**3 - 8 - 23*p**2 - 3*p**4 + p**3 + 11 to the form s + j*p + b*p**4 + i*p**3 + u*p**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 30. What is the greatest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 e when three letters picked without replacement from {h: 4, x: 3, c: 3, j: 4, e: 2, y: 4}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112111111112121 - -2?\nAnswer: -112111111112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1055158, 2110314, 3165466, 4220614, 5275758?\n\"Answer: -2*l**2 + 1055162*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 121*j**2\/2 + 1311*j - 2408. Differentiate y(l) with respect to l.\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2182 in decreasing order.\nAnswer: 1, -1, -2182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 + 3*c**2 + 4*c**3 + 60 - 58 as w*c + a*c**2 + n*c**3 + t and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7832 - -7827.3748. What is a rounded to two dps?\nAnswer: -4.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*y - 59*y**3 + 44*y - 40*y to l*y**2 + b*y**3 + r + z*y and give b.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d - 3. Let n(y) = -3*y**2 + 29*y + 7. Let x be n(10). Calculate o(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 = -7. Let o be -2*((-6)\/4 + -1). Suppose -4*f - y + 16 = 0, 0 = o*f - 0*y + 2*y - 23. Sort f, m, -4.\nAnswer: -4, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373561571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383368 - 252432 = 96*w - 673928. 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 39\/(-8) - 24\/192?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66 and 23.8?\nAnswer: 89.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0 - 8 = -a, 5*b + 10 = 5*a. Let c = 21 - a. Suppose t - 21 = -3*d + 2*d, d + 5*t = c. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 - 2 + 4*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(624))\/sqrt(12))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = 8*h. Suppose 31*m - 29*m - 60 = h. Solve 2*l = -5*i - 19, -5*l + 3*i + m = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.096, -95, -4?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*v + 3*z, -3*z + 24 = 5*v + z. Suppose 2*n + 3 = k - v*k, 0 = 3*k - 3*n - 12. Let i(a) = k - 2 + 0 + 9 + a. Calculate i(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124 + -64. Let i = w - 60.3. Let r = 5 + -3. Sort r, -0.5, i.\nAnswer: -0.5, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -9. Let i(u) = 6*u**2 + u - 1. Let x be i(b). Suppose -5*l + 280 - 44 = -2*d, 2*d = 3*l - x. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 + -34?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 + l - 1. Let i be v(1). Let p = 4 - 3. What is the nearest to 1 in -0.5, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6957.6229 take away -0.28?\nAnswer: -6957.3429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -98959 and 12397.\nAnswer: -1226794723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 184 + 176. Let o be (94 + -86)*-4*(-3)\/96. What is the greatest common divisor of o and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 1234*w - 22157. Give q(18).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77252 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18985 divided by 442\nAnswer: -18985\/442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n**3 - 3*n**2 - 6*n - 1. Let k(x) = 8*x**3 - 2*x**2 - 7*x - 1. Determine 4*k(d) - 5*p(d).\nAnswer: -3*d**3 + 7*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31333.\nAnswer: 31333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.38678 less than 0.4?\nAnswer: -73.98678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 56*r + 519. Let f be p(11). Put f, -5, 3, 0, -4 in ascending order.\nAnswer: -5, -4, 0, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 11 = -17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229 - 141. Calculate the highest common factor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -416*j**3 - 414*j**2 - 127*j - 12 = 0?\nAnswer: -1\/2, -4\/13, -3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21059, -21286, -21513, -21740?\n\"Answer: -227*h - 20832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -9. Let f = -40 + 40. Put k, -1, f, 2\/3 in increasing order.\nAnswer: -1, f, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (1 + 2\/2). Let u(b) = b - 5. Let t be u(5). Let p be j - (t + 1)*-2. Calculate the highest common divisor of 14 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 1440.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 456 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 56 - 6*y + 14.\nAnswer: -4*y - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-16))\/s)**5*s**(-5\/13)\/s*s**(2\/7))**48 assuming s is positive.\nAnswer: s**(344640\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -507, -800, -1093, -1386, -1679?\nAnswer: -1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(1100) - (0 + sqrt(1100))))**2 - (sqrt(1100) + -1 + sqrt(1100) + -2)) + (-2*(sqrt(1100) + 0) + 3 + -1*sqrt(1100))**2 + 1.\nAnswer: -200*sqrt(11) + 9913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1003, 1991, 2981, 3973, 4967, 5963, 6961?\nAnswer: 7961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -48891, -48751, -48611, -48471, -48331?\n\"Answer: 140*h - 49031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2076.935kg?\nAnswer: 2076935000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0459 - -264.0459. Let u = 264.000556 - a. Round u to 5 decimal places.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 33*q**2 + 12*q - 12. Let p be y(1). Let g = 19 - p. Let o be ((-119)\/g)\/((-2)\/(-28)). Calculate the highest common divisor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6*w)\/w*w\/(w*w\/(w*w\/(w\/(w\/(w*w**(-1\/3)\/w)))*w)))\/(((w*w\/w**0)\/w)\/w**(-2\/5))*((w**1\/w*w*w)**1)**(-1\/5) assuming w is positive.\nAnswer: w**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 5*f**2 - 7*f - 9. Let m be l(-6). Let j(p) be the first derivative of -p**4\/4 - p**3 - p**2 + 2*p - 99. Determine j(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -61. Let p(w) = -w**3 + 7*w**2 - 8*w - 5. Let m(x) = 5*x**3 - 28*x**2 + 32*x + 19. Let s(u) = l*m(u) + 9*p(u). What is the tens digit of s(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*w**3 + 15 + 1 - 37*w**3 to h*w + y*w**3 + j + b*w**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48353, 96692, 145023, 193346, 241661?\n\"Answer: -4*q**2 + 48351*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -2. Let w(j) = j**2 + 3*j + 4. Let i be w(-4). Find the common denominator of 41\/3 and ((-57)\/i)\/((-1)\/a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4297 + -38675\/9. Put -1\/3, -3, n, 3, 9 in decreasing order.\nAnswer: 9, 3, n, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2.8. Let n = -411\/1676 + -2\/419. What is the biggest value in n, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 252535, 502218, 751913, 1001626, 1251363, 1501130, 1750933?\n\"Answer: o**3 + 249676*o + 2858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v - 50*v = -16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/452294070 and -67\/60?\nAnswer: 904588140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89\/370 - -3\/74. Let w = 7250.8 - 7250. Which is greater: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -20*j**2 - 22*j - 4. Let m be h(-3). Let z = m + 122. Solve -4\/5*p**5 + 2\/5*p + 6\/5*p**z + 2\/5*p**3 - 6\/5*p**2 + 0 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (-17 + -1)*2\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**2\/2 + 18*y - 10. Let s be k(13). Let j = s + 14. What is the greatest common factor of 171 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 966307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47705, -190904, -429571, -763706, -1193309, -1718380, -2338919?\n\"Answer: -47734*c**2 + 3*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from cddllslssdtdstdtdslm.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -199172\/35 at least as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-60)\/(-64)*-3838. Let y = 3591 - r. Calculate the common denominator of y and -33\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4*y + 16 = 0, -5*f - 17*y - 955 = -975 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 80 = -0. What is the second derivative of h*t - 4*t**2 + 0*t**2 - 5*t**2 - 4*t**2 wrt t?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 18 - (-6 - (4 - 8 - -3)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + l - 2, 0 = k + 4*l - 2 + 1. Let b(z) = -k + z + 2*z + z**2 - z - 3*z. Let r be b(1). Let q(x) = 2*x**3 - x**2 - 2*x - 1. Calculate q(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4045.9 + -4046.1. Let j be ((-1)\/(-3))\/(42\/(-72)). Let r = -3 + 2.5. What is the nearest to 1 in h, j, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/10*15\/(-2). Suppose 3*j + j - 5*x = -1, -3*j + 5 = 2*x. Let l be 5\/(-15)*(1 + j). What is the third biggest value in l, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12633.\nAnswer: 3, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(1 - -3))\/((-6)\/3). Let m be ((-57)\/12 + l)\/(3\/(-16)). What is the greatest common divisor of 220 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 21406 - 21406 + 148*z. Let m(h) = -12*h. Determine j(m(r)).\nAnswer: -1776*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*(-60)\/(-80)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81862216 by 118298.\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + n**2 - 87*n + 177*n - 83*n)*(-2*n**2 - 2*n**2 + n**2) in the form x*n + r*n**3 + l + s*n**2 + j*n**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10578*w - 53143. Give c(5).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.04, 0.15, -0.4, -22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-seven fifths of a microsecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:32 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*(1*sqrt(5472) + (sqrt(2432) - ((1*sqrt(2432) - sqrt(2432) - sqrt(2432)) + sqrt(2432))))\/(-4*((sqrt(6)*2)\/sqrt(3) + sqrt(2))))*1.\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 13, y: 3, l: 2}. Give prob of sequence lym.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 0.1. Let f = 61.163 + -1.263. Let o = f + -60. What is the smallest value in 2, o, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-14)*i**(-10))**(-2\/7)*(i*i**(-1\/5))**(-2\/59)*i*(i\/(i*i**7*i))\/i*i**(1\/2) assuming i is positive.\nAnswer: i**(-2767\/4130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 4*d + 5. Let f be ((-2)\/3)\/((-6)\/36). Calculate b(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010 (base 3) to base 9\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -12*v + 112. Let n(l) = v - l - 20 + 2*l. Let a be n(-8). Put 0.5, 0.2, a, -1\/6 in increasing order.\nAnswer: -1\/6, a, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 3*n + 2. Let i be t(5). Suppose c - i = -2*c. Solve -6*o + c*p + 26 = -o, 2*o = -3*p - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6842 divided by -21\nAnswer: 6842\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137825 divided by 5.\nAnswer: -27565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (0 - (45 + (-13 - -5)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20298499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.073 + -7.073. What is the biggest value in 1, p, -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1053*r + 124. Is f(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -472 - -577. Let r(z) = -2*z**3 + z**2 - z - 1. Suppose -l - 2 = -0*l. Let j be r(l). What is the greatest common divisor of j and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymu when three letters picked without replacement from {u: 5, v: 1, y: 4, q: 1, m: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8628869650 less than -1?\nAnswer: -8628869651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 5*i**2. Let p be x(5). Let n be p - 8\/(-2)*1. Suppose -n*y = 688 - 9156. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/81 (b) 0.1 (c) 0.14427 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 171 + -169. Solve 4*r - o*m - 2 + 6 = 0, -r = -m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 0 + -1 - -3) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/6)\/((-70)\/(-105))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/2329 and 87\/34?\nAnswer: 4658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - b = -3*i - 40, 4*i + 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1232*h = 1233*h - 149797. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*n**3 + 213*n + 217*n + 218*n - 651*n)*(2 + 2 + 1).\nAnswer: -300*n**3 - 15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1741126, -6964528, -15670198, -27858136, -43528342?\n\"Answer: -1741134*w**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*(4 + sqrt(637) + 0))**2*-6*-3.\nAnswer: 403200*sqrt(13) + 4701600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1137364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-24)\/(-42))\/((-4)\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 243, 312, 347, 348, 315, 248?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 26 + 50 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:14 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + (sqrt(110) - -2*sqrt(110)*-1) + sqrt(110)))\/(sqrt(40)\/(sqrt(28)\/sqrt(7))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let j(i) = -2*i**2 - 1633*i + 3406*i - 1708*i + 5*i**2. What is j(y(g))?\nAnswer: 12*g**2 + 130*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 812, 1601, 2384, 3161, 3932, 4697?\nAnswer: 5456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 20 = -2*u, 27 = 4*u + 3*a + 15. Solve -4*n = 3*h - 28, 2*h + 2*n + u*n = 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 + 53 = 24*c. Suppose -8*b - 12 = -12*b, d + 5*b - c = 0. Suppose g - 5 = -4*g. Solve -j + d = -g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 2. Let t be (-22)\/(-4) + q\/4. Suppose 137*g - 160*g - 46 = 0. Which is the closest to g? (a) t (b) -3\/7 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 - 1785*l**3 + 5373*l**2 - 5379*l + 1794.\nAnswer: -3*(l - 1)**3*(l + 598)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4680270 divided by -5985?\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4079378931\/1625074 - 1\/147734. Let d = -2512 - m. Let b = 597 + -1127\/2. Find the common denominator of b and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, -57, -86?\n\"Answer: -29*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -102 - (1 - -64).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5599 + -0.0201. Let v = t - -4.58. Let w be 0\/(-1) - (-2)\/6. What is the closest to w in 0.1, v, -5\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 962.0812 tonnes?\nAnswer: 962081200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - x - 21 = 0, -1 = -2*a - 4*x + 23. Suppose a*r = 3*r - 3. Let v(y) = -14*y. Is 14 a factor of v(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {w: 5, n: 2, h: 1, u: 2, g: 8, x: 2}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 0, 5*z = -g - 15 - 5. Let v = -8 - z. Let c be (-1 + -1)*6\/v. Solve -c = s + 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86108 = -3*f - 6*f - 10*f. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -113 in -1, -98, 0.03?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 - (6 - (8 - 5)) - 5. Put 1\/4, -1, x in descending order.\nAnswer: x, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 0 = -15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 - (-1)\/2. Let t = -4 - -9. Suppose 0 = t*j + x - 0*x - 27, -3*j - x + 17 = 0. Put j, i, -5 in increasing order.\nAnswer: -5, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.91 + 1.9. Let h = -31.024 + 31. Let o = -0.224 - h. Which is the nearest to 1\/2? (a) 0.4 (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -19*b - 7. Calculate the remainder when (1 + -6)\/(-15)*99 is divided by q(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3359, 13463, 30325, 53963, 84395?\nAnswer: 121639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 16*w - 28. Determine q(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22078 by 14.\nAnswer: -1577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.036 + 4.036. Which is the nearest to -9? (a) r (b) 1 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**9\/(w*w*w**(-3\/7))*(w**0)**(-25)*(w**1\/w**11)**(10\/9) assuming w is positive.\nAnswer: w**(-232\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 1. Let y(q) = 4*q + 3. Let l(i) = 3*p(i) + y(i). Suppose 0 = -3*c + c. Let z(u) = u**2 + c*u**2 - 3*u**2. Calculate z(l(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 2 - 1\/2*j**4 - 25\/2*j**2 + 9*j - 20\/3*j**3 - 1\/30*j**6 + 2\/5*j**5. Determine r so that b(r) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-8)*((-2)\/35)\/(100\/50)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12643807)\/(-221925) + 2\/75\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321 + 122?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(833) + -1 - sqrt(833) - (1 + sqrt(833)*2))*3)**2.\nAnswer: 756*sqrt(17) + 30069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**2 - 4*q**5 + 3*q + 20*q**3 + 8 - 11*q**2 - 19*q + 2*q**4 = 0.\nAnswer: -2, -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9*h = 20. Suppose -4 - 16 = -h*k. Suppose 40 = 2*x - 2*q + 3*q, k*x - q - 100 = 0. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -4 + 7\/2*m**2 + 3*m + 1\/3*m**3. Calculate t(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - 7*y + 3*y)*(3*y + 2*y - 3*y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*b - 25. Let y = 13 - b. Let d(m) be the first derivative of -m**3\/3 + 11*m**2\/2 + 14*m + 4. What is d(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 13972776\nAnswer: -7\/6986388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**2*u - 2*t**2*v**3 + t**2*v - 16*t**2 + 56*t - 36*u*v**3 - 6*v**4 wrt v?\nAnswer: -12*t**2*v - 216*u*v - 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 + 12*b + 9. Let p(r) = r**2 + r + 1. Let z(a) = 5*p(a) - x(a). Calculate z(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 167303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 17*d**2 + 15*d - 12. Let c be s(-16). Put -4, c, -11 in increasing order.\nAnswer: -11, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -2) + (-3 - 0). Let q be (-7)\/(-21) - o\/(-3). Let g = 1 + q. Solve -2*x - 1 = g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -24. Suppose 0 = 9*r - 7*r - 48. Let m = r - 23. Is f less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 17*m + 37. Give b(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -16 + 16 + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*w - 25 + 9 + 16 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 10*z - 2*b = 2, 0 = -z + 5*b + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5907789, -5907792, -5907795, -5907798, -5907801, -5907804?\n\"Answer: -3*t - 5907786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93425*b = -93499*b + 1850 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 2*k - 3. Let q be a(6). Let w(t) = -t - 4. Let d be w(-4). Suppose -4*p + 52 = 2*z, p = 2*z - d*p - q. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (561*o - 561*o + 14*o**4)*(-6*o + 14*o - 5*o).\nAnswer: 42*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-9*2*3\/(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2208 - -2262. What is the greatest common divisor of 4 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-12) + (-2)\/(-3). Let l(v) = 3*v**2 + 1 - v**2 - 2*v**a + 2*v**2 + v. Let b be l(-1). Which is bigger: 3\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -397 - -396.2. What is the biggest value in g, 1\/3, -1\/3, -5\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 674.7 to the nearest 10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4 + 4 - 4*i + 2*i - i**2 - 5*i**2 - 1 - i**3. Determine u(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -211451969?\nAnswer: -211451969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x - 6*x + 4*x)*(-10*x + 21*x - 9*x)*(1 - 3 + 0)*(-1 - 1 + 0)*(2999 - 2999 - 12*x) to the form v*x**3 + f*x + u + m*x**2 and give v.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 10 + (1 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28c933 (base 15) in base 5?\nAnswer: -1000410243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1460671*z**3 + 629090*z**2.\nAnswer: 8764026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d32a69 (base 14) to base 9.\nAnswer: -14343231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = -12. Let v(n) = -7*n**2 + n**3 + 4 + 2*n**2 - 4 + 4*n. Determine v(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.2792 to one dp.\nAnswer: 39.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-1)\/(4 - 5). Calculate the greatest common factor of x and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - ((-56)\/(-8) - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -274000.87 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: -9 + 112 + -118 + (0 - -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - 11 - -5 - -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1530\/204)\/(9\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -10)*7\/(-2115 + 1)\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 e, and 1 t when three letters picked without replacement from {s: 3, m: 1, g: 7, e: 2, t: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - 2*sqrt(171)*4 - (sqrt(171) + 1*1*sqrt(171) + sqrt(171)))\/(sqrt(729)*1 - -3*(sqrt(144) + sqrt(9))).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -6. Suppose 3*p + 9 = 3*d, -m = d - p - 4*p. Let l(o) = o + 6. Let z be l(d). Solve -z = h + 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*j - 77520 = 38*j. Let y be (-4)\/10 + j\/380. Solve 16*v = 21*v - y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 - 365 = -122*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-30)*(-39)\/9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 - 67. Solve -10*j = -5*j - m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 873149 = 29*u - 509611. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -3702, -2 in increasing order.\nAnswer: -3702, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -479, -1262, -2049, -2846, -3659, -4494, -5357, -6254?\nAnswer: -7191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 471 and (2\/7)\/(6\/(-10 + 178)).\nAnswer: 3768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5283, -10967, -16651, -22335, -28019?\nAnswer: -33703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407 - 142 - 11*y - 14*y - 10*y - 121 - 145.\nAnswer: -35*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-9) + 229\/(-18)*10. Let y = i - -537. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) -11746 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -351, 2 in decreasing order.\nAnswer: 2, -2, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1482068 - 2235268. Round k to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 174, 310, 390, 408, 358, 234?\n\"Answer: -z**3 - 22*z**2 + 209*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 i when three letters picked without replacement from wifffixiffiiiffff?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*u, -592 = -2*r + 2*u + 384. What is the remainder when r is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = -6, -s + 80 = v. Suppose 28 - s = -3*d. Calculate the smallest common multiple of d and 24*((-24)\/(-9) - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1440 + -1435. Solve x*t + 8 = -17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 5:41 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 183079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -18, -11, 0, 15, 34, 57?\n\"Answer: 2*o**2 - 3*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-98)\/16 - -3) + 48\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 60*j = 3601962. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 9 = -53. Suppose -361 + 217 = -8*k. What is the smallest common multiple of v and k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171328 = 2422*g + 255*g for g.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1524 and 0.5.\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j - 543 - 523 = -43*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 1:07 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/551 (b) -30 (c) 2 (d) 208\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108482, -215981, -323480?\nAnswer: -430979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 367 - 362. Suppose -u*i - 8 - 2 = 0, 3*w - 457 = -i. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17937 and -0.657.\nAnswer: -17937.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 8)*2\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 4*(-1918)\/616) + 91\/187\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*((0 + sqrt(847) - sqrt(847)) + sqrt(847) - sqrt(847)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2572390 and 1.74.\nAnswer: 4475958.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -462.08\nAnswer: -92.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/(2*4\/(-52)). Let x = r - 183. Suppose -3*i = q - 76, -q = 4*i + 4*q - x. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 11:40 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2013*i + 28345 + 100709 = 26391 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*g + 11 - 1 + 16*g)*(3 - 5 - 4).\nAnswer: 6*g - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 266142906 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720 divided by 4.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85c1c (base 16) to base 14.\nAnswer: 103936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0 = -d + 7, 2*t - 28 = -4*d. Suppose -19 - 33 = -i. Calculate the remainder when i is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7*n**5)\/(((n\/(n**7*n))\/n)\/n**(1\/8)))**(-3\/10) assuming n is positive.\nAnswer: n**(-483\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8*b*b)\/b*b**(-13))**28 assuming b is positive.\nAnswer: b**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((24*d**2 + 19*d**2 - 12*d**2)*(1 - 1 + d) + d**3 - d**3 - d**3)*(7*d - 3*d - 3*d) to g + r*d**3 + f*d**2 + t*d + u*d**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1213, 1236, 1247, 1228, 1161, 1028, 811, 492?\n\"Answer: -3*p**3 + 12*p**2 + 8*p + 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 - 5*b - 3. Let g be z(-1). Suppose g - 435 = -4*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -6. Let f be (-4)\/7 + 10 + p. Let a = -1\/14 - f. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - g = 3, 0 = g + 223 - 222 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 27*x - 5. Let v(k) = -2*k - 16. Let w be v(-11). Suppose w = -3*i + 24. Is n(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 7*j**2 - j + 9. Let d be (32\/(-12) + 3)*21. Let a be i(d). Let x(l) = -2*l**2 + 3*l. Let v(w) = -w**3 - w**2 + w. Calculate a*v(n) - x(n).\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 4:09 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*(-33 - 11228\/(-336)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17154, 6539, -4078, -14697, -25318, -35941, -46566?\nAnswer: -57193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 13) + 2 + -4 + 12 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - 48. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 1\/4*x**4 - 5\/2*x**2 + x**3 + 3*x + 4. Let r be -1*3 - (0 - -1). What is p(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(4 - (-127 - -4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15 (b) 399000 (c) -2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*y**4 + 3*y**3 - 247*y**2 - 174*y + 8195015.\nAnswer: 12*y**3 + 9*y**2 - 494*y - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5.48*1874\nAnswer: 10269.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*o**2 - 140*o - 46 = 0. Calculate o.\nAnswer: -23, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6763997\/141 - -47971. Let k = -16243\/2820 - a. What is the common denominator of k and 23\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 11) to base 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -114 + 6?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4610\/33192)\/((-1)\/28) - (-3 + 1).\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 6:46 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 11.36752051?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2 - 0. What is the remainder when 33 - 3 - 1\/h is divided by ((-28)\/21)\/(12\/(-99))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 10. Let p = n + 8. Suppose -3*q + 69 = 2*v, 0 = -p*q + 2*q + 5. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27433 + 27545 = 8*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6 + 156 = 0. Let x = p - -80. Let t = -0.25 - -2.25. Which is the fourth smallest value? (a) 3\/2 (b) t (c) 0.7 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70763?\nAnswer: 7, 11, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28885805 + 0.289. Round d to six decimal places.\nAnswer: 0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 7:33 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1897 + -423. What is the highest common divisor of j and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 54, 5, -3010 in ascending order.\nAnswer: -3010, -64, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)*5 - sqrt(195)\/(2*sqrt(5)))\/(-1*(sqrt(24)\/sqrt(4))\/sqrt(2)).\nAnswer: -39*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x. Let b(s) = -22*s**2 - 17*s**2 - 18*s**2 + 67*s**2. Determine b(w(f)).\nAnswer: 1690*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15153?\nAnswer: 3, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -17\/3*k**3 - 49\/24*k**4 + 21*k**2 + 0*k + 0. Differentiate g(d) wrt d.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i. Let l(u) = 46*u - 24. Let w(a) = -3*f(a) - l(a). Find the first derivative of w(z) wrt z.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 22) + (0 - (3 + -22)) + -30.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 19*d**2 + d. Let s be f(-1). Suppose 3*a = -3*z + s, -3*z + a + 8 = -6. Solve 0 = -q - 4, -4*k - z*q = -2*k + 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00859393 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9575.\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1571*c + 28448 = -555*c for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3*i = 6, 3904*i = -6*y + 2*y + 3908*i - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h**2 + 14*h + 10. Let y be v(5). Solve -u = -n + 4*n, 5*u = -y*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25495, -50803, -76099, -101377, -126631, -151855, -177043?\nAnswer: -202189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t**3 + 5*t**3 + 2*t + 5*t**3 - 3*t**3 to r*t**2 + m + d*t**3 + g*t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 greater than 68893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 19.7 (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2515?\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 10. Let g be t(8). Find the second derivative of -g*r**2 + 2*r**2 - 4*r + 2*r**2 wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*v + 17 = -2*m, -4*m - 8 = -5*v. Let j = -10 - -12. Suppose -4*u - j - 18 = -4*c, c = -4*u - 15. Put m, -2, u in descending order.\nAnswer: m, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2242)\/(-247) - (66 - 57).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2917 divided by 36134?\nAnswer: 2917\/36134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**3 + 4*v**2 - 687*v - 2058. What is t(-3)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135093789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 - 3 = 0. Let h(o) = -o**3 - 12 - 6 + 20 - o. Let w be h(c). Which is greater: w or -9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1398802 - -1?\nAnswer: -1398801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -45. Let h = 4 - 0. Suppose 5*d = -3*c + h*d + 35, -d - 37 = -3*c. Calculate the greatest common factor of c and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4257 - -1?\nAnswer: -4256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1441559434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/431, 1, 0.3, -2\/11, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.10745 + 0.12245. Let m = -0.323 + -2.692. Let z = m + v. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:33 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-24))\/((28\/(-8))\/(-7))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.67162 nanometers?\nAnswer: 0.00000867162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)\/r**(2\/7))**(-46) assuming r is positive.\nAnswer: r**(598\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51110376?\nAnswer: 2, 3, 2129599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13088.81 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354541440 (base 6) to base 11.\nAnswer: -3845a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -4*p**3\/3 + 45*p**2\/2 - 7*p + 1332. Let h(m) = m**2 - 15*m + 2. What is 14*h(d) + 4*i(d)?\nAnswer: -2*d**2 - 30*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91020*p + 91035*p + 15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 5, 1\/11, -13, -0.1, -1\/8 in increasing order.\nAnswer: -13, -1\/8, -0.1, 1\/11, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 81.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 73*g + 80. Let w be l(-1). Let z(t) = t**2 + 7*t - 2. Let j be z(-5). Let a be 4*2\/j*-33. Solve -3*p - w + a = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536168 divided by -4?\nAnswer: -134042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -45 + 0*h - 1\/60*h**5 - 7\/2*h**2 + 2\/3*h**3 + 5\/24*h**4. Let k(f) be the second derivative of z(f). Calculate k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrarrrrr. Give prob of picking 4 r.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -34. Let c(i) = i**3 + 18*i**2 - 10*i + 174. Let t be c(-19). Put t, g, -2, 4 in descending order.\nAnswer: 4, t, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1839740*q**2. Let y(o) = 5*o**2. What is y(k(u))?\nAnswer: 16923216338000*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 + 2)*(8\/5)\/(-2). Let v be 1130\/4*u\/(-10). Let j = -153 + v. Is 31 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1613544 divided by 2\nAnswer: -806772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768 is divided by 231?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2*c - 2)*(4 - 8 + 12) - 5*c + 3*c + c + (-2 + 1 + 3)*(-c + 2*c + c))*(-2*c - 3 + 3) to q*c**2 + r*c + o and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)\/((l*l**(-2\/17)*l*l)\/l))**(-30\/11)\/(l**(-5)*l*l*l**1*(l**(2\/7)\/l)\/(l\/((l\/(l\/(l*((l\/(l**(1\/2)\/l))\/l)\/l)))\/l*l))) assuming l is positive.\nAnswer: l**(19475\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3419007101 to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 7. Let r be u(-6). Suppose 9 - r = -4*q. Let n be q*(1 - 2) - 63. Round n to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 63*w**3 - 12 + 64*w**3 + 0*w**2 + 10*w**2. Let y be j(-10). Let t be 34\/(-10) + 198\/(-330). Sort 4, 5, y, t.\nAnswer: t, y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -56, -66, -56, -20?\n\"Answer: v**3 + v**2 - 34*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(k**3 - 3*k**3 + 5*k**3) + 173*k**3 - 7*k**2 - 88*k**3 - 89*k**3 - 1.\nAnswer: -10*k**3 - 7*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/1 - (-257 + 241). Let k(v) be the second derivative of 0 + 0*v**5 + 0*v**4 + 0*v**3 + 11\/2*v**2 - 1\/6*v**p + 13*v. Differentiate k(h) wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (584043\/(-180) - (-14)\/(-210))*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2767 is divided by 62?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 2, 1.3145, -3\/2 in descending order.\nAnswer: 30, 2, 1.3145, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69805486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*c - 81108, 243205 = 6*c + 20*n - 25*n. List the prime factors of c.\nAnswer: 2, 5, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 19. Let f = 42 - 26. Let x be k(f). What is the units digit of (6\/8)\/(x\/(-600)*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-402)\/(-22) + 880\/1210?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30*((-24)\/(-15) - (-20)\/(-25)) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 23713, -5, 1, 2 in ascending order.\nAnswer: -9, -5, 1, 2, 23713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w**(2\/5)\/w)\/w)\/w)**(1\/2)*w*w**(-4\/7)*w\/((((w*w*w\/(w**0*w)*w*w)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/123 and -31\/53329.\nAnswer: 6559467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*f - 3*o, 0 = 4*f - 2*o - 8 - 10. Suppose -2*w + 1 = -7, 18 = 2*l + 3*w. Solve -x - 13 = y + 3*y, -3*x - f = l*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 5. Suppose -53 = 5*y - 8. Let r be t(y). Suppose -5*j + 25 = o - 2*o, 3*j = 3*o + 15. Which is the nearest to 2\/7? (a) -2 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*x**2 - 1730*x - 11*x**3 - 1736*x + 5203*x - 1737*x in the form p*x**2 + z + m*x + v*x**3 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/10 - x**4\/4 + 2*x**3\/3 - 3*x**2 + 4*x. Let i be b(4). Suppose -2*a = 3*a - i. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6609512 is divided by 187.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 51895784.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:31 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 + 98. Suppose 2*m + 44 = -3*f + 8*f, 0 = f + m - d. Suppose -f*x = -1 - 63. Solve -x*h + 3*h - 15 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 243*g**3 - 8 - 110*g**3.\nAnswer: 133*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**3 - 1426112*l**2 + 127107936340*l + 762698958936 = 0.\nAnswer: -6, 178267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2493053 is divided by 748.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003011617 to five dps.\nAnswer: 0.00301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -4531?\nAnswer: -4532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -25072859.56 to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2351160 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = 5*n - 37, 0 = -3*n - 2*i + 24. Suppose n*r - 6 - 6 = 0. Calculate the least common multiple of (-218)\/(-14) - 6\/(-14) and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let h = r - 1. Let d be (-1 + 4\/4)\/1. Solve d = -5*c - h - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -105. Suppose 0*x - r = 2*x - v, 5*r = -x + 40. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o. Let s(z) be the third derivative of -z**4\/12 + 2*z**2. What is s(k(b))?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 4*i - 5. Let j be y(-5). Suppose -b + j*b = 2*s - 15, 4*s - 44 = -4*b. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**5\/35 + 5*b**4\/14 + 37*b**3\/21 + 30*b**2\/7 + 36*b\/7 + 18. Factor r(j).\nAnswer: (j + 2)**2*(j + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -421 + 383288\nAnswer: 382867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -158*z**3 + 2. Let k be m(-1). Let h = -1112\/7 + k. Which is the nearest to -2\/5? (a) 0.4 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5574 or -1692?\nAnswer: -1692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1209 divided by 93.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-three eighths of a litre?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(528)\/sqrt(11) - (sqrt(27)*-1)\/sqrt(9).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*a - 6*r + 12, -2 = -5*a + 4*r. Let f be a - -3*80\/(-114). Let d = 0 - 0.3. Put d, f, -4 in decreasing order.\nAnswer: f, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 10*j + 18. Let d be b(-8). Suppose -d*o + 111 = 39. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*m**3 - 1 - 74*m**3 + 33*m**3 + 17*m**3 + 1.\nAnswer: 84*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -750407, -750066, -749725?\nAnswer: -749384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816.331um to meters.\nAnswer: 0.000816331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.15 + -0.45. Which is the smallest value? (a) 1\/5 (b) -1\/30 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101643.109 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.2, -0.3, -180492?\nAnswer: -180492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.3, -3\/242, -2\/49545 in decreasing order.\nAnswer: 1\/2, 0.3, -2\/49545, -3\/242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2487)\/17409)\/(1\/504).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -23. Let c be 95862\/702 + (1\/6)\/((-9)\/(-24)). Let p = c + q. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-10)\/(-980))\/1?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 0 + 9 - 2*o)*(-3*o + 4*o + o)*(-5 + 2 + 0) as h + i*o + c*o**2 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 4:31 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/12 + 2\/(-3). What is the third smallest value in -0.4, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 j, and 1 d when three letters picked without replacement from {f: 4, y: 1, d: 1, j: 5}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 4*c - 3*s, 0*c - 3*c + 4*s = -35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 59 - 79 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 56?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -13189*z - 540691. Determine u(-41).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.29 and 3140.\nAnswer: 910.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 5. Let l be s(-12). Suppose -l*q + 43 = -42*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010111010001 - -1000101?\nAnswer: 1111011000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.49 + -9.29. What is the smallest value in -0.3, c, 320?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 691 and -123.815.\nAnswer: -85556.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3 + 7 - l**3 in the form z + k*l + r*l**2 + f*l**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + 0 + (-142402)\/17810. Let s = f - -1361\/2055. Factor -2\/3 - s*x**2 + 4\/3*x.\nAnswer: -2*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 - -86. What is the greatest common divisor of 117 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**3\/3 + 3*b**2 - 3. Let x be k(6). Solve x = 4*i + 19 + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-22))\/(12\/(-26928)*-51)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 11. Solve o*x - 5*x - 25 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 43.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110203313 (base 5) to base 16.\nAnswer: 74142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) + 2 + sqrt(75) + 1 - sqrt(75)) + 0)*4 + (sqrt(75) - (sqrt(75) + -1*-4*sqrt(75))) + 4*sqrt(75) + 5 + -2)**2.\nAnswer: 600*sqrt(3) + 1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 8*d**2 + 8*d + 2. Let m be v(7). Let s = 6 - m. Let u(z) = z + 1. Let a = -4 + 9. Let r(y) = 2*y + 1. Determine a*u(c) + s*r(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 563364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n - 3. Let v(z) = -8*z + 3. What is 6*p(a) + 5*v(a)?\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Factor 6*c**3 + 3*c**4 + 2*c**3 - 14*c**3 + 0*c**o.\nAnswer: 3*c**3*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 8. Let g be d(-4). Suppose 0*k = 2*k - 2*w + 2, 2*w = 4*k - g. Solve 0 = -k*u + 3 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2253393058, 2253393060, 2253393062, 2253393064?\nAnswer: 2253393066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*v - 16*v - 20. Suppose 274 = v*d - 2*z - 840, -1108 = -5*d - z. List the prime factors of d.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2 and 5\/14094?\nAnswer: 14094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15680619719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, o: 13}. What is prob of picking 2 e and 1 o?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11778 is divided by 10237?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 4:52 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -16*l + 8. Let w(y) = 5*y - 3. Let c(a) = 3*r(a) + 10*w(a). Let u be c(5). Suppose -3*g = -2*s + 12, u - 34 = -5*s - 5*g. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423030805.\nAnswer: 5, 7, 1597, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 332926614*v**2 + 137686272 wrt v.\nAnswer: 665853228*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 29*b**2 + 31*b + 25. Let i be h(-30). Let s be (-26)\/6 + (-2)\/(-6). Let y = 5.399 - 0.399. What is the third biggest value in -0.2, y, s, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1135376 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 312140 in 1, -2\/77, -0.5, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v + 2*v**2 + 2 - 20*v - 5*v**2.\nAnswer: -3*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -92 in increasing order.\nAnswer: -92, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -11050?\nAnswer: 11035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) -5 (c) -0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19826253.9999875 - -19826022. Let s = 232 + o. Round s to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -5*a - 271, 5*a = 5*l - 13849 + 6802 + 6797 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*k - k - 18, -3*k - 1 = 2*z. Let i(s) = z + 2*s + 5 - 1 - 4*s + s**2. What is the units digit of i(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -54. Let q = o - 3. Is 1\/2*(1559 + (-21)\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14 - -21)\/(1\/1). Let j be 12\/42 - 142\/o. Let c be j\/(-4) + 0\/(4 + -2). Calculate the highest common factor of c and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3697 + -1912. Calculate the remainder when t is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/18 + (-151)\/(-6). Suppose -5*j = z, 5*i = 3*i - 4*j - 20. Find the first derivative of 3*k + 2 + i + 1 wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a - 2*a)*(4 - 4 - 1)*(0*a + 5*a - 3*a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52715 - 160621\/3. Let r = h + 835. Calculate the common denominator of -145\/24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19551425?\nAnswer: 5, 782057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-1*2217)\/3. Let y = 119 + g. Is y\/8*(-6)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 6 = -2*r, 4010 = -2*s + 4014 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 34*i - 7 + 0 to b*i + y and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/50765 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 43 + (-1 + 2 + -3)*1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/19 + 16\/(-16). What is the closest to 1 in -1, z, -5, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 0)*3\/6. What is the smallest common multiple of 3 and z\/(-1) + 22 + -17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-41 - -11) - 1418\/(-12). What is the third derivative of -d*n**4 + 2*n**2 - 25 + 3 - 98*n**4 - 35*n**4 - 8*n**4 wrt n?\nAnswer: -6216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.7768 + 1.859. Let a = -0.0222 + k. Let z = a + 7. Is -1\/2 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -728 times 5765\nAnswer: -4196920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.3214 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*a*d**3 - 3*a*d**2 - 25*a*d - 10*d - 2 wrt d?\nAnswer: -462*a*d - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 20 = -4*t, 4*c - t + 5*t = -32. What is the hundreds digit of (-1298)\/c + 66\/(-132)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1158*h - 2 - 4*h**2 + 1165*h + 6*h**3 - 2321*h + (7*h - 7*h - 5*h**2)*(-4*h + 4*h - 3*h) to v*h**2 + b*h + k*h**3 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 0 + -3 + -2 - (-1 + sqrt(44)\/(sqrt(20)\/sqrt(5)) + 3))**2.\nAnswer: -154*sqrt(11) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5465 + -655. Let g be (-40)\/24*(0 + u). What is g rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**2 - 52*u + 20. Let p(a) = 3*a**2 - 21*a + 8. Let l(v) = -5*m(v) + 12*p(v). Solve l(i) = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - d**2 + 2*d**5 + (2 - 5*d**4 - 2)*(-2 - 4*d + 2).\nAnswer: 22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -0.647. Let g = z - -1.847. Which is the third smallest value? (a) -0.2 (b) g (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/30 + 220\/(-525). Put q, 0.1, -10 in increasing order.\nAnswer: -10, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -670, 3 in decreasing order.\nAnswer: 3, -1, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162 - -2110\/13. Suppose 3*w - 11 = 4*g, 923*g + 2 = -4*w + 920*g. Which is the closest to w? (a) q (b) -2\/21 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + r = -960, 2*r + 8 = -0*r. Suppose -2468 - x = -6*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 2*j - 4*j)*(j**3 + 2*j**3 - 5*j**3) - 3*j**4 + 4*j**4 + 0*j**4 + 2376*j**4 - 4665*j**4 + 2564*j**4.\nAnswer: 272*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.683 - 0.221. What is o rounded to two dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48236 = -108*g - 61412 for g.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 - 781\/(-33). Suppose -x = -3*x + v. Suppose 10*n + x = 52. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3346, 6736, 10126?\nAnswer: 13516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 50*n**2 + 555*n - 66. Suppose 4*q - 9*q = -280. Suppose 2*c - q = -2*c. What is the remainder when x(-17) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 80490.3.\nAnswer: -160980.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3045, -24460, -82595, -195810, -382465, -660920, -1049535, -1566670?\nAnswer: -2230685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*u + 7 = 5*u, -2*f + 3 = -u. Let v = f + -2. Find the third derivative of 3*h**2 - 2*h**3 + 0*h**2 - h**v + 0*h**2 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203892207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.2. Let f = 0.5 + s. Let b = -2 - -3. Which is smaller: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 5*t**2 - 5*t + 5. Let a be c(-3). Factor 12*g + 3*g**a - 108 + 0*g**2 - 12*g + 48*g.\nAnswer: 3*(g - 2)*(g + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.4334 centuries to millennia.\nAnswer: 1.64334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -790698.346 rounded to the nearest 100?\nAnswer: -790700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*d - 72. Suppose 3*j + 2*u = 390, 0 = 5*j - 2*u - 514 - 152. Calculate the remainder when j is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 14*s**3 + 16216*s**2 + 4583*s - 56737. What is j(-1158)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a + 0 + 1 - a)*(-7 + 9 + 13) to k*a + f and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 359000 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11794 + 11799. Suppose 3*g - 150 = -2*g. Calculate the least common multiple of g and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 3*d - 7*d - 18*d + d.\nAnswer: -27*d - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + -2 + -2*sqrt(76)).\nAnswer: 20 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 31 - 29, -5*g + 4*c - 29 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 18667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 7*q**2 + 7*q - 6. Let d be v(6). Which is smaller: d or 5\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-2\/5)*(l\/(l*l**(-2\/5)\/l))**28)**(-28) assuming l is positive.\nAnswer: l**(-5432\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 281, 981, 2347, 4601?\n\"Answer: 37*c**3 - 3*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 17*w**2 + 20*w - 309. Determine n(17).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l**3 + 2*l**2 + 3*l + 3. Let w be 6\/(-16) - 19\/(-8). Let n(v) = 8*v**3 - 2*v**2 - 2*v - 2. Determine w*s(m) + 3*n(m).\nAnswer: 6*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2067 = 3*q. Let w = q - -3327. What is w rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 105 = 0. Let d = 19 + -13. Let u = s + d. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmxxm. Give prob of sequence mxmx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 3*k**5\/20 + 2*k**2. Let f(u) = 2*u. Calculate s(f(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -69*d - 3*d**2 - d**2 + 125*d + 3*d**2 - 66*d. Let c(q) = -6*q. Determine c(b(a)).\nAnswer: 6*a**2 + 60*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.01, -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 874938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -731889072*w. Let v(c) = -3*c**2. Calculate d(v(i)).\nAnswer: 2195667216*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*l*m**2 - 4*l*m - 3*l wrt m?\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 + 7*s + 12. Let w be a(-2). Is (2\/(-4))\/(w\/(-926596)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 47) + (-19 - (1 + -7)) + (16 - -3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-24) - (-105)\/60?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 + 5 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 11*o**2 - 89*o - 26. Does 10 divide s(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.87431 to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -94*f**2\/7 + 746884*f - 5339328\/7 = 0. What is f?\nAnswer: 48\/47, 55618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - (0 + 0))*1\/(-1). Suppose -6 = 2*j, -a - 2*j - s = -0*j. What are the prime factors of 53 - 1\/(a\/(-1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**1)*y)**(-2\/85)\/(y**9*y**(-12)) assuming y is positive.\nAnswer: y**(253\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 15*u - 18. Let k be s(-14). Suppose 0 = -2*t + t - 11. Let y be 2 - (t\/7 + 3). Which is the biggest value? (a) -0.5 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, f: 8, k: 2, q: 7}. What is prob of sequence kbf?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115037 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:36 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121532927 - 121532927 - 435*z**2.\nAnswer: -435*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1236 by -4.\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3, 4, -3\/5 in increasing order.\nAnswer: -3, -3\/5, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*b + 54*b + 43*b + (-3 + 2*b + 3)*(3 - 2 + 0).\nAnswer: 77*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*c - 169*c + 8 = -2*n, 6*c + 2 = -2*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -1636, 1\/8 in ascending order.\nAnswer: -1636, -1\/8, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -12. Suppose n*w - 4*o = 63 + 13, -w = -2*o - 18. Calculate the highest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229497119 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 1624598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*w**3 - 28*w**2 + 1\/2*w**5 - 59\/2*w + 2*w**4 - 10.\nAnswer: (w - 4)*(w + 1)**3*(w + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - i**3 - 9*i - 9*i + 24*i + 20*i in the form y*i**2 + w*i**3 + p + z*i and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.976051 millilitres to litres.\nAnswer: 0.009976051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**5\/30 + q**3\/2 + q**2\/2 + 3*q. Let b(l) be the first derivative of t(l). Find the first derivative of b(z) wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 421 = -73. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - c - 1, -2*x + 3*c = -3. Let i(u) be the first derivative of u**2 + x*u + 2 + 2\/3*u**3. What is the second derivative of i(b) wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -3 (b) 5\/4 (c) -0.6 (d) -48 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 7*g**2 - g + 9. Give a(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1586 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l - 13. Let b be w(2). Solve -n + 2*n = b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (144\/480)\/(6\/(-2)*8\/496)\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k**5 + 3*k)*(-1 - 2 - 3) + 40*k**5 + 46*k**5 - 2*k**4 + 19*k**3 - 85*k**5.\nAnswer: -5*k**5 - 2*k**4 + 19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 12:27 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 32945.2 to the nearest one hundred.\nAnswer: 32900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -234313?\nAnswer: -234313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:32 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*n - 11, 2*n + 0*t = -t + 5. Solve 2*y + m - 15 = -2*m, -n*m + 20 = 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -11 (c) 137 (d) 5\/2 (e) 2\/9 (f) -2\/15 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 1460535*m - 1460540.\nAnswer: 5*(m - 1)*(m + 292108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m - 3*m**3 + 584 + 10*m - 196 - 197 - 195 in the form b*m**3 + j*m**2 + u*m + i and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3 = 7. Let m(o) = -o - 7. Let x be m(-9). What is the second derivative of -t + 4*t**2 + 0*t**x - t**a wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42759242 by 2.\nAnswer: -21379621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f03948 + 20?\nAnswer: f03968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 2. Let k be x(2). Suppose -4*g = -k*t - 7*g, 3*t = -2*g + 10. What is the greatest common divisor of t and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1701)*-1 + (sqrt(1701) - (sqrt(1701) - (sqrt(1701) - (sqrt(1701) - -1*sqrt(1701))*5))))\/((1*sqrt(1728))\/(sqrt(24)\/(-2*sqrt(6)))).\nAnswer: 15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrj when three letters picked without replacement from {j: 2, r: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 12 = 2*a, -2*b - 3*a = -10 + 4. Solve -5*u - 2*d - 6 = 0, -2*u - d = -u + b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*k - 112, 2*t - 4*t + 56 = 5*k. Solve -n - 3 = 2*u - u, -t = 4*u - 4*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2213707172 to the nearest integer?\nAnswer: 47050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnhhnhnnnnnnnnnnhhn. Give prob of picking 3 n.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 2\/3 (c) -2\/9 (d) -3 (e) 121\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44863 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 4*j**2 + 4*j + 1. Let z be -2 + (563\/(-11) - 14\/(-77)). Let y = z - -48. What is the least common multiple of l(y) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-2))\/((-6)\/6*1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (16 - 2) + (-94 + 52 - 51)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/(-20) + 4\/(-10). Let x(d) = -d**3 + 6*d**2 + d + 4. Let a be x(6). Let f = a - 9. Which is smaller: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2139583 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from dziuzuuzddzzirrz.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206, -2, 19, 8, -12, -6 in decreasing order.\nAnswer: 206, 19, 8, -2, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -9028.26, 1\/80 in decreasing order.\nAnswer: 0.5, 1\/80, -9028.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/187 + (-2901383)\/(-210477). Let t = 2\/4127 - h. Which is smaller: -13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3377*w**3 + 5*w**2 - 15*w - 76. Is p(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1353 + -718. Let l be ((-224)\/(-40))\/(2\/(-160)). Let p = b + l. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 17. Suppose 3*r - 16 = -r. Is a at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3687 or 68774?\nAnswer: 68774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Suppose -5*q = 5*k - 35, 0 = 5*k - k + 5*q - 25. Calculate the least common multiple of t and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**3\/6 + l**2 + 2*l. What is f(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 4*f - 55. Let v be j(10). Suppose -23 = -u + 4*s, v*u + 4*s - 114 = 49. Solve -u*p = -26*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(1 - (-19)\/(-21)) is divided by 6\/30 + 354\/30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.133 * 0.09\nAnswer: 0.01197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 7) in base 9?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25453541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 10. Solve -u = 0, i + k*i - u = 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*x = -72, -102*x + 4833 = h + 220*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576 = 3*f - 5*w, 10*w = 8*w + 6. What is the remainder when f is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/(-2)) + (-1782)\/(-495)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from raraayxroay?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 3*o - 6*o + (6*o - 3*o - 4*o)*(1 - 4 + 1) + 0*o + 4*o - 3*o + 1370*o + 6412*o - 188*o - 1037*o to v + l*o and give l.\nAnswer: 6559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/10)\/(h**(2\/3)\/h))\/(h\/(h*h**0\/h)*h*h**(1\/13)) assuming h is positive.\nAnswer: h**(-797\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -172*j - 2399. Let n be d(-14). Solve 13*t - x = 16*t - 9, n = 3*t - 4*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -994*v + 4136*v + 197946 = 0 for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3648.804 take away 0.07605?\nAnswer: 3648.72795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 176813\/56 + (3\/60)\/(40\/(-300))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*sqrt(936) - sqrt(936)) + sqrt(936) - sqrt(936) - -1*sqrt(936)*5)\/(2*(6*(sqrt(128) + -1*sqrt(128)) - sqrt(128))).\nAnswer: 9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*o**5 - 288*o**2 + 3353*o**2 + 9*o**4 + 460 - 460 wrt o?\nAnswer: 1200*o**2 + 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -177*u**2 + 5517*u + 132*u**3 + 21 - 5457*u - 21*u**2 - 15*u**4 = 0?\nAnswer: -1\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8) - (-52)\/(-16)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.87965274 rounded to four dps?\nAnswer: -1.8797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 146507946 to the power of 1\/2, to the nearest integer?\nAnswer: 12104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (94608\/4088)\/(45\/70)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/l**(1\/8))**(1\/4) assuming l is positive.\nAnswer: l**(-17\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1843360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(12 + 488\/(-40)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*g + 21*g - 3*g**2 + 21*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.33 + 0.32904. Round g to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6224535 + 4?\nAnswer: -6224531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22969544, -22969530, -22969506, -22969472?\n\"Answer: 5*v**2 - v - 22969548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-29)\/(2465\/918))\/((-4)\/900). What is the greatest common divisor of n and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 0*w - 32815250*w**2 + 32815247*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164 + 172. Solve -3*d - w = 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*k + 6845 + 1163 = -714*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 5*k**2 - k - 2. Let l be n(-5). Let b(h) = 12 - 5 - 8*h - h**l + 27*h**2 - 36*h**2. Calculate b(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34877, -278924, -941345, -2231330, -4358069, -7530752, -11958569?\nAnswer: -17850710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1686.148684*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (-12)\/3 + -10. Let o = 7 + h. Let w(f) = -2*f**2 - f - 1. Calculate w(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71? (a) -13 (b) -3 (c) -0.1 (d) -12\/7 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 13*s - 8. Determine d(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 + n**4 - 3*n**4)*(1 + 2 - 2) - 5*n**4 + 52434613*n**2 - 12*n + 4*n - 52434551*n**2.\nAnswer: -7*n**4 + 62*n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 17 + 17. Suppose y = -4*n + 6*n - 6. Suppose 9*g + n = 12. Solve -u + 2*u - g = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*q + 10*q - 3*q)*(-q**2 + 2*q**2 + 0*q**2 + 2*q**3) to w*q + h + y*q**4 + p*q**2 + o*q**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276 and 46.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**3\/6 + 3*b. Let t be (-12)\/21 - (-60)\/(-42). What is w(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61875837 divided by 1085541?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*p + 4 = -16, 15 = 3*j - p. Let q = 6 + j. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*w = -15, -4*w + 491 = 2*r + 487 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -20. Is a\/1*(-1 + 214) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5446)\/(-6) - ((-564)\/(-36) + -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*w - 48 = 0, 2*w + 26 = 3*o - 26. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 303800060843?\nAnswer: -303800060843.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 17 - -39) + -33\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -164, -207, -278, -383, -528, -719?\nAnswer: -962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63989 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/345582 and 133\/54?\nAnswer: 1036746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -221 - -993. List the prime factors of q.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 21*i - 30. What is the remainder when (-205 - i)\/(-4) - 0 is divided by 1*19*(3 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-102))\/(1\/(8\/(-6)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7\/4*u**3 + 0 - 64*u + 447\/2*u**2 = 0 for u.\nAnswer: -128, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 0, -1, -6, -3, 3, -24514 in decreasing order.\nAnswer: 3, 0, -1, -3, -6, -62, -24514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513 - 167 = -34*r. What is the smallest common multiple of ((-2)\/(-6))\/((-1)\/(-6)) and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3 + 285*m**2 - 4950*m + 27000 = 0. Calculate m.\nAnswer: 12, 15, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276352?\nAnswer: 2, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1. Let m(g) be the second derivative of -g**3\/6 + 3*g**2 + g. Let v = 6914 - 6915. Calculate v*m(s) + 6*j(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71817807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3549062047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 9. Suppose 0 = -2*m + 3*m + 2*p + 7, 23 = -5*m - f*p. Sort -0.4, -1, m in descending order.\nAnswer: -0.4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-3 - (2 - 2)). Let o be -3 + g + 5\/1. Does 4 divide ((-112)\/(-24))\/(1\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 29025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6)*1110\/(-148). What are the prime factors of (m + 1)*(740\/8)\/(-1)?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2 and -35\/72967848?\nAnswer: 72967848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -7 + 2 - 8. Calculate the least common multiple of (1 - (-2)\/(-1)) + 5 and (4\/n - -1)*15.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -298666*r**2 - 193572 wrt r.\nAnswer: -597332*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 14396.61 litres?\nAnswer: 14396610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a**3 + 21*a**3 - 39*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 a factor of 5953374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 8*s - 570 + 7*s.\nAnswer: -s - 488","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1210 - 1446?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 30060.23271468 - -0.3\nAnswer: 30060.53271468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0*c - 2 + c + 12 + c. Let x(i) = -i - 5. Let o(z) = 2*g(z) + 5*x(z). What is the units digit of o(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 36424701*n**2 - 110563182274545*n - 331689874646025.\nAnswer: -3*(n - 6070785)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 6:01 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -32.746. Let q = s + 0.25567. What is q rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqqqqqqqpqqqqp. What is prob of sequence qpq?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 6 = -8. Suppose -3882 = -4*z + u*f, -f = f - 10. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 5*a + 8. Let t be o(-6). Suppose -5*u + m = 2*m - 88, -m = t. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 17 = 1. Let r = 63 - b. Let a = r + -38. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463477367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 421*l**3 + 954*l**2 - 17 - 3751*l**3 - 492*l**2 - 540*l**2 wrt l?\nAnswer: -19980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 20 - 20)*(-52 + 241 + 21 + (-2 - 4 + 4)*(-3 + 4 - 3) - 4 + 2 + 1) to the form a*w + k and give a.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j\/j**(-4\/7)*j)*j\/j**4)**(-37))**(-2\/15) assuming j is positive.\nAnswer: j**(-444\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = 3*l - 52. Suppose -5*g - 5*x + 219 + 121 = 0, 5*x + 108 = 2*g. Let z = l + g. Solve 6*w = z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.42 + -0.32. Let q = -5.95 + -0.05. Let p = 6.2 + q. Which is the closest to o? (a) p (b) -0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2525313, 5050619, 7575925, 10101231, 12626537, 15151843?\n\"Answer: 2525306*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 p, and 1 o when three letters picked without replacement from {l: 3, r: 1, p: 2, c: 3, f: 2, o: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzmmsmzsrjzp. Give prob of picking 1 r and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.45 - -0.15. Let s = 91 + -83. What is the smallest value in s, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3173655 = 72*u - 3*u. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 0 - 20) + -10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20175361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 2. Let h be z(-3). Let f be h + (0 - -2 - -3). Suppose 0 = 3*o - f*g - g - 2, -4*o = -3*g + 1. Which is smaller: o or -2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(660) - sqrt(660))\/sqrt(11))\/sqrt(3) + -1 - ((-1 + sqrt(605)*3)**2 - ((sqrt(605) + -2 - sqrt(605))*3 - sqrt(605))).\nAnswer: -5453 + 49*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-5 - -18) + -26.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431490 is divided by 6344?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14224646?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -609935, -609958, -609981?\nAnswer: -610004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -146, -315, -562, -893, -1314, -1831, -2450?\nAnswer: -3177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5. Suppose t + 1 = q. Suppose -115 + q = -3*a. Calculate the remainder when a is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 59*u + 1533 = -676 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123840, 123836, 123830, 123822, 123812, 123800, 123786?\nAnswer: 123770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from ppizzzpzzizzzipzzpi?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1. Let q(i) = -8*i + 3. Let m(u) = q(u) - 3*x(u). Suppose 2*z = 7*z. Let k(y) = 0*y + 0*y - 2*y**2 + z*y**2. Determine k(m(v)).\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 5) in base 11?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = 113 + 347. Let h = 459 + -275. Calculate the highest common factor of h and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 10 = 3*o. Suppose 0 = l + 3*l + 5*t - 247, -o*l + 125 = 3*t. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 24. Let f(y) = -2*y**2. Let i be f(-1). Let j be (i\/(-3) - 0) + q. Which is the closest to j? (a) -0.3 (b) -1\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7626 divided by 31?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b - 24 = 27. Let c(i) = 2*i**2 + 5*i + 6. Let o be c(b). Let y(l) = 7*l**2 + 2*l - 6. Let v(k) = 15*k**2 + 4*k - 13. Calculate o*y(n) - 4*v(n).\nAnswer: 3*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 7*r**5\/120 - 5*r**4\/24 - r**3\/6 - 5*r. Let o(h) be the second derivative of w(h). Is 23 a factor of o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82889898 and 8.\nAnswer: 331559592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 5*p**6\/2 + 13*p**2 - 21. Find the second derivative of z(b) wrt b.\nAnswer: 300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 999722 and 1306.\nAnswer: 652818466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 709716386 to the nearest integer?\nAnswer: 26641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**3*i + 2345*b**3 - b**2*i - 58036*b*i wrt b.\nAnswer: 24*b*i + 14070*b - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 75*r - 380. Let l be p(5). What is the third biggest value in l, 152, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**15\/(v**(-4\/5)*v))**13 assuming v is positive.\nAnswer: v**(962\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862 less than or equal to 1853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1355 + 0.8043.\nAnswer: 1355.8043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 6*w**2 - 2*w - 9. What is c(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -153 + -3.5\nAnswer: -156.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -46413 divided by 27?\nAnswer: -1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**(-2\/27))\/j)\/j)**(-40)\/((j\/j**(-14))\/((j**(-23)*j)\/j)) assuming j is positive.\nAnswer: j**(-946\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/124995 and -167\/8280.\nAnswer: 68997240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.1 + 44.9. Let h = q - 46.9. Let m = h - -5.9. Does m = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 5 - 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**3 - 4*w + 2*w - 4 + 2*w**3 + 5 as p + s*w**3 + x*w**2 + i*w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-266)\/21 - -12)*-15. Solve -6*o = -z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**45\/(g*g**(-2\/9)\/g)**37)**(8\/3) assuming g is positive.\nAnswer: g**(3832\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179688 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -2, 0.1 in increasing order.\nAnswer: -49, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**5 - 84*i**4 - 228*i**3 + 6078*i**2 + 6375*i - 12138 = 0.\nAnswer: -17, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -28*y**2. Suppose -36*i + 64 = -80. Let x(w) = 5*w**2 + 4. Let v(k) = -7*k**2 - 5. Let q(g) = i*v(g) + 5*x(g). Determine q(n(j)).\nAnswer: -2352*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.73 + 3.13. Which is the smallest value? (a) j (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88088?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-341) + (-1616)\/122109?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*k = -2*k - 10*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from twwg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o)**(-12)\/(o*o*o**0*o*o)**29 assuming o is positive.\nAnswer: o**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148704 and 3344?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 35.6 - 36.6. Let n be (-5)\/(-10) - 10\/(-4). Let k = 1.2 - 1. What is the nearest to h in -0.2, n, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 1)\/((-6)\/4). Factor u**4 + 2*u - 1 + g*u**3 - 4*u**3 + 3*u**4 - 3*u**4.\nAnswer: (u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*1674\/(-372)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 12) in base 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -0.5, -3\/28, -24.9?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - 1.7. Let j = i + 2.09997. What is j rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -5bb671?\nAnswer: -5bb675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 28 = 5*w, 3*w + 8*c + 19 = 9*c. Let m = 111 + w. What is the remainder when m is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 44 = -4*l, 2*w - 3*l = w + 21. Let s(y) = 7 - 15 - y**2 + w*y + 2*y. Let d be s(6). Put 3, -1\/4, d in descending order.\nAnswer: d, 3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -4*y**6\/15 - y**5\/10 + y**4\/6 - 21*y**2\/2 + 2*y - 5. What is the third derivative of r(x) wrt x?\nAnswer: -192*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1286 from -204020.\nAnswer: -202734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + p = -4*x - 2, 0 = -4*x + 5*p + 10. Suppose 2*o - 2*f + 48 + 42 = x, -5*o + 4*f = 226. Let j = 61 + o. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/4 - ((-7089522)\/(-24))\/(-11)?\nAnswer: 2, 29, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -674144 + 674144 + n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/((-3)\/(-12)))\/2. Let o(z) = 3*z. Let p(y) = -y. Let k(g) = 6*g. Let l(q) = k(q) + 5*p(q). Let r(w) = d*o(w) - 7*l(w). Calculate r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -4*d + 16, -5*d = -2*q - 8 - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-8)*f**0)\/((f\/((f*(f**(-1\/2)\/f*f*f)\/f)\/f))\/f**(-1\/13)))**(3\/16))**(-38) assuming f is positive.\nAnswer: f**(14193\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7384*b + 14791. What is s(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(20\/4))\/((-2)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a**2 - 4*a - 13*a + 43*a - 3*a + 27*a**2 - 13*a.\nAnswer: -4*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = r. Let v(x) = -2*x + 1. Let k be v(-1). Find the first derivative of -6 + r + 4 - d**k wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407617711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r - 15*r + 28*r - 5*r - 6*r.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 36*w + 19. Give n(-14).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1967029043*c - 20 + 1967029043*c + 4*c**2.\nAnswer: 4*c**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93675*a**2 + 1556546.\nAnswer: 187350*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7915, 15830, 23747, 31666, 39587, 47510, 55435?\n\"Answer: y**2 + 7912*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/80 - 11*o**4\/16 + 85*o**3\/8 + 289*o**2\/8 - o - 22. Solve r(b) = 0.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*n - 121 = 6*q - 4*n, -3*n + 3 = 0 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**4\/3 + 8*o**3\/3 - 8*o**2\/3 - 32*o - 993. Factor h(f).\nAnswer: 4*(f - 2)*(f + 2)*(f + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007336624 to six decimal places.\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1962*m. Let i(g) = -4*g. What is i(d(h))?\nAnswer: 7848*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 2*u. Let z(t) = -t**2 - t. Let f(s) = 3*a(s) + 6*z(s). Let o = -5 - -3. Calculate f(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 - 1412 = 14*z. Let p be (-1 - 20)*56\/z. What is the greatest common factor of 28 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**4\/6 + 8*j**3\/3 + 7*j**2 + j. Let h(x) = -x**2 - 12*x + 54. Let n be h(4). What is the units digit of y(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*i*u**3 + 399*i*u - 260*i wrt u.\nAnswer: 18*i*u**2 + 399*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 260135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1537 - -1537.09. Put g, -3, 3, -1 in decreasing order.\nAnswer: 3, g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3140000 rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = 2*y, 2*b - 6 = y - 0*y. Let k(g) = 86*g**2 - 1719*g - 14. Let o be k(20). Solve b*s + o = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 17*a**2 - 655*a. Let d(s) = 4*s**2 - 162*s. Calculate 9*d(m) - 2*v(m).\nAnswer: 2*m**2 - 148*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 16111*v + 531657. Calculate n(-33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*q + 20*q**2 + 24*q + 30*q + 10 wrt q?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from lnwwng.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29246 in 5, -1, 2352?\nAnswer: 2352","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 115 divided by 39\nAnswer: 115\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2\/4 + 32*l + 42657 = 0.\nAnswer: -354, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 111. Solve -4*i**4 + 46*i**3 + 81*i - k*i**2 - 7*i**4 - 55*i**2 + i**5 + 32*i**2 - 27 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.016 from 241.57.\nAnswer: 241.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76187, -75628, -74701, -73406?\n\"Answer: 184*o**2 + 7*o - 76378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 4 - 3)*(-784*z - 796*z + 1563*z).\nAnswer: -68*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(4\/3)\/g)\/g**(-2\/15))\/(g**(1\/11)*(g*g**(2\/9)*g)\/g*g) assuming g is positive.\nAnswer: g**(-419\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 645835, 645836, 645829, 645808, 645767, 645700, 645601, 645464?\n\"Answer: -b**3 + 2*b**2 + 2*b + 645832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 465290 + 11?\nAnswer: 465301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -80*f**2 - 4*f + 16. Let w(h) = -2*h**3 - 15*h**2 - h + 1. Give -n(z) + 4*w(z).\nAnswer: -8*z**3 + 20*z**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/24 of a week?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243255 is divided by 40542.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298812 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107270\/(-255)*(-7 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.035 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2040241 - 4?\nAnswer: 2040233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77415 - -154831\/2. Let d = 50\/19 - 364\/95. What is the closest to 0.2 in -2\/13, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 30e2?\nAnswer: -30e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 5*z + 36 = 0. Let p = z - 5. Find the second derivative of 3*h**2 - 33*h + 27*h**5 + h**2 - p*h**2 wrt h.\nAnswer: 540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 369*r**2 + 33*r - 217. Is a(24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 61 = -5*i, -2*i + 3*m + 23 = 4*m. Factor -80*d**3 - 9 + 25*d**4 - 40*d - 14*d**2 + i + 2 + 104*d**2.\nAnswer: 5*(d - 1)**3*(5*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(0 + -3) - -1. Suppose -36 = -5*u + m. What is the remainder when u is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 8 = -3*i. Which is the closest to i? (a) 2\/3 (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-30)*(-20)\/48*3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 23. Let o be d(-19). Let s be (-2)\/8 + 1\/o. Put s, 4\/7, 4\/3 in decreasing order.\nAnswer: 4\/3, 4\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 5, -10, 4, 19, 0 in ascending order.\nAnswer: -103, -10, 0, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-130)\/20 + 7)*(-48)\/(-3). Suppose -43 = -2*g - 2*d + 1, -3*d - 96 = -3*g. Let x = g - i. What is the remainder when 74 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1171083 and 6519?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -17, -42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 + 3*l. Let t(w) = -w + 1. Let n(f) = -s(f) - 3*t(f). Let g(u) = u**2 - 1. Let x(k) = 4*g(k) - n(k). Suppose x(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = 19*i + 269 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1199 + -1199. Let b(d) be the second derivative of t*d**2 + 0 - 7\/12*d**4 + 10*d + 0*d**3. Let f(h) = 2*h. Give b(f(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 48510287.4 to the nearest 1000000.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + -2*sqrt(1584))*-3)**2*5 + 3.\nAnswer: 71283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.6 + -65.6. Let t = s + 55.7. Let b = t - -2.5. What is the closest to -5 in b, 0.1, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3)*(-33)\/(-77))\/((-36)\/(-42))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 31, 42, 37, 4?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 + 2*p + 5*p + 0*p - 4*p + (-4*p - 2*p + 5*p)*(2 + 0 - 1) - 6*p + p + 3*p - 6*p + p + 3*p to d*p + c and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17317927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36636?\nAnswer: 2, 3, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -6. Suppose -16 = -d - k*d. Let r be (-52)\/(-16) + 3\/d. Solve -q = -r*q + 5*n - 20, -2*q - n = 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*j)*(-20*j + 54*j + 76*j) to h*j**2 + r*j + c and give h.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 - 64568*x**2 - 2084513312*x.\nAnswer: -x*(x + 64568)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -798*v + 814*v + 128 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*q + 1232, 0*q = q + 4*g - 303. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*d + 231, -283 = -4*a + 2*d - 5*d. Let r = a - 70. Let y = 3 + 1. Solve -y*m + m = r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*z + 244 + 79*z**3 + 15*z - 45*z + 12*z - 263 to the form k*z + a + p*z**3 + v*z**2 and give p.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -255\/4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8772 - -8773. Suppose -5*s - 3 = 17. Let d be (16\/(-84))\/(s\/6). What is the closest to -9 in 0.4, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 33*v + 95. Let x be q(-28). Let o(t) = -66*t**3 + 2*t + 1. Let d be o(-1). Let r = x + d. Calculate the lowest common multiple of 30 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1639\/333 + 51\/74. Let k = 15102 + -317201\/21. What is the common denominator of k and s?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1029*t + 3*g - 23 = -1033*t, -5*t + 3*g = 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y = 21 - 175 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/((-126)\/(-13608)) - (0 - 3). Suppose 5*v - 111 = 79. What is the greatest common divisor of m and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r + 6*r + 3*r - 5*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -5*j**8\/56 - 7*j**4\/6 + 4*j. What is the third derivative of b(i) wrt i?\nAnswer: -600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*b**2 - 30*b**2 + 1 - 11*b**3 + 59*b**2 as q*b**3 + r*b**2 + f*b + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.73564 to one decimal place.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7215*j + 14355*j + 5 - 7257*j. Let u(w) = 760*w - 32. Give 32*k(f) + 5*u(f).\nAnswer: 56*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -4\/15*g**3 + 24\/5*g**2 - 22 - 144\/5*g. Factor c(q).\nAnswer: -4*(q - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1287.031 + 1166.7. Let j = k + 119.4. Round j to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 + -7.7?\nAnswer: -140.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.967436 months to years.\nAnswer: 1.913953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 113. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 41 (c) -5\/8 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3208744361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 2 + 0 + 4 - 6*k - 1. Let q be x(2). Let o(s) = 909*s**2 - s + 3. Is o(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8571 - 8559. Let l(k) = k - 6. Let a be l(6). Which is greater: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1211604857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/24 or 0?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/5 - 2066*r**3\/5 - 14*r**2\/5 + 14474*r\/5 - 12396\/5 = 0.\nAnswer: -3, 1, 2, 1033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3284547240 to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.476 + 0.336. Which is the biggest value? (a) -3 (b) j (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -286 - -291. Suppose -7*x = -8*x + 3*v - 63100, 0 = -y*x - 5*v - 315500. Round x to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**4 - 11*v + 0*v + 10*v + 5*v**4 wrt v.\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22422381 and 1252?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11119 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18810 = -3*t + 5*o, -7*o + 12 = -11*o. Is t a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/708 and 73\/1220?\nAnswer: 215940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.3016 to two dps.\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 893*l*t**2*w + 9*l*t**2 - 5*l*t + 3*l - 2*t*w wrt w?\nAnswer: 893*l*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 6*y + 4. Let m be b(6). Let f(t) = -1 + t + 1 - m. Let d(u) = -5*u + 17. Give -2*d(v) - 9*f(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8659 and 2474.\nAnswer: 17318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121182192 divided by 3.\nAnswer: 40394064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-36)\/(3\/2 - 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2768 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/90*9)\/(1\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zybr when four letters picked without replacement from dyrbz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 64 = s + s, m = 3*s - 69. Find the common denominator of (-28)\/(-16)*2*48\/m and 87\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5053015 (base 6) in base 3?\nAnswer: -110012210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2)\/((-16)\/40 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 15*c - 33. What is o(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-4*h + 2*h + 7*h)*(-2 + 13 + 0 - 2 + 2 + 1 + 3 - 6 + 1 + 4 + 2 - 4 + (-2 + 5 - 5)*(-4 + 0 + 2) - 1 + 2 + 1).\nAnswer: 90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) -0.0576 (c) -2\/1269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 2. Let h(l) be the first derivative of l**2 + 2*l + 22. Let x(s) = 5*s + 15. Let j be x(-2). Calculate j*i(m) - 4*h(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 3*q - 1. Let x be -2 + (2 - (-5 - 0)). Let b be k(x). Suppose 4*i = b*i - 85. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:59 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164.5857 + -164.7357018. Let g = -12 + 12.15. Let q = z + g. What is q rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2924 + -2922. What is the smallest value in 0, -0.5, -0.2, 0.15, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19814304779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 7. Suppose -4*y + a - 2*a + 8 = 0, -2*y + 4 = 4*a. Suppose 33 = -y*d - d. What is the units digit of j(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3701530, -1, -4 in decreasing order.\nAnswer: -1, -4, -3701530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 9:48 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + sqrt(1300) + (sqrt(1300) + -4*(sqrt(1300) + -2) + sqrt(1300) - sqrt(1300)))*-4)**2 - (sqrt(1872)*-2 + 0 - (0 + sqrt(1872) + 5)).\nAnswer: -2524*sqrt(13) + 21829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 142213 (base 6) to base 14\nAnswer: 4ca5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 94, 1, -1, -89 in descending order.\nAnswer: 94, 1, 0, -1, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1410223, 1410221, 1410219, 1410217, 1410215?\n\"Answer: -2*m + 1410225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 - 16*j - 3. Let f(r) = -r**3 + 21*r**2 - 20*r + 6. Let p be f(20). What is the smallest common multiple of 5 and c(p)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 18*i. Let w(t) = t**3 - 4*t**2 + 5*t - 11. Let v be w(3). Let y(z) = z**3 + 19*z. What is v*y(s) + 6*q(s)?\nAnswer: s**3 + 13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -286*s**2 + 284*s**2 - 2*s**3 + 9 - 22*s**4 - 2*s - 3 - 2 as z*s**4 + v*s**2 + p*s + o + d*s**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2 - 4. Let u be (0 - -6)\/k + 2. Let j = -10\/13 + 139\/130. Which is smaller: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1879153 + 1?\nAnswer: -1879152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14367583?\nAnswer: 14367583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-3)\/24*-12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -210*u - 633. Let c be n(-3). Let y(z) = -6*z**3 - z**2 - 3*z - 3. Let v(p) = -p**3 + p - 1. Give c*v(r) + y(r).\nAnswer: -3*r**3 - r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3*(w\/(w**(3\/2)*w))\/w*w*w*w**(3\/7)*w**(-8\/9) assuming w is positive.\nAnswer: w**(257\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2200263, -2200252, -2200241?\n\"Answer: 11*i - 2200274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-2 - 2814*u - 4621*u + 2330*u)*(-4*u + 3*u + 2*u) as k*u**2 + a + f*u and give k.\nAnswer: 10210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.9 - -6.8. Let k = -0.1 - u. Which is the third biggest value? (a) 3 (b) k (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4992 and 6912.\nAnswer: 89856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Let l be (u - 5)*(-1537)\/(-11). Let f = l + 698. Find the common denominator of -131\/6 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*6*(sqrt(17) - (sqrt(17)*2 + 4))*-5*-2)**2.\nAnswer: 1036800*sqrt(17) + 4276796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1186*x**2 - 2107*x**2 - 214*x**2.\nAnswer: -3507*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*q*(q*q\/(q*q*q**6))\/q)\/(q*q*q*q**(-7)*q*q*q**6*q)*(q*q**4*q*q**(1\/9))\/(q\/(q**(-5)*q)*q*q*q*q*q**(1\/4)\/q*q*q*q) assuming q is positive.\nAnswer: q**(-581\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 14*i**3 + 9*i**2 - 11*i + 22. Let j(c) = -15*c**3 - 9*c**2 + 12*c - 23. Let p(a) = 12*j(a) + 13*q(a). Calculate p(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6*1*44\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 14*v - 2438. What is i(43)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 10*x + 9. Let w be m(10). Let q(k) = 2*k - 16. Let p be q(w). Suppose p*c - 5*c + 8 = -4*f, 15 = -f + 4*c. Solve 3 - f = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*i + 100. Let j = i + -16. Solve -4*l = -j + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**2 - 3*c - 1. Let b(d) = -d**3 - 5*d**2 - 3. Let z be b(-5). Let o(l) = 13*l**2 - 5*l - 2. What is z*o(j) + 5*h(j)?\nAnswer: -4*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 6:49 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12251061 rounded to the nearest 10000?\nAnswer: -12250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2411 divided by 33135.\nAnswer: -2411\/33135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 2*c - 18. Let i be u(13). Let g = -84 - i. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204 + 351. Suppose 51 = -24*c + s. Calculate the smallest common multiple of c and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00679 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -222*c + 3. Is r(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1923, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 8. Let m = b - -6. Let k = m - 2. Solve -i + k*s + 2*s - 4 = 0, 0 = -5*i - 3*s + 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2 - 38*s - 126. Let p(r) = 6*r**2 - 37*r - 127. Let v(d) = -5*p(d) + 4*w(d). Differentiate v(t) wrt t.\nAnswer: -4*t + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69694465?\nAnswer: 5, 41, 359, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 949 + -941. Solve l*r = -2*r - 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173.66 + 4.34. Let p = -182 + x. Sort 0.4, p, -0.05.\nAnswer: p, -0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 53 = -b + 20, -b + 2*t + 2 = 0. Let l(w) = -12*w - 91. Let m be l(b). What is the highest common factor of m and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*(23 - 7). What is the units digit of 84 + 5\/(10\/d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**2 - y. Let z be p(1). Suppose -z*k - r - 22 = -5*r, -3*r = -k - 11. Let i be (-2)\/(3\/(-6)*-4). Which is smaller: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3047*0.3.\nAnswer: 914.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j - 54. Let y be x(-15). Let b = -32 + y. What is the greatest common factor of 171 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -418 divided by -6\nAnswer: 209\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2*t + 0)*(-2*t**2 - 2*t**2 + 0*t**2) + 6*t**3 - 4 + 4)*(-5249*t + 2626*t + 2620*t + 67) as i + v*t**4 + j*t**2 + a*t + z*t**3 and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 0)\/(5\/3). Solve k*d = 12 - 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 79372736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**7\/7560 - s**5\/1080 - 43*s**3\/6 + s. Let y(m) be the second derivative of o(m). Suppose y(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w - 10. Let f be (10\/6)\/(4\/12). Suppose -2*n + 30 = 2*h, -f*n - 5*h = -w*n - 39. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 1. Let n(o) = -26*o**2 - o + 5. Let q(i) = -5*k(i) - n(i). Let a be q(-1). Let w be 2\/(4\/19)*a. Round w to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 9*h**2 + 9*h - 6. Let f be j(8). Solve -3*r + 3*z = f + 4, 3*z + 18 = -5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3017 (base 9) in base 12?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -25*s**3 + 2*s**2 + 2*s + 84. List the prime factors of j(-6).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + b = -11, 3*m + 2 = -3*b - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 13, e: 5}. What is prob of sequence xxex?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12*n**5 - 9*n**4 + 9*n**2 - 12*n. Let k be 3\/(-12) - (-7)\/(-4). Let y(r) = r**5 - r**4 + r**2 - r. Let v(x) = k*c(x) + 22*y(x). Factor v(q).\nAnswer: -2*q*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -420.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1221*f**4 + 2*f**2 - 18*f - 125 wrt f.\nAnswer: -29304*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 8.8685.\nAnswer: -8.7685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 451194 to the nearest 1000.\nAnswer: 451000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -225? (a) 9 (b) -5 (c) -0.5 (d) -4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34184000 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4 + 9. Is (6 + 1)\/1*a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 844052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2\/5, -0.45 in decreasing order.\nAnswer: 10, 2\/5, -0.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -6*d + 2*z - 71, 2*d - 2*z + 6 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4372777235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 12*d + 3. Let t be k(-3). What is the remainder when 35 is divided by 2\/(-8) + (-102)\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 - -87. What is the third derivative of -3*p**4 + p**3 + v*p**3 - 4*p**4 + 54*p**2 - 2*p**3 wrt p?\nAnswer: -168*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9166 - 9165.4. What is the third smallest value in c, 0, -124?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 o, and 1 l when four letters picked without replacement from {l: 1, o: 6, j: 7}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, l: 2, a: 2, r: 10, s: 1, h: 1}. Give prob of picking 1 r and 1 a.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -19*o**3 + o**2 + o. Determine g(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 396338*w + 74087*w - 272058*w.\nAnswer: 2*w**2 - 594309*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -11*h**2 + 3*h. Let j(t) = -10*t**2 + 2*t - 2. Give -3*j(b) + 2*s(b).\nAnswer: 8*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxxxsssxssxxx. What is prob of sequence xss?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 361 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(13) + -1*sqrt(13)) + sqrt(13) + sqrt(13))**2 + 0 + (sqrt(13) + 2)**2.\nAnswer: 4*sqrt(13) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 16*n**2 - 10*n**2 + 15*n**2 - 29*n**2 + 12*n**2. Let t(h) = 1037*h**2. Calculate t(l(v)).\nAnswer: 16592*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -10*l**2 - 25*l. Let n(s) = -5*s**2 - 12*s. Suppose -5*p = -2*a - 1, 3*p - 4 = -p. Let q(k) = a*t(k) - 5*n(k). Factor q(h).\nAnswer: 5*h*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*m**2 + 417954*m + 13045298.\nAnswer: 80*m + 417954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srsxkrrkdsk. What is prob of sequence dkk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {z: 5, q: 7}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.38 - -1.38. Which is the nearest to g? (a) -3 (b) -4 (c) 3\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 130 (b) 0.2 (c) 1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004086156322 rounded to six decimal places?\nAnswer: 0.000409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from ggzzggggngizngz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 5. Let d be z(5). Let a = d + 12. Is 9 + 1 + (9 - a) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0*i**2 + 76 + i**2 + 7*i - 72. Let d be -7*(-2)\/(-2) + 1. Let n be g(d). Let c(z) = 2*z**3 + 4*z**2 + 2*z. Calculate c(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15653 is divided by 5210.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/2, 2.94539, -1\/10 in increasing order.\nAnswer: -1\/10, 1\/2, 1, 2.94539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 197*m**6\/120 + m**5\/30 - m**4\/12 + m**3\/3 - 37*m**2. Is 10 a factor of c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357866 = 3*i - t, 4*t - 596415 = -5*i - 0*i. Suppose -i + 42887 = -m. Round m to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 11354 = 4*w + w, 6812 = 3*w - c. What are the prime factors of w?\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqssssqsssssssssssss. Give prob of sequence qqs.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (-8 - (12 + -4 + -10 - -15))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 859711*y**2 - 2289452*y wrt y.\nAnswer: 1719422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -155 (base 11) to base 10\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1377)*2 + -1)**2.\nAnswer: -72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2340 divided by 26\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + -6 + (8 - 5) - (-14 + 6 + 16).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/268 and 109\/1206?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 5, -5, 2, 158?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1726787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036304 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 4*c + 13. Give q(10).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1313 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 15842937.\nAnswer: 47528811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 13*q - 8. Let b(f) = -4*f**2 + 14*f + 9. Let p(r) = -4*b(r) - 5*c(r). What is the remainder when 5 is divided by p(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (13 - 3) - (-2 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, -77713 in ascending order.\nAnswer: -77713, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3325*n - 3723*n + 3429*n - 3475*n + 768*n.\nAnswer: -6326*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5496672 + -5495731.9577. Let y = 940 - b. What is y rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 - -0.6. Let p = -17 - -17. Let f = p - -0.06. Sort a, 0, f in descending order.\nAnswer: a, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58176 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 10) in base 2?\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1817115 and 5496?\nAnswer: 14536920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136 + -138. Which is the third smallest value? (a) -0.046 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -460.904 + 434.4. Let p = r + 26.9. Round p to two dps.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50690250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2 - -2 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9 - (-538)\/(-6). Let k = -90 - d. Suppose k = -5*a + 82 - 27. Solve -m - 3*z - a = 2, 4*m = -3*z - 25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*o**2 + 414 - 411 - o**4 + 2*o**4 in the form b*o**4 + t + j*o**2 + f*o + x*o**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 5) in base 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11428135, 22856265, 34284395?\nAnswer: 45712525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7134 and 870.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-126)\/(-198))\/(24\/44))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78 - -93)*81\/1701?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -381, -569, -757, -945, -1133?\nAnswer: -1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568303833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -23. Let b = 0 + -260. Let y be ((-6)\/(-4))\/((-78)\/b). Solve 4 - i = y*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5013 and 670071.\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/1)\/((-3)\/(-15)). Suppose -10 + 2 = -4*s. Suppose -s*z + x = z. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 4, 0.07, 0.3, -2372?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3336.81ms to minutes.\nAnswer: 0.0556135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2031 + 902. Let a = z + -20611\/7. Let p = a - -82\/7. Does p = 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 102 = -179 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7992 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.3, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/95)\/(-3)*94\/(-4230)*150.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/7*-1*7\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 134c74 - 93?\nAnswer: 134bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**3 - 2*j**2 - 2*j - 1. Let s be v(-1). Suppose 0 = 2*p - 4*a - 6, -4*p - 3*a - 28 = -7. Let d be (p - -3)*(-1)\/2. Solve s*z + z = d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152299032 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {e: 7, z: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -425 or -30075\/71?\nAnswer: -425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 1, 0.9, 16 in ascending order.\nAnswer: -1, 0.9, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p*p\/p**(2\/11))*p\/(p**(-4\/13)\/p) assuming p is positive.\nAnswer: p**(356\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 106.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/((-27)\/64) - (-6)\/9. Suppose 28 = 5*u - 3*l, 3*l - n = -5*u - 0. Solve -x - 4*o = -3, 0 = -x - x - u*o + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-36))\/((-90)\/1350 - (-4)\/10). Let s(k) be the second derivative of -2*k**2 - 10*k + f*k**4 - 1\/6*k**3 + 0. What is s(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11120.4832 times 0.03\nAnswer: -333.614496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (105\/14)\/(2\/872*2). Calculate the highest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 y, and 1 r when three letters picked without replacement from hqrqqhqy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -15. Suppose -m + j = 3*m. Let g be (-1)\/(7\/30000)*m. Round g to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(k**2 - 2*k**3 - k**2) + (0 - 3 + 8)*(-2 + 2 - 3*k**3) + 90 - 90 - 53*k**3.\nAnswer: -66*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2 + 137412*k - 56644224 = 0.\nAnswer: 416, 45388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 34 + 181. Suppose 19534 = 63*k - 2075. Calculate the highest common divisor of g and k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -22 - (-9 + 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 38, 9, 10, 1, 2 in descending order.\nAnswer: 38, 10, 9, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 7*y**5\/60 - 7*y**4\/24 - 395*y**3\/6 - 471*y**2. What is the derivative of j(h) wrt h?\nAnswer: 14*h - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**2 + 30312*b + 242240 = 0. What is b?\nAnswer: -7570, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*m**2 - 235*m**2 - 775*m**3 - 137*m**2.\nAnswer: -775*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8854180 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 6:25 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = d + 2675, 0*d = -3*l - 5*d - 2695. Let m = 241 + l. Let g = m + 1094. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -458 + 674. Let o be p\/45 - (-16)\/(-20). Solve 2*v + 4 = -b + 2*b, 0 = -2*b + o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25195454.59 rounded to the nearest one thousand?\nAnswer: 25195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v + 18 = -28*v. Solve -v*b - 15 = -f, -3*f - 10 = 2*b - 6*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1641 and 0.09.\nAnswer: -1640.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -18. Let s be (-267)\/(-9) + z\/(-6). Let g = 15 - s. Sort -0.1, 5, g in decreasing order.\nAnswer: 5, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1100.01 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012 (base 5) in base 6?\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*b - 23 = 0, 21 = -k - b + 7 + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5*-4*((-216)\/(-40))\/(-9)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1521 and 258533262?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h - 41*h + 4*h + 6*h + 0*h + 9*h.\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*z + 36, -4*n + 0*n + 5*z = -21. Suppose 2 = 2*h, -2*f + n + 14 = h. Calculate the remainder when 41 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 6 + -5 + 0 + 0. Let y = 22 + h. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + k)*(12*k + 0*k + 5*k) + (1 - 1 - 1)*(k**2 - 2*k**2 - k**2) + k**2 + k**2 - k**2 + 42*k - 24*k - 22*k - 7*k**2.\nAnswer: 30*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 385 and 25960.\nAnswer: 181720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/25)\/(a**(2\/23)\/a))**39)**(-18) assuming a is positive.\nAnswer: a**(-416988\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -5 - 9) + 29 + (11 - 22).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s = 0. Let z = 0 - s. Suppose 1080 = -z*k + 8*k. Calculate the greatest common divisor of 27 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1171948, 2343893, 3515826, 4687741, 5859632, 7031493, 8203318, 9375101?\nAnswer: 10546836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, and 2 h when four letters picked without replacement from hdrrrjnrdhrnnr?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 770 and -1.52.\nAnswer: -1170.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 2:33 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 2. Which is bigger: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 20*q**2 - 8*q**2 - 2*q - 7*q**2 + q**3 - 24 to the form f*q + v*q**3 + c*q**2 + h and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4 + 31. Let r be 201\/36*-3 + (-9)\/36. Let o = q + r. What is the smallest common multiple of 16 and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 574706 by 11.\nAnswer: 52246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f (base 16) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -202, 816, -9?\nAnswer: 816","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-108)\/(-21))\/((-696)\/11368). Put 0, a, 5, -1, 3 in descending order.\nAnswer: 5, 3, 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*z = 6*x - 2347, -5*x + 2932 = 2*z. Let j = -156 - x. What is j rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 1\/30*p**5 + 0*p**4 + 1\/2*p**2 + 0 + 0*p**3 + p. Let c(i) be the first derivative of q(i). Let z(x) = x. Give c(z(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = 0. Suppose u = -0*l - 4*l + 20. Solve -3*h - 4*x - l = -8*h, -4*h - 7 = -x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 2*j**2 - 10*j + 11. Let d be b(4). Factor 0*n - 2\/3*n**2 + 0 - 11\/3*n**d - 7\/3*n**5 - 16\/3*n**4.\nAnswer: -n**2*(n + 1)**2*(7*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 360 = -4*m. Are 46 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(1280)\/sqrt(5)))\/((sqrt(11) - -2*-4*sqrt(11) - sqrt(11))*2).\nAnswer: -sqrt(2)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 4*o - 4. Let l be c(-6). Let u be 5 + ((-6)\/(-8))\/(11\/(-44)). Find x, given that u*x**2 - 2*x + 8*x - l*x**3 - 6*x = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**5\/140 + b**4\/28 - b**3\/14 + 4*b**2 - 2. Let y(z) be the second derivative of h(z). Factor y(g).\nAnswer: -3*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 2*b - 4 + 85\/2*b**2. Let l be m(1). What is l rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108 - 477 - 7 + (3 - 1 + 0)*(4 - 1 - 1))*(-10 + 1 + 0 - 2*y).\nAnswer: 744*y + 3348","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -88\/169 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*d - 1)*(7195 - 69786 - 393 - 53227 + 10844).\nAnswer: 210734*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32032671 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9807*x + 175. Let n(l) = -6538*l + 125. What is 7*n(t) - 5*y(t)?\nAnswer: 3269*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.3, -3\/11, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40968, 81934, 122900?\nAnswer: 163866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 169, 0, -3, -58, 11, 4 in ascending order.\nAnswer: -58, -3, 0, 4, 11, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11609 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 20\/(-12))\/((-3)\/(-36)). Suppose 1560 = p + 4*p + z*j, 0 = -3*p - 2*j + 938. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005004 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -9*w + 8*w + 4734, -7*y = 2*w - 9480. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114980 by -114980.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.222 (b) -15 (c) 3 (d) 5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 388051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 63*j + 631. Give x(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**4\/24 + 2*d**2. Let g(h) = -h + 4 + 1 - 1 - 1. Let y be g(0). What is w(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17\/4, 1\/3, 335, 3\/10 in ascending order.\nAnswer: -17\/4, 3\/10, 1\/3, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 20*d. Let b(o) = 1058*o. Give b(y(g)).\nAnswer: 1058*g**2 - 21160*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9626*m - 11. Let l(c) = -13*c**2 + 15. Calculate z(l(j)).\nAnswer: 125138*j**2 - 144401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(684) + sqrt(684))*-4*5.\nAnswer: -240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/5)*f)\/(f*(f**(-3)\/f)\/f)*((f\/f**12*f)\/f)\/f**(-1\/13) assuming f is positive.\nAnswer: f**(-294\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 7*x**2 + x**2 + 4*x**2 + 10 to g*x**2 + q*x**3 + h*x + b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 1:43 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 237 from 9229179.3.\nAnswer: 9228942.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**4\/3 - o**3\/3 - o**2\/2 - o. Let u be a(-1). Suppose 5 = 2*q - 3*p, 2*p = -u*q - p - 40. Put 4, -4, q in descending order.\nAnswer: 4, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1)*(-10)\/20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17123 and -5846.\nAnswer: -100101058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**5\/5 + r**3\/3 + r**2 - r. Suppose 10 = 23*g + g - 14*g. Let w(o) = -o - 1. Calculate g*j(u) + 2*w(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exszxvza. Give prob of picking 2 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1327502354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*n**3 + 804*n**2 + 7809*n + 2166.\nAnswer: 3*(n + 19)**2*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*d + 2365, 0*d - 4*d + 1904 = 4*z. Let g = -235 + d. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(1\/3)\/w*w))\/(w*w\/w**(1\/2)))\/(((w\/(w*w\/(w\/(w\/((w*w**(-1\/3)*w)\/w))*w)*w))\/w)\/(w\/(w\/(((w**(-1\/5)\/w)\/w)\/w)))) assuming w is positive.\nAnswer: w**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((1 - (2 - 8)) + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.037 in 7, 63, 10\/11, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6668309 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/2)*o\/o**(-4\/9))\/(((o\/(o*o**8))\/o*o)\/o**9))**(5\/7) assuming o is positive.\nAnswer: o**(1705\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millennium in decades?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + l + 2*l - 8*l**2 + (6*l - 7 + 7)*(-3*l - l + 0*l) in the form f*l**2 + j*l + z and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 103\/3?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*p = -213*p + 320 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/6 - (-4)\/(-6). Let r = d + -3. Solve -5*a = r*w - 0*a - 5, 2*a = -5*w - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + b - b)*(-2*b**3 - 2 + 2) + 0*b**4 + 4*b**4 - 2*b**4.\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 908656749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -2 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 207 - 203. Let k(s) = s - 17 + 3*s**2 - g*s**2 - 23 + 31. Determine k(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:34 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -1)*(-3)\/6. Suppose -3*l + 70 = -d, 5*d - 2*d + 5*l + 196 = f. Let t = -62 - d. Let j(v) = -v**3 + 5*v**2 + v - 3. What is j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -507 + 511.34. Let l = f + -4.54. Which is the biggest value? (a) 1\/5 (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/5)\/(-3)*(-39)\/39.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 6313.\nAnswer: -3, 7, 6313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o + 7. What is k(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -595*c + 451*c + 3236 = -2524 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3080 and 73\/30.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1469\/10 + 16569\/110. What is the common denominator of -58\/231 and l?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206403.8545795 + 0.2\nAnswer: 206404.0545795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(7\/1 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1708180 rounded to the nearest 10000?\nAnswer: -1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/41? (a) -4\/7 (b) -2 (c) -1.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 - 27381494*z\/9 + 219051824\/9.\nAnswer: 2*(z - 13690739)*(z - 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 66.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -673335 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*d = 347*d + 2*a + 6, 3 = -2*a + 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003196259 rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1746142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/7 (b) -2 (c) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - ((-19)\/((-152)\/(-264)) + 12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-74)\/(-6) + 8\/(-24) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 7*d**2 + 6*d - 3. Suppose 0 = 2*l + x - 84, 3*x + 0*x - 120 = -3*l. Suppose -4*w = -0*w + 5*f + l, -20 = 4*w - f. Give s(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856805.9 micrograms in nanograms?\nAnswer: 856805900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*q**6 + 2*q**4*t - q**2*t - 31*q*t wrt q?\nAnswer: -1560*q**3 + 48*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56664086?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*g - 14 = 0, 4*k = 3*g - 0*g + 17 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -22*j - 65. Let s be q(7). What is the remainder when 7*s\/(-15) + 3\/(-15) is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 556164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:30 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21645610, -21645613, -21645616, -21645619, -21645622, -21645625?\n\"Answer: -3*k - 21645607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -756 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 5\/12*u**4 + 0*u**2 - 10*u - 1\/4*u**5 + 0*u**3 + 0. Suppose o(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1242, -5 in increasing order.\nAnswer: -1242, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = q - 4, 0 = d - q - q + 3. Let r(z) = 2. Let g(i) = -i. Suppose 56*t - 194 = -41*t. Give d*r(l) + t*g(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22506604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -40\/1137, -2\/3, 0.3, 3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 6:05 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 114?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 195075.4l in millilitres?\nAnswer: 195075400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 + -0.2. Let h = -0.08 + z. Let g = h + 0.7. What is the nearest to 3 in -4, -2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5142 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1480342)\/(-22))\/(7\/77) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 0, -5*c - 10 = -0*c + 5*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1. Let z(r) = -6*r + 4. Let a(p) = -12*g(p) - z(p). Let c be a(5). What is the third derivative of 6*q**5 - 2*q**4 + 5*q**5 + 2*q**4 - c*q**2 wrt q?\nAnswer: 660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15\/2 - -7. Let m = 226 - 225.7. What is the nearest to w in 3\/2, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 h when four letters picked without replacement from hhhqhhhqhqqhhhhhhqh?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 322 + -198. Let z = b + 25. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 12 + -32 + 7. Which is bigger: o or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bbb (base 13) to base 15.\nAnswer: -13aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 3, 7 in decreasing order.\nAnswer: 7, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 - 37*p + 41 + 50 + 61 + 39.\nAnswer: -37*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 13*r - 5*f - 1430 = 0, 0 = 5*f - 25. Sort -0.3, r, 5, -2 in descending order.\nAnswer: 5, -0.3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11806932 by -983911.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = -2*c + 840. Calculate the least common multiple of c and 44.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 18 = 11 + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + sqrt(396) + 2)*-3 - (0 + sqrt(891) - (sqrt(99)*1 - sqrt(99))\/sqrt(9)).\nAnswer: -45*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/43447 - -43457\/217235. Let j = -2 - -1. Put -1\/5, j, 4, r in ascending order.\nAnswer: j, -1\/5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1845677 + 77948 = -48*h - 1809. List the prime factors of h.\nAnswer: 2, 5, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*z + 20, 7 = 2*z - 3. Let l(v) = 2*v**2 + 3*v - 2. Is l(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 9 = -2*s - 3, 5*s + 24 = 2*d. Suppose 35 = d*n - n. Let v = -15 + n. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 - 105. Solve -r = -4*h + 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2746748\/13295 + -1\/13295. Let p = g - 12911\/60. What is the common denominator of 113\/(-18) - -2 - 3 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6359399650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 303790 greater than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:33 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(20\/3)\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*t - 6 = 5*s, 5*t + 2*s - 15 = 0. Suppose l + q + t*q - 32 = 0, 8 = -l + 4*q. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**4 + 11*s**2 - 11*s**2 - 10*s**4 - s - 2*s**3 as g*s**4 + h*s**2 + t*s**3 + j*s + z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 731089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 - 27\/(-4). Suppose 671 = 16*l + 607. Suppose n + 250 = 5*a, -a + l*n = y*n - 50. Calculate the greatest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from wwwpwwpwwppwwpgwpwwp.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 873, 4938, 12185, 22614, 36225, 53018, 72993?\n\"Answer: 1591*k**2 - 708*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 18*f - 29. Let o be d(-15). Let n be -5 + (-270)\/(-10) - 5. Is n >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3976196)\/(-4))\/(1 + 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {l: 1, d: 5, k: 7}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s. Let j(h) = -7*h**3 + 3*h**2 + 6*h + 4. Let q be j(-2). Let o = q - 58. Let p(m) = 17*m - 26*m**o - 17*m + 24*m**2. What is l(p(y))?\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 40 + 1\/6*d**3 + d**2 - 2*d. Give t(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21230 - 19115. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1586 and 15801318?\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/c**(2\/7))**(-3)*((c\/(c**5*c))\/(c**(3\/8)*c*c))\/(c**(-1\/7)*c**(-5\/3)) assuming c is positive.\nAnswer: c**(-257\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 35 = 18*j. Suppose -10 = -i - j. Suppose b**4 + 10*b**2 - b**5 + 71*b**3 + 5*b**4 - 83*b**i - 3*b = 0. What is b?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 - 16. Suppose -a - 4*g = -4, -3*g - 6 = -g. Let m(c) = -c**2 - 3. What is a*m(z) - 3*i(z)?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/3 + 2\/3. Let f = 20 - 17. Solve m = f*w - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-7\/6))\/d)\/(d\/d**(2\/27))*d**(2\/17)*d*d**(4\/5))**(2\/33) assuming d is positive.\nAnswer: d**(9907\/75735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 5*g = 15. Suppose -4*z + 7 = c, g*z + z - 4*c = 12. Solve 5*j = 5, -u + z = 2*j + 2*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 4, t: 2, h: 2, d: 1}. What is prob of sequence sd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -n + 11, -y - y - 4 = -5*n. Find m such that 11*m**3 + 7*m**2 + 16*m**4 - 2*m**n + 7*m**5 - 3*m**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1 - 2) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c + 75 + 36 = 0. What is the third biggest value in -5, c, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5 - 1 - 8 - h. Let o be s(0). Let l = -6 - o. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -678 - -689. Let s(n) = 6*n**3 - 2*n**2 - 2*n + 3. What is the remainder when s(2) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 66 = -1. Suppose 1 + 4 = -m*z, 5*z = -2*r + 11. Solve 5*i + 2*c - r = -0, -2*i = 3*c - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -4 + (8 - 43)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:03 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.5628529 rounded to the nearest integer?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/21 and 13\/282107.\nAnswer: 846321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202012440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6914 + m + m - 7182)*(2*m**2 - 2 + 2).\nAnswer: 4*m**3 - 536*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*10\/(-12)*6. Let u = 35 + p. Suppose -5*z + 2 + 23 = -3*o, 3*z = -o + u. Solve o = -b - 2 - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*x - 7*p - 16, -2*p = 2. Suppose 0 = -5*n + 2*k + 244, 0 = -2*n + 2*k - x + 106. Calculate the least common multiple of 40 and n.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*v - 2*v - 1, w - 5*v = 8. What is the units digit of -3 + (1 - -6)*(-66)\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 408*w**2 + 16095*w + 196794.\nAnswer: 3*(w + 29)**2*(w + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 + 2*u**4 - 3*u**4 + (5 - 5 + 12*u**2)*(4*u**2 - 5*u**2 + 3 + 0*u**2) - 5*u + u**4 + 5*u.\nAnswer: -10*u**4 + 36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1057 divided by -7.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -25) + -147 + (-175 - -339).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 14. Let t be s(-3). Solve -13*u + 8*u = t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -3 - 35\/(-7). Suppose -6*g + 5*g - 4 = -v, 6 = -2*v - 5*g. Solve -4*a - l + 11 = 0, -m*a + 2*l + v*l = -40 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.038 + 5.362. Let r = u - 5. Let m = -0.6 - -0.2. What is the second biggest value in m, 0.6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245 divided by 1.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*h = 7*f - 18, -3*f = 3*h - 6. Solve y + 2*y - f = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102803 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3, 5, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65677081.\nAnswer: 65677081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u. Let o(m) = -492271*m**2. Give z(o(a)).\nAnswer: 1476813*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 10*u - 13 = 0, -4*u - 27 + 19 = -0*u for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -2. Suppose -n + b + 0*b + 11 = 0, -4*b = 2*n - 40. Let r = g + n. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 22479070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976751843 to the power of 1\/2, to the nearest integer?\nAnswer: 44461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89947 * -2.3.\nAnswer: 206878.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1912)\/63 - 10\/45. Let g = -30 - f. What is the smallest value in 0.5, 4, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1065100 at most -1065001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a - 4*v - 320 = 0, -4*v + 85 = a. Suppose 4*l + a = -3*y + 351, -y + 90 = 2*l. Calculate the greatest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 5:41 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**3 - 86*p**2 - 56*p - 47. Let l be f(-21). What is the greatest common factor of l and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 0*r**2 - 3*r**2 + (981*r + 835*r - 1534*r)*(-r - 2 + 2) - 51 - 35*r**2 + 51 to y*r + o*r**2 + l and give o.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t - 4. Calculate the remainder when 40 is divided by k(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.4 - 4.5. Let p = 6.128 + -0.128. Which is the nearest to j? (a) -0.3 (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (8 - (1 + 0)) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 9:44 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2737 - -47513?\nAnswer: 44554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 4775*l + 4778*l + 10*l**2 - 11*l**2 - 9553*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 418 + 164. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 23*g + 7. Let u be k(-10). Let x = u - -205. Suppose -822 + x = -10*b. What are the prime factors of b?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {z: 3, x: 1, c: 4, o: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 18*o**2 - 7*o + 20. Is w(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l*(l\/((l\/(l*l*(l*l*l*l\/l**(-2)*l*l*l*l)\/l))\/l*l))\/l)\/l*l*l*l)\/l))**(7\/6)*(l**2)**15 assuming l is positive.\nAnswer: l**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-21)*(7 + (-10780)\/1544)\/1. Are l and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2 (c) 16.91 (d) 2\/75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 18 = -c - 3, c - 24 = 4*d. Let q be (-1 + 1)\/1 + -3. Sort q, c, -1 in decreasing order.\nAnswer: c, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308187, -308181, -308177, -308175, -308175?\nAnswer: -308177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 1, m: 2, s: 1, f: 2}. What is prob of sequence fuuf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18 - 6) + 30)\/((-1)\/2*3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*z**6 + 621*z**2 wrt z.\nAnswer: 8040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*i - 10*i. Suppose 4*v = 4*z - 4, i = -3*z - 2*v + 5 + 13. What is the third derivative of -14*k**2 + 322*k**5 + 4 - z - 294*k**5 wrt k?\nAnswer: 1680*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 13490*r**2 + 20038656*r - 9393248088.\nAnswer: 2*(r - 371)*(r + 3558)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*z + 131*z + 192*z.\nAnswer: 475*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**3\/6 + 4*c**2 + 3*c. Let j be s(6). Solve -2*h - 4 = -j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = 12, -4*i = 5*r - 54. What is the smallest common multiple of 18 and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*d**3 - 11*d - 141*d**3 + 13*d + 6*d**2 in the form b*d + c*d**2 + q*d**3 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 4. Let w be p(8). Is ((-26)\/w)\/((-1)\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 436, 670, 496, -290, -1892, -4514, -8360, -13634?\n\"Answer: -34*z**3 + 472*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 831*i + 759*i + 304*i.\nAnswer: 1894*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20355032 - 3?\nAnswer: 20355025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -6. Suppose 0 = -3*h + n*h - 11. Suppose -4*d = -5*g - 0*g + 13, 3*d + h = 5*g. Which is smaller: d or -0.8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffnf when four letters picked without replacement from {n: 7, f: 4, d: 6}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 10 = 5*y + 4, 18 = 3*y - 3*p. Factor 6*h**y + 7*h + 3*h**3 - 7*h.\nAnswer: 3*h**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/2*b**2 - 1\/2*b = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/2, 2\/319, -2, -0.03, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 754*t + 750*t - 511835*t**2 - 1504*t.\nAnswer: -511835*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*t - w + 95, 0 = 4*w - 8. What is the lowest common multiple of t and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -182*m + 198*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 11 = -3*q, -5*u + 239 - 236 = q. Sort 5, q, -77 in increasing order.\nAnswer: -77, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000113155769 to 7 decimal places.\nAnswer: 0.0001132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/24 - -3\/40. Put 2\/7, 5, i, 0.3 in descending order.\nAnswer: 5, 0.3, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22273*d**2 + 41480*d?\nAnswer: -44546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488 divided by -4.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268773*j**3 + 16*j - 37*j + 21*j.\nAnswer: -268773*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18528100 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 1 - 2. Let y be (21\/18 + -1)*f. Let k = -26.6 - -26.8. Which is the closest to -1? (a) y (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/5)\/(2\/30). Let q(b) = -2*b + 28. Let p be q(j). Solve -4*c + 3*i - 35 = 0, -2*c - i = p*i - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 10*o - 54. Let c be (-4)\/(-2) + 6129\/o. Suppose -399 = -2*i + c. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oobbobooooooobbo. Give prob of sequence bboo.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**4 + 215*d**3 + 11448*d**2 - 11664*d = 0.\nAnswer: -108, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 1:22 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + u - 4. Let p be b(0). Let f be ((-1)\/p)\/((-1)\/(-12)). Solve 4 = -f*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5032.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9424 - -9458. What is the remainder when 9315 is divided by z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 2\/19 (c) -4 (d) 2\/5 (e) 5\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2179*z**2 - 1537*z wrt z?\nAnswer: -4358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:46 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 - 116. Suppose 4*j - 11 = c. Let p(x) = -3*x**2 - 2*x**2 + 0*x**j - 6*x**3 - x**3 + 4. Let f(g) = -g**3 - g**2 + 1. What is -6*f(v) + p(v)?\nAnswer: -v**3 + v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12*(4 + -3))\/1. Suppose -u - r = -5*u. Let i(x) = 12*x**2 - 2*x - 6. What is the remainder when i(u) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) -0.9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7163091, -7163233, -7163469, -7163799?\n\"Answer: -47*h**2 - h - 7163043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**2*g**3 + 218*c**2 + 52*c*g**3*y + 2*c*g**3 - c*y - 3*g**2 wrt g?\nAnswer: 12*c**2 + 312*c*y + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2 and (((-2366)\/(-12))\/(-13))\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.449209l?\nAnswer: 7449.209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 3*z**2 - 9713*z + 19438*z - 9725*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -27. Suppose o = s + 6*f - 2*f - 51, -3*s - 5*f + 132 = 0. 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: Solve -3*m + 74*f + 654 = 885, -2*m - m - 5*f = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**2 + s - 1. Suppose n = 3*n - 4, -5*n + 19 = -3*q. What is the units digit of p(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2964?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1862 + 734d?\nAnswer: 8baf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 6*h**2 + 23*h + 22. Calculate s(8).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 12 + 4)*(5*z - 8*z + 11*z + (0 + 0 - 2)*(0*z - 5*z + 3*z))*(5 - 1 - 2)*(0 + z**2 + 0) in the form b*z**3 + n*z**2 + t + y*z and give b.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 3, x: 6, m: 1, n: 3, s: 4}. What is prob of sequence sn?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + (sqrt(18) + (sqrt(1152) - -3*sqrt(1152) - sqrt(1152)))\/sqrt(6) + 1)**2.\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n**3 - 4*n**4 - 20*n**2 - n**3 + 6*n**3 + 8*n + 0*n**3 = 0 for n.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*((1*sqrt(196) - sqrt(196)) + sqrt(196)))\/sqrt(4))\/(4*(sqrt(112) - sqrt(7))))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -15, 3*r - 108*z + 111*z + 9 = 0. Solve 52*a - 19*a + 99 = r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1) + (-8)\/(-10). Let g be ((-3)\/(-6))\/(1\/3). Let t = -1.7 - -2.7. Which is the closest to t? (a) 0.3 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6831 - 109377\/16. Find the common denominator of -47 - -49 - (1 - 106\/16) and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 + 2*t**2 - 6*t. Let l be ((-67)\/(-2))\/((-14)\/(-28)). Let n(p) = 31*p - l*p - 2*p**3 + 37*p + p**3. What is -k(x) - 4*n(x)?\nAnswer: x**3 - 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43732227*w**3 + 21083152*w**2 - 3.\nAnswer: 262393362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 7:10 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 7*j**3 + 3*j**3 + (-1 + j + 1)*(j**2 - 2*j**2 - 2*j**2) + 6*j**3 - 4*j**3 - 4*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p - 4, -8 = -2*q + 2*p. Let d(w) be the first derivative of 13*w**3\/3 - w**2 + 3*w + 2. List the prime factors of d(q).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 30 = -l, 5*l + 24*a = -7*a + 12*a - 179 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101101 + 0?\nAnswer: -100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/((-1650)\/200)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**7\/35 - l**3 - 2*l**2 - 3*l. Let b(d) be the first derivative of i(d). What is the derivative of b(y) wrt y?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -709.57812833\nAnswer: -709.37812833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3 - 33*f**2 - 63*f - 31 = 0.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -10354920.\nAnswer: -3106476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8167, 16347, 24527, 32707, 40887?\n\"Answer: 8180*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2*t + 24 = 0, 9*t - 8 = 5*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t = f + 11, 4*f + 14 = 2*t. Let y(h) = 6*h**2 + 9*h - 7*h**2 - 4*h + t*h + 2. Let a be y(5). Calculate the highest common factor of 18 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + 1224\/(-84))\/(6\/(-28)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 149?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*a**2 + 0)*(474 - 474 + 4*a) - 3*a**3 + 5*a**3 + 0*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -3*j - 15, 5*j - 7*j = -4*c + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-33)*r**(5\/12)*(r**(-23\/5)\/r*r*r*r)**(20\/7))**(4\/25) assuming r is positive.\nAnswer: r**(2267\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -70 in increasing order.\nAnswer: -70, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 4*c - 1. Suppose -8 = 4*m, -d + 2*d - 1 = 3*m. Let i = d + 8. Determine t(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 + -331\/3. Let x = 9192 - 9191.94. Which is the third biggest value? (a) u (b) x (c) 3 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6060 and -11405.\nAnswer: -5345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -429\/23 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -4. Suppose -b + 56 = 2*w, 4*w = -0*w - x*b + 124. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 0 + 0 - 29 + 24*k + 29 + (-3 + 0 + 2)*(-4 - 2*k + 4) - 2 + 2 - 5*k.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*s + 11*s + 21, -2*s + 14 = 4*h. Put 0.3, -3, h, -29 in ascending order.\nAnswer: -29, -3, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.5, -226?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let g(k) = 5*k + 106. Let r(l) = 2*l. Calculate r(g(n)).\nAnswer: 10*n + 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/13 - 97924*r**2\/13 - 293758*r\/13 - 195836\/13 = 0. What is r?\nAnswer: -48959, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -1 + (2 - -1). What is the remainder when (-30 - l)*-1 + 2 is divided by -34*((-3)\/6 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 6. Let l be d(-9). Suppose 0 = -2*r - l*k + 21, -4*r + 32 = -3*k - k. Suppose -23 = -r*j + 13. Solve -j*f = -f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 420246 = 3*a, -3*a = 3*h + 169233 - 421383. Is 24 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjpj when four letters picked without replacement from sjbpbbbjjj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 74. Put 0, 0.5, p in decreasing order.\nAnswer: 0.5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -389253311 times 0.3\nAnswer: -116775993.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Let o(q) = -12*q**y - 135*q**2 - 37*q**2. Let m be o(5). What is m rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n*w**3 + 1262*n*w**2 + 2*n*w + 5957099*w**5 - w**2 - 9791*w wrt w?\nAnswer: 24*n + 357425940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - a = -6, 3 = a - 0. Let o = -19 + -86. What are the prime factors of o*s\/5*3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 4*j + 4. Let y(n) = n**2 + 3*n + 3. Let v(h) = -3*p(h) + 4*y(h). Let g(z) = 63*z**2. Determine v(g(r)).\nAnswer: -7938*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(32)\/sqrt(2))\/sqrt(2))\/sqrt(4) + (sqrt(288) + -1 - sqrt(2) - 6*(1 + sqrt(2))))*-3 + 4)**2*3.\nAnswer: -2700*sqrt(2) + 3819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 o when three letters picked without replacement from {j: 1, u: 2, o: 2, p: 1, w: 1, f: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -6. Is (-9)\/12 + (-1031)\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -4*x - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.0359558 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -4*t**3\/3 - 3*t**2 + 296*t. Let p(v) = v + 1. Give -c(a) - 4*p(a).\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -1\/1683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 800840 - 282757?\nAnswer: 518083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 8:54 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 26 - 22*i**3.\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 4218*s + 94248.\nAnswer: -3*(s - 1428)*(s + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 11, 16, -400\/267?\nAnswer: -400\/267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79844, -79826, -79782, -79700, -79568?\nAnswer: -79374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 145*k**2 + 568*k + 27. What is g(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose 3*o - 9 = g. Suppose 4*j - 1 = y, -6*y = -10*y + 2*j + 24. Calculate the lowest common multiple of y and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - h - 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*y**3 + 231*g*y**2 + g + y**3 - 26596*y wrt y.\nAnswer: -6*g*y + 462*g + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 + -85059?\nAnswer: -8507b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 + 3*a + 40. Let i(t) = 11*t**3 + 8*t + 120. Let c(f) = 3*i(f) - 8*l(f). Calculate the remainder when c(0) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -30?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*p + 152*p + 147*p + 147*p + 1145 + 154*p + 146*p - 1144.\nAnswer: -14*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, 310, 1066, 2218, 3766, 5710, 8050?\nAnswer: 10786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 20. What is the remainder when 60 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2043 + -2042. What is the second smallest value in -0.7, a, -9?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3656595306?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 85895.8 and -4.\nAnswer: -343583.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 100.576 millilitres?\nAnswer: 0.100576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 925.8626 to one dp.\nAnswer: 925.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181\/78 - 7\/39. What is the third smallest value in 0.2, j, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 5. Suppose 7*f - 9*f = -2*i - 6, 5*f + 3*i - 31 = 0. Suppose -5*j + 34 = 3*u, -u = -3*j + 17 - f. What is the greatest common factor of j and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3108 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-20) - 19\/76. Put 1\/2, r, 0, -2 in ascending order.\nAnswer: -2, r, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + d)*(-29 - 87 + 4) in the form j + l*d and give l.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*t + 2 = 679 + 731 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3*z**3 - 2*z**3 + 5 + 9*z**2 - 3*z**3 - 10*z as w*z**2 + m + l*z**3 + c*z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 4, 60, 0.2, 0.1, 1\/172?\nAnswer: 1\/172","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 2. Let k be 15\/(-10) + 3\/2. Suppose -4*s + b - 22 = 0, 3*s - 4*b + 7 + 3 = k. Is c(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -702, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-30) - 39\/(-117). Find x such that -4\/5*x + i*x**2 + 2\/5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + (-6 - (-14 + 7 + -1)) + -5.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3796775000 rounded to the nearest one million?\nAnswer: -3797000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/33)\/(1*8\/(-88)). Let v(m) be the first derivative of 2\/21*m**3 + 4\/7*m + 2 + 3\/7*m**o. Let v(n) = 0. What is n?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:13 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*g + 48*g - 3415 - 8455 + 2952 for g.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from phwkpwwwphh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 210 = 2*h. Suppose h = -5*k - 48. Let o = k + 31. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**4 + 2 - 2*a**2 + 2*a**2 + (-4*a**3 - 36*a**3 + 6*a**3)*(0 + 2*a + 1 - 3) to o*a**2 + y*a**4 + u*a + c + g*a**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2*-70297985\nAnswer: 140595970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230592877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2750?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31051933 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2\/4 + 1349891*r\/4 + 449963\/2 = 0. Calculate r.\nAnswer: -449963, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1289*h - 14179. Determine s(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide ((-42)\/9)\/(11\/(-198))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-54)\/(-8)*12\/3. Let s = y - 27. Solve -5*u = 3*m - 5, 5*u + s*m - 5 = m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**(3\/5)\/q)*q*q\/q**(5\/6))\/(q\/(q*q**3)*q*q)**(-1\/17) assuming q is positive.\nAnswer: q**(259\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 4:07 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = -y + 1, 4*y - 5*b - 35 = 0. Let k be 1\/((-10)\/(-6))*y. Solve -l + 0*l = k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4339840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 5:30 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**7*a*a*a**5*a)\/(a\/(a**4\/a)*(a**(1\/15)*a*a)\/a*a)*((a**(-3))**(-17\/4))**(5\/7) assuming a is positive.\nAnswer: a**(10517\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14975712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15009856?\nAnswer: 2, 234529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -138*f - 139. Give r(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l - 800. Suppose -3*m - 12 = 0, 0 = 4*s - m - m - l. Suppose -5*x + 3*z - 8*z + 210 = 0, -x + s = -z. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000058796 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2389198?\nAnswer: 2, 7, 47, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-100)\/(-150)*(-60)\/(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 83063 and 0.9.\nAnswer: 83063.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15153 - -13803. Which is the second smallest value? (a) 2\/3 (b) 2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 3. Let v(u) = -u**2. Let f(y) = -6*y**2. Let o(q) = w*v(q) + f(q). Let z(h) = 5*h. Calculate o(z(j)).\nAnswer: 50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.4509608 hours to weeks.\nAnswer: 0.0622081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + k = -k - 338, d = 3*k + 77. Suppose -89*o + d*o = -68559. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -42. Suppose -5*g = -2*g. Suppose 0 = -2*h - 2 - g, f = 2*h + 16. What is the remainder when a is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 0.743536?\nAnswer: -0.02230608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, u: 1, r: 2}.\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 4532 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/11 or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n**2 + n**4)*(-2 + 2 + n) + 10*n**5 - 16*n**5 - 10*n**5 + (-3 + 5 - 8)*(2*n**3 - n**3 + 0*n**3)*(9*n**2 + 0*n**2 + 10*n**2).\nAnswer: -129*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**2 + 12*w**2 - 34*w**2 + 9*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 35 = 3*j + 281, 0 = 4*j + 2*g + 392. Let k be ((j\/(-35))\/((-2)\/(-7)))\/(-2). Let m(p) = -14*p - 9. Let u(h) = -9*h - 6. Calculate k*m(b) + 8*u(b).\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chc when three letters picked without replacement from {h: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -127, -132, -117, -70, 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-7\/5)*w\/w**(-1\/5)*w\/(w\/w**(-2\/21))*w**(-5\/4) assuming w is positive.\nAnswer: w**(947\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -3428.\nAnswer: -5\/1714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3*x + 48. What are the prime factors of 4\/x + 650\/15 + 4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8514*o**4*x**2 + o*x**2 + 6*o*x + 39*o - 2*x**2 wrt o?\nAnswer: -102168*o**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4594 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**3\/3 - w**2\/2 - 91*w - 595. Let z be s(10). Suppose 21 = -4*l + 5*l. Sort z, 2, l.\nAnswer: z, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 50. Put -28, -3, n, -1 in decreasing order.\nAnswer: n, -1, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -11. Let n(i) be the second derivative of 0*i**5 + 0*i**3 + 0*i**2 + i - 1\/30*i**r + 1\/12*i**4 + 0. What is the third derivative of n(h) wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241014?\nAnswer: 2, 3, 40169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 = -o + 3*l, -4*l = -2*o + 4. Suppose 0 = o*c - 7*c + 15, 0 = m + 2*c - 12. Put m, -2, 5 in increasing order.\nAnswer: -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 + 2*w**3 + 2*w**5 + (-2*w**3 + 5*w**3 - w**3)*(-w**2 + 6*w**2 - 3*w**2) + 2*w**5 + 0*w**5 - w**5.\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247773974 to the power of 1\/4, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-10\/3)*v*v)\/v**(-20)*((v**(-11)\/v)\/v*v)**(3\/41) assuming v is positive.\nAnswer: v**(3131\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/((-120)\/(-54)))\/12.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4333071205 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 25*w - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -9, 15 + 1 = c - x. Suppose -2*b - c = -37. Suppose 3*y - 7*y + 88 = 2*i, 3*i - b = 0. 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: Suppose 2*f - 66 = -5*b, 3*f - 86 = 13*b - 14*b. Solve -23*s = -f*s - 5*o, -4*s - o = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + l**2 - 1)*(4*l + 2*l - 4*l) - 2*l**2 + 2*l**2 + 7*l**3)*(l + l + l**2 - 3*l**2).\nAnswer: -18*l**5 + 18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218258, 218185, 218054, 217859, 217594, 217253?\nAnswer: 216830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**4\/2 - t**3\/6 + 77*t**2. Let d be m(2). Calculate the highest common divisor of 23 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2066 + 2065.9. Sort -98, -0.2, j, 2 in decreasing order.\nAnswer: 2, j, -0.2, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30542?\nAnswer: 2, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 86.849 and 2603226340.\nAnswer: 2603226426.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*q + 13, 2*d + 8 - 66 = 4*q. Let y = -8 + d. List the prime factors of ((y + 1)\/(-2))\/((-3)\/21).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103861 is divided by 3190?\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.183 + 4.183. What is the second biggest value in -3, 0.5, u, 186?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -9751, 672, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11207, -9522, -6713, -2780, 2277, 8458?\n\"Answer: 562*r**2 - r - 11768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**6*m)\/m**(1\/4))**(-19\/5)*((m*m\/m**8*m)\/m**0)\/(m**(2\/5))**(-15) assuming m is positive.\nAnswer: m**(267\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138 - 126) + -3 + (26 - 4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*z + 39*z = -2160 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56 - 30) + -14 + -112 + -8?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**5\/60 + f**4\/24 + 31*f**2. Let q(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((1 + 0)*-1). Suppose 0 = 4*a + 3*g - 38, -a + 5*a + g = 42. Suppose 5*m - 19 = -3*r, m + 2*r = -r + a. Which is bigger: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**2\/7 + 42916*o\/7 - 42912\/7 = 0.\nAnswer: 1, 10728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245778?\nAnswer: 2, 3, 13, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 9, l + 5*c - 12 = 6. Solve l = 14*f - 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -142*h**2 - 2 + 0*h + 49*h**2 + 28*h**4 + 45*h**2 + 42*h**2 + h**3 - h in the form d + q*h + f*h**4 + p*h**3 + t*h**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 10*p + 3. Suppose -5*q = 5*a - 25, 5*a - 2*q - 3*q = 15. What is the remainder when (-54)\/3*a\/(-2) is divided by y(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 591808, 1183619, 1775430, 2367241, 2959052, 3550863?\nAnswer: 4142674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168*z**4 + 138*z**4 - 125*z + 2 + 268*z to the form i + g*z + o*z**3 + n*z**4 + u*z**2 and give g.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 - -93.5. Let r = v - 18.19. What is r rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 1. Let u be z(-2). Suppose 0 = 3*c, -6*c + u*c + 54 = -s. List the prime factors of (s\/(-4))\/((-4)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3474*c + 6931*c + 76*c**2 - 3466*c + 2 as o*c**2 + f + l*c and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 7*v + 5. Let u be n(7). Let p(q) = q**2 - 4*q + 7. What is the tens digit of p(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w - 5*x + 1291, w - x = 316. Let q = -159 + w. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*d + 249*d = 70 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/123 and ((-171)\/(-532))\/(123\/33).\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -240?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 5, 0.5, 338?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 9, -5\/6, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)\/(d\/(d*d*d\/(d*d**(-15))))*d\/(d\/d**(-1\/31))*d**(-44)\/d assuming d is positive.\nAnswer: d**(-1086\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 801*r - 2. Let l(v) = 3*v + 1. What is -7*l(q) + m(q)?\nAnswer: 780*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p + 4*p - 4*p)*(p - 2 + 2) + (-3*p**2 - p**2 + 6*p**2)*(-3 + 3 - 1) as w + d*p + i*p**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Calculate the smallest common multiple of m and 1\/(-6) - (-75)\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -21*u + 4. Let x(q) = -62*q + 11. Let r = -3371 + 3377. Determine r*x(y) - 17*z(y).\nAnswer: -15*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1513560, 1513597, 1513652, 1513719, 1513792, 1513865, 1513932?\n\"Answer: -c**3 + 15*c**2 - c + 1513547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0. Let v = 68 + -135\/2. What is the closest to b in -0.1, 2\/9, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24893\/1046 or -25?\nAnswer: -24893\/1046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 555\/37*(6\/(-10))\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/((-2)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/4196 and 93\/16.\nAnswer: 16784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 q when three letters picked without replacement from qqqnqqnqnq.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -202 and -234632.\nAnswer: 47395664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83350*k**2 - 3 - 4 + 83385*k**2)*(0 + 1 - 3)*(-1 - k + 1).\nAnswer: 70*k**3 - 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2. Let v(y) = -114*y + 3. Let d(s) = -s + 3. Let i(l) = d(l) - v(l). What is k(i(q))?\nAnswer: -25538*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1931\/6 + 322. Let o(a) be the third derivative of 0*a + 1\/6*a**3 + m*a**4 + 0 - 2*a**2. Differentiate o(i) with respect to i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1.41 (c) 1\/6 (d) -24\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81016 + -30064. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.4 times 1\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*o = -1564167 - 1114977. What is the greatest common divisor of o and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dcc + 9?\nAnswer: -dc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008909 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dozszhn. Give prob of picking 1 h, 1 d, 1 o, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99\/7 - -509\/35. Let y = 8 + -5. Let u = y + -2. Which is the nearest to u? (a) 4 (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 28*o**2 + 62*o - 67. List the prime factors of n(-21).\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/4 + 8*c**3 + 87*c**2\/2 - 8*c - 175\/4 = 0 for c.\nAnswer: -25, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*o**3 - o + 11 - 11 in the form t*o**2 + r*o + j + v*o**3 and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/(-15))\/(6\/(-30)). Let j = 6 - s. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*a + 5*a. Suppose -3*s = 2*r + s + 8, -5*r - a = -s. Let c = r - -27. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213167 is divided by 137.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 4054901 and -0.03 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -48. Let h be 5 - (-5 + m - 0). Solve -3*o - 14 = 5*b, h = -o - 3*b - 0*b - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, h: 6, l: 1, r: 4}. Give prob of picking 2 g.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4754263256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -0.11, 1, 0.36, -5, -0.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851832 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 + 81*o**2 + 70*o + 29. Let f(d) = -26*d**2 - 24*d - 10. Let a(h) = 2*b(h) + 7*f(h). Suppose a(k) = 0. Calculate k.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**3 + 2. Let w = 8 + -5. Let x(d) = 4*d**2 - 5*d**2 + w*d**2. Give r(x(i)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3312000301 - -2?\nAnswer: -3312000233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 107*s**8\/84 - 29*s**5\/30 + s**4\/12 + 2*s**2 + 351*s. What is the third derivative of h(o) wrt o?\nAnswer: 25680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8*u*u*u\/(u**1*u*u)*u*(u\/u**1)**28)**(-1\/31) assuming u is positive.\nAnswer: u**(-9\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 345329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 893\/6, -2 in decreasing order.\nAnswer: 893\/6, -0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + 4*o + 5*o - o - 3*o + (o + o - 4*o)*(-2 - 3 + 3) - 15*o + 3*o + 0*o)*(-o**2 - 3*o**2 - o**2).\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -12*o - 398. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.24 (b) -0.1 (c) 243 (d) 0 (e) 0.2 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1008 and 4848.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -5, -1, 2734?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -899, -994, -1093, -1202, -1327?\n\"Answer: -k**3 + 4*k**2 - 100*k - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g + 1\/6*g**4 + 0*g**2 + 0 + 0*g**3. Let l(s) = -2*s + s - 3*s. Calculate l(h(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-38))\/((-70)\/45*(-6)\/(-8))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5 - 2 = -y, -3*y - 2*k = -19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/1760?\nAnswer: -1\/1760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 1313344.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3*t - 2*t)*(3*t + 0*t + 4*t).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32901 by -3.\nAnswer: 10967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18862424*d*v**5 + 9*d*v - 1161668*d wrt v?\nAnswer: -377248480*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5 + 17. Suppose -i*j = 2*f - 2*j - 6, -3*j = 6. Sort -4, f, -2 in descending order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 142, 215, 210, 127, -34, -273, -590?\n\"Answer: -39*v**2 + 190*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1)*1\/(-2). Suppose 3*g - 3 = -l. Find the third derivative of 1 + 3*z**3 + 3*z**2 - g + 0 wrt z.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732884220 not equal to 732884218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, 5, 1 in decreasing order.\nAnswer: 144, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 35632*p - 313. Is n(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -297 + 302. Suppose 545 = q*v - 5*w, 2*v - 31 = -3*w + 167. Calculate the least common multiple of v and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 913 (b) -1\/2 (c) 14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(36)\/(sqrt(588)*-2 - sqrt(588)) + ((2*sqrt(36) - sqrt(36))*6)\/sqrt(12).\nAnswer: 125*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -4 (b) 13 (c) 1.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 11*n**4\/4 - 11*n**3\/3 + 6. What is the third derivative of q(i) wrt i?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 4 - 4. Let k(x) be the first derivative of -2 + 1\/2*x**2 + 0*x. Determine k(o(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - -1 - 7 - -5) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/((-24)\/40*-5*-5)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/2 - (-2)\/(-4). Let g(d) = d**3 - 16*d**2 - d + 15. Let k be g(16). What are the prime factors of k*9\/(-3) + l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16303347 - -4?\nAnswer: 16303352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109035 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 n when four letters picked without replacement from hnhhhhnnnnnnhhhh?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 1, z: 5, t: 10, r: 1, s: 1}. What is prob of picking 1 z and 1 t?\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(1\/24)*(n\/n**(2\/9))\/(n*n**(-5\/3)*n)*n**(-9)\/(n\/n**3)*n**(-6)*n**2 assuming n is positive.\nAnswer: n**(-3043\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(13) - sqrt(208)*-5).\nAnswer: 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 353.8 - 353.5. Which is the fourth biggest value? (a) w (b) 4 (c) 17 (d) -4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*v = 64*v + 44. Solve -v = 5*x + 4*r, 5*x - 4*r - 9 = -3*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxg when three letters picked without replacement from gvxgu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**2 - d + 2*d + 5 - d**3 + 0*d**3. Let m be h(-6). Let s = m + 0. Is 0 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-129)\/45)\/((-2996)\/(-84)) and 89\/10?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*h - 2*h - 13, 4*x + 5*h = 23. Let g = x - -2. Solve 0 = 4*f - g - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-9)*(-3)\/2. Suppose 4 = -j, y*j = 5*g - 1365 - 1776. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 36*n - 96*n + 15 - 50*n - 8 + n**2 to u*n**2 + j + h*n and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (56*v + 141*v - 34*v)*(4*v - 4*v + 2*v)*(0*v**2 + 6*v**2 - v**2) as q*v**2 + b*v**4 + k*v**3 + z*v + m and give b.\nAnswer: 1630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47530 is divided by 100?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855632669?\nAnswer: 3, 11, 6553, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334037877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l + 6. Let y(p) = p**3 - 7*p**2 - 6*p - 5. Let c be y(8). List the prime factors of n(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1442 + -145353?\nAnswer: -143511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-2))\/(11\/((-1155)\/(-14))). Let b = -56 + i. Calculate the remainder when 18 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -192473\/73 - -2637. What is the common denominator of b and -59\/730?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10098 divided by 22.\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*t - 9 = -3*c + 3*c + 60*t, -148 = -5*c - 4*t for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 42\/((-90)\/(-15)) + -6. Solve -q**c - 4*q - 1 + 11\/4*q**3 + 3\/4*q**2 = 0 for q.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-82)\/126 + (-20)\/(-90). Sort b, -2\/11, 1.\nAnswer: b, -2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -0.843?\nAnswer: 0.01686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -0.1, 0.1, -2113, -52 in decreasing order.\nAnswer: 0.1, -0.1, -24, -52, -2113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 811 in -2, 1, 0.2, 1\/3, 16.1?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.46 less than 8.5?\nAnswer: 9.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3532 + -632?\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - 3*m**2 - m + 3. Let q(d) be the second derivative of d**5\/4 + 2*d**4\/3 + d**3\/3 - 4*d**2 - d. Calculate 8*j(f) + 3*q(f).\nAnswer: -f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12363\/407 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*b - 163 + 453*b + 46*b + 163 as r*b + k and give r.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 5*p - 1. What is a(-4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/42*6*1645\/(-1410)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - 2*(sqrt(152) + (sqrt(152) + 1*sqrt(152) + sqrt(152) - sqrt(152)) + sqrt(152) + sqrt(152)) - sqrt(152))\/(2*-1*sqrt(8)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4 (c) -8562\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 - -84. Let n be 12\/1 + 1 + 0. Let g = a + n. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92150 less than 92155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**4\/7 - 64*c**3\/7 + 20*c**2 - 72*c\/7 = 0.\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2367*d + 2392*d - 41 + 166 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 10. Let v be c(-10). Suppose -20 = -2*w - v*w. Let j = -6 + w. Solve b + 0 = -j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 1137*c - 116593. Calculate g(114).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/4)*z)\/((z*z**(-2\/11)\/z)\/z)*(z**1)**44)**(-14) assuming z is positive.\nAnswer: z**(-14455\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 198, 381, 554, 717?\n\"Answer: -5*v**2 + 198*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**(-2\/21))))\/o**(9\/2)*o**25*o\/o**(-32\/3))**20 assuming o is positive.\nAnswer: o**(13970\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - l - 8, j - 2*j + 4*l = 12. Suppose v = -j*v + 10. Suppose -12 = -0*q - 4*q. Solve v*n = 1 + q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -13. Let s be 3\/(-6) + 2\/v. Factor 0 - 2\/3*p**3 + 0*p**2 + s*p - 2\/3*p**4.\nAnswer: -2*p**3*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -807041177 divided by 1\nAnswer: -807041177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*p - 2*n - 5, -5*p = -2*n - 35. Suppose -5*q + 15 = -2*q, -p*q + 373 = 4*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 17*t - 17. Let d be j(15). Let y be (d\/623)\/(4\/(-6)). What is the smallest value in -5, y, 0.7, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 1641410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30035 + -29796. What is the remainder when 1664 is divided by p?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 2 - 1)*(4*u - u - 2*u) + 46*u + 20*u + 2 + 11*u)*(3 - 3 + 3*u**2) in the form w + i*u**3 + k*u**2 + y*u and give i.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -67251 and -4.68458186.\nAnswer: -67255.68458186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -35*d**2. Let z(n) = n. Let g(q) = -3*q. Let l(f) = 2*g(f) + 5*z(f). Give l(i(c)).\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5 - 30*a**4 + 86*a**3 + 294*a**2 - 736*a + 384 = 0. What is a?\nAnswer: -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50393385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*d*j*x + 42*d*j - 2*d*m**3 - j*m**3*x + m**3 + 479*m**2*x wrt j.\nAnswer: -8*d*x + 42*d - m**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from eeke?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - s + 3. Let u be d(0). Let k(j) = 3*j**2 + 1. Let v be k(-1). Suppose -2*i + 28 = -v*p - 58, 3 = -u*p. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -d77?\nAnswer: -d80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3052?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/2 of a century?\nAnswer: 34200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 1483*n**5\/60 - 3061*n**4\/12 - 1032*n**2 - 2*n. What is the second derivative of f(x) wrt x?\nAnswer: 2966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 33 - 33 - 3*a. Let q(d) = d**3 - 2*d**2 - d + 4. Let w be q(2). Let h(j) = -5*j**2 + 2*j**2 + j**w. Determine n(h(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 27*i + 52. Let r be j(-2). Let a be 12\/r*3\/(-30). What is the closest to 2\/3 in a, 2\/29, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-8)*(-2272)\/(-994)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3356 is divided by 307.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360\/7 equal to -6186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**5\/5 + 192*y**4 - 1911*y**3\/5 + 954*y**2\/5.\nAnswer: -3*y**2*(y - 318)*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*p - 1434, -1112 = -2*p - 4*o + 320. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407860 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, b: 2, x: 3}. Give prob of picking 1 j, 1 x, and 2 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/19 (b) 57 (c) 4\/5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 18133 = -3*x, -2*x + 3*m + 11028 = -1072. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2456660791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/6*(-312)\/260?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 divided by 2.\nAnswer: -173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 473876 and 6129544.\nAnswer: 2804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 192463, 192446, 192415, 192364, 192287, 192178?\n\"Answer: -y**3 - y**2 - 7*y + 192472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Suppose c = 2*l + 4*f - 5*f, 4*f = 3*l - 6. Solve 3*y - 1 - l = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*((-33)\/(-12) + -2) + 2. Let d be (6\/12)\/(3\/(-72)*f). Solve -4*w + w = -d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1092 + 10*z - 345 + 1437.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*k - 34 + 34)*(228 - 103 - 239) to j + v*k and give v.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 67. Let g be p(39). Differentiate 39*r + 19*r + 50*r + g*r + 274 - 10*r wrt r.\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + i**2 + 6*i + 2. What is l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(65)\/(sqrt(720)*-1) + (2 + 4 + sqrt(13) + 1)**2.\nAnswer: 167*sqrt(13)\/12 + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 2120856?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/146 in 2\/17, -4, -190, 0.9?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 8*h + 13. Let j be d(-8). Suppose -29 = -2*p + j. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 78 (b) 2 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 8)*(-5)\/((-20)\/1696). Calculate the greatest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -1 + -1)**2.\nAnswer: -48*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3531392 divided by 376\nAnswer: -9392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2)*(-112)\/(-35))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnz. What is prob of picking 1 z and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*p + 111*p + 24 = 0. Solve -p*v + 0 = -9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010 (base 2) to base 3.\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtb when three letters picked without replacement from {b: 1, q: 1, d: 2, t: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.5525 - 7.\nAnswer: -26.5525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 299505799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14*((-1127)\/(-14) + -2). Let k = 560 + v. What is k rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1278776 millimeters?\nAnswer: 0.0001278776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 18*d - 35 = -15*d, -25 = 3*i + 7*d - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 a factor of 12844347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5120642 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16963, 33926, 50889, 67852?\n\"Answer: 16963*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 1083700125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -78525005 divided by 4355?\nAnswer: -18031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + k + 11 = 0, -4*k + 5*k - 1 = -2*x. Suppose -5*s - 3*w + 1634 + 3223 = 0, -x*s = 4*w - 1954. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21521820\/7 or 3074545?\nAnswer: 21521820\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 1. Let a be o(4). Suppose a*i - i - 10 = 0. Let p = 7 - i. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0 - 1\/6*m**3 - 3*m - m**2 - 1\/24*m**4. Let v(o) be the first derivative of q(o). Differentiate v(w) with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526008 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l + 3*a - 12, -2*a = -5*l + 15. Suppose 0 = 4*n - l*n. Let h be 1 + -3*3\/(-9). Solve n*k = -h*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 + 4504*n - 835978\/5.\nAnswer: 2*(n - 37)*(n + 11297)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29808469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/sqrt(90))\/(sqrt(40)\/sqrt(128)).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 3*u - 15*u. What is the remainder when (5674\/30 - u) + 2\/(-15) is divided by 72?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 754 = 3*p + c, 9*p - 7*p = -3*c + 498. Calculate the highest common factor of p and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/(507\/702)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3205\/6 + -550. What is the common denominator of -19\/450 and l?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 5 - -1) + -7 + (-2 - 48).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-9 - -5) + -1 + 11 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -9*z + 2*z. Suppose 10*j + 0 = z. What is the remainder when 247 is divided by 26\/12 + j\/(-6) + 60?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 3. Let k(f) = -2*f**2 + 6. Let v(o) = -3*k(o) + 5*u(o). Let q be v(3). Solve 20 = -2*h + q*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + m - 3. Let d(n) = -n**2 + 4*n. Let k be d(5). What is the remainder when (-243)\/k - 2\/(-5) is divided by w(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*x - 3. Let g be (-4)\/14 + (-200)\/(-210). What is the closest to -2 in g, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r + 20. Let q be c(-6). Suppose -4*t - 6 = 10, -q*p = -4*t - 6. Let u(x) = x**3 + 6*x**2 + 5*x - 1. Give u(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 + 102 + -62 - (-10 - -14)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b**3 + 6*b**2 - 23*b + 26. Determine t(5).\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -1818*r**3 - 10911*r**2 - 16380*r - 27 = 0.\nAnswer: -3, -1\/606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -3320031224?\nAnswer: 3320031233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + x + 5, -3*x + 2*x = -5*q + 9. Let l = 292 + -291.95. Which is the smallest value? (a) -5\/4 (b) q (c) -4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r = 3*t + 541, -5*t - 547 = -4*r. Differentiate -r + 124 - 2*k**3 - 3*k**3 with respect to k.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 296132 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 40743805 to the nearest one hundred thousand.\nAnswer: 40700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4871 + 7482. Let l = -44361\/17 + k. Let n = -275\/102 + l. Is n at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, j: 1, z: 2, d: 1, g: 1, h: 1}. Give prob of sequence ahjg.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + (sqrt(75) - (sqrt(75)*1 + sqrt(75))**2) + -1 + ((2*sqrt(75) - sqrt(75)) + sqrt(75))*3*6.\nAnswer: -297 + 185*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoq when three letters picked without replacement from qorsqoooxooxoqtooqoq.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 5*s - 1. Let n be a(3). Suppose -55 = -n*j - 5*p, 4*j - p = -0*j + 19. Let w = -42 + 72. Calculate the greatest common divisor of w and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*v = -10, -5*v - 5 = 2*o + 8. Find the third derivative of -o*t**2 + 0*t**4 - 10*t**4 - 7*t**2 - 3*t**4 wrt t.\nAnswer: -312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 2322075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -10*o. Let n(j) = -398*j - 2. Calculate n(z(g)).\nAnswer: 3980*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042059755 rounded to six decimal places?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 101275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 2, d: 1, v: 2}. Give prob of picking 2 i and 1 z.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -484500 and -9.893.\nAnswer: -484509.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 195754780 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 - 81 = -10*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 = 1. Suppose 0 = -d*i + 3*h - 12, -6 - 2 = i + 3*h. Suppose -63 = 20*s - 103. Sort -4, i, s in descending order.\nAnswer: s, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 7313, -0.02, -263 in descending order.\nAnswer: 7313, 3, 0, -0.02, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 73815107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118525268?\nAnswer: 2, 19, 919, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 1.7 (c) 0.1 (d) 3 (e) -20 (f) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**2 + 1116*p + 22134528 = 0. Calculate p.\nAnswer: -2217, 2496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 662 + 328213*c**3 + 3*c + 328216*c**3 - 656431*c**3.\nAnswer: -2*c**3 - 662","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -2*m**3 - m - 2. Let y be r(-1). Let w = y + 13. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let t(u) = 8854*u + 627. Let o(r) = 253*r + 18. Let j(a) = 209*o(a) - 6*t(a). What is v(j(f))?\nAnswer: 61009*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 d when three letters picked without replacement from aaraohaapaardaa.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 a when four letters picked without replacement from wiawiiiwwwwwww.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111100010110100 - -10100?\nAnswer: 10000111100011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 80455265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 1\/30*z**5 + 0*z**4 - z**2 + 0 + z - 1\/3*z**3. Let n(u) be the first derivative of t(u). Give n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5 - 4 - 3*v + 6. Let h be f(-8). Calculate the highest common factor of 14 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 4*g + 4*g)*(-9*g + g**2 + 9*g)*(g + 1 - 1).\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 5:17 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 13.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -123.\nAnswer: -11\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + 99 + 23 + 5 + -19.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*u**2 + 14*u**2 - 15*u**2)*(2*u**3 - u + u) + (2239 + 93*u - 2239)*(-2*u**4 + u**4 + 0*u**4) + u**3 - u**3 - 2*u**5.\nAnswer: -43*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1252*g + 1079*g - 464*g**2 - 586*g - 1382*g**2 wrt g.\nAnswer: -3692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3\/15 + 1336*x**2\/5 + 679896*x\/5 + 31617152\/15 = 0.\nAnswer: -994, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/9 and -23\/71.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24868, -24935, -25000, -25063?\nAnswer: -25124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, -8, -0.04, 5, 2\/1601, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a day in minutes?\nAnswer: 12672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1915817*o**2 + 1832054*o wrt o.\nAnswer: 3831634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-728)\/(-42) + -17. Let u be (2\/(-4))\/(5\/4). What is the biggest value in -0.6, 1, y, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -70?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-1))\/i*i\/((i\/(i**(-13)\/i))\/i)*i**(-11)*i*i**(-2\/9) assuming i is positive.\nAnswer: i**(-191\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1506?\nAnswer: -1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 14 - 20. Let o = 5 - 5. Let m(f) = 2*f**3 + o*f**3 - 15*f**2 + 14*f**2 + 1. Calculate m(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 7*d**3 + 37.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 348 (base 12) to base 2\nAnswer: 111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/372 and (-27713)\/2170 - -6 - -7?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/6*159\/(-371).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(((l*l*l\/(l\/l**(-7)))\/l)\/l*l*l*l)\/l)*l*l)\/(l*l\/((l**24*l)\/l)*l))**(1\/6) assuming l is positive.\nAnswer: l**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1320423 - -1231?\nAnswer: -1314142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 7*i**2 - 10*i + 4. Suppose o - 5*o - 3*z = 35, -4*o + z - 15 = 0. Calculate m(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43376231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.29 and 534359?\nAnswer: 534359.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 + k**4 - 2*k**4 - k - 17 - 3*k**4 to w*k + y*k**4 + r + c*k**3 + x*k**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 770, 771, 772, 773?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 414, -1 in ascending order.\nAnswer: -1, 31, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 679, 819, 955, 1087, 1215?\n\"Answer: -2*a**2 + 146*a + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.993 - -2.007. Put 3, -0.5, w, 0.23 in ascending order.\nAnswer: -0.5, 0.23, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -274154 (base 9) to base 10.\nAnswer: -167071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -111? (a) 155 (b) -2\/7 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**3 + 2*h**2 - 2*h - 4. Let a(r) = 5*r**3 - 3*r**2 + r + 5. Give -3*a(q) - 4*v(q).\nAnswer: q**3 + q**2 + 5*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*o - 337*o + 703*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 443*d**3*y + 4707*d**3 + 3*d**2*y - 2*d*y + 5 wrt y.\nAnswer: 443*d**3 + 3*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70408 and 42120?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2618.8401 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4507 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1136 = -10*v + 1886. Calculate the highest common divisor of 475 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 p when three letters picked without replacement from {p: 4, r: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - -41126?\nAnswer: 41104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 6530791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 6 - (1 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4538 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53\/6 - (-108)\/(-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2091 times 3.3\nAnswer: -0.69003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, i: 4}. What is prob of picking 4 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -241133\/36 - -6699. What is the common denominator of 161\/120 and c?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. Suppose 0 = -g*w + 205207 + 318793. What is w rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-195)\/(-36))*(-55)\/66*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 29*p**3 - 2*p**2 + 6*p + 6 - 30*p**3 - 2. Let b(a) = -a**2. Let l(n) = 5*b(n) + i(n). Calculate l(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**5\/20 + o**4\/8 - 10*o**3\/3 + 10. Let q(r) be the third derivative of y(r). What is the first derivative of q(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52501 (base 7) in base 10?\nAnswer: -12937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1342*k**3 - 3*k**2 + 12*k + 15. Let g be j(-1). Calculate the greatest common factor of g and 305.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 2, o: 1, e: 5}. Give prob of sequence otoe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 15844.\nAnswer: 47532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-7)*n*n*n)\/n)\/(n**(-3\/5)*n))**11\/((n*n**(1\/3))**(-50)\/(n**(1\/2)*n*n**(1\/2))) assuming n is positive.\nAnswer: n**(469\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -343 + 312.1. Let j = 30.973 + 0.027. Let v = j + p. Which is the nearest to 1? (a) 0.5 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*q + 77 = -599*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-2))\/((1\/(-20))\/(7\/(-35))). Is b at least as big as 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - 3*s**5)*(1 + 2 - 5) - s**5 + 1 - 1 - 2*s**5 + 2*s**3 - 2*s**3.\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4195.\nAnswer: 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 4\/6)*(-3)\/2. Let y(c) = -x*c + 25*c**2 + 14 - 22 + 6. Let s be y(-1). What is the greatest common divisor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-63)*-27*(-4424)\/474.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 328, 665, 1002, 1339, 1676?\n\"Answer: 337*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2934 + -43182357\nAnswer: -43179423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.02 - 42.011816. Round h to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 23. Calculate j(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b + 0*b)*(-2*b**2 - 2 + 2) + 17*b**2 - 17*b**2 - 34*b**3.\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + 0.38. Let h be -154*231\/1498*5\/(-90). Let i = h - -3\/214. Put -2\/11, w, i in ascending order.\nAnswer: -2\/11, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1785, 5764, 9729, 13680, 17617, 21540, 25449?\nAnswer: 29344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r - 45*r - 9 + 9 + 19*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -89*h**2 + 21*h - 565. Let u(j) = 9*j**2 - 2*j + 57. What is 2*o(v) + 21*u(v)?\nAnswer: 11*v**2 + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 1, 0, -5, 3\/64 in ascending order.\nAnswer: -5, -2\/9, 0, 3\/64, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 6:28 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 636 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 + -13423?\nAnswer: -14041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**2\/7 + 9224*g\/7 + 5223222\/7 = 0.\nAnswer: -3951, -661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-366)\/(-1464))\/(2\/(-256))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1238280522 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95823305301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 778 divide 2976628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by 5.\nAnswer: -81\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47039832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 13. Let o(g) = -705*g - 714*g + 1425*g. What is o(p(r))?\nAnswer: 6*r - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8, 5, -891?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 130.893 and 0.1.\nAnswer: 130.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-14)*(-168)\/(-182)*13.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**4\/12 + 43*n**3\/2 - 953*n. Solve a(t) = 0 for t.\nAnswer: 0, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -8981?\nAnswer: 898.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 66, -4\/5, -7, 4, 603 in ascending order.\nAnswer: -7, -4\/5, 1\/2, 4, 66, 603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1069*q*u - 21577*q + 28*u - 810114 wrt q?\nAnswer: -1069*u - 21577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -64545, -95 in decreasing order.\nAnswer: 2, -95, -64545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36*m*w**2 + m - 3*w**3 - 988 wrt w.\nAnswer: 72*m*w - 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12462051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = g + 2*g. Suppose g*s - 5*s = 30. Suppose 0 = s*i + 5*r - 570, i + 7*r - 102 = 2*r. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - m - 1424 = 0, 4*a + 4*m - 1904 = -0*m. List the prime factors of a.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1. Let i(a) = 3*a**2 - 6*a + 2. Give -i(k) + 3*r(k).\nAnswer: -3*k**2 + 6*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 379443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/47869 and 77\/4.\nAnswer: 191476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Let v = 494747.2 - 494747. Let w be (2\/16)\/((-2)\/(-4)). Sort w, u, v in ascending order.\nAnswer: v, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -153 - 441669?\nAnswer: -441800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 5022.\nAnswer: 25110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -6*b. Suppose -7*p - 35 + 133 = b. Suppose 2*l + 10 = -j, -12*j + 17*j = 2*l - p. Which is bigger: j or -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + j. Let l be s(2). Let z(m) = 0*m - 3*m - l*m + 0*m. Let n(k) be the first derivative of 3*k**2\/2 - 36. Calculate n(z(d)).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 69 + (-25 - -2) - 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(70\/(-85)))\/(164\/(-6027)*-21)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112336.\nAnswer: 2, 7, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1589 and 5.\nAnswer: 7945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 232031935 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -8. Let o(b) = -11*b**3 - 15*b**2 - 4*b. Suppose p + 0 = 10. Suppose -5*d - 30 = -p*d. Let a(r) = 5*r**3 + 7*r**2 + 2*r. What is d*o(y) + z*a(y)?\nAnswer: -y**3 + y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458.7 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -20*j**2. Let a(h) = -24*h + 1. Give f(a(t)).\nAnswer: -11520*t**2 + 960*t - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 7*q + 309. Let o = q - -76. Differentiate -o + 0*h - 2*h - 11*h + 0*h wrt h.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**3 + 5*t**2 + 3*t. Let w(k) = -k**3 - k**2 - k. Let d = -8 + 7. Let o(u) = d*c(u) - 5*w(u). What is the second derivative of o(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900061.\nAnswer: 900061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - h - 1089, 0 = -5*h + 14 - 19. Is 34 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 3:54 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -11. Suppose q = -2*q + s. Suppose -y - 2 = -2*v, 5*y = -q*v + 14 + 12. Solve 5 = -y*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*s**4 + 32?\nAnswer: 124*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -42.1. Let n = g - 0.1. What is the closest to 0.2 in n, 0.1, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39e + -13b?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 1\/49?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 832932227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {k: 3, y: 1, z: 2, d: 1, h: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7994, 32151, 72460, 128921, 201534?\n\"Answer: 8076*s**2 - 71*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1*sqrt(171) + sqrt(171) + sqrt(171))*-5*-1)**2 - (-3 + sqrt(171) + 1 - (sqrt(171) - 1*sqrt(171))*6)**2) + 1.\nAnswer: 12*sqrt(19) + 38301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 - 4. Let r = -97.6 - -98. Which is the closest to -1\/3? (a) r (b) 1.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 87827282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**3 + 304987*n**2 + 10*n**3 + 304981*n**2 - 609968*n**2.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393*k - 20053 - 88697 = -399*k. List the prime factors of k.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/79, 2, -5 in increasing order.\nAnswer: -5, -2\/79, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4099.\nAnswer: 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 8. Let s = -4 + i. Determine p so that -2\/3 - 2\/3*p**3 + 2\/3*p**s + 2\/3*p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -423498*o**2 - 3*o + 449305?\nAnswer: -846996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*v - 3*d - 2, -17 = -2*v - 5*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 10:27 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let n = -3 + u. Let r be 0 - (3 - (-10)\/(-3)). Which is the second smallest value? (a) n (b) -3\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 32761405.\nAnswer: -2\/32761405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -178*i - 507. Calculate the remainder when r(-7) is divided by 221.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-435)\/(-21) + 6\/21. Let a = -1 - -4. Calculate the greatest common factor of g and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/2)\/(110\/153120).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 0.3 (c) -13 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3408941 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 + -15 + (-10)\/(-12). Which is bigger: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 748\/102*((-1)\/12)\/(8\/(-3)). Is n >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 1\/8344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 113?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**2. Let q(n) = -8 + 78 - 70 + 154*n. Give p(q(g)).\nAnswer: -142296*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 603289, 1206606, 1809921, 2413234, 3016545?\nAnswer: 3619854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from hkm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89753617.\nAnswer: 89753617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = x - 3*y + 19, 5*x = 5*y - 35 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**8\/70560 + t**5\/15 + 3*t**2. Let b(w) be the third derivative of c(w). Suppose b(j) = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -5*l**7\/168 - 11*l**6\/48 - 47*l**5\/80 - 11*l**4\/24 - l**3\/6 + 1141*l**2. Factor y(m).\nAnswer: -(m + 2)**2*(5*m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = -7*j + 168 - 18 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143104 is divided by 35699.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + q - 4. Let k(n) = -2*n**2 + 2*n - 13. Give -8*g(w) + 3*k(w).\nAnswer: 2*w**2 - 2*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 61066 = 4*g, 5*g - 2685 = -p + 9503. Is p a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -12.1. Sort 0.3, -1, j in increasing order.\nAnswer: -1, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*-1 + sqrt(360)\/sqrt(8).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 403717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 620 and 19?\nAnswer: 11780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 789 and 43551?\nAnswer: 11453913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66964 - 31073. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 2 - 70. Suppose 3*h + x + 2 = 5*i, 0 = -2*h + 10. Solve -3*m + 0*m = 0, 0 = -i*z - m + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3751 is divided by 2569.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.08, -15297?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5042700?\nAnswer: 2, 3, 5, 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 122*v**2 - 1465*v - 284. Give o(-133).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4347.985 weeks to microseconds.\nAnswer: 2629661328000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**3 + 6 - 6 + 83*m**2 + m**3.\nAnswer: 14*m**3 + 83*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 461*c**2 + 685*c + 458.\nAnswer: (c - 229)*(c - 2)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*0 + 3. Suppose -l*p + p = -1042. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269076?\nAnswer: 2, 3, 17, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 7. Let q(h) = -h + 1. Let o(r) = 6*r**2 + 5 + 0*r**2 + 5*r - 7*r**2. Let i be o(5). Give i*q(w) + y(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-338)\/(-12)*(20848\/416 + -50)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132*b**3*p**2 - 3196*b**3*p - 12*b**2*p - 219*b**2 - 8470*b*p**2 wrt p.\nAnswer: 264*b**3 - 16940*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/(-14)*16\/24. Find the common denominator of 25\/252 and ((-1112)\/(-192))\/((-6)\/8 - q).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**4 + 8*x**2 - 5*x - 5. Let y(v) = 5*v**4 - 7*v**2 + 4*v + 4. Let d(g) = 4*b(g) + 5*y(g). Find the third derivative of d(k) wrt k.\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 * -46.5.\nAnswer: -1906.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 14. Let h = -3 + w. Suppose h = -2*p - 0*p. Let c(b) = -b**2 - 3*b - 3. What is c(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99184025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1517 and 20236780?\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*q = -183*q + 49496. What are the prime factors of q?\nAnswer: 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 0 - d**2 + 0 - 5*d + 5. Suppose 0 = 3*p + 2*f + 5, 9 = -3*p + 2*f - 16. What is r(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/41074540 and -25\/1983.\nAnswer: 123223620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddndtdvbd. What is prob of picking 1 d and 1 b?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*3*sqrt(70)\/sqrt(5))\/(sqrt(12)\/(sqrt(36)\/sqrt(6))*4).\nAnswer: -45*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from khkkkkkkkkkkkkk?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*f**4*r - 7*f**3*r - 72*f**2*r - f**2 - 2*f wrt f?\nAnswer: 2280*f*r - 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 9, b: 1, a: 2}. What is prob of picking 1 v and 1 j?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) - -2*sqrt(220))\/((sqrt(5) + sqrt(10)\/sqrt(2))*5 - sqrt(5)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2 + 29*m + 112. Let o be d(10). Put -1, 8, o, -3 in decreasing order.\nAnswer: 8, o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**2 + 3*a + 23. Suppose -3*d - 4 = -2*d. Calculate p(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-3 - -1 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231030 - 11?\nAnswer: 231013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/43 (b) 78 (c) -1609 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2762740, 2, -11 in descending order.\nAnswer: 2762740, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1154 - 23161\/20. Calculate the common denominator of p and -143\/138.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.7017 + 36.7. Let b = u + 53.9017. What is b rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1808*b = 1870*b + 496 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 + 63.868. Let l = 0.032 + c. Let h be 26\/(-21) - 2\/(-3). Sort 0.1, l, h, 2\/5 in increasing order.\nAnswer: h, l, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*(8 + (-136)\/18). Sort 25, 1, -3, x, 2 in descending order.\nAnswer: 25, x, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/3, -39, -1, 0.1 in descending order.\nAnswer: 2\/3, 0.1, -0.2, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/274507 and 20\/831?\nAnswer: 823521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -729 + 773. Calculate the least common multiple of c and 38.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 6743 = -5*a + 12861, 0 = -3*a + 3*r + 11766. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y + 78784*y**3 + 15*y.\nAnswer: 78784*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (5 + 9 + -27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 44. Let p be ((-1)\/h)\/(18\/54). Suppose -2 = -f + 5*n + 5, 0 = -f - n - 5. Which is the biggest value? (a) p (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - 0. Let g = -8 + 8.1. Which is the second smallest value? (a) g (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002101002 (base 3) to base 13.\nAnswer: 9992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**5 - 676724*d**4 + 29*d**3 + 4*d**2 - 48*d - 65 wrt d.\nAnswer: -120*d**2 - 16241376*d + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 181*h**3 + h - 1. Let a be t(1). Let v = a - 41. Let m = v - 91. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k**(-1\/16)))**(-1\/7))**1 assuming k is positive.\nAnswer: k**(15\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*h - 2*g, 3*g - 7*g - 25 = -5 + 32 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(0 - -1) - -5. Suppose -f*z + 4 + 2 = 0. Let x(l) = -2*l - 2*l + z*l. Let v(r) = -2*r. Give x(v(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7201678717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -401 + 303864?\nAnswer: 303463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -39010 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3*x - 3)*(3 + 4 - 1) + 1 - 1 + 4*x)*(-4 + 5 - 2) as m*x + d and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (((sqrt(121) - 3*sqrt(121))*-5 - sqrt(121) - sqrt(121)) + sqrt(121) - sqrt(121)))\/(sqrt(396)*-2) + 3.\nAnswer: 7*sqrt(11)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(832)*-1*2)**2 + -5.\nAnswer: 29947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -12*y + 43. Determine o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 58\/11?\nAnswer: 58\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g**2 + g + 1. Calculate t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 1.21 (c) -0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 14. Let h be w(13). Let z be (-4 - h)\/(-2 + 1). Suppose 2*l = z*n + 131, 0 = -3*l - 4*n + n + 204. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**2 - 553665*f + 17712160 = 0.\nAnswer: 32, 110701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 h, and 2 e when four letters picked without replacement from {x: 5, h: 1, e: 7, b: 2, l: 1}.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than 632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ait when three letters picked without replacement from {j: 3, a: 4, t: 1, i: 1, p: 10}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-4 - -5)\/(9\/(-1131)). Let d = q - 121. Let l be (-1)\/4 + (-4)\/(-16). Which is the nearest to -7\/2? (a) d (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-55))\/(2\/5)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 31. Suppose 4*c - 10 = a*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -35*h**4 - 5*h**3 + 45*h**2 - 25*h - 40. Let g = -120 + 119. Let k(l) = -l**4 + l**2 - l - 1. Let a(c) = g*r(c) + 30*k(c). Factor a(o).\nAnswer: 5*(o - 1)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 90, 127, 200, 321?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 + 7*n**2 + 6*n + 4. Let t(u) = -13*u**3 - 28*u**2 - 23*u - 15. Let j(h) = 9*m(h) + 2*t(h). Is j(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4257501.\nAnswer: 3, 19, 113, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.231 + -0.031. Do 5.9 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) + 740\/16. Suppose l = -2*b - 3*l + 122, b + 5*l = d. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i + 12. Let l(u) = -u + 2. Let q(f) = -5*l(f) + w(f). Differentiate q(o) with respect to o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 20224, 5 in ascending order.\nAnswer: 5, 8, 20224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 527619 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 2*s. Let o(b) = 3*b**2 - 40*b - 55. Let j(f) = -o(f) - 2*x(f). What is the units digit of j(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 7*x + 9. Let g be t(-6). Let o = 0 + g. Suppose 265*d - 268*d = -15. Solve q = -d*n - 3, -2*n - n = -q - o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-2))\/(2\/(-1)). Solve -2*d - 3 - 7 = u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7443655 a multiple of 1785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 10.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 454\nAnswer: -3\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - ((-3)\/3 - -5). Let h be (-33)\/p - (-16)\/64. What is the units digit of (-2)\/(-4) + (-68)\/h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + h + 4. Let p be u(0). Suppose 3 + 0 = -3*z, p*l + 2*z - 6 = 0. Solve -s + 1 = g + l, 2*s + 5*g = -14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9085378.\nAnswer: 2, 17, 267217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -284*i**3*v**2 - i*v**2 - 2*v**2 + 31*v + 113 wrt i?\nAnswer: -852*i**2*v**2 - v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(2\/9)\/n)*n**(-5)\/n)**(-1\/8)\/((n**(-5)*n)\/n**(1\/4))**(-13\/3) assuming n is positive.\nAnswer: n**(-161\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 1223 = 1219, -4*h - 2*d - 6 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 + 30\/(-5) + 30 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.26, -0.448 in ascending order.\nAnswer: -0.448, -0.26, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 52. Let s be 28 - (-3)\/(54\/(-4))*(28 - 19). Give z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1652 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 81*f**2 + 226*f + 58. What are the prime factors of s(-85)?\nAnswer: 2, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523 (base 10) in base 5?\nAnswer: 40043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -12, -34, -64, -102, -148, -202?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o + 3*o - 7*o + 3 + 5*o.\nAnswer: -18*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-18)\/2331*(-21)\/21?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1217*h - 2*h**2 + 19*h**2 + 1217*h.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -301*k - 4810. Let a be w(-16). What is the highest common divisor of a and 1354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7984?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.5, -0.4, 2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 1 + 0*i + 1\/2*i**2 - 11\/3*i**3. What is the second derivative of a(u) wrt u?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127034701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1234396975?\nAnswer: 5, 7, 143953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c = -235. Suppose -2*q = -63 - c. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 2*p**2 + 2*p + (-1 + 2 + 1)*(3*p + p**2 - 3*p) + 0*p**2 + 4*p**2 - 2*p**2 - 12*p + 12*p + 5*p**2.\nAnswer: 11*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/46 or 0?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 567 - 567.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9260 and 133140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 1:33 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2 + 74 - 28 - 15 + 5 - 4 + 1 + (3 - 2 + 0)*(-2 + 2 + 1) - 1 - 3 + 2)*(-47*j**4 + 48*j**4 - 75*j**4).\nAnswer: -2220*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 96489 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.34651 decades to years.\nAnswer: 933.4651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = -4*j + 3, -15 = 4*j + 5*s. Is -179*((j - -2) + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/27*(-3)\/2. Let z be 12\/(-40)*20\/8. Which is the third biggest value? (a) k (b) -1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -7*g**3\/3 + 1. Let o(f) be the first derivative of -3*f**2\/2 + 1449. Calculate o(h(k)).\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 6*r - 8. Let m(a) = -a**2 - 7*a - 8. Let l(u) = -7*f(u) + 6*m(u). Determine l(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**7\/280 + w**6\/180 + w**5\/30 + w**4\/12 - 106*w**3\/3 - 139*w**2. Let a(m) be the first derivative of u(m). Determine a(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 8*q**2 - 2*q - 3. Calculate the remainder when h(9) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -225, 42, 1, -26 in increasing order.\nAnswer: -225, -26, -5, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2630 is divided by 437.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1021 = -35*q + 36*q, -4*n = 5*q - 2045. What is the highest common divisor of n and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/27 and -125\/67938?\nAnswer: 611442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 16 = -5*r. Let m(y) = 2*y + 1. Let x(v) = v. What is r*x(t) + 3*m(t)?\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 492188*n + 229857 wrt n?\nAnswer: 492188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + (-9 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1192*j**4 - 13*j - 1 wrt j?\nAnswer: 14304*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -11. Suppose -4*o - a = -8*o. Solve o*q + 9 = -6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436418.\nAnswer: 2, 31, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/275 and 127\/300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4419 - 4415. Solve 2*u - 3*b + 3 = -t, 4 = 4*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**3 - 2*c + 3. Let f be -2 + ((-6)\/(-3) - 2). Let w(u) be the first derivative of -4*u**4 + 9*u**2\/2 - 13*u - 372. What is f*w(z) - 9*p(z)?\nAnswer: -4*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1195 and 1380.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328581 + 439696 = 3*q + k, 2*q - 4*k - 512194 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4763776, -4763777, -4763778?\nAnswer: -4763779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0 + 2\/7*t**3 + 16\/21*t**4 + 5\/42*t**6 + 0*t**2 - 11*t + 19\/28*t**5. Find a such that j(a) = 0.\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w - 16 + 122 = 0. Let t be 4\/(-14) + 115\/35. Suppose 2*f - 14 = -t*i + 3, 0 = f - i + 4. Calculate the highest common divisor of f and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {k: 4, x: 1, g: 1, h: 5, a: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 75283*z + 16. Let g be t(13). Let b = g + -668695. Round b to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 8*k - 12. Let c be i(5). Solve c*h = 4*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-11 + 45 + -14 + -7 - (99 - 7)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/208 - -823\/624. What is the closest to -2\/9 in i, -0.8, 30\/13?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 34*g - 65*g**3 + 1 - 2 + 32*g. What are the prime factors of q(-1)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4\/8 - 3*l**3\/2 - 21*l**2\/8 - 5*l\/4 = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Let s be 1\/(-3)*-3*d. Solve -3*x - 5 = 2*f - 2*x, s*f - 4*x = -32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*m**2*p**2 + m**2*p - 20*m**2 + 7*m*p**4 - 2*m*p**3 + 2*p wrt p.\nAnswer: 104*m**2 + 84*m*p**2 - 12*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/9165 and -61\/4277?\nAnswer: 64155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4 + 36*k**3 + 110*k**2 - 36*k - 112 = 0?\nAnswer: -14, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -290, -289, -288, -287?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 2. Let m be j(-1). Let k be (m - 4) + (-43)\/(-1). Let w = -22 + k. Calculate the remainder when 69 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 271, 582, 987, 1468, 2007, 2586?\nAnswer: 3187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5019*i**3 + 4994*i**3 + 5163*i**3 - 21041*i**3 + 5095*i**3.\nAnswer: -770*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 11*p**2 - 13*p - 2. Let t be a(-7). Suppose -4*x = 253 - t. Solve 5*b = 12 + x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = m - 355, -m - 5*l = -3*l - 350. Suppose -4*i - 5*t = -m + 77, 246 = 3*i - 3*t. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*c**2\/7 + 124716*c\/7 - 49888\/7 = 0. Calculate c.\nAnswer: -12472, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a**2 - 5*a**3 + 96*a**2 - 50*a**2.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 9. Suppose -5*z = r - 28, 2*r - 4*z + z + c = 0. Let j be 3\/18*r*12. Let d(l) = -l + 3. Let t(w) = w - 2. Give j*t(o) + 4*d(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -10*g**3 + 12156*g**2 - 625598*g - 9645588 = 0.\nAnswer: -62\/5, 67, 1161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(6*j - 3*j - 4*j) - 164478*j + 164497*j + 2 + 0.\nAnswer: 21*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 773 divided by 99\nAnswer: 773\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104392 is divided by 17398.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6*i + 354 = 0. Suppose -348 = -7*s + i. What is the highest common factor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*m**5 - 2*m**4 + 96*m**3 - 39297*m wrt m.\nAnswer: 1120*m**3 - 24*m**2 + 576*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 71*r**2 - 3. Let d(k) = 2773*k**2 - 118. Let a(i) = 3*d(i) - 118*x(i). Let p(w) = -3*w. Give a(p(z)).\nAnswer: -531*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.33 and 75.6472297.\nAnswer: 80.9772297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82.48 - 83. Let c = t - -0.5200001. Round c to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + 0 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/34 - ((-4110)\/(-255) + -16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -104?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/9*(-6)\/(-4). Calculate the common denominator of (-4)\/o - 661\/(-14) and 2\/7 - 63\/(-980).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = 3*y - 7*y. Suppose 33 = -4*t + y. Let u be 138\/t + 2\/5. Solve 0 = k + 3*z - 13, -u*k - z - 2 = 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41493 or -41478?\nAnswer: -41493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444946?\nAnswer: 2, 661, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1, -2\/9, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-4 - (1 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + a + 1. Let i(y) be the third derivative of y**5\/10 - y**4\/24 - 5*y**3\/6 + 13*y**2. Determine -5*g(v) - i(v).\nAnswer: -v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 135882*z - 127859.\nAnswer: 135882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48086 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.111 rounded to one dp?\nAnswer: 12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/2 - -1) + 1. Differentiate -i*o**3 - o**3 + 3 + o**3 - 2 with respect to o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g\/(g*g*g**(-1\/4)*g))\/g)**15)**(26\/9)\/((g\/(g*g**(4\/7)*g))\/(g*g**(-6)*g*g)*g\/((g\/g**(1\/6))\/g)*g\/((g\/(g*g**(4\/3)*g))\/g)) assuming g is positive.\nAnswer: g**(-276\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2 + z - 1. Let l be m(1). Let o(i) = -i**3 - 3*i**2 + 25*i - 25. Let b be o(-7). Sort l, 2, b in descending order.\nAnswer: 2, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396612804 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 2.487.\nAnswer: -0.14922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*o + 20447 = -26828 + 7963 for o.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 4*o + 20 = 0, -f - 4*o + 12 = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 866 and 2860831?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6762 divided by -6.\nAnswer: -1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 4 - 9 - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + -10 + (729 - 720).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9960 and 36451110?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/970208 or 0?\nAnswer: -1\/970208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009092924028 rounded to 5 decimal places?\nAnswer: -0.00909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1170 + 1196.8. What is m rounded to zero decimal places?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1132625 and -0.079549?\nAnswer: 0.0337135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {d: 3, l: 5, y: 2, j: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 3\/4, 4, 2, 3223, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4*q - 16, 2*s - 5*q = -s + 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 1:30 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 5*m - 117 - 38, -2*m + 176 = 5*r. What is the highest common divisor of r and 544?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 10828 (c) 5 (d) 0.1 (e) -3\/4 (f) -4 (g) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k + 2*v - 8 = 0, -4*v + 12 = 5*k. Let r be k\/(-20) + (-12)\/15. Which is bigger: -3\/20 or r?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 + 416554*v + 208278 = 0 for v.\nAnswer: -1\/2, 104139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -10*r + 462. What is the remainder when 62 is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 4*b - 125. Is 20 a factor of b\/(0 + 3\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 0.5, 1.4, 0.3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - 38*r - 43*r + 134*r - 46*r to the form d + g*r and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14.38519 and 0?\nAnswer: 14.38519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**3*p**3 + 11260*i**3*p**2 + 52943061*i**2*p**3 + 21*i**2*p**2 + 6*i**2 - 2*i*p**2 + 3*i*p wrt p.\nAnswer: -12*i**3 + 317658366*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93413\/5 + 18619. Let z = 10474\/165 + a. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**4 + 0*j**4 + 3*j**4)*(-1 + 0 + 411*j - 376*j).\nAnswer: -70*j**5 + 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5580)\/248*12\/(-2). Calculate the greatest common divisor of 180 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 2*s**2 - 2*s + 1. Let u be j(-2). Solve u*d + 16 = -3*w, -4*w - 3*d - 2 = 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 94249400, 188498801, 282748202, 376997603, 471247004?\n\"Answer: 94249401*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -3 in descending order.\nAnswer: 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20538 + 369791\/18. Let f = -5629\/6660 - -22\/555. What is the common denominator of f and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m\/((m**(-7)*m)\/m)*m)\/(m\/(m\/m**(1\/5)))**6)\/(m**(-2\/3)\/m**1*m*(m*m**(-2\/9)*m)\/m*m*m*m**(1\/3)) assuming m is positive.\nAnswer: m**(196\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 30. Let m be b(-16). Suppose -63 = -m*r + 119. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 176610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36033, 147870, 335509, 598950?\nAnswer: 938193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*j + 6*j - 21*j.\nAnswer: -87*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/454 and 11\/133.\nAnswer: 60382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2\/5 - 1118*r\/5 - 274456\/5 = 0.\nAnswer: -754, -364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000087346 rounded to 7 decimal places?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5))**(4\/11)\/(r\/((r\/r**0)\/r))**21 assuming r is positive.\nAnswer: r**(-1147\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 4 = -4*p + m, 4*p - 5*m - 9 = 0. Find r, given that 3*r**2 + 437 - p*r**2 - 467 + 21*r = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q**2 - 5. Let g(c) = 20*c**2 + c + 12. What is 2*g(o) + 5*k(o)?\nAnswer: -5*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x - 676 = 42*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 - -76. Solve -10*o - d = -7*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-109914)\/(-36))\/(0 - -11013). Let x = -2\/3671 - g. What is the common denominator of (11 + (-35)\/3)*147\/16 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 9:19 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069 take away -0.5?\nAnswer: 0.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02881 - -0.32881. Which is the fourth smallest value? (a) x (b) -23.4 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 8 = 7*c. Factor -c*l + 4*l**4 + 4*l + 4*l**4 - 2*l**3 - 2*l**2 - 6*l**4.\nAnswer: 2*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3693 is divided by 203?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 3*k + 1. Suppose 206 = 2*x + 204. Suppose 4*q - q + 24 = -5*w, 3*w - q = -6. Let j(l) = 9*l + 6*l - l**2 - 16*l. What is w*j(t) + x*o(t)?\nAnswer: t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6412*s**2 - 5*s**3 - 2137*s**2 - 2133*s**2 - 2131*s**2 + 3*s**3.\nAnswer: -2*s**3 + 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2 - 6) + 9 + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -364 + 382 - (2 - 10)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (950\/25)\/(-456)*(159\/68 - 0) and 89\/160.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1287534377?\nAnswer: 31, 67, 71, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/54*203796\/(-6660).\nAnswer: 85\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9*2\/3 - ((-4)\/4 + -1621) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3587 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: Divide 30816 by 15408.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**4\/3 + p**3\/2 - 5*p**2\/2 + 12*p. Let s(r) = -11*r**2 - 9*r + 14. Determine -8*k(g) - 3*s(g).\nAnswer: g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 13, c: 3}. Give prob of sequence cvv.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*h = 0, 0 = -2*p - 2*p + 4*h - 32. Let a = -2 - -5. Let q be 2\/(-1 + a)*-3. Sort q, 4, p in decreasing order.\nAnswer: 4, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 704 and 940800?\nAnswer: 10348800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3*l**2 + 6)*(-5 + 1 + 1) + 0*l + 0*l + 2*l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/3 = -0.0013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {z: 10, f: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 10 - -28 - (7 - 2)) + 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -933 in descending order.\nAnswer: -4, -5, -933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {j: 8, y: 2, g: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 13*k - 393. Determine i(26).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/3457 + 31129\/13828. Let l = 394939\/22 - 17955. Find the common denominator of b and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 2. Let o be l(-3). Let k be 3\/(-4) - 903\/(-1260). Let b = k - -3\/40. Sort o, 1\/8, b in ascending order.\nAnswer: b, 1\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 970890 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 9662*r - 1445478. What is t(152)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -2, 2, 13, -11 in descending order.\nAnswer: 13, 2, -2, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*i - 0*i + 9, 9 = 2*i + 3*w. Suppose i = -n + 6*n - 420. Calculate the common denominator of (n\/144)\/((-6)\/(-76)) and -67\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:46 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, j: 4}. Give prob of sequence nj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**6 - 42793*w**5 + w**3 + 15*w**2 + 20476*w.\nAnswer: -240*w**3 - 2567580*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 49, 59, 55, 31, -19, -101?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704014.5s to nanoseconds.\nAnswer: 704014500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a century in months?\nAnswer: 46200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.89 - 7. Let f = u - -0.21. Put -0.2, f, -2\/15 in decreasing order.\nAnswer: f, -2\/15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 8*h - 7. Let w be t(-6). Suppose -2 = -2*v, 2*k + 45 = w*k + 3*v. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 60*o**4 - 266*o**3 + 311*o**2 - 60*o - 11. Let p(z) = -12*z**4 + 53*z**3 - 62*z**2 + 12*z + 2. Let q(u) = -2*d(u) - 11*p(u). Factor q(w).\nAnswer: 3*w*(w - 2)**2*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7037100 * -4.7\nAnswer: -33074370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**2 + 6 - 8*o**2 - o**2 + 0*o**2 wrt o?\nAnswer: -16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*f - 33 + 93, 0 = 5*m + 5*f - 180. Let b = -24 + m. Calculate the remainder when 47 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-12) - 10\/6. Let b(n) = 16*n**3 - 5*n - 12. Let v(h) = -h**3 + h - 1. Let z(f) = l*b(f) - 5*v(f). Find the first derivative of z(x) wrt x.\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (1\/2 + (-19)\/(-38)). Let h be (-8)\/s + 1110\/(0 - -2). Round h to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*w = -173*w - 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*b = 20, -34 = -5*t + b - 4. Suppose -t*w + 27 = 7. Solve -w*q = 6 + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j. Let l(c) = 1606*c**2. What is l(o(z))?\nAnswer: 40150*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176 - 188. Let a(p) = p**2 + 10*p - 19. What is the remainder when a(n) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Let s be (-8)\/(-3) - w\/3. Let j(a) = 0*a**2 - 2*a**2 - a + 2*a**3 + 2*a**s. Give j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Let y = -1 + p. Which is the third biggest value? (a) 5 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 5*i. Let s(a) = -9*a**2 + 24*a. Let t(f) = -24*r(f) - 5*s(f). Let b(v) = -v**2. Calculate b(t(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = o. Let l be (-3 + -1)*6\/8. Let c = -14 - -9. Sort l, c, o in increasing order.\nAnswer: c, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.06, 0.033, -0.3.\nAnswer: -1, -0.3, -0.06, 0.033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24176811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299600507.\nAnswer: 23, 37, 352057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 2 (c) -0.01 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**2 + 4*m - 2*m - 4*m + 4*m**2. Let p be h(-3). Let x(n) = n + 14. Let y be x(p). Calculate the greatest common factor of y and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6742312807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (6 - 15) - -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2*b**2 + 1\/2*b**4 - 7*b**3 + 28*b.\nAnswer: b*(b - 14)*(b - 2)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/18 - (-13400)\/450. Solve j = f + 31 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1219 + -944. Calculate the greatest common factor of 55 and d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-126)*9\/12.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 61*q + 382. What is w(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -11 + 4 - (6\/(-7))\/(11\/110341) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 7*y**2 + 2*y + 6. Let j be d(-7). Let c = j - -13. Solve 3*b + 3*z + 25 = -2*b, b + c = 2*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -31904 = -31903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -11*h**5\/5 + 4*h**2 + 6. Find the second derivative of i(m) wrt m.\nAnswer: -132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 6, j: 3, e: 1, p: 1}. Give prob of sequence pj.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 6*l - 4. Suppose -14 = 2*n - 5*n + 2*a, -3*n + a + 13 = 0. Let f be v(n). Solve 3 + 1 = -4*h - f*b, 2*b + 17 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 375*d**6 + d**5 - 2*d**4 + d**2 + 200*d + 7 wrt d?\nAnswer: 45000*d**3 + 60*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45809*m**2*n - 34*m**2 + 9801693*m*n wrt m.\nAnswer: 91618*n - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 195099734*z**5 + 132028*z**2 + 326 wrt z?\nAnswer: 11705984040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-264*j**2 + 33915 - 33915)*(4*j + 7 - 7).\nAnswer: -1056*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*r + 8. Suppose 22 = 2*x - 0*c - 4*c, 3*x + 11 = -5*c. What is the second derivative of x*k**r - 19*k**4 - 3*k**3 + 6*k + 3*k**3 wrt k?\nAnswer: -192*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5711 is divided by 204?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -343255 + -1?\nAnswer: -343256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19013, 37659, 56305?\nAnswer: 74951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + sqrt(20)\/sqrt(4))**2 + -2*((sqrt(10)\/sqrt(2))**2 + sqrt(5)).\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fafwwfpfwfppjpawzff. Give prob of picking 2 p.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) - (-388)\/(-6). Let t be (2\/(-1 + 2))\/((-16)\/v). Solve -t = -4*c + 2*z, -c + 5*z - 1 = -3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19 (b) 27 (c) 0.5 (d) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 21744*f. Let t(u) = 10*u + 1. Calculate o(t(y)).\nAnswer: 217440*y + 21744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = -5*s, 0 - 8 = -k - 2*s. Suppose k = -h + 22 + 8. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v**3 - 19*v**2 - 8*v - 13. Let b(m) = 4*m**3 + 9*m**2 + 4*m + 6. Give -13*b(g) - 6*s(g).\nAnswer: 2*g**3 - 3*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 2, l: 4, a: 1}. What is prob of picking 1 a and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(3\/(-9))\/(16\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/20? (a) -7 (b) 2\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3 - 18*q)*(2 - 3 + 2).\nAnswer: -18*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrxcrrcrrccxcxp. What is prob of sequence xr?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7875 and 217125?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzeihhhivtti. What is prob of picking 1 v and 1 e?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*b + 1)*(b**3 - 2*b**3 + 3*b**3)*(354 - 354 + 51*b).\nAnswer: -204*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 126450541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 274800 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 208686, 208688, 208690, 208692?\n\"Answer: 2*y + 208684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1424 - -1428. What is the second smallest value in -0.01, -0.4, 5, v?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(300) + sqrt(300) + 1 + sqrt(432) + 1 + sqrt(432))**2.\nAnswer: -11624 - 352*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-1) - (1 - 0)*-788 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 76510, 76511, 76512, 76513?\n\"Answer: n + 76509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (223*w + 466 - 466)*(1 - 1 + 2*w**2) + (1 - 1 - w**2)*(3*w + w - 6*w) - 2 - w**3 + 2 in the form s + y*w**3 + a*w**2 + b*w and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*a - 8, -r + 8*a = 4*a + 2. Suppose -2*u - 576 = 4*u. Is 12 a factor of (r\/8)\/((-6)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 greater than 2533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -968 - 3.1\nAnswer: -971.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 3:50 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -571.3579702 rounded to the nearest ten?\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/12)\/((-5)\/3). Let t be (-5)\/6 + 2 - 44\/88. Which is the nearest to 6? (a) s (b) t (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 5) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*r - 1996 + 6238 = 0 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 0.051, -3\/5, -3?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19760 - -217362\/11. Which is the biggest value? (a) -858 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.088633851\nAnswer: 0.088633851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17c6d - -6?\nAnswer: -17c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 16 + 9)*(-4*l**3 + 0*l**3 + 2*l**3).\nAnswer: -86*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2\/2 - 48501*q\/2 + 218376 = 0. What is q?\nAnswer: -16176, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6507 * -5504.\nAnswer: -35814528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 341*h + 170*h**2 + 886*h - 168*h**2 to the form x*h**2 + m*h + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32)\/40)\/(4\/(-610)). Let q = m - -107. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5784918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1185*q**3 + 22*q**2 - 1803*q - 716433072.\nAnswer: -3555*q**2 + 44*q - 1803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.59032 millennia to centuries.\nAnswer: 905.9032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 32 - 34 - 54 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 7449\nAnswer: -22347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-109915)\/87309 + (8\/(-18))\/(-2). Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2691 and 1495.\nAnswer: 13455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51, -37, -15, 15, 53?\n\"Answer: 4*u**2 + 2*u - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 19) + -5 - (1 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17132 + 17487. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 10*f**5 + 3524*f**4 - 828602*f**3 - 22872324*f**2 - 85674528*f - 30663360 = 0.\nAnswer: -507, -21, -4, -2\/5, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*b + 221 = -0*b, l + 3*b = 37. Calculate the remainder when l is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2139 + 8535 = 123*t. Calculate the lowest common multiple of 1872 and t.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5637551\/52 + 108410. Let j = p + 41\/78. What is the common denominator of j and 107\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 761162 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*v, 69*l = 35*l + 37*l + 4*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.3? (a) 2\/11 (b) 0.1 (c) -1 (d) 3\/8 (e) 13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s - 9. Let x(t) = 7*t - 6. Let b(q) = 5*m(q) - 8*x(q). Give b(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 7*t**2 - 10*t. Let r(s) = -s + 1. Let c(u) = l(u) - 3*r(u). What is the units digit of c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*z = 161*z. Solve 6*q - 7*q + 2 = z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/9 (b) 3 (c) 140 (d) -0.2 (e) -2 (f) -79\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 9) to base 12\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 143*w + 690.\nAnswer: (w - 138)*(w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.037 and -0.12.\nAnswer: -0.00444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 248 (base 13) to base 15\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.10608 - 0.04608. Do 118 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 5*u**3 - 589*u + 276*u + 271*u.\nAnswer: -u**3 - 42*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.1439895 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (532\/(-1710))\/(4\/36)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 7*s**2 - 10*s + 2. Let o be b(5). Suppose 0 = -o*z + 616 - 610. Solve 2*m = z*m + 5*g + 9, -5*m = -4*g + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.35 + 33. Let a = -0.15 + k. Let q = -1.4 + 0.4. Sort q, a, -3\/4.\nAnswer: q, -3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -189 + 203. Let b(n) = n + 6. Let q(t) = 2*t**2 - 2*t - 2. Let o be q(3). What is the least common multiple of b(o) and y?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1619\/1015 + -1\/203. Let u be 1\/4 + 50\/(-360). What is the third smallest value in 2, u, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 2*c + c + (3 + 2 - 3)*(4*c - 4*c - 2*c))*(3 + 0 - 2) + (-4 + 4 - 2*c)*(2 - 5 + 4).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 4*p + 28 = 0. Let i be (p - -2 - (2 + 3)) + 3. Solve 2 = c - i*o, -3*c = -2*c - 3*o - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(112))**2 + sqrt(28)).\nAnswer: 6*sqrt(7) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/15)*(s**(-3\/2)*s)\/s)\/(s**(-2\/3))**31 assuming s is positive.\nAnswer: s**(571\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -98, -150, -214, -296, -402, -538?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3364103580, -3364103581, -3364103582, -3364103583, -3364103584, -3364103585?\nAnswer: -3364103586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 76301*w**3 - 5*w**2 + 4*w. Let i be o(1). Round i to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + m + 303 = 0, 2*z - z + 5*m - 157 = 0. Let b = z - 44. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (80\/(-15))\/4*(-42)\/280*5. Which is the closest to 0.3? (a) -5.3 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3\/3 + 3439*z**2\/3 + 44354216*z\/3 + 25110063492 = 0?\nAnswer: -2866, 9171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 3*v)*(-v + 17 - 17).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13581 + 23?\nAnswer: 135a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 - 1 + 0 + 7*o**3 wrt o.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*2\/2)\/1. Let h = -1541249\/105 - -101034\/7. Let n = h - -245. Is n greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**5\/7 - 183103*a**4\/7 + 292953*a**3\/7 - 5231*a**2 - 73238*a\/7 = 0.\nAnswer: -2\/5, 0, 1, 36619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: a54a (base 14) to base 4\nAnswer: 12331012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22652 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 111*s + 12*s + 73*s + 250*s as l*s + h and give l.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19590259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-72)\/(-16) + 15\/14\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/1 + (-4312)\/(-2904)*33\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 8*k = -3*y - 5, 0 = 5*k + 3*y + 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 18*d**2 + 92*d - 335. Determine w(14).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15288 - 71?\nAnswer: 15217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695*x + 422*x - 889*x - 329*x.\nAnswer: -1491*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17100 and 13680?\nAnswer: 68400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -1\/7 (b) 15.72 (c) -3\/7 (d) 1313\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 1, u: 6, f: 3, v: 2}. Give prob of sequence qbff.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 758960588 + 1225539412. Suppose -o = 5*t + 2*t. Round t to the nearest 1000000.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1177, -928, -685, -448, -217, 8, 227?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 940*w**6 - 30*w**2 - 8*w wrt w?\nAnswer: 112800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(5 - 2*t - 5) + 3*t + 2 - 2 - t - 4 + 4 - 6 + 5*t + 6 + (-2*t + 3*t + 0*t)*(0 + 6 - 1).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 360013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 7*i - 25. What is b(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*m**2 - 2*m + 218 wrt m?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -17*b - 60. Let p be i(-4). Suppose 3*o - 2*w = p, 4*w = -6*o + 8*o - 8. Solve u - o = -7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236736 is divided by 206113.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - ((-31 - -25) + -36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3682327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 72*k + 328. Calculate l(-67).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*m**3 - 3073*m + 5934*m - 2861*m.\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.061794l in millilitres?\nAnswer: 9061.794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10399923 to the nearest integer?\nAnswer: 3225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (5 - 21) - 22?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1348 and 3708174.\nAnswer: 2499309276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 5. Let f be c(-7). Let z = -59 + 60.42. Let n = -1.42 + z. What is the second smallest value in f, n, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 2*l**2 + 214*l**3 - 571*l**3 + 4*l**2.\nAnswer: -357*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 122*i**2 - 4932*i - 860. What is c(-154)?\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -237 + 212.4. Let j = -60.2 - o. Let l = j + 41. Round l to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1891644 + 4\nAnswer: 1891648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1016466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -50110?\nAnswer: -50112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 25914\/1848 - 101694\/1496?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 8*a - 30. Let c(t) = 2*t - 4*t + a*t - 5*t. Let x(u) = u + 1. Let y(b) = 8*b**2 - 2*b - 2. Let m(s) = -10*x(s) - 5*y(s). Determine m(c(d)).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1005, 319, -166 in increasing order.\nAnswer: -166, 319, 1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 22, 65, 156, 313, 554, 897?\n\"Answer: 3*x**3 - 3*x**2 + x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - p)*(-22 - 12 - 36) to d*p + j and give d.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -185989335*m - 660557735.\nAnswer: -185989335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3016229, 6032485, 9048741, 12064997?\nAnswer: 15081253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02667195 to four dps.\nAnswer: -0.0267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 12 = 4*t - 4, -2*r = -2*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -4.7084021427278?\nAnswer: -4.9084021427278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - u + 17*u - 1.\nAnswer: 13*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 6:27 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 609088051?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32311635409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6321.379 centuries?\nAnswer: 7585654.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**4 - l**3 + l. Let n(p) = 7*p**4 + 5*p**3 - p. Let m(z) = n(z) + 5*r(z). Find the second derivative of m(s) wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - g - 4. Let h(b) = 3*b**2 - 2*b - 5. Let y(p) = -8*p - 156. Let c be y(-20). Calculate c*h(q) - 5*s(q).\nAnswer: 2*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.947 to one decimal place.\nAnswer: 13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -815.4 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -6. Let f(s) = s - 1. Let r(v) = 9. Let b(o) = -4*f(o) - r(o). Calculate the remainder when 36 is divided by b(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*a - 11. Suppose -c - a = -4*c + 2*m, 3*c + 4*m = -12. Suppose -p = 2*p - 12. Solve -5*x + p - 9 = c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.34. Let f = -76.6 + 77. What is the third biggest value in 2\/13, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58221 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from jmhjmqui.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159099, -318200, -477301, -636402?\nAnswer: -795503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*u - 162, 0*f = -3*f + 2*u + 139. Calculate the remainder when 51 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*z**3 - 48901*z - 48873*z - 48897*z + 146671*z.\nAnswer: 37*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1884, 3763, 5640, 7515, 9388?\nAnswer: 11259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 3*x - 10, -17 = -5*m - 0*m + 3*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10142245 divided by 2028449.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 6*p + 10. Let v be f(4). Factor -6*n**2 + 11*n**v + 8*n + 6*n + 16*n + 25.\nAnswer: 5*(n + 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**0)**(2\/11)\/(a**(-2\/3))**(3\/25)*a**(-2\/5)\/(a\/a**(2\/5))*a**(-7)*a*(a\/((a**(7\/4)\/a)\/a))\/a assuming a is positive.\nAnswer: a**(-7137\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - r = -15, 0 = -0*z - z + 3*r + 11. Suppose -34 + 14 = -5*w, 3*w - z = 2*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5753\/90 or -63?\nAnswer: -5753\/90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -18. Let m(t) = 22*t - 131. Let b be m(6). Let k be (b\/(-2))\/(-1 - (-28)\/24). Which is bigger: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 2*n = -553. Suppose n = h - 78. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 43 - 27\/4*p - 63\/16*p**2 - p**3 - 3\/32*p**4. Determine n so that f(n) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 2*c + 0*c)*(-1 + 0 - 1)*((0 + 0 - 2)*(5 - 2 - 5) + 5 - 1 - 3)*(-281 + 281 - 72*c**2).\nAnswer: 5040*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -121*t + 112*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/((-270)\/(-40)))\/(6\/(-45)*-1)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -34*v**2 + 755*v - 1. Let n(h) = -5*h. What is n(m(r))?\nAnswer: 170*r**2 - 3775*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y + 9 = -f, 8 = -2*f + 5*y. Let p(h) = 127*h**3 + 3*h**2 - 4*h + 2. What is the hundreds digit of p(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 423199972?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 + 0*a**4 - 3*a**5 - 2*a**4 + a**5 - 4*a**5 + 4*a**5 + (-2*a**3 - 4 + 4)*(2*a**2 + 0*a**2 - 4*a**2) + 80*a**2 + 23*a**5 - 80*a**2.\nAnswer: 26*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.65418264 rounded to 1 decimal place?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -58*u + 178 + 117. Solve -u*b = 13*g - 9*g - 30, -3*b - 14 = -4*g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.7 - 2675296607\nAnswer: -2675296601.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.083031*-10.5.\nAnswer: -11.3718255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)\/l*l)\/(l**(-7)\/l))**(-24) assuming l is positive.\nAnswer: l**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 16?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2880, 5763, 8650, 11541, 14436, 17335, 20238?\nAnswer: 23145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 z, and 1 t when three letters picked without replacement from {z: 3, v: 5, g: 1, t: 6}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 2*l**2 - 3*l - 2. Let g(a) = a + 13. Let k = -15 + 5. Let p be g(k). Let w be z(p). Solve 5*b + w = -0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 5*l**2 + 44*l**2)*(-70*l + 37*l - 41*l).\nAnswer: -2812*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172964?\nAnswer: 2, 11, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(4 - 21\/6). What is the second derivative of -13*u - d*u - 7*u**4 + 8*u wrt u?\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*w. Suppose m - 5*j = -w*j - 15, -9 = -3*j. Solve n = -2*k - 1, -n + m = 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -598, 116, 1350, 3140, 5522, 8532, 12206?\nAnswer: 16580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10*(-10)\/(-1). Let o be (-43)\/(-9) - u\/(-18). Suppose 0 = 3*a - 0*z + 2*z + o, 0 = -a + 3*z + 13. Solve a = 3*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(sqrt(7)*1 + -3)*-5*-6)**2.\nAnswer: -86400*sqrt(7) + 230400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15033 - -15036. Solve 0 = 26*k + u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12654*x**3 + 86921*x**3 + 41140*x**3.\nAnswer: 140715*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 4 (c) -1 (d) 408\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -122352.4 plus 7?\nAnswer: -122345.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, u: 12}. Give prob of picking 2 p and 1 u.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -7*k + 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 18390*f + 73634. Give r(-4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 0.6. Let q = 1 + n. Put q, -2\/3, 2 in increasing order.\nAnswer: -2\/3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x + 39*x - 109*x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 - 6198*w**3 + 7112*w**3 - 5 + 8 + 12 - 6*w wrt w?\nAnswer: 5484*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30994186843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*h - h + h.\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - 4 - 3 - (-2 + -2). Factor 3*n**4 - 2*n**3 - n**3 - 6*n**b.\nAnswer: 3*n**3*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/3 + -4. Which is the closest to s? (a) 4 (b) 0 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7336\/126 + (-2)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-39594)\/(-8))\/((45\/(-36))\/(-5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 79*r**2 + 141*r - 810. Calculate the remainder when z(6) is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5 - 4190*q**4\/7 + 41952*q**3\/7 - 23176*q**2\/7 - 287008*q\/7 - 79104\/7 = 0. What is q?\nAnswer: -309, -2, -2\/7, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 362947631.7 and -0.1.\nAnswer: 362947631.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*h + 148 = 0, 0 = 4*g + 4*h - 172 + 28. Let x = 8 - 5. Suppose 0 = c - x*c + 34. Calculate the remainder when g is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14*w + 9 = -9*w, 4*j + 4*w - 20 = 0. What is the closest to j in 1, 2\/5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 393*r - 407*r + 1568. What is the highest common factor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 870*g + 867.\nAnswer: 3*(g - 289)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 + 5*i**3 - 7*i**2 + 3*i = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -701*v + 432*v + 376*v to the form w + r*v and give r.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 2\/213, 4, -4?\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3 + 11*g**2 - g**3 - 6*g - 3*g + 3 - 6. Calculate the least common multiple of x(10) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) 137 (c) -2\/9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1294588082 - 1294588082 - l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 80\/15 - 4\/72*6. Solve 0 = -17*b + 21*b + 3*q - 19, -5*q + 30 = m*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -47409?\nAnswer: -5\/47409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 45. Let u(f) = -2*f**3 + f + 1. Calculate the lowest common multiple of u(-1) and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -2 (b) 5 (c) -3 (d) -8 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) + 640676659\/10230. Let u = 62628 - q. What is the common denominator of -109\/100 and u?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17200\/1376*(-16)\/60*2\/30.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x + 2034. Let t(z) = -z - 32. What is t(n) - y(n)?\nAnswer: 2*n - 2066","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**(-6)))\/(i**(2\/15)*i)*i**3\/i**(-3))**(-5\/9))**(27\/5) assuming i is positive.\nAnswer: i**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34202 - -2*(-9 - -10).\nAnswer: 2, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.8 - 5.5. Let u = 551\/6 + -92. What is the smallest value in -5, u, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -17, 5, -21, 0, 44 in ascending order.\nAnswer: -21, -17, -4, 0, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**27)**(-1\/27)*((b*b\/(b\/(b**10\/b)))\/b)\/b**13 assuming b is positive.\nAnswer: b**(-82\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -166\/4595 = -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (-2 + sqrt(300))) + (sqrt(27))**2 + 2 + sqrt(3))*4 + -2*(sqrt(300)*2 + 2 + -3*(0 + sqrt(300))**2).\nAnswer: -36*sqrt(3) + 1920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(3\/2)\/w)\/w**2)**(-18\/7))**(-1\/5))**(3\/2) assuming w is positive.\nAnswer: w**(-81\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -364*f + 427*f - 94 - 788 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4588732 (base 10) to base 11.\nAnswer: 2654645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/(-104) + 1379\/(-394)*(2 + 0) + 9?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 279, 294, 327, 384, 471, 594, 759?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11109 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4, 7*a - 5*a = -j + 22. Solve a - 7 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5\/2 (b) -5\/3 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c30a68 (base 13) in base 5?\nAnswer: 2130333400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 1516?\nAnswer: 13644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 201?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28087.1 + -28087. Let v be (-510)\/508 - (0 - 1). Put v, 1, -0.2, l in descending order.\nAnswer: 1, l, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -18b2a2?\nAnswer: 18b2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2. Let c(d) = -2 + 2 - d**2. Suppose k - 1 = 0, 2*h + h + 4*k - 13 = 0. Let s(n) = -6*n**2. Let o(f) = h*s(f) - 15*c(f). Determine p(o(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*a + 133. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.48514 millennia to decades.\nAnswer: 6048.514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-5184)\/90))\/(80\/288)\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 - -138.88. Let r = j + 330.12. Let h = 335.000181 - r. What is h rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22038841.\nAnswer: 11, 19, 105449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -742.5 + 743. Which is the nearest to 2\/3? (a) o (b) -3\/19 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b. Let w(a) = -4*a - 1. Let v(m) = -742*m - 212. Let o(u) = 70*u - 139. Let k be o(2). Let c(h) = k*v(h) - 212*w(h). Determine c(s(f)).\nAnswer: -424*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (97\/194)\/(820\/272 - 3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, 49, 136, 221, 304, 385, 464?\n\"Answer: -v**2 + 92*v - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/(-1) + 30\/9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3 - 36*k**2 + 30*k + 68 = 0.\nAnswer: -1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -301*((-48)\/(-28))\/12?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 46 = 5*c, -16*c + 12*c - 17 = 3*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, h: 6, y: 4}. Give prob of sequence yhh.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37555, -37613, -37779, -38107, -38651, -39465?\nAnswer: -40603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**3 - 431708 + 431708.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43313\/13 or -3332?\nAnswer: -43313\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**5\/60 + v**4\/12 - 2*v**3\/3 + 6*v**2. Suppose -18*r + 0 = -54. Calculate w(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -43. Let f = -24 - p. Let c be (-3)\/(-4) + (-2)\/8. What is the third biggest value in -0.5, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(17) - (sqrt(17) + 2)) + 2)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-50))\/((-13)\/((-10010)\/(-11)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*h - 54, -n + 2*h = 2*n - 162. Suppose d = 2*a - 78, 4*a + 35 = -2*d + 167. What is the greatest common divisor of a and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*g = -3, 1 = 5*t + 3*g - 0. Let w(q) = 3*q + 1. Let k be w(0). Suppose 5*o - 48 = -4*m + k, 2*m = 2*o + 2. Solve -t = -m*l + 7*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006844291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -4. Suppose 7*g - 40 = -12. Which is the biggest value? (a) g (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/54 + -1 + (42 - 42)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**5 - 34613631*r**3 + r**2 + 349387.\nAnswer: 120*r**2 - 207681786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26421 - 26408. Solve i - 5*p = y, 5*i - 11 = -3*p - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10 - (7\/14)\/((-1)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -852 (base 10) to base 11\nAnswer: -705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 21. Suppose -6*o = -5*o - n. Let c(q) = 4*q**3 - 4*q**2 + q + 4. What is the tens digit of c(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 6 - 24. Let v = x + 10. Solve 2*h - 8 = i, 4*i = 2*i - h + v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15846 and 8.\nAnswer: 63384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/25, 2, -107872 in decreasing order.\nAnswer: 2, 1\/25, -107872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 c, and 1 o when three letters picked without replacement from {o: 1, n: 1, c: 1, b: 6, w: 5}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 21 = -o. Let n(u) = 35*u + 1 - 2 - 40*u. Let f be n(-3). What is the highest common divisor of f and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 = 18*i - 406. What is the remainder when i is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 2*c + 2 - 2*c. Let r be m(-1). Suppose -5 = 3*y + r, 5*i = -y + 33. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145651 + 530?\nAnswer: 146511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 338276 and 124944?\nAnswer: 556125744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 1. Let o(y) = -2*y**2 + 14*y + 3. Give -3*m(x) + o(x).\nAnswer: -2*x**2 + 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 + 6 + -10 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p. Let x(n) be the first derivative of -2\/3*n**3 + 0*n**2 + 0*n + 3. Determine l(x(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21352 divided by 11055\nAnswer: 21352\/11055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -120\/307 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1033541507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 123 + 123. Suppose -87 = 108*u + 21. Give w(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 11. Let k(i) = 4. Let p(y) = 13. Let c(s) = 12*k(s) - 4*p(s). Determine -8*c(z) + 3*v(z).\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1436809113 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, v: 2, t: 11}. Give prob of picking 1 j and 1 v.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1998.9585us to minutes.\nAnswer: 0.000033315975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4 + 1 + 3*l + 0 - 3. Let c be 1\/(15\/18)*5. What is the units digit of m(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (522\/(-8))\/((-9)\/6) and (-10)\/18 - (-82)\/328.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 7)*(-3 - 5 + 4)*(-2*u**2 + 7*u - 9*u + u**2)*(2*u - 4 + 4).\nAnswer: -72*u**3 - 144*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. Let f be r(-5). Let v(i) = i**3 + i**2 + i + 1. Let w(u) = -3*u**3 - u**2 - 7*u - 9. Let t(c) = f*v(c) + w(c). Factor t(y).\nAnswer: 2*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 6*v + 10. Let k be r(-8). What is the tens digit of k*5\/2 - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46 + (4 - 1 - 1). Let k(w) = 4*w + 3. Let u be k(-2). Let h = -1 - u. Solve -h*y + 20 = 0, -3*r + 14 - s = -5*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3178 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-5 + 8 + 44)) + -1 + 6 + 2\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 - 3*o**2 + 2*o - 1. What is the units digit of i(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6806 - -319. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/5 + 4761*h**2\/5 - 124374*h\/5 + 421256\/5 = 0 for h.\nAnswer: -4787, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 11. Let w be 0\/3 + -1 + 3\/f. Solve -4 = -w*g - 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3795.487 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 12:19 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 1)*(10 - 18 + 11)*(0*o**4 - o**4 + 4*o**4 + (-2*o**3 - 2*o**3 + 6*o**3)*(-6*o - 13*o + 0*o)) as y*o**3 + u*o**4 + k*o**2 + c*o + j and give u.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3912, -16002, -36144, -64338, -100584, -144882?\n\"Answer: -4026*v**2 - 12*v + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*v = -31 - 101, 2*q - 92 = -4*v. Let o be (-1)\/(((-38)\/q - -2) + -1). Which is smaller: o or -8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 313 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-270)\/6*(-6)\/9. Suppose 49 = 3*q + a, 3*q - a - 11 = f. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bil when three letters picked without replacement from {i: 1, b: 1, l: 2, p: 2, a: 1, h: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 3*q + 25. Let a(t) = -t**3 + 9*t**2 - 9*t + 11. Let f be a(8). Suppose -2 = -u + 2. Sort u, q, f in ascending order.\nAnswer: q, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -2\/7, 795, 0, 460?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 269 (b) -4 (c) -0.1 (d) 1\/6 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p = -4*r + 12, 5*p - 8 = r. Solve t = -0*t + 3*s - 10, r = -t - s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(147) + sqrt(147) + 0 + -5)**2 + -1 + sqrt(147)*2 + 1)*4.\nAnswer: -504*sqrt(3) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 17*v + 5. Let l be h(9). Let a = -83 + l. Let w = 250 + a. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -35*p - 34*p + 70*p. Let y(j) = -38*j. Let d(f) = 153*f. Let a(c) = 5*d(c) + 21*y(c). Determine h(a(v)).\nAnswer: -33*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2766472 is divided by 395205?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -18*u**2 - 415*u - 281. Calculate p(-22).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5\/7 + 58*u**4\/7 + 1444*u**3\/7 - 32084*u**2\/7 - 367778*u\/7 + 2430490\/7 = 0.\nAnswer: -17, 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -3, 8.1875?\nAnswer: 8.1875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32\/5 (b) -0.3 (c) -403 (d) 1\/4 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*c - 26452 = 146*c. Solve -19 = 74*a - c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14941 - -3?\nAnswer: 14944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2359?\nAnswer: 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 329443778?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 5, -0.31?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 307, 0.08, -1.7585?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 198*k**3 + 1635*k**2 + 2672*k + 1236.\nAnswer: -(k - 206)*(k + 1)**2*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2736) + -2 + sqrt(2736) + (-4*sqrt(2736) + sqrt(2736) - sqrt(2736))*5 + -3)**2.\nAnswer: 4320*sqrt(19) + 886564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -1\/2 (c) -3 (d) 721 (e) 354 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/2376 and 149\/72.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a + 11. Let u(r) = 30 - 3*r - 40 + 9*r - r. Let b(k) = -6*m(k) - 7*u(k). Calculate b(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -6 - 10. Let d(o) = -13*o + 3. Is 34 a factor of d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 0*c**4 + c**4 - 2*c**4 - c**4 + 5*c**4 + (-1 + 1 + c**2)*(-c**2 - 2*c**2 + 2*c**2) - c**4 + 7*c**4 - 4*c**4 + 3*c**4 - c**4 - 4*c**4.\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/4852 and 75\/14.\nAnswer: 33964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -273*v - 546. Let f be m(-2). Sort -37, f, 6, 4, -5 in ascending order.\nAnswer: -37, -5, f, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.03, -5, 0.157?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497514220?\nAnswer: 2, 5, 7, 3553673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21800 divided by 5450?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2116264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 42*a + 35. Let b(x) = 4*x - 20027 - 3*x + 20028. Let c(g) = -70*b(g) + 2*z(g). Let w(h) = 2*h**2. Calculate c(w(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 44541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8 (b) 0.2 (c) -2\/67 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3090 = -2*d + 3279, 0 = g - 4*d - 1309. Is 1276 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401120 is divided by 40110?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 95*x - 210. Give k(-45).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -68\/65?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l + 9750. Let x(s) = 2*s**2. Give y(x(n)).\nAnswer: 6*n**2 + 9750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 464913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23995 divided by -23995\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 12) to base 14.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 13*f**2 - 19*f**2 - 4*f to the form h*f**2 + m*f + y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o - 8. Let x(p) = p - 1. Let n(g) = 3*q(g) - 21*x(g). Let l(f) = -f - 1. Let w(j) = -j**2 + 57*j + 178. Let z be w(-3). What is z*n(c) + 5*l(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 19*p**2 + 3*p - 30*p**2 - 32 + p + 12*p**2. Is x(-14) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhyhhyhyyy. Give prob of picking 3 h.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 250\/17 greater than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218650?\nAnswer: 2, 5, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 71*f**2 + 121*f - 71. Is 120 a factor of x(71)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 8:53 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-12) + 2\/(-8). Let x = 73 + -43. Suppose 4*h = -20, 2*g + k*g - x = 2*h. What is the greatest common divisor of 44 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10115 and -0.03?\nAnswer: 10115.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*z - 345 = 0, 2*f - 3*z - 138 = -2*z. What are the prime factors of f?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {j: 1, e: 4, h: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.134843328 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478, 955, 1432?\nAnswer: 1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9.50469075 - -16582\nAnswer: 16591.50469075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 138610163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + g - 3*g)*(1 - 1 + 2*g) + (0 - 2*g + 0)*(-6 - 2*g + 6) + (0 + 0 - g)*(0*g - 2*g + 4*g) - 5*g**2 - 25*g**2 + 8*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25\/3 - 8. Suppose -c + 78 = 77. What is the second biggest value in a, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 2*n. Suppose 0 = -n*v + 5*r - 46, v + 2*r = -3*r - 2. Let u be 48\/70 - v\/(-30). Which is the smallest value? (a) -3\/4 (b) u (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-59)\/((-15)\/(-10) + -2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 5. Let n be d(5). Suppose n = -5*r + 4 + 1. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x - 37. Determine y(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -3\/25, -3, -3\/2, -0.4, -0.03, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 + (-9)\/(-7). Let l be b\/3 - (-10)\/(-3). List the prime factors of (7\/l)\/(2\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*r + 44, -3*r = -2*p - 5 - 39. Let y(g) = g**2 - 5*g + 6. Calculate the least common multiple of y(6) and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 4. Let m**3 - 4*m - 6*m**s - 4*m**4 - 10*m**4 + 23*m**3 = 0. Calculate m.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -122*f**4 - 2 - 29638*f**5 + 29639*f**5 + 0 + (0*f**2 + 0*f**2 - 2*f**2)*(2*f**3 - f**3 - 3*f**3) + 4*f - 2*f**5 - 4*f.\nAnswer: 3*f**5 - 122*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 1. Let z(o) = 3*o**2 - 3*o + 3. Let x(r) = 3*y(r) - z(r). Let j(t) = 2*t. Calculate j(x(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 5, 2\/5, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55159771*o**3 + 97*o**2 + 414*o - 320?\nAnswer: 330958626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 2. Let r be c(5). Let u(l) = -3*l + 1. Let t(x) = 5*x - 1. Let j(d) = -4*t(d) - 7*u(d). Let m(v) = 10 - 27 + 2 + 7 + 9. What is r*m(n) - j(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*o, 2*g - 3*g + 4*o = -18. Solve b - 3 = -4*r, 5*b + 23 = g*r - 3*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w - 6. Let q be t(-3). Suppose 2*u - 3*u + 2 = 0. What are the prime factors of 4\/(-6)*q\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -239, -474, -709, -944, -1179, -1414?\n\"Answer: -235*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41154, -55575, -79610, -113259, -156522, -209399?\nAnswer: -271890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 = -3*o, o + i - 10 = -2*i. Let j = -1 - 1. Is j greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 4:47 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35784691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4*k - 24. Let c be -3 + (-2 - 92*k). Suppose -2*r = -3*q - 54, 4*r - 148 = -3*q - q. What is the highest common divisor of c and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -20. Let y = -68.2539 + 74.25379. Let b = y - p. What is b rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 5*m**4\/8 + 16*m**3\/3 - m**2 + 17*m. What is the derivative of h(s) wrt s?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 8. Let o be c(-10). Suppose 0 = -f - o*u - 10, -2*u - 7 = 2*f + 3. Let q(s) = s**3 + 18 - 11 + s**2 + s + f. What is q(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 7:25 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (-9)\/(-3) - -2. Suppose 140 - 25 = a*i. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 391, 1, -4 in descending order.\nAnswer: 391, 1, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 20 + -11 + -22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u + 25 = 0. Suppose -74 - 240 = -68*h + 26. Do u and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3598 by -14.\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k**3 - 2*k**2 - 3. Calculate u(2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, n: 5, a: 3}. Give prob of sequence aax.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3577 + 1865 = -285*z + 597 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 133 + 2*v + 19.\nAnswer: -v - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(15\/(-10) - -1). Let r be 3403\/(-82) + t*(-1)\/(-2). Let x = 54 + r. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + t. Suppose 4*n - 2*x = 28, -4*x - 1 = 3*n - t*n. Solve n*z = a + 17, 4*z = a + 2*a + 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37121, 148506, 334163, 594104, 928341, 1336886?\nAnswer: 1819751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 848 and 297224.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 - 116. Suppose 900 = 6*h + m*h. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, -0.2, -4 in decreasing order.\nAnswer: -0.1, -0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, u: 3}. Give prob of sequence uuu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q - 18. What is l(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + -2 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2110 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -233 - -303. What is the remainder when q is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Let m(h) = h**3 - 16*h**2 + 2*h - 30. Suppose -5*u + 6*w + 78 = 7*w, u - 26 = 5*w. Let j be m(u). Solve 3*n - 15 = -d*n, -x - 7 = -j*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**4 - 51026 + 51024 - 15*k**2 + 2*k**4 + 2*k to the form o*k**2 + n*k + z*k**3 + d*k**4 + c and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/4, 314, -3\/7 in descending order.\nAnswer: 314, -3\/7, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 4*v**2 - 2*v - 2. Let w be t(2). Suppose -5*z + w = 3. Let p(c) = -c**2 - 5*c + 35. Let x be p(-9). What is the smallest value in -0.3, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 492 + -489. Suppose 5*k = -p - 2, r - 1125 = -3*k. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53460818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 2*b**2 + 10*b - 40. Let y be i(7). Let j = 627 - y. Let n(u) = u**2 - 12*u + 22. What is n(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3058596?\nAnswer: 2, 3, 84961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 3:55 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + z + 9. Let i(n) = 3*n**2 - 2*n - 19. Let p be (-8)\/((-680)\/(-17))*-15. Give p*i(t) + 7*x(t).\nAnswer: 2*t**2 + t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 18, 1.6 in ascending order.\nAnswer: 1.6, 10, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*o + 0)*(-2 + 2 + o) + 0*o**2 - o**2 + 0*o**2 - 2 + 2 + 2*o**2 - o**2 + 3 - 3 + (-o + 2 - 2)*(5*o - 5*o + 2*o) + 1 - 1 - 2*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, 775, 1763, 2791, 3859, 4967?\nAnswer: 6115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + v - 73, 6*u = 2*u - 4*v + 76. Let i = -28 + u. Let x = i - -31. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 152\/(-20) - (-4)\/10. What is the highest common divisor of r and 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 19*p**2 - 72*p + 179. Calculate x(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 105483 in -2\/19, -1\/4, 0.3, -5\/2, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**3 + 6*a. Let r = -19 + 36. Let c = r - 11. Let l(k) = -7*k**3 - 11*k. Let b be 1\/(0 + (-1)\/(-11)). Determine b*m(z) + c*l(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 91, 186, 319, 490?\n\"Answer: 19*x**2 + 38*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (26\/(-65))\/((2\/20)\/1). Let r be 210\/(-18) + j + (-2)\/6. Let x be 30\/(-24) + (-1140)\/r. What is the highest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6639 - 3786. Let l be 4\/(-14) + b\/63. Suppose -2*y + 7*y - l = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -32.\nAnswer: -32, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3596*o - 85. Let t(n) = n + 12. Determine h(p) + 7*t(p).\nAnswer: -3589*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 + 464*n**3 - 13100*n**2 - 43368*n = 0 for n.\nAnswer: -139, -3, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*v**3 + 222*v**3 + 274*v**3.\nAnswer: 91*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -21, -25, -31, -39?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(8)\/sqrt(4)) + sqrt(3) + sqrt(6)\/sqrt(32) - (3*sqrt(18)\/sqrt(2))\/sqrt(3).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103507.\nAnswer: 89, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119067.61*2.\nAnswer: -238135.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (888\/(-3108))\/((-13)\/14)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -4 + 4 + -4 - (-281 - -362).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -113 + 117 - (-2 + 3 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -198\/547, 2\/21 in ascending order.\nAnswer: -198\/547, 2\/21, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-9))\/(-4)*(-12)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m. Suppose m = x - 11. Suppose 0 = 2*k - 4*c - 18 - 168, -3*k + 306 = 3*c. Calculate the greatest common factor of k and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**5\/15 + 3*q**2 - 2*q. Let p(t) = t**2 + 1. Let r be p(-1). Let d(h) = -h**2 + 5*h**2 + h**r - h**2. Give s(d(u)).\nAnswer: -64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01585999468 rounded to 6 decimal places?\nAnswer: -0.01586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 102*t + 715. Let g be s(-7). Let p(j) = 2*j - 3. Let r(h) = -h + 1. Determine g*p(u) + 4*r(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6997 - (-16 - (2 + -16)) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(396)*-1)**2*-2 - (0 + (sqrt(1584) + ((1 + sqrt(1584))*-6)**2 - sqrt(1584) - sqrt(1584))).\nAnswer: -76860 - 852*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from fxfrrrrrxxx?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*s - 20 = 4*y, 9 = -y - 2*s. Let p = y + 19. Solve l = p - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 24232 = 2*g, 458*y = 463*y + 2*g - 40392. List the prime factors of y.\nAnswer: 2, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7520 or 819665\/109?\nAnswer: 819665\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.318 + -1.514. What is c rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taatppap. Give prob of sequence tt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6953851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -265, -26.51, -11 in descending order.\nAnswer: -11, -26.51, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 79 - 8116?\nAnswer: -8048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 76 - (-9 - -23) - 47?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d - 2. Let t be (-1 + 21)*(-6)\/(-15). Suppose -g + t = -i, 0*i - i + 17 = 4*g. What is the units digit of c(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 424 - 103. Let r = -161 + j. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eii when three letters picked without replacement from ieidddeeededeedee.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55593684?\nAnswer: 2, 3, 37, 41737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18730867, -37461720, -56192575, -74923432, -93654291?\nAnswer: -112385152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-51 + 125 - 38)*(9*s + 56 + 15*s - 26*s).\nAnswer: 72*s - 2016","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21424 - 21027. Put 1\/4, -1\/10, 5, 2, m in increasing order.\nAnswer: -1\/10, 1\/4, 2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 53. Let f be p\/(-30) - 82\/(-12). Suppose -u = -f*x + 2*x - 78, 2*x - 268 = -4*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122169499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -12 + (3 - -20) + 69\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-7 - (-12 + 8)) - (7 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -722ad (base 15) to base 8\nAnswer: -1302412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -83*h. Let y(n) = -970*n - 17. What is s(y(g))?\nAnswer: 80510*g + 1411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21410 and 1137790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from mmvhmhmvvmmhmvhhhvv.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 28*b**5 - 15 + (-2*b**3 + 2*b**4 + 2*b**3 + (0*b**2 - 2*b**2 + 0*b**2)*(2*b**2 + 3 - 3) + 0*b**4 - 5*b**4 + 3*b**4)*(4*b - 27*b - 12*b).\nAnswer: 112*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8144 - 4377. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.5 - 8. Let k = -1 + f. Sort 0.5, k, -1 in decreasing order.\nAnswer: 0.5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4823, -22152, -51033, -91466, -143451?\nAnswer: -206988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 10:33 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*o + 3*o. Which is the closest to 0? (a) o (b) -2\/9 (c) 2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 6*h + 7. Let x(v) = 3*v**2 - 11*v + 14. Let m(o) = 7*i(o) - 4*x(o). Let u be m(-5). Let k = 55 - u. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {k: 5, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.86 + -465.14. Which is greater: m or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877124541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 7*r + 14 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-5)\/(-53))*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*k - 13*k**3 + 10*k**2 - 17*k**3 + 15 - 25*k**4 - 45*k**5 + 40*k**5.\nAnswer: -5*(k - 1)*(k + 1)**3*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8)\/z)\/z**(-4)*(z**(-2\/7)\/z)**(-4\/15) assuming z is positive.\nAnswer: z**(1041\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 16*o**2 - 465*o - 572. Calculate k(34).\nAnswer: 2114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1676.31 and -27699870.\nAnswer: -27701546.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 25\/2. Let h be 0*(2 - 1)\/(-1). Let v be 2\/(-5) + (-2)\/(-5). Which is the closest to h? (a) -0.4 (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 5*w - w)*(-2*w**3 - 2*w**3 - 4*w**3) - 6*w**4 - 32 + 32 - w**3 + 3*w**2 - 3*w**4 - 3*w**2 as m*w**4 + d*w**3 + x*w**2 + g + b*w and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {c: 1, v: 1, s: 1, h: 2, d: 1, k: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 4 + 19*k**2 - 16*k**2 - 3. Let o be 3\/(-9) + 6\/(-9). Let a be h(o). Solve -2 = n - a*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5*(-21)\/60)\/((35\/(-71980))\/(-7)).\nAnswer: 7, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*q + 954*q + 5736 = 0 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 490\/(-686) - 89\/(-7). Let g = -27 + 42. Calculate the greatest common divisor of p and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -506, -376, -162, 136?\n\"Answer: 42*i**2 + 4*i - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13582 + -339504\/25. Let n = s - 732\/425. Sort n, 2, 1\/8.\nAnswer: n, 1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(13) + -4 + sqrt(13))**2 - (2 + sqrt(13) + -4) - (0 + (2*sqrt(325)*-1)**2).\nAnswer: -1245 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9506480593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 13. Let b be x(-12). Let a = b - -49. Solve 3*c + 2*c + 15 = a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4591514\nAnswer: 1\/2295757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 - 46*u**2 - 2*u - 37. What is the least common multiple of 125 and s(-23)?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z - 1. Suppose 184 - 4 = 9*m. Suppose -m = -5*c - 5*s, -6*c + 16 = -2*c - 3*s. Let i(w) = -w + w + 1 + w - 6*w. Determine c*i(x) + 6*h(x).\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 68 = -3*b, 0 = 5*b + 2*i - 69 - 59. Let z(g) = -3*g**2 - 330*g - 6339. Let f be z(-85). Calculate the highest common factor of f and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4777354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-154)\/329)\/((-191)\/8977).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -535, -1037, -1483, -1849, -2111, -2245, -2227?\n\"Answer: 4*o**3 + 4*o**2 - 542*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.3 + 22.07. What is s rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 1:48 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 9 (c) 0.03 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23130*j**2*t**2 - 6*j*t**2 + 5*t**2 + t - 83697 wrt j.\nAnswer: -46260*j*t**2 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20206 - -20210. Which is the second biggest value? (a) -4 (b) -2\/181 (c) 2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 0*s**3 + 2\/945*s**7 + 0 + s**2 + 1\/1512*s**8 - 1\/135*s**5 - 1\/108*s**4 + 0*s + 0*s**6. Factor v(l).\nAnswer: 2*l*(l - 1)*(l + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 428969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-182)\/21)\/(4\/6). Let r = 12 + t. What are the prime factors of (-122)\/6*(r + -2)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + z - 6*z)*(1 - 4 + 5) - 4*z - 2*z + 8*z + 2 to the form l + u*z and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43491.54 nanoseconds in microseconds?\nAnswer: 43.49154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.131*-229.\nAnswer: 29.999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 6, 0 = -4*c - n + 12 + 18. Suppose 0 = -c*h + 7*h - 3, 2*h = 3*r - 126. Calculate the least common multiple of r and 140.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1412612653 and 9371?\nAnswer: 9371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -1\/2*q**2 + 6 + 0*q - q**3 - 1\/5*q**5 - 3\/4*q**4. Solve g(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2194*k**3 + 1092*k**3 + 4*k**2 + 37 + 1100*k**3 to q*k**3 + z + i*k**2 + b*k and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/54766 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 65 - 65 - 5*i**4 + (-17*i - 3 + 3)*(-3*i - 4*i + 8*i)*(4*i**2 - 3 + 5 - 3*i**2) - 3*i + 3*i + 2*i**4 as o + c*i**3 + a*i**4 + l*i**2 + r*i and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19755540 is divided by 1975550.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**5 - 506*i**4\/7 - 1296*i**3\/7 + 22*i**2\/7 + 1688*i\/7 + 120\/7 = 0.\nAnswer: -15, -2, -1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*sqrt(130) - sqrt(130)))\/(-3*sqrt(490) + sqrt(490)).\nAnswer: 15*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5386*c - 6434*c + 102704 = 0 for c.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 21. Let d = -0.06 + 3.06. Let y = o - d. What is the third biggest value in 0.5, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 744, -2, 1, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 15*p**2 + 11*p + 88. Let q(c) = 3*c**3 + 22*c**2 - 17*c - 124. Let h(j) = 5*q(j) + 7*t(j). Let m be (1 - -1)\/((-1)\/3). Calculate h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -196007496*c**4 + 2215*c**2 + 7443 wrt c.\nAnswer: -4704179904*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125 - 121. Solve b*q + n = 13 - 0, -4*q = -5*n - 31 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l**2 + 31*l**2 - 12*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(110)\/(sqrt(10) + sqrt(40) + sqrt(10) - sqrt(10))*4*-4.\nAnswer: -16*sqrt(11)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 45 = 18*x + 5, -33*p - 16*x + 330 = -20*x for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18973353 divided by 18973353\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/(((-2600)\/340)\/(-26))\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)\/(i**(4\/31)\/i))\/((i**(1\/20)\/i)\/(i**(-1\/36)\/i)) assuming i is positive.\nAnswer: i**(331\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -549\/778 or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -129, -192?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*q - 20 = 286, -303 = -5*w + q. Suppose -4*m + w = -m. Suppose 0 = -c + r + 4, -7*c + 4*r + m = -2*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37059.\nAnswer: 3, 11, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 11. Let n be g(0). Let p = -624 - -431. Let z = p + 193. What is the biggest value in n, z, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91) + (sqrt(91) - sqrt(91)*2))*4)\/(sqrt(14)\/sqrt(2)*-1) - ((sqrt(65)*-2 + sqrt(65) - sqrt(65))*-3)\/(sqrt(405)*2).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0 + 2\/3*s**3 - 26*s + 0*s**2. Let x(u) = 2*u. Determine b(x(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/20 (b) -1 (c) -3665 (d) -2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 22*u**2 - 24*u - 30. Determine k(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(4))\/sqrt(2) + (sqrt(2) + (sqrt(2) - -2*sqrt(162)) - sqrt(2))**2 + 6*sqrt(18).\nAnswer: 10*sqrt(2) + 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4395987?\nAnswer: 3, 73, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/521?\nAnswer: -3\/521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*-1 - -1*sqrt(32).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*d + 714*d = -2*m + 4, 10*d + 2*m = -36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48382 and 4?\nAnswer: 96764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p**3 + 12*p**3 - 4*p**2 + 14*p + 2*p**2 + 4*p**2 to c*p + o + w*p**2 + m*p**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -7.3. Let u = j + 0.73. Which is the smallest value? (a) u (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + -3 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 7130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 - 71*j**4 + 1726*j**3 - 15410*j**2 + 25921*j - 12167.\nAnswer: (j - 23)**3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-20)\/50*(-130)\/2 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 12*b - 3. Let p be l(9). Suppose -125 = -5*c + p. Factor 79*f**4 + 3*f**2 + f**2 - 2*f**3 - 35*f**4 - c*f**4.\nAnswer: -2*f**2*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3 - 3 - 2*s. Let w(t) be the second derivative of 0 + 3*t + 0*t**2 - 1\/3*t**3. Calculate w(l(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*v**3 - 165470*v**2 - 5241*v - 331 wrt v?\nAnswer: -36*v - 330940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -805.3 - -805. Let g = -43 - -42.93. Which is the smallest value? (a) m (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 15 = 5. Let d = 5 - 3. Let q(f) = d*f + c*f + 3*f - 5*f. Let k(n) = -n**2. Determine q(k(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5535851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13\/3)\/((-33)\/(-52569)). Calculate the highest common factor of r and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**2 - 18*y + 24 = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144 - (-69 + 15)) + 62?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -223549248 and -3375.\nAnswer: -223552623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 11507*s + 11503*s = -40, 2*o + s - 13 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5467.06878 + 0.10081.\nAnswer: 5467.16959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 199*x - 3 + x**2 + 2 + x**3 - 199*x. Let h(y) = -5*y**3 - 3*y**2 + 6. Let a be -2 - (-18)\/((-15)\/(-5)). Calculate a*f(i) + h(i).\nAnswer: -i**3 + i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from qiidiqyydcsicicdddi.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7)**13\/(o\/o**(-5))**(-7\/10) assuming o is positive.\nAnswer: o**(476\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030203119.\nAnswer: 11, 7951, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.1, 2, 203297?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*a**3 - 5*a**5 + 34*a**2 - 42*a**3 - 2*a**5 wrt a?\nAnswer: -420*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/5, -0.4, -0.2, 0.18, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6*c + 2*c**2 - 2 + 10 = 0. What is c?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95*s**5 + 7616*s**3 - 21890*s**2 + 24*s.\nAnswer: -5700*s**2 + 45696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40800 rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5 - 21 = 0. Let d be (-4)\/14 - 825\/(-21). Let -d*x**2 + 41*x**2 - x**4 + 2 - 5*x + 4*x**3 - 3*x**j + x**5 = 0. Calculate x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4 + 1805803*q**3 - 7223201*q**2 + 9028997*q - 3611598 = 0. Calculate q.\nAnswer: 1, 2, 1805799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-4 - 4 + 2)*((-k + 3*k - k)*(0 + 0 + k**2) - k**3 - k**3 + 0*k**3 - k**3 - 2*k**3 + 0*k**3).\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 72. Let m = -22.00087 + s. Round m to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q**3 + 983*q**2 + 166*q - 314. Let j be b(164). Which is bigger: j or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.02, 9357, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 380744711 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: What is the biggest value in 1\/6, 2, -5, -1.71?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-21)\/((-756)\/(-24)))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 y when three letters picked without replacement from ayytretytptyattyyeap.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 468538.2ml?\nAnswer: 468.5382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -19*x, 5*u - 25 = 5*x. Solve 2*d = u + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/23))**(6\/11)\/(f*f\/((f\/(f*(f*f\/f**(-5)*f)\/f))\/f))**(-9) assuming f is positive.\nAnswer: f**(22782\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 + 1299*a\/4 - 3915\/2.\nAnswer: (a - 6)*(a + 1305)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6234238 (base 9) to base 2.\nAnswer: 1100101100111000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19716 - -40884. Is v a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**3 - 6*j**2 + 5*j. Is 12 a factor of u(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a + 2. What is the remainder when (4\/1 - -52)*(1 + 0) is divided by g(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101011 (base 2) to base 11.\nAnswer: -1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**0)\/j*j*j)\/j)**(1\/19)\/((j\/j**3)\/(j\/((j\/(j*(j*j**3)\/j))\/j))) assuming j is positive.\nAnswer: j**(134\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 - 10*f**2 + 2*f**3 + f**3 + 7*f + 3*f**2 - 2*f**3 in the form h*f**3 + q + i*f + d*f**2 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0*l + 0*l**3 + 5\/24*l**4 + 0 + 6*l**2. What is z(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -337877, -675755, -1013631, -1351505, -1689377?\n\"Answer: g**2 - 337881*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 4. Let n be t(10). Let h(v) = 24*v - 1. Let k be h(n). Suppose -5*g - 3*y + k = -3*g, 5*y = -25. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911205 is divided by 3813.\nAnswer: 3711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 200 + -186 - (40 - -8 - 6).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11847, -12329, -12815, -13305, -13799, -14297, -14799?\n\"Answer: -2*r**2 - 476*r - 11369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/120 + x**5\/15 + 5*x**4\/24 - x**2. Let r be m(5). Let s be (6 - 168\/40)*(1 + 4). Put -5, r, s in ascending order.\nAnswer: -5, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 12:35 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**3\/9 - 314*p**2\/3 - 98596*p\/3 + 264. Factor q(s).\nAnswer: -(s + 314)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -599 (b) 2\/35 (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -80*g**3\/3 - g**2\/2 + 46*g. Let r(b) = 2*b. Give p(r(i)).\nAnswer: -320*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1339 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52.9 and -770184?\nAnswer: -40742733.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 - 883 = -11*k. What is the remainder when 327 is divided by k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -34. Let 19*y**2 - 10 + 42 - c*y**3 + 7*y**2 - 48*y - 2*y**2 = 0. What is y?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 80*f + 77*f - 3 = 0, 3*t = 5*f + 29. Solve -3*x = 3*m - 15, 3 = t*m - x - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w = 30. Let a(m) = 4*m**2 + 6*m. Let r(b) = 3*b**2 + 5*b. Let x(z) = w*r(z) - 5*a(z). Let s(i) = 1 - 1 - 3*i**2. Determine x(s(p)).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 420, 1852, 4238, 7578, 11872, 17120?\n\"Answer: 477*w**2 + w - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 252, 5, 659, 1\/8, 4, 0.4?\nAnswer: 659","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 + 38*x - 5. Let d = -114 - -125. Suppose 4*g - 3*v = 83, 3*v - 26 - 10 = -3*g. What is the remainder when s(d) is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.79 - -0.41. Let y = x - -12.8. Let g = 16.00009 - y. 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 a(g) = g**3 - 11*g**2 + 21*g - 37. Give a(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50.9988 - 51. Round k to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 20*p**2 - p - 36*p**2.\nAnswer: -56*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2665, -10615, -23857, -42391, -66217, -95335?\n\"Answer: -2646*y**2 - 12*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (-20 + 15 - (-18 - -17))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a + 23*a**3 - 3 + 3*a + a + 4. Suppose -z - 2*k = 7, -4*z + 16*k = 20*k + 12. Does 5 divide o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1521 + 100994*n**3 + 1521.\nAnswer: 100994*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15880?\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i - 5. Let a be n(-2). Let w = 15 + -11. Let x be 3\/(-6) + 22\/w. Solve 20 = -2*k - a*h, h = k + x*h + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.24077 - -1.25993. Let w = k + -1.5. What is w rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*s**3 + 26*s**2 - 13*s**2 + 15*s**3 + 29*s**2 + 12*s**3 to the form x*s + t + i*s**3 + l*s**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 18*k - 1 = 0, -4*n + k + 37 = 0. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4275)\/(-1140))\/((3\/8)\/1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308, 1392, 2448, 3464, 4428?\nAnswer: 5328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/54*((-105)\/(-14))\/(-5). Which is the nearest to y? (a) -0.4 (b) 0.5 (c) 0.1 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3300033 (base 5) in base 8?\nAnswer: -155714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 53*m + 197. Let n be g(-4). Let o(y) = y**3 + 6*y**2 + 72*y. Let x be o(n). Round x to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0*u**6 + 0*u**3 + 0*u**7 - 1\/84*u**8 + 0*u**5 + 1\/6*u**4 + 0*u - 4*u**2 + 0. What is the second derivative of l(t) wrt t?\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57, 255, 587, 1053?\n\"Answer: 67*n**2 - 3*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-288)\/(-27) + -1*2\/(-6). Let f(c) = 2*c - 8. What is the lowest common multiple of f(n) and (-8)\/36 - 148\/(-18)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190*c*y - 2*c - 7*y**2 - 6581 wrt y.\nAnswer: 190*c - 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -12*s**2 - 19 - 6*s - 2*s - 3*s. Let b(i) = -3*i**2 - 3*i - 5. Let t(o) = -9*b(o) + 2*f(o). Is t(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asqatsjqjnqsjqaqa. Give prob of picking 1 n, 1 s, 1 t, and 1 j.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -125.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5360519, 10721038, 16081557, 21442076, 26802595, 32163114?\nAnswer: 37523633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/7920)\/(((-980)\/(-150))\/(-7)))\/(2\/(-7))?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(((b**(-11)\/b)\/b)\/b)\/b)\/b**1 assuming b is positive.\nAnswer: b**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, -5, 38, 0, 2 in decreasing order.\nAnswer: 107, 38, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/395 and -40\/869.\nAnswer: 4345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4*y + 0)*(-160 + 21*y + 160)*(1 + 3 - 6) + (-y - 3*y + 3*y)*(-5*y + 2*y + 2*y) as m*y + l*y**2 + r and give l.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*y + 5*x, y - 3*x = -0*y - 9. Suppose 3*s + s = 5*j + 27, -s - 16 = 2*j. Sort j, y, 2.\nAnswer: j, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 3*s**2 - s + 2. Give m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1224 - r**2 + 1224 + 7*r**2 + 13*r**2. Let q(v) = 4*v**2. What is q(c(x))?\nAnswer: 1444*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19 - 18 - 1\/(-1). Let y(s) = 8*s**2 - 6*s. Is 5 a factor of y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*p**4 + 16*p**4 + 52*p**2 + 3*p**4 wrt p?\nAnswer: 2256*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + -1*(3*sqrt(220)*-2)\/sqrt(11).\nAnswer: -1 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y**3 - 23*y**2 - 12*y - 3802 + 3802 as x + j*y**2 + s*y + k*y**3 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 + 70*u + 159. Let g(d) = -6*d**2 - 69*d - 162. Let j(a) = -4*g(a) - 3*q(a). Factor j(x).\nAnswer: 3*(x + 3)*(x + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*x**5 + 3*x**3 + 15894*x**2 - 7134189*x wrt x.\nAnswer: 680*x**3 + 18*x + 31788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1. Suppose 131*a - 4 = 135*a. Let r(n) = -5*n - 26. Let s(f) = a*r(f) - 3*p(f). What is the derivative of s(w) wrt w?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2150419148910.9 and 0.4.\nAnswer: -2150419148910.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/55 - (-54)\/(-66)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 14 = -o, -424 + 445 = -5*g + o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 = 2*p, -5*m + 4*p + 0*p = -12. Let n = -864 + 869. Suppose 4*l - 14 = -h + n*l, 59 = m*h - 3*l. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1368770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 61*d**3 - 4*d**2 - 11*d + 7. Let c be n(5). Suppose 22*s = c + 14721. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/151 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315 is divided by 689?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22012 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-330))\/(52\/1144)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k*k**(2\/3)\/k*k*k))*k*k**13*(k*k**(-2\/5))**(2\/33) assuming k is positive.\nAnswer: k**(2756\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let y(l) = -187*l - 20. Let z(o) = -101 + 303 + 1513*o + 110 + 1386*o. Let b(n) = 78*y(n) + 5*z(n). What is p(b(t))?\nAnswer: 182*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 728286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53316948.\nAnswer: 2, 3, 4443079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/11 - 414716*w\/11 + 117108960\/11.\nAnswer: -2*(w - 282)*(w + 207640)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6055000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2395000 is divided by 1197387?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 591 = 5*c, 1128*x + 2*c = 1127*x + 528. What is the greatest common divisor of x and 1534?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5664 + -1.5664. Which is smaller: -299.8 or b?\nAnswer: -299.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -22*l**3 - 7*l**2 + 50*l - 142. List the prime factors of z(-12).\nAnswer: 2, 18133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -301 in descending order.\nAnswer: 6, 5, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.97 - 0.03. Let q = -34322 + 34322.03. What is the third biggest value in -8, b, q?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 (base 8) in base 4?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -279 (c) -5 (d) -1\/7 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) - (-285)\/(-25). Sort -4, a, 3 in descending order.\nAnswer: 3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.242879 rounded to three decimal places?\nAnswer: 0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 19*m + 0.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -25, -103 in ascending order.\nAnswer: -103, -41, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*p + 336*p - 2*p**3 - 55*p.\nAnswer: -2*p**3 + 450*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 3*r + 4. Suppose -36*b - 16 = -40*b. Let l(h) = 2*h + 2*h + 2*h**2 - 8*h - 5. Suppose 27 = 5*v + 2. What is b*l(f) + v*n(f)?\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339947660.\nAnswer: 2, 5, 13, 751, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i. Suppose -2*n + 12 = 2*n. Suppose 323 = 5*c + 288. Let z(w) = 4*w. Determine c*s(o) + n*z(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4785617 (base 9) to base 16\nAnswer: -279b9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -37, 3, -6, 2 in descending order.\nAnswer: 5, 3, 2, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m + 3. Let v be k(3). Let p(o) = -o**3 + 2*o**2 - o - 5. Let l be p(3). Let y = l - v. What is the remainder when y is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a - 17. Let w be i(3). Let r be 2566\/6 + 8\/(-12) + w. Round r to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 2:55 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11320 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645216 divided by -188.\nAnswer: -3432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*r, 118 = 5*h - 4*r - 0*r. Suppose i + 22 = 3*n, -3*i + 72 - 26 = 5*n. Calculate the remainder when h is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/5 - (-3)\/5. Let h(l) = -3*l**2 - 96*l - 385. Let g be h(-27). Solve -d*o - g = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2cadb + -4?\nAnswer: 2cad7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 8*u - 3*u + 5*u + 0*u - 9*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**7)\/((n*n*n\/n**3)\/n)*(n*(n\/(n*n**(1\/5)*n))\/n)**42*n**6\/(n\/(n\/(n*n**1*n)))*n**(-4\/9)\/n*n*n\/(n\/n**(2\/29)*n) assuming n is positive.\nAnswer: n**(-70177\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 10 + 5. Suppose -t*u = -10, 0 = -2*c + 6*c - u - 182. What is the remainder when c is divided by (6\/12)\/((-1)\/(-24))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 x when three letters picked without replacement from {x: 1, q: 1, d: 17}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 3115 - 3143 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 1, z: 4}. What is prob of picking 1 d and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Suppose 4*s = 2*s + i. Sort s, 4, 0 in ascending order.\nAnswer: 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4530\/(-1208))\/(3\/8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, -26, -3, -5.\nAnswer: -26, -21, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17369 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 17880 = -4*z, 3*z - 12*t + 15*t - 13383 = 0. Calculate the greatest common divisor of z and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 47232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42, -47, -54, -63?\n\"Answer: -b**2 - 2*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**2 - 15*a - 48. Let n(t) = 24*t**2 - 77*t - 240. Let h(f) = -2*n(f) + 11*v(f). List the prime factors of h(-11).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/132*(-275)\/(-20).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41119161*n**3*t**3 - 3*n**3*t**2 - 3*n**3 - 10*n**2*t**3 + 12586872*t**3 wrt n?\nAnswer: 246714966*t**3 - 18*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h**2 - 3*h + 4. Let a(i) = i**2 - 2*i + 2. What is -5*a(s) + 3*b(s)?\nAnswer: 3*s**3 - 2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppvppppvppppppvpp. What is prob of picking 3 v?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 744 - 56. Let n = 801 - h. Which is smaller: -3\/701 or n?\nAnswer: -3\/701","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*v - 113*v + 14. Suppose 0 = j + v - 19. Let n(b) = -b**2 + 12*b + 2. Let l be n(j). Solve -3*p = -p + l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5470 - 5403. What is the greatest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107313 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 7:03 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(108)\/sqrt(4)))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21924736*j**3*q*w**3 + 7*j**3*q*w**2 + 4*j**3*q - 2*j**3 - 137*j**2*q*w**2 - 8*j**2*q*w - 6*j*w + 1 wrt w?\nAnswer: -131548416*j**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.487283 grams to micrograms.\nAnswer: 3487283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/14 - -41\/182. Let h be (-3)\/2 + (-124)\/(-72). Let l be -1 + 4 + (-26)\/10. What is the third biggest value in h, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*j + 0 + (3*j - 2*j + 3*j)*(0 - 2 + 0) - 2*j + j - j - j - 4*j + 4*j + (0*j - 2*j + 0*j)*(-1 + 3 - 3).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3845, 5, 0, -2, 2, -3, 25 in increasing order.\nAnswer: -3, -2, 0, 2, 5, 25, 3845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 56 - 64 = 0. Let h be (8\/l + -71)\/(-1). Calculate the highest common factor of h and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(3*j + 0*j + 0*j)*((3*j - 2*j + 0*j)*(-58 - 26 + 24) + j - j - j).\nAnswer: -366*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 8:08 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 0, 112, 31 in ascending order.\nAnswer: 0, 31, 51, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -67\/3?\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 39277 + 17543. List the prime factors of r.\nAnswer: 2, 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 9:49 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-10 + -1) - 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 13*a**2 + 24*a + 18. Let z be f(11). Solve -5*b = -5*d - z, b = -4*b - 3*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -387, -386, -385, -384, -383, -382?\n\"Answer: w - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -14*i + 10*i - 31, -9*i + k = 71 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -15 + 8 + 25 + (1 - -2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10397755843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 223572 and 263748?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -35331 divided by -11777\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1910\/9 + 212. What is the nearest to -0.1 in y, 5, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-93)\/6417)\/(((-10)\/15)\/2)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-424)\/60 - (-1071)\/102*5\/(30\/4)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 89827 and 18801?\nAnswer: 808443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 5*y - 10. Calculate d(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 p when four letters picked without replacement from {b: 2, h: 1, p: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 160*m**2 + 145*m - 907. What is the least common multiple of 10 and k(8)?\nAnswer: 104930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f = -28*f + 529000. What is f rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/42 + 10\/(-105).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69944 divided by 1.\nAnswer: -69944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvbfwewbwwwwvv. What is prob of picking 1 v, 2 b, and 1 f?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*a**2 + 453*a - 75.\nAnswer: -3*(a - 25)*(6*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 + 2*q - 1. Let m be o(1). Let y(k) be the second derivative of -k**4\/12 - k**3\/2 - 3*k**2\/2 + k. Let b be y(m). Which is smaller: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1309 (b) -0.3 (c) -5 (d) -0.1 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 13403 (b) -2 (c) 6\/11 (d) 21 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from {d: 4, l: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.3 + 2. Let t = -325 + 333. Let b = h + t. Put 2\/3, -1\/4, b in increasing order.\nAnswer: b, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/63))\/p*p**(5\/4)*p assuming p is positive.\nAnswer: p**(559\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = 8*v + 943. Find the common denominator of -38\/33 and 2276\/v - 12\/(-66).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/((c*c**(1\/14))\/c)*c**(-19)*c**(-1\/36)*c*c\/((c\/(c*c*c*c*c*c\/c**(-1\/3)*c*c*c*c))\/c) assuming c is positive.\nAnswer: c**(-1201\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5669 is divided by 2744.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 0*h**2 + 0*h**4 + 0*h**3 + 2*h + 0 + 1\/40*h**5. Let g(n) = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 12:39 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14220903*h**3 - 5603869*h - 2.\nAnswer: 85325418*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**3 + 2*r**2 + 4. Determine w(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2697*z + 29001 - 37110 = -85*z + 93759 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 10. Let h be a(-3). Which is bigger: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/9 - 4)\/((-2)\/94 + 19635\/(-203745))?\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/18025 or 1?\nAnswer: 6\/18025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 23. Suppose 3 = 5*l - m. What is the lowest common multiple of (2 - -26)*(-4)\/(-16) and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13, 2, 4, -76, -3 in descending order.\nAnswer: 4, 2, -1, -3, -13, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:00 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 756802?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/3 - 164*p**2\/9 - 286*p\/9 - 116\/9 = 0. Calculate p.\nAnswer: -1, -2\/3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 18. Suppose -4*s = j - 249, 2*s + 4*j - 111 = -j. Suppose -n + 2*k + 7 = 0, -p*n = 5*k - k - s. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b - 43. Let j = 36 + 0. Suppose -2*n + w = 2*n - 25, -3*n - 5*w = -j. What is the remainder when n is divided by p(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -2*n - 2, a = -0*n - 3*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h + 40. What is i(-73)?\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*c - 4 = 0, -2*c - 20 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24, -63, -158, -333, -612?\n\"Answer: -4*k**3 - 4*k**2 + k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f + 4. Suppose 0 = 4*i - 0*a - a + 4, -i - 4*a = -16. Suppose 3*n - 7 = -3*p + 5, 5*n - 20 = 3*p. Let z = p - i. Calculate l(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*u - 91 - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 772 (base 9) to base 5\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 360026865479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 + 2*b**2 + 3*b - 1. Let s(y) be the second derivative of y**5\/20 + y**4\/12 + y**3\/6 + 144*y + 8. Let m = -15 + 13. Determine m*z(q) + 6*s(q).\nAnswer: -2*q**3 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -22 + 2 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u + 30 = -3*t, -2*t + 8 = -2*u. Let h be u - (-3 + 1) - 0. Let r(b) = 2*b**2 + 6*b + 3. What is the remainder when 41 is divided by r(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(0 + 15\/(-6)). Let d(v) = 2*v**2 + 6*v - 7. Let f be d(-6). Let b = f + -86\/3. Which is smaller: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3 (b) -2 (c) 39\/5 (d) -1 (e) -522\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 42.5, -5, -0.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172087114?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(-1 + sqrt(304) + sqrt(304))*4 - (0 + (sqrt(304)*1 + sqrt(304) - sqrt(304)) + 0))**2.\nAnswer: -3968*sqrt(19) + 292398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3434027?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 77424620 a multiple of 1729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 37. Suppose 10 - w = n. What is the derivative of -z + 11 - 6*z**n + z**2 + z wrt z?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22656 (base 11) to base 8.\nAnswer: 77733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 68*m**2 + 4*m. Let n(l) = -l**3 + 6*l**2 - 7*l + 8. Let y be (-27)\/(-5) - (-4)\/(-10). Let b be n(y). What is the units digit of k(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69324151 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113555 + 10?\nAnswer: 114005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*c - 8, 333*c - 334*c + 18 = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.03, 0.4, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*i**2*m - 2*h*m**3 + i**2*m**3 - 4*i**2*m**2 - 46*i**2 - 2*i wrt m?\nAnswer: -12*h*m + 6*i**2*m - 8*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00362992291 to seven dps.\nAnswer: -0.0036299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3394 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 12*j + 4*j + (-1 + 0 + 2)*(j - 2*j - j) + 11 + 8*j - 11 + j + 4*j - 4*j as v*j + h and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19266750 and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 24 = -4. Let f = -3 - l. Let s(k) = -k - 1. Let p be s(f). Let c(u) = -u - 12. What is c(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f - 35 - 108 = -24*f - d - 21, 2*d + 17 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 226, 11813 in descending order.\nAnswer: 11813, 226, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129316.86 nanoseconds to minutes.\nAnswer: 0.000002155281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6907.716l?\nAnswer: 6907716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -147*m**3 + 24*m**2 + 10*m - 7. Let v(k) = -k**3 - 3*k**2 - k + 1. Let c(i) = -f(i) - 7*v(i). Find the third derivative of c(w) wrt w.\nAnswer: 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2. Let h(z) = -2*z**2 - 3*z. Let t(l) be the third derivative of l**5\/20 + 5*l**4\/24 + l**2. Let b(f) = 5*h(f) + 3*t(f). Calculate b(j(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20940 - -20946. Let w = -13 - -67. Calculate the greatest common divisor of g and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64894 - 44734. What are the prime factors of r?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232643421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6374, 12754, 19134, 25514?\n\"Answer: 6380*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + d + 3. Let l be t(0). Suppose -4*n + 6 + 2 = 0. Solve -3*b = 3*a + 3, -a = 5*b - n*b + l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10060379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, n: 1}. Give prob of picking 3 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.593935 decades to centuries.\nAnswer: 0.2593935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - d**3 - d**2 + 14 - 6 to the form g + v*d**2 + s*d + q*d**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12585447299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 - 322*n**4 + 16836*n**3 - 358696*n**2 + 2576912*n + 2952768 = 0 for n.\nAnswer: -1, 26, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - f - 5*f + 3*f + 5*f**2 + 1. Let q be r(4). Suppose -3 = -5*i + 2. Solve -4*g + q = i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27063 is divided by 64.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -345*n**4 + 392*n**3 + 506*n**2 + 160*n + 14. Let u(c) = c**4 - c**2 + 1. Suppose 3*r + 0 = -3. Let a(b) = r*f(b) - 2*u(b). Factor a(l).\nAnswer: (l - 2)*(7*l + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-22)\/28 + 8721\/189 + -46.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29913772 is divided by 515?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1858\/29 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000304915 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1701844 is divided by 2397.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**3 - 323373*b**2 - 1249453.\nAnswer: -9*b**2 - 646746*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2048, -4698, -7348?\n\"Answer: -2650*a + 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4158, 4155, 4142, 4113, 4062, 3983?\nAnswer: 3870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112 (base 3) to base 14.\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -10, -3, -8, 3, 16 in increasing order.\nAnswer: -85, -10, -8, -3, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1620806396?\nAnswer: 2, 11, 43, 251, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1361, -3169, -6211, -10511, -16093, -22981?\nAnswer: -31199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2*92\/115 - -8455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 57, -1\/3, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ecb3 (base 16) to base 8.\nAnswer: 1166263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 + 54.8. Let n = -2.2 - i. Sort -4, -1, 4, n in decreasing order.\nAnswer: 4, n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.028897 kilograms to tonnes.\nAnswer: 0.005028897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 848893 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a + 21*a + 30*a.\nAnswer: 58*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 553 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -60?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41292 - 82162 - 529*j**3 + 41340 wrt j.\nAnswer: -1587*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d - d**3 + 7*d**2 - 5*d**2 - 7*d**2 - 25*d + 6*d**2 - 37 in the form j*d**2 + x + l*d + a*d**3 and give x.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -228 + 625. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/12 + -1)*15\/(-2). Solve -3*x + 2 = -z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 49*m**3 + 804*m**2 + 4676*m + 3920.\nAnswer: (m + 1)*(m + 14)**2*(m + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by 4\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1))**25*k*k*k**(-9)*k*(k\/(k\/k**2))\/k assuming k is positive.\nAnswer: k**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**10*f))**19)**17 assuming f is positive.\nAnswer: f**(-3230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a - 21. Let r be b(10). Let l be 59 - r\/(3\/(7 + -1)). Let v(g) = -31*g + l*g - 31*g. Let d(s) = 12*s**2. What is v(d(u))?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 144 = -11*f. Let t(a) = -a**2 - 8*a - 10. Calculate t(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44386 is divided by 20645.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 - 104. What is the nearest to 0 in -2\/3, t, -4, -1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) + (-7)\/(21\/(-102)). Let h = 16 - 14. Suppose -3*p + 303 = -h*i + 6*i, -5*p + 3*i = -534. What is the greatest common divisor of n and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i - 65923 = -136*i - 87*i - 181*i for i.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/(-9) - (9 - 255\/27). Solve -2*v = -10, 3*f = -0*f - u*v + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8318 and 296926.\nAnswer: 1234915234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 7*n - 8. Let i be a(-8). Let y(k) = 2*k - 15. Let p be y(i). Is ((-72)\/(-10))\/(p\/(-100)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, h: 6, i: 1, u: 2, j: 5, r: 2}. Give prob of picking 2 h and 2 j.\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 50 (c) 0.19 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/54)\/((-85)\/153)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 11512949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**3 + 17*p**2 + 153*p - 44828.\nAnswer: 6*p**2 + 34*p + 153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10614970 is divided by 4140?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1. Let v(s) be the third derivative of s**4\/4 - s**3\/2 + s**2. Let l(c) = -9*j(c) + v(c). Differentiate l(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:39 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 271?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q - q - 25*q to h*q + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -172.1 + 192. Let p = f + -20. What is p rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511480255 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*v - j + 6*j, 2*v = -j + 1. Suppose 0 = -c + v*h + 95, 5*c - 272 = -3*h + 113. 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: Expand (-4*y - 2*y + 5*y)*(-y - 2 + 2) + (4*y - 3*y - 3*y)*(0*y - 6*y + 4*y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -142*v + 142*v + 23*v**3 + (1458*v - 43*v**2 - 1458*v)*(-v + 0*v + 0*v)*(-2 + 1 + 0) in the form p*v + w + o*v**3 + k*v**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 31*a**3 - 4*a**2 - 5*a**2 - 16101 + 16106 - 9*a - 3*a - 32*a**3. Calculate z(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -10, 4, 10, 2, -26?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24336875*a - 1 - 48673753*a + 24336867*a.\nAnswer: -11*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/60 + l**4\/24 - 2*l**3\/3 - 2*l**2. Let t be j(0). What is the units digit of (1 + 1)*(-2)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 133 = 172. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3166606 to the nearest integer?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y**(-7)*y)\/y)*y**(-13\/2) assuming y is positive.\nAnswer: y**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**2 + 0*y - 2*y**2 + 0*y in the form i*y**2 + f*y + b and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23224981 + 9 - (91\/(-7) + 3). Round q to the nearest 100000.\nAnswer: 23200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -837508 less than or equal to -837510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6651*s - 2225*s - 2202*s - 2202*s + s**2 to the form r*s**2 + d*s + k and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26968957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 10 = -4*k - 5*u, -2 = u. Let n be (-1)\/(2\/(-8) + k). Let p be (-32)\/63 - n\/(-14). Which is the second biggest value? (a) p (b) 3\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.86206192 to 0 decimal places.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = -4*f. Let q be 6\/(-10)*(-15)\/(-12). What is the nearest to -6 in f, q, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 - 17*m - 6. Determine k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.54 + -0.04. Let y be 6954\/(-50) - (-4 - -3). Let o = y - -138. Which is the smallest value? (a) o (b) i (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018103 to five dps.\nAnswer: 0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.155, -47, -3, 2, -0.5?\nAnswer: 0.155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4952*i - 49187. Calculate w(-10).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 + 4.5. Let y = 0.9 + -10.9. Let i = z + y. Sort -3, i, -0.1.\nAnswer: i, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0.075\nAnswer: -5.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 725630 to the power of 1\/2, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 327735224 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**2*n*s + 7*h**2*s**3 + 106*h*s**3 + n**2*s**3 - 6*n**2*s**2 + s**3 - 22*s**2 wrt s.\nAnswer: 42*h**2 + 636*h + 6*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 508 or 500?\nAnswer: 500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/3 - 28*d**4 + 6424*d**3 - 597040*d**2\/3 + 110976*d + 41505024 = 0. Calculate d.\nAnswer: -132, -12, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -171ab?\nAnswer: 171ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-6))\/(5\/(-15)). Let f(t) = t**3 - 7*t**2 - 8*t + 7. List the prime factors of f(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157941 divided by 3?\nAnswer: 52647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4669802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11898*q**3*v**2 - q**2*v**2 + 18*q*v**2 + 245*v**2 wrt q.\nAnswer: 71388*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66005 is divided by 230.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1111100000?\nAnswer: 1111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/2, 0.93, -4 in increasing order.\nAnswer: -4, -0.4, 1\/2, 0.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39, -73, -91, -93, -79?\n\"Answer: 8*p**2 - 58*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/9)\/((-1)\/(-6)). Let z(u) = -4*u**3 + 0 - p + 3. Suppose 0 = 40*i - 68 + 108. Calculate z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**2 + 5\/6*d**3 + 0 + 44*d + 1\/20*d**5 + 5\/12*d**4. What is t(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c = i - 94, 4*i = -4. Let a = c + 19. Let k(y) be the second derivative of y**5\/20 - y**4\/12 + y**3\/6 - 3*y**2 + 2*y. Determine k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 1510\/13. Let h = 340.9 + -326. Let n = h + -15. Which is the third smallest value? (a) n (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 214?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0593 and 0.04.\nAnswer: -0.002372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 116. What is the hundreds digit of (35 - o)\/(3\/(-199))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-4 - 0 - (20 - 19))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65222329 to the power of 1\/2, to the nearest integer?\nAnswer: 8076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*s + 2. What is the units digit of -12*(-2)\/(8\/s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098142?\nAnswer: 2, 549071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15360952 by 73.\nAnswer: -210424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 51450 + 13048. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -702971.85 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 296*u - 5488. What is g(15)?\nAnswer: -1048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-210))\/(-2))\/(1228\/127405*166)?\nAnswer: -1\/168","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by (74\/(-148))\/((-1)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.294 and -46.\nAnswer: -45.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2376 by -4.\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8648346*l**4 - l**3 - 113571*l**2 - 12?\nAnswer: 207560304*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 1\/480?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/49, 3\/5 in increasing order.\nAnswer: -1\/49, 3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0)\/(f\/f**(-1\/2))*f\/f**(-2\/17)*(((f\/f**(2\/3))\/f)\/f)\/f)**(-36) assuming f is positive.\nAnswer: f**(1254\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -42, -2, 3, 7 in decreasing order.\nAnswer: 7, 3, -1, -2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = 8*q - 1180. Suppose -4*j = 4*n - q, -n - 4*n = 2*j - 275. Solve 58*o = n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 37*w**4\/24 - 7*w**3\/6 - 8*w**2. What is the tens digit of u(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = -5*i + 18, 0 = -i + 4*m + 7. Let x = -138 + 138. Solve 0*r + i*r - 12 = x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 65. Let v be r(24). Suppose 5*g - 5*d + 5 = 0, -3*g - d = -0*d - v. Solve g*b = -b + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/294 and 151\/462.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139708703?\nAnswer: 17, 2053, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 673200 and 1122000?\nAnswer: 3366000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*6*(sqrt(704) + -2 + 1 + (sqrt(704) + -1 - sqrt(704)) + sqrt(704) + -5))**2.\nAnswer: -4644864*sqrt(11) + 59408640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -224683, -226428, -228175, -229924, -231675?\n\"Answer: -s**2 - 1742*s - 222940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11135168256\/1561 - -7133356. Let r = 2\/223 - y. Which is the third smallest value? (a) 10 (b) 0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 5. Let n(v) = -v - 2. Let p(w) = -2*n(w) - q(w). Give p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 43468, 173905, 391310, 695689, 1087048, 1565393?\n\"Answer: d**3 + 43478*d**2 - 4*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (156\/390)\/((32\/8)\/(5\/2))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -855*t - 947*t - 484*t + 179*t.\nAnswer: -2107*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**6 + 195*q**4 - 25*q**2 - 6*q.\nAnswer: 240*q**3 + 4680*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**2 - h - 5. Let m be u(5). Let a be ((-27)\/(-2))\/((-19)\/(-266)). Which is greater: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h. Let r(v) = 19*v. What is -6*r(b) + 13*y(b)?\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*x - 71*x**3 + 40*x**2 + 99*x**3 + 3*x**4 - 7*x**4 - 26*x.\nAnswer: -4*x*(x - 8)*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*p - 236*p - 42 = 231*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1223261*0.2\nAnswer: 244652.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(171) - sqrt(171))*3 - (sqrt(171) + (-6*sqrt(171)*5 - sqrt(171))))\/((3*((-1*sqrt(99) - sqrt(99)) + sqrt(99)))\/(sqrt(275)*-3)))**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 2*m)*(-2*m**2 - m**2 + 2*m**2 + (-1 + 0 + 3)*(-3 + 3 + m**2)) + (0*m - 33*m - m)*(m**2 + 0*m**2 + m**2).\nAnswer: -69*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18.6 (b) 1216 (c) 2\/5 (d) 13\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6\/5, 66, -40, 0.2.\nAnswer: -40, -6\/5, 0.2, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x + 16*x + 16*x - 8 + 3*x + 40*x to r*x + u and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-4 - (5 + -4))) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, l: 3}. Give prob of sequence ll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-264))\/(((-23)\/(-207))\/(((-12)\/9)\/(-2))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**4 - z**3 - z + 1. Let j(t) = 24*t**4 - 8*t**3 - 20*t + 10. Let q(f) = j(f) - 7*k(f). What is the second derivative of q(v) wrt v?\nAnswer: 120*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-50)*(-3660)\/488)\/(1*15\/(-370))?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 - (127 - 90).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*1)\/(sqrt(216) + sqrt(216) + -3*sqrt(216) - sqrt(6)).\nAnswer: -sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/((-4)\/2) + (30 - 34). Let n(u) = u**2 + 3*u - 3. Let o be n(-4). Let f = v + o. Solve 0 = -f*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 3}. What is prob of sequence xax?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.97 - 1.03. Put 0.4, -0.18, o, 0 in decreasing order.\nAnswer: 0.4, 0, -0.18, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+-2615.6082\nAnswer: -2610.6082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 + -1 + 2 + -3. Let o(k) = -k**2 + 12*k + 2. Let a be o(n). Suppose -a*h = 3*x - 4*x + 29, -65 = -3*x - 5*h. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 303\/((-4653)\/(-363) + (-4)\/(-22) + -10).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -530 (b) 6 (c) -96\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0. Let c be (-17 - (-4 + -6))*(-1 + 2). Put c, -3, r in decreasing order.\nAnswer: r, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 13*o**2 - 22*o + 6. Let k be r(15). Suppose 0 = 108*h - 105*h - k. Calculate the smallest common multiple of h and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 152 = 6*s. Let l = 60 + s. What is the lowest common multiple of l and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdr. Give prob of picking 1 x and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, t: 2, n: 2, v: 1, e: 3, k: 3}. Give prob of sequence nle.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 1 - 1)*(5*p - 2*p - 5*p)*(174*p**3 + 207*p**3 + 978*p**2 - 981*p**2).\nAnswer: -1524*p**5 + 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20836.\nAnswer: 2, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 78.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 442 + -496. Is (-19428)\/i - (-12)\/54 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 13 + 9\/(-18)*60\/(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*s + 805, -2*k + 810 = -5*k + 3*s. Let p = 461 + k. Suppose 36*h - 28*h - p = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47107 is divided by 9411.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.73066g in tonnes?\nAnswer: 0.00000973066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 2 (c) 41 (d) -25\/2 (e) 2\/3 (f) -0.102\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -186 + 384. Let j(g) = -2*g - 14. Let u be j(-6). Let a be (243\/(-27))\/(-1*u\/(-4)). What is the highest common factor of a and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*m**4 + 52*m**3 + 188*m**2 + 108*m.\nAnswer: -4*m*(m + 1)**2*(7*m - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (9 + (9 - 1) - 12)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.0751218 to one dp.\nAnswer: 12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. Suppose -16 = -3*j + 2*u - 5, 2*j = 4*u + 10. Let g(f) = -6*f**2 + 3*f**2 - j*f**2. Calculate g(r(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 + 25*g - 23. Let w(h) = -5*h**2 + 24*h - 24. Let j(f) = -7*k(f) + 6*w(f). Let b be j(-16). What is the nearest to -1 in -0.1, b, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 5 - 6)*(-21 + 4639718*m + 62 - 4639561*m) in the form a + w*m and give w.\nAnswer: -785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217383407*n**2 - 3308*n - 6056 wrt n?\nAnswer: -434766814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2 + 4*i**2 + 0*i**2 + 4*i - i**2 - 4*i**2. Let c be s(2). Suppose -c*h + h - 28 = -5*m, -h - 16 = -3*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l*t**4 - 3*l*t**3 - 2*l*t**2*w + 5*l*t**2 - 2*l*w**2 + 7*l*w - 664*t**4*w**2 + 4*w**2 wrt t?\nAnswer: -48*l*t - 18*l - 15936*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 66*z + 542. Calculate k(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1092)\/(-9) - 4\/12. Which is bigger: b or 119?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 6. Let s(u) = -u**2 - 1. Let j(r) = 6*s(r) + t(r). Let m = 11 - 9. Let b(q) = 4*q - 2*q - 2*q + m*q. Calculate j(b(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 328675523?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 7:55 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1061, -2119, -3177, -4235, -5293, -6351?\n\"Answer: -1058*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/35 - -33\/35. Let w = -253 - -505\/2. Which is the closest to -9? (a) w (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4618645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(68)*1)\/sqrt(4) + 3 + (sqrt(34)\/(-1*sqrt(2)) - (5*sqrt(102)\/sqrt(6) + sqrt(17))))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**6*t - 1852*d**3*t**3 + d**2*t**3 - 5405*d**2*t wrt d?\nAnswer: -120*d**3*t - 11112*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**2 + 129*p. Let r(j) = -5*j - 517. Determine r(a(n)).\nAnswer: 25*n**2 - 645*n - 517","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -8*m + 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t = 38*t - 20075. Let v = -10715 + t. Round v to the nearest 100.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmwmmmmwmmmmmmmmmm.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-765)\/(-6426)*4\/(280\/63).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((1 + 1)*1). Let d be ((-4)\/1)\/(3\/(-12)). Solve n = m + 3*m - d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b = -1242 + 1225 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 684 in -2\/13, 0, 3\/52, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 251*j - 28*j + 62*j + 23*j + 372*j. Let h(g) = g. Give h(o(w)).\nAnswer: 680*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 13*h**2 - 10*h - 17. Let b be m(-7). Solve 4*p + 0*o = -b*o + 12, 5*o + 3 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(176) + 1*sqrt(176) + sqrt(176) + -2) + -4 + (sqrt(176) - (sqrt(176) + 2)) + -3*sqrt(176)*-6)**2*6.\nAnswer: 2016*sqrt(11) + 10680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1274229094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - -2.4. Let k = 1 - i. Let j = 1.4 + k. Round j to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22381905.\nAnswer: 3, 5, 7, 13, 19, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 - -102. Put 7, h, 1\/11, -3 in ascending order.\nAnswer: -3, 1\/11, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + 0 + (-33 - -77) - (-6 - -10).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1128 and 52593?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0 + 0 + 1. Suppose s*b = -d - 2*b - 21, -4*d - b + 11 = 0. Suppose 3*a = 2*l - 306, 427 = d*l + 5*a - 185. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-8))\/((-380)\/3648)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -430 + 253?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2232, 4244, 6044, 7644, 9056?\n\"Answer: 2*f**3 - 118*f**2 + 2352*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 - 46*x**2 - 13*x + 30. What is m(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from fsffsffbnbnsbbb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1145 - -1150. What is the closest to 2\/17 in p, 2\/5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 6*a + 5. Let h(x) = -x**2 + 12*x - 3. Let k be h(11). Calculate the remainder when n(k) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 14, p: 5}. What is prob of picking 2 w?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011000000101100011001 (base 2) in base 6?\nAnswer: 141511025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 4*k + 29 + 18 + 32 - 55, -4*l - 304*k = -1256 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71567210 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/21)\/(360\/(-1260)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + -1 + -3 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22857.\nAnswer: 3, 19, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z - 0*z. Suppose 5*g - 30 = -5*n, -n + 3*g + z = -g. What is the smallest common multiple of 8 and (-156)\/(-15) - 2\/n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 20 + 1 + 5 - 16*j - 1. What is the remainder when x(-16) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2641188872 to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4464\/(-324) - (-5 + (-188)\/(-36)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2847280*c - 2847445*c + 5694730*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 12) in base 10?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*z - 10 = 0, 5*z = -a - 3*a + 33. Let v(d) be the second derivative of -d**a + d + 0 - 1\/6*d**3. What is the derivative of v(g) wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2*h**5\/5 + 7*h**3 - 70*h + 54. Find the first derivative of r(j) wrt j.\nAnswer: 8*j**3 + 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -7 + (56 + -60 - -7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4*c + w - 2 = 0, 4*w = 3*c - 25. Solve 0 = 3*y - c*z - 9, -3*y - 3*z + z = -9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (1*12\/(-6))\/((-20)\/(-8)). Let k be (-90)\/(-27) + (-1)\/3. Are b and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a1b (base 13) to base 6\nAnswer: -243251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -85*g - 1261. Let w(f) = f**2 - 8. Calculate w(q(l)).\nAnswer: 7225*l**2 + 214370*l + 1590113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -5*x + 46, 18*x + 20*x + 23*x + 20*x = 79*x + n + 22 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2925 and 4725.\nAnswer: 61425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/660 - 749*g**5\/330 - 17*g**4\/3 + 1051*g**2. Find q, given that y(q) = 0.\nAnswer: -748, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from wtyttyyyyyt.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.9 + -3.1. Let n = -18.0000104 - v. What is n rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)*f*f*f)\/f*f\/(f*f\/(f**6*f))*f*f**(7\/6)*f\/(f*f**(6\/5))*f*f assuming f is positive.\nAnswer: f**(317\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/9 and -17\/3447?\nAnswer: 3447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-441)\/(-180))\/(-49) + (-954)\/120\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 3:48 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9567863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -40) + 8 + 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*b = 12 - 1022, -y + 4*b = -508. Which is smaller: y or 5484\/11?\nAnswer: 5484\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - 6*s + 0*s)*(-37 - 67 + 10 + (-1 - 3 + 5)*(1 + 0 + 1) + 3 - 6 + 1 + 0 + 0 - 2) as v + w*s and give w.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -2\/5 (b) 2\/3 (c) 21\/34 (d) 725\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (-6 + (15 - -2 - 21))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + 91. Let f be ((-2*5\/15)\/(-2))\/(3\/(-1035)). Let o = v + f. Solve -o - 3 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 5*h**4\/12 + 31*h**3\/6 - 5*h**2 + 7419*h. Let w(g) = g**2 + 6*g - 2. Give -2*v(t) + 11*w(t).\nAnswer: t**2 + 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.7, -2\/27, -1, -1\/6.\nAnswer: -1, -1\/6, -2\/27, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 20*u**2 + 3*u. Let b be z(-2). Suppose i = -5*x + 158, -2*i - 2*i = 2*x - b. Does 27 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -571505693*c + 201614606 with respect to c.\nAnswer: -571505693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -10) + (-8)\/2. Let g be 4 - (3 - 76\/s). Calculate the highest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23218 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 19. Is k not equal to -2.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/5)*q)\/q**(-2)*(q**(1\/4))**(8\/17))\/((q**(-1)*q*q*q**(3\/5))\/(q**(3\/8)*q**(-1))) assuming q is positive.\nAnswer: q**(743\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1050 by -350.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205a03 (base 11) to base 13.\nAnswer: b7264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**2*j**(1\/4))\/((j\/(j*j*(j\/((j\/j**(-5))\/j*j)*j*j)\/j))\/j*j*j**(2\/5)) assuming j is positive.\nAnswer: j**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbb. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 24 = 2*o, 3*d - 108 = -o - 80 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2 + 20. Suppose 2*i - o*i = -s + 29, -5*s + 235 = -2*i. Suppose 4*v = 2*j - 30 - 6, 3*j - 5*v - s = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**3 - q**2 - q. Let i be b(-1). Solve -i*f = -0 - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1559*l - 1588*l + 348 = 0 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**5\/3 + 11286*t**4 + 143312446*t**3\/3 + 143244734*t**2\/3 - 47770816*t - 143278592\/3 = 0.\nAnswer: -8464, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*l**2 - 11*l**2 + 113*l + 47*l**2 wrt l.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 6*c**2 + 2*c - 10. Let d(v) = 4*v + 1. Let z be d(8). Let f = -26 + z. What is the units digit of y(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -1e?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.224 and -0.41.\nAnswer: -0.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11460 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from bbpbfrrrrspvrrb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -21, -7, 29, 93, 191, 329, 513?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwffkfffwffwfwkwkkf. What is prob of picking 3 f and 1 k?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 484 - -120. Let m = i + 92. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*h + 122, 3*h = -4 - 5. Suppose 3*m + 5*d = -50, -3*d = -0*m - m - 12. Let x = 5 - m. What is the least common multiple of w and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 415 + 222 - 637 + 24*n.\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1454, -1438, -1396, -1316, -1186, -994, -728, -376?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -81*g + 4. Let k(o) = 74*o - 3. Let h(m) = 3*f(m) + 4*k(m). Let d(t) = -4*t**2. What is h(d(v))?\nAnswer: -212*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*k - 2\/5*k**2 + 8\/15.\nAnswer: -2*(k - 1)*(3*k + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h + 3*r + 12, -h + 8 = -5*r. Suppose -3*k + p + h = -2*p, -5*p = k. Solve 5*z - 35 = -5*f, -2*f + 2*z = k + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -1\/30*u**5 - 1\/24*u**4 - 1\/120*u**6 + 0*u**3 + 2*u**2 + 0 + 0*u. Suppose i(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u + 1. Suppose 0 = 3*g - 4*v - 29, -10 = v + v. What are the prime factors of b(g)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/21*2359\/1011?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f**2 + 2*f**2 + 4*f**2)*(0*f + 0*f + 2*f) + 27*f**3 - 65*f**3 - 24*f**3 as g*f**3 + c + t*f**2 + l*f and give g.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -247.9 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4 + 122*i**2 + 360*i = 0. What is i?\nAnswer: -5, -4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-3) + (-342)\/(-54). What is the tens digit of -11*4\/x*-214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 - 38*h - 1. Let k(t) = 2*t**2 + 20*t. Calculate 5*k(z) + 3*l(z).\nAnswer: z**2 - 14*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(-2*h + 3*h + 0*h) + (1 - 2 + 0)*(-5*h - 3*h + 5*h) - h + 4 - 4.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -904*v + 901*v + 2 = 2*t, -3*v - 3*t = 3. Factor 0 - 1\/2*s**2 - v*s.\nAnswer: -s*(s + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -131 and -12747.783179312?\nAnswer: 12616.783179312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -9171.\nAnswer: 36684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 404674?\nAnswer: -404668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from ffffffdd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 99500.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-48652)\/(-14) + (-60)\/210 + (-2)\/(-14) is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/28049 and 145\/72126?\nAnswer: 504882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/8 and -41\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/153647 and -4\/555493.\nAnswer: 7221409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 29 (b) 0.4 (c) -47002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.439308 rounded to two dps?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 = 4*g - 5*g, 9 = 2*g + h. Suppose -g*m + 3032 = -488. Round m to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ootnppnnncnnntnno. What is prob of picking 1 p and 3 n?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*r**2 - 5*r - 227*r**2 + 2*r + 3*r + 6424*r**2.\nAnswer: 6516*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008742693886 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -766*v**2 + 2*v - 22570.\nAnswer: -1532*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j - 30 = 0. Suppose -3*h - 3 = -j. Solve 11 = 5*u - h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 4*s - 0*s + 24, -s - 2*g - 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(5) - sqrt(2) - sqrt(2)) + -2.\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271236 is divided by 135607?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 2*p**4 - 1\/3*p**6 - 3*p**2 + 0*p**5 + 51 + 4\/3*p**3 - 4*p. Let k(f) = 0. What is f?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 346*y + 329*y**2 - 346*y + (0*y - 3*y + 5*y)*(0*y + 2*y + 2*y).\nAnswer: 337*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 19 - 28)*(-2*g + 5*g - 4*g)*(-4*g + 3*g + 3*g)*(-g + 0*g - 4*g).\nAnswer: -330*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 276a6 - -9?\nAnswer: 27704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11665417 is divided by 2333082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -301 divided by -6\nAnswer: 301\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*w + 4791 = -18*w - 341*w + 13812 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 0*f**4 - 41\/336*f**8 + 1\/15*f**5 + 0*f**7 + 0*f + 1 + 0*f**6 + 12*f**2 - 5\/6*f**3. Find the third derivative of q(o) wrt o.\nAnswer: -2460*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15117 - -15117.69864. Let f = v - 0.928635. Let t = f - -0.23. What is t rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4692 and 276.\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a kilogram in grams?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 divided by 2?\nAnswer: 337\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 11. Suppose -w = -k*w - 3. Is w >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -3. Let i = j + 1. Let c = 6 + -10. What is the closest to i in 3, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 271\/4. Let s(m) = -m**3 + 2*m**2 + 3 - 3. Let w be s(2). Which is the third smallest value? (a) w (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrzz when four letters picked without replacement from {z: 4, r: 2, v: 1, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + v - 2*v + (-5*v + 3*v + 0*v)*(-2 + 1 - 1) as y + t*v and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3059 + 3059.2. Which is the nearest to -5? (a) 0.3 (b) o (c) -2\/7 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 + 8*i**2 + 154 - 470 + 159.\nAnswer: 8*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1262, -1887, -2938, -4415, -6318, -8647?\nAnswer: -11402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1081904 and 72.\nAnswer: 9737136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37141667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1877 (c) 1 (d) 0 (e) 1\/4 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*z + 632*z + 3*f = -69, -3*z + f = -34 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 13244c7?\nAnswer: -13244bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 0)*(-2*u - 3*u + 3*u) + 5*u - 3*u - 3*u - 7*u + 46*u + 4*u)*(1 - 3 - 3).\nAnswer: -190*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 2*w - 3*w. Let c(b) = 1. Let x(p) = -c(p) - k(p). Let f(j) = j + 2. Determine f(s) + 2*x(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5624637008 to two decimal places.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1 - -1*3). Let x(u) = 3*u + 17. Let z(d) = 2*d + 8. Let q(h) = 3*x(h) - 5*z(h). Is q(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(8\/15)*y\/y**36*y*y\/y**(5\/6)*(y*y**(-4\/29)\/y*y)\/y*y assuming y is positive.\nAnswer: y**(-9407\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*sqrt(95)\/sqrt(5) - (((sqrt(19)*2*6)**2 - sqrt(19)) + 5).\nAnswer: -2738 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1\/2 (c) -3749 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197087067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**1\/i*i*i\/((i*i**(-2\/3))\/i)*i*(i\/(i\/i**(-1)))\/(i\/(i**1\/i))*((i\/i**(-4))\/(i*i\/(i**(1\/4)\/i)))\/(i**(2\/7)\/i)**(2\/33) assuming i is positive.\nAnswer: i**(3659\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*r + 19 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 2}. Give prob of sequence ks.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 809839?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*t + 3861 - 1851 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -6, -0.16, -4, 0.04?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 12. Let j(v) = -v**3 - 27*v**2 + v + 36. Let x be j(-27). Determine i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Let t(g) = g - 2. Let n(c) = -c + 3. Let j(l) = 3*n(l) + 4*t(l). Let u(d) = -2*d - 1. Let o(m) = -2*j(m) - 2*u(m). Calculate h(o(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4*w + 0)*((2*w**2 + 2*w**2 - w**2)*(-4 - 9 + 2) + 5 - 5 + w**2) - 2*w**3 + 3*w**3 - 5*w**3 as o*w**3 + v*w + z + r*w**2 and give o.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 443865 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 59\/2. Sort -0.02, 4, i in descending order.\nAnswer: 4, i, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 34843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-10 - (-7 - 10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2. Let r(j) = 2*j**2 - 89. What is s(r(l))?\nAnswer: -4*l**4 + 356*l**2 - 7921","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 1727874095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -19*i**4\/12 - i**3\/6 + 4*i**2. List the prime factors of w(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6439590 is divided by 14215?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 31 = -u, -4*r + u + 583 = 606. Put -1, 4, -46, r in increasing order.\nAnswer: -46, r, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(110)\/sqrt(18) - sqrt(55))\/(sqrt(5)*1*3) - ((sqrt(396) + ((sqrt(396) - (1 + sqrt(396) + sqrt(396))) + sqrt(396) - sqrt(396)))**2 + -2)*-5).\nAnswer: -10 - 4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 + -795\/11. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3778250292 to the nearest integer?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*x - 77*x = 642. Factor -x*l - 1263 - 925 + 331*l - 4*l**2 - 948.\nAnswer: -4*(l - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:46 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.35 + -0.05. Let o = -10 + 15. Is q != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r + 15. What is the remainder when i(0) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -5\/6, 2635?\nAnswer: 2635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 828 divided by 3?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13102133 (base 5) to base 12\nAnswer: -62396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 3 - 1039\/(-1036). Let f = y - 21789\/11396. What is the common denominator of f and 2\/(-2) + (-48)\/(-10)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 665407 + -25?\nAnswer: 665362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8681685013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*m + 7773 = 0, -d - 2*d - 3*m + 7779 = 0. What are the prime factors of d?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/7 - 80*o**3 - 1650*o**2\/7 + 3340*o\/7 + 4432\/7 = 0.\nAnswer: -277, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -s - h - 17, 7 = 4*s - 5*h. Let o(w) = w**2 - 9*w - 2. Let z be o(9). Does s = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*f + 798, -674 = 3*f - 2*s + 144. Let a = f - -272. Which is smaller: a or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i*s**2 + 411*i*s + 28*s**2 wrt s?\nAnswer: -6*i + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1260 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 9:41 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 10011110?\nAnswer: -10011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.89157598 to 1 dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 7:24 PM?\nAnswer: 334","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose -3*z - x = -4*z. Let p(o) = o**2 + 4*o + 2. Let b be p(-4). Solve b = -z*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2. Let v(i) = 638*i - 7*i - 170 + 170. Give v(o(u)).\nAnswer: 3786*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(-9*g + 11 + 7 - 16) to the form z*g + s and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31098, 31093, 31086, 31077?\nAnswer: 31066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1675 and 6375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, v: 7, y: 1}. What is prob of picking 3 v and 1 d?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14815*d**4 - 29*d**3 - 404*d**2 + 748969421*d wrt d?\nAnswer: 177780*d**2 - 174*d - 808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 4:48 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 4*a + 7. Let g be m(-3). Solve -g*j = 1 - 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*n + 5272, 7*n - 3*n + 7943 = 3*h. What is the greatest common factor of h and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15921216 divided by -1899.\nAnswer: 8384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 2590\/84 - (-2)\/6.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5928954 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 1. Suppose 7*h + 5*a + 24 = 9*h, 4*h = -2*a. Suppose -3*g = -h*g + 4*s - 22, 5*s = 25. What is z(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 9*j + 6036. List the prime factors of j.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3*y**3 - 5*c**3 - 19343*c*y**4 + 1361 wrt y?\nAnswer: -6*c**3*y**2 - 77372*c*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -88717*b. Let l(i) = 190*i. What is q(l(m))?\nAnswer: -16856230*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 16. Let r be (-3 + 3)\/(1 - -1). Factor -2*g + 0*g**4 + r*g**4 + v*g**2 - 4*g**4 + 2*g**5.\nAnswer: 2*g*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-1 - 0) + 0). Suppose -2*m + 8 = -y - 1, a = -3*m + 4*y + 26. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5377163368 to the nearest integer?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -933\nAnswer: 2\/933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*o**3 - 134*o**3 + 64*o**3 + 4 - o**3 - o**3 + o**3 + (0*o**2 + 2*o**2 - 4*o**2)*(0*o - 3*o + 4*o))*((2 + 3 - 7)*(0 - 3 + 1) - 10 + 71 + 98).\nAnswer: -1630*o**3 + 652","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 42*l**2 - 1 - 10*l + 2.\nAnswer: -42*l**2 - 10*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 49*m**4\/6 - 493*m. Let f(o) = -3*o**2 - 12. What is s(f(x))?\nAnswer: 882*x**4 + 7056*x**2 + 14112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = -25*n + 186 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 39*m**2 + 30*m + 139. What is the units digit of c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 3:54 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 3)*(-1 - b + 1)*(-b**2 + b**2 - 3*b**2).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 37*j - 879. Calculate the remainder when a(28) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**2\/15 - 3838*k\/5 - 5758\/15 = 0.\nAnswer: -1\/2, 2879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*w = -0*u + 66, 5*u + w = 72. Suppose -3 = u*h - 115. Calculate the remainder when 29 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37231358, -37231357, -37231356?\n\"Answer: w - 37231359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + 25*w + 20. Let d(q) be the third derivative of q**5\/60 - 13*q**4\/24 - 5*q**3\/3 + 7*q**2. Let k(z) = -11*d(z) - 6*j(z). What is k(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 31\/2, -0.3, 0.38 in decreasing order.\nAnswer: 31\/2, 1, 0.38, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -5 + -12 - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285778 to the power of 1\/2, to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*k = -393*k + 598265. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.247 and -144.24.\nAnswer: -142.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -362946 divided by 753.\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -0.3. Let n = 0.606 - 1.606. What is the second smallest value in n, -0.4, -0.6, d?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58369873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016401 to 4 decimal places.\nAnswer: 0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (44\/8)\/(1\/6) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**3 + 4*v - 16. Let o(q) = -q**3 + q - 2. What is -f(j) + 5*o(j)?\nAnswer: j**3 + j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 253948, 2030543, 6852748, 16243369, 31725212, 54821083, 87053788, 129946133?\n\"Answer: 253801*h**3 - h**2 - 9*h + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2.8. Let j(h) = -h**3 - 21*h**2 + 46*h + 9. Let x be j(-23). Which is the smallest value? (a) x (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 504923721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 1375853*f + 1375851*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 0*k**2 - k**3 + 0*k**2 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -41*j**3\/6 - 11*j**2\/2 + 16*j. Does 7 divide w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 186 in -0.4, 6, -2, -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1253590, 5014369, 11282336, 20057491?\n\"Answer: 1253594*y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 2475?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 2. Let q(v) be the second derivative of v**4\/12 - 431*v - 1. What is j(q(i))?\nAnswer: 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(847)*-1 + sqrt(847).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 25 - 43 + 18.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 + -138. Which is the third biggest value? (a) 0.3 (b) 8 (c) 3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37359 and 53370.\nAnswer: 373590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 164267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52310 - -2?\nAnswer: 52312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 14928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714270.\nAnswer: 2, 3, 5, 29, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w - 24*w = -2*p + 23*w + 251, 0 = w - 1 + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*s = 11 - 117, 5*s = 5*c + 140 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*f**2 - f - 8*f**2 - 8*f**2)*(0 - 2*f**2 + 0)*(-f + 4 - 4).\nAnswer: 4*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1783, 2148, 2423, 2608, 2703?\n\"Answer: -45*n**2 + 500*n + 1328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*q - 1934 + 1310. Which is the second smallest value? (a) q (b) 0.9 (c) 3\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-5) - (-77)\/(-35)*-1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129168 rounded to the nearest 100?\nAnswer: 129200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/5 - (-3)\/(-15). Let c = 5 + p. Let l be -2 + (-6)\/(-10)*(-10)\/(-3). Solve 4*y + 0*z = -2*z - 20, l = c*y - 5*z + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -14 + 4. Solve 0 = -3*k - 4*y - 5, 5*y + 5 = -3*k - h*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222069993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-3)\/(-2))\/((-96)\/64)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 + 27*z**2 - 3877*z - 27092. What is b(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/16)\/((-1)\/(-6)). Suppose -2*n + 7 = -h*n. Let x(p) = 9*p**2 + 7*p + 11. Let w(i) = 5*i**2 + 4*i + 6. Determine n*w(b) + 4*x(b).\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 1608.8\nAnswer: 4826.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -9 + -3 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1050\/(-147)*59\/(3776\/(-672))*(-4)\/6.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/10 and 7\/373985?\nAnswer: 747970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 19. Let l(c) = -8 - 4 - 2 + 1. Let j(y) = -5*f(y) - 7*l(y). Let b(h) = -h - 2 + 6*h - h - 3*h. Determine 4*b(z) - 2*j(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29342*q**6 + 7*q**5 - 3*q**3 + 286349*q**2 - 3 wrt q.\nAnswer: 3521040*q**3 + 420*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 15*i. Solve 0 = -l - 1 + 6, i = 5*k + 4*l - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/105 - 13\/(-5). Find n, given that -75\/4*n**3 + 6 + 105\/2*n**o - 33*n = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 115 = -4*a + 4*s, -5 = -a - 4*s. Suppose -v - 3 = -a. Suppose 5*j - 17 = -c, 3*c - 5 = -4*j + 13. What is the least common multiple of v and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -857*v**2 + 45*v**4 + 857*v**2 + (-4*v**2 + 5*v**3 + 4*v**2)*(-2 - v + 2).\nAnswer: 40*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*z + 2390008 = z, 0 = 5*m - 2*z + 2390004. Round m to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10720 - -3.3077415?\nAnswer: -10716.6922585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -2*v**6\/15 + v**5\/10 + 355*v**2\/2 - 117*v. What is the derivative of h(w) wrt w?\nAnswer: -16*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2 - 3*a + 4*a)*(3*a - 4*a + 2*a).\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + -6 + (0 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.73 + 0.78. Let v = 2 + o. Let a = v - 0.04988. What is a rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 32. Let t be (-4)\/(3*(-12)\/27). Calculate the highest common divisor of t and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011001100001 + -101?\nAnswer: 1010011001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -11*l**5\/5 + l**3 + 41*l + 101. Differentiate o(p) with respect to p.\nAnswer: -44*p**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 549, 1096, 1643, 2190, 2737?\nAnswer: 3284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -20*b + b**3 + 13 + 5*b**2 + 5 + 17*b. Let j be y(-6). Does 5 divide (j*(-1)\/4)\/2 + 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-32))\/(43\/(3956\/138)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/3 - 12332*t**2\/3 - 25346200*t\/3 - 17364730000\/3 = 0?\nAnswer: -2066, -2050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*f + f**3 - 16*f - 14*f - 1 - 6*f**4 to the form q*f**2 + t + l*f**4 + s*f**3 + v*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27372? (a) 2\/9 (b) 0 (c) 0.444 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*j + 234279 + 226844. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9202906*l*o**2 - 170*l*o + 13115*o wrt o.\nAnswer: 18405812*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*m - 2*t, -2*t = 4*m + 2*t - 76. Let a(r) = 2*r**2 - 40*r + 18. Let y be a(m). What is the lowest common multiple of (-2)\/8 + (-7 - 345\/y) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4022 (base 12) to base 15\nAnswer: -20c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 0.269516 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-1)*2\/(-3)*(-492)\/1312\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 21099144?\nAnswer: 105495720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -103080*a**2 - a + 43931. Let r(k) = -7363*k**2 + 3138. Let y(f) = -2*h(f) + 29*r(f). What is the second derivative of y(i) wrt i?\nAnswer: -14734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*a**2 + 13*a**2 + 18*a + 13*a**2)*(0*a - 3*a + 2*a).\nAnswer: 2*a**3 - 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = -0*n. Suppose 3*g + n = 7. Determine d, given that -d**5 + 2*d**g + d**3 - 2*d**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16902 is divided by 1006.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16551136.35 seconds in weeks?\nAnswer: 27.366296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - -6) + 345 + -358 - -13) + 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2440305 (base 6) to base 4.\nAnswer: 133222301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 2239*i**2 - 250432*i + 50176.\nAnswer: -(i + 224)**2*(5*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*l**2 - 85*l + 70.\nAnswer: 5*(l - 2)*(5*l - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 105592238 to the power of 1\/3, to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7 - 103514489644.\nAnswer: -103514489645.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7664 - -236?\nAnswer: -7427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*y - 14 = 0, 4*y = -0*g + 3*g - 11. Let m be 1 + -6 + (4\/g - -1). Solve 8*f - 7*f + 5 = m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/621 (b) 13 (c) -1\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 8. Let v(w) = w**2 - w. Let i(s) = v(s) + z(s). Let d be i(4). Find a, given that d*a - 3*a**2 + 0*a - 6*a = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-511)\/(-490) - (9\/(-15) - -2))\/((-2)\/7)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39382 = -13*q + 262725. List the prime factors of q.\nAnswer: 17, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -n + 19, -2*c - 3 - 2 = n. Solve -19 + 4 = n*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 14*l + 6. Let g = -1 - -18. Let k be z(g). Suppose 4*b = -20, -5*i = 3*b - k - 923. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 4 + (0 - 3 + 4)*(-3 + 3 - 2))*(-1 + 1 + 1)*(-3 + 3 - 3*k - 2*k + 0*k + 0*k + (4 - 3 + 1)*(4 - 4 - k)) - 3 + 2*k + 0*k - 6.\nAnswer: 79*k - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.135 + 72.135. Let i = t + -39. Let h = 33.5 - i. Which is the closest to -1\/2? (a) 1 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -17*d**7\/42 + d**6\/30 - 5*d**3\/6 - d**2\/2 + 90*d. Find the second derivative of t(h) wrt h.\nAnswer: -340*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 3. Let p be u(-5). Let o(m) = -m**2 - 11*m + 6. Let k be o(-11). What is the third derivative of -9*g**5 + 9*g**5 - 6*g**5 + k*g**p wrt g?\nAnswer: -360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -13*m**3 + 8*m + 3. Let n be t(-3). Let g be ((-6)\/4)\/(11\/n). Let j be (-1)\/(-3) - 210\/g. Solve 4*l = j*c + 11, -5*l - 11 = -3*l + 3*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u + 3*z - 10081 = 0, 4*z = 8. Suppose 26*k = 2587 + u. What are the prime factors of k?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + x = -29535. What is the remainder when x is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6623920 is divided by 515.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*z - 26 + 234 = -2492 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113860 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/107164939 and -18\/7.\nAnswer: 107164939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34562)\/(-16) - -8*(-4)\/256. Let c = u + 1527. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 19 + 0*c**2 + 78 + 5*c**2.\nAnswer: 4*c**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 (base 8) in base 14?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*p - 56 = 23*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 7*a**2 - 7*a + 10. Let i be h(8). What is the highest common factor of i and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74418 times 63.8?\nAnswer: 4747868.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - v = -24, -2*v + 7*v - 40 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 7125 = 2*d + 108*d for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1044072*c**3 + 181*c**2 - 469.\nAnswer: 6264432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(153)\/sqrt(9) - sqrt(17))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 q when four letters picked without replacement from vvvqvvqvvvvvvvvvvvv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -1. Let d = 0.7 - -0.3. What is the nearest to 0 in d, -2, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*f - 57858, 12*t = 7*t + 3*f + 57857. List the prime factors of t.\nAnswer: 2, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((9\/(-21))\/((-1044)\/21518))\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 290, 451, 712, 1073, 1534, 2095, 2756?\n\"Answer: 50*z**2 + 11*z + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 10*c + 11. Let i be m(9). Factor -2*n + 2*n**3 - n**4 + 52 - 52 + n**i.\nAnswer: -n*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19035176?\nAnswer: 2, 2379397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 56*x + 23*x + 31*x. Let t be f(1). Suppose n + 4*n = t. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {j: 1, a: 3, e: 5, c: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 362946.498 rounded to the nearest one thousand?\nAnswer: 363000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 921576.4 micrometers?\nAnswer: 0.9215764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + -31. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -776, -753, -710, -641, -540, -401, -218?\n\"Answer: r**3 + 4*r**2 + 4*r - 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.04, -25, 0.6, 0.2, -1\/4, 0.5, -4.7?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19*1.83\nAnswer: 34.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 198 = -20*p - 3*i, -3*p + 4*i = -61 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1669\/6 or -774?\nAnswer: -774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g + 2. Suppose 2*q = -8*q + 330. Let u = -4 + 2. Let y(l) = 48*l + 33. Calculate q*i(m) + u*y(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4. Let y(i) be the first derivative of 2*i**3\/3 - 3*i**2\/2 - 4*i - 2. What is y(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5319 = -0*r. Let h = 21325\/12 - r. Calculate the common denominator of h and 37\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/3, -5, -0.7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300743379 to the power of 1\/2, to the nearest integer?\nAnswer: 36066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02787 less than -170045981?\nAnswer: -170045981.02787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 844*m**3 - 855*m**3 - 818*m**3 - 4*m**2 + 2474*m**3 + 2.\nAnswer: -43*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b + 4 - 2*b - 3. Let w be n(-3). Solve -f + 8 = f + 2*k, 0 = 4*f - 3*k + w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 3*q - 2. Let k be u(-4). Suppose -k*d = -0*d - 12. What is the remainder when 23 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from addlaymdddadiyymdd?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -17*u - 5. Let d(m) = 6*m + 2. Let s be -7 - 1\/(-3)*(0 + 9). Calculate s*p(t) - 11*d(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -51 (b) 3 (c) -816255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00163120398 rounded to seven dps?\nAnswer: 0.0016312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*q - 0*u + 3*u, 0 = -4*q - 2*u + 42. Suppose -20 = -q*c + 3*c. Let o be (-6)\/c*12\/(-63). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/18 - (-2)\/(-3). Suppose 4*q = 16, q + 67 - 71 = 4*y. Solve c*d = -3*u + 15, y*d - d + 6 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/((-204)\/16). Suppose -w - 6 + 1 = -i, i = -3*w + 5. Let r = -1 + w. Which is the smallest value? (a) r (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1, 17, 1193, 0.3, 7 in decreasing order.\nAnswer: 1193, 17, 7, 0.3, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18)\/l*l**(-25)*l*l**(-2\/77)*l*l**31*l)**(-2\/7) assuming l is positive.\nAnswer: l**(1544\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 591 and 7338?\nAnswer: 1445586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3281 - 3264. Calculate the greatest common factor of 11 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12261.\nAnswer: 3, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 11. Suppose 3*s - 4*l - 73 = 0, -7 = 2*s - 5*l - 44. Suppose v*d - 53 = -2*q + 23, -q + d + s = 0. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 63, 140, 273, 480, 779, 1188?\nAnswer: 1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q + 3. Let r(d) = 3*d + 1. What is k(t) + 2*r(t)?\nAnswer: -t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4362761 take away -6.28717?\nAnswer: -4362754.71283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 - 39. Suppose m*z = 51*z - 753. Suppose 0*k - 2*o = -k + 92, -z = -3*k + o. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 139?\nAnswer: -139.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = 2*u + 2*n - n, 4*n + 644 = 4*u. Suppose -4*m = -4*q - 114 - 18, 0 = 3*m - 5*q - 99. Calculate the highest common factor of m and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107728723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 28\/(-4)*(-546)\/98?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*((((d**(-1\/2)*d)\/d)\/d)\/d)\/d)))**44\/(d**1\/d)**41)\/(d**(1\/5)*(d*d**(-6)\/d)\/d*(d\/((d**(-1\/7)*d)\/d))\/d**2) assuming d is positive.\nAnswer: d**(-3582\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.047, -3, -42\/59, -3\/7, 2?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(-2)\/h)\/h)\/(h*h**(1\/5)))**(-2\/21)*(h*h*h**0)**44*((h\/(h*h**1)*h*h)\/h)**(1\/4) assuming h is positive.\nAnswer: h**(442\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12803820 and 1620?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 59*b - 3. Let p be n(-3). Let d = 1258\/7 + p. Let k be (-3)\/2*8\/(-18). Is d bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + 6)\/(22\/110). Solve 3*l + 4 = -2*f + 21, -l - k*f = -10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-1)\/(6*1\/4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0371 take away 2108?\nAnswer: -2107.9629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -93 - 3\/((-12)\/20). Let x be (-42)\/(-12)*g\/14. Suppose 5*j = 3*o + 91, 2*o - 5*o - 4*j = 46. Is x at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 46*m - 156 - 170 - m**3 - 8*m**2 + 306. What is the remainder when 1 - 2\/(-4)*26 is divided by j(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02288083165 to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 - (29\/(-3) - 1). Let h be (-1)\/(-5)*u - 1\/5. Solve 5*o - 8 = -h*f, -3 - 6 = -5*o - f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134 - 69. Suppose -v = -5*z - 4*v + 98, 3*z - 54 = 3*v. Let p = -2 + z. Calculate the remainder when b is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 413.8534 millimeters?\nAnswer: 0.0004138534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -11110?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1043836 and 690?\nAnswer: 360123420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1351077628.\nAnswer: 2, 2333, 144779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3 = -2*s, -22*a + 21*a = 3*s + 1. What is the third derivative of s*j**3 + 5*j**3 - 3*j**3 + 0*j**3 + 34*j**2 - 131*j**2 - 78*j**5 wrt j?\nAnswer: -4680*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y - 3 = 0. Let s(p) = -p**2 - 4*p + 1. Let c be s(-4). Sort -4, y, c in decreasing order.\nAnswer: c, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -321*o + 189. Let v(b) = -211*b + 126. Give 5*r(y) - 7*v(y).\nAnswer: -128*y + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.007 + -3.807. Let v = 3.79999668 + r. Round v to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13012567, 26025137, 39037707, 52050277?\n\"Answer: 13012570*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 1. Let d = -552 - -550. What is the second smallest value in -0.5, 2, l, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**2)\/c)**(-6\/25)*(c\/c**(6\/13)*c)\/(c**(1\/9)\/c))**18 assuming c is positive.\nAnswer: c**(17008\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 2*i - 14, -254*i - 5 = -241*i + 2*l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*i**4)*(-3 + 2 + 3)*(3 - 3 + 1)*(5176*i - 1775*i - 613*i).\nAnswer: 22304*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23478 and 169098618.\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 28\/15, -1\/2, 105\/583?\nAnswer: 28\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-14)\/d**(5\/4)*(d**(-19))**(-26))**(-3\/20) assuming d is positive.\nAnswer: d**(-1149\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -5, 4 in decreasing order.\nAnswer: 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 51. Suppose 0 = -d - x + f, 5*x - 2*x = 5*d - 6. Suppose -170 = -d*z - 59. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 36*v + 90. Let y be g(15). Solve -10 = o + k, y = 2*o + 25*k - 26*k + 11 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*c = 4531, -17*c + 15*c = -4*h - 18106. Let f = 7063 + h. What is f rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 1140 = -52*z. Put 4, z, 48 in decreasing order.\nAnswer: 48, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/4)*(p**(-7)*p)\/p)\/((p\/(p*p**0))\/p)**(-14)*(p**(-2\/11)*p**(-2\/17)\/p)**(-5\/13) assuming p is positive.\nAnswer: p**(-192051\/9724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26383\/12 + -2202. Let l be 596\/(-11) - 8\/(-44). What is the common denominator of x and 2\/l*(-6 + 68)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 10. Let k be q(7). Suppose -5*i - 40 = -n, 50 = 3*n + 2*i - k*i. Calculate the remainder when 44 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1542462516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o - 11*o - 4*o - 12 + 12*o. Let n be p(-1). Put 3, 5, n in descending order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 0.3, -223, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1402\/11 + -128. Let s be 4\/6*(-3)\/5. Which is the closest to s? (a) -6 (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -39 - (16 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 16 - (-4 + 3 - 12 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 386?\nAnswer: -6176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6)*m\/(m*m\/m**3))\/(((m\/((m\/(m**(1\/18)\/m))\/m)*m*m)\/m)\/(m*m*(m*m**(-4\/11)*m)\/m)) assuming m is positive.\nAnswer: m**(338\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -144, -300 in decreasing order.\nAnswer: 3, -144, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 41. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 2 + 7\/1302*-3750 + 5?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 265 = -4*b. Let q = 581\/11 - b. What is the nearest to -0.1 in 1, -1\/6, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/i**(2\/5)))\/i*i)\/i)**(-41))**(-30) assuming i is positive.\nAnswer: i**(-738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33745.91 weeks to minutes.\nAnswer: 340158772.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1065\/220)\/((-6)\/(-4)) and ((-14)\/10 + 2)\/((-24)\/102).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 18*k - 221. Solve 6 = -3*o + 2*v, 4*v + 5 = 4*o + k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g + 2 - 4 + 0.\nAnswer: -43*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (46\/(-2))\/((-27)\/15 - -2). Let w = -124 - b. Are -11 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 0.082, 1, -2\/3, -4 in ascending order.\nAnswer: -4, -2\/3, -0.19, 0.082, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and 3687210.\nAnswer: 5530815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1355237675?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*i - 8226*g**2 - 4*g*i + 2*g + 216*i wrt g.\nAnswer: -6*i - 16452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 16. Solve 0*p = 3*p - 3*k + 18, 3*p + m*k - 7 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(26*l**2 - 23*l**2 - 25*l**2)*(1 + 4 - 4)*(4*l - 2*l + 9*l) + 4*l**3 - 4*l**3 - l**3.\nAnswer: -243*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710 = 4*c + 5*h - 717, 0 = -5*c - 5*h + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10958*v**2 + 14128*v**2 - 12968*v**2)*(-4 + 3 + 2) to the form p*v**2 + s*v + u and give p.\nAnswer: -9798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/7, 13\/9, -4, -42.\nAnswer: -42, -4, 13\/9, 18\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -280\/299 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 925\/90)*(-8)\/10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 - 6*z**5 + 3*z**3 - z**5 + 3*z**4 - 3*z**4 + (2*z**3 + z**3 - z**3)*(-z**2 + 2*z**2 + 3*z**2) + 3*z**5 - 3*z**5 - z**5 - z**5 + 7*z**5 + 2*z**5.\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, -48, -192, -478, -954, -1668, -2668?\n\"Answer: -8*j**3 + j**2 + 3*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 6*j - 2 - j + 6.\nAnswer: -9*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 + -6.3. Suppose 2*z = -3*z. Suppose z = -0*a + 5*a + 15. What is the third smallest value in a, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 0*d**2 + 4*d**3 - 2*d**2 - 5*d**3 - 2*d**4 + 11 as j*d**4 + f + m*d**3 + l*d + i*d**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 3 + -33 + 23.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 5*n**2 + 280*n - 281685 = 0?\nAnswer: -267, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/7 - 253\/(-14168).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 - l + 51. Calculate the remainder when g(0) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8176 - 8098. What is the greatest common divisor of z and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 674*r + 775*r + 161*r in the form o*r + j and give o.\nAnswer: 1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by -80.\nAnswer: 57\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/24*((-10)\/(-3) - -2). Determine m, given that 2\/3*m**2 + 2\/3 - w*m = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3626 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 0 + (61 - (113 + -46))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -131, -2\/7, -5\/2, -1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 46322383 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-14))\/(9\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6688137 divided by -4?\nAnswer: -6688137\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**5 + 0*y**4 + 0*y**4)*(810 - 400 + 1353).\nAnswer: 3526*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1664 (base 13) to base 11\nAnswer: -2524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 32.45583 millimeters?\nAnswer: 3.245583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:29 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**2 - 2*x - 4. Let k be m(-2). Let d be (1\/(-2))\/(4\/(-16)). Let l = k - d. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 32*q**2 - 2314*q + 723. Determine x(72).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 43*v**2 - 10252*v + 14453. Determine j(237).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4\/5 (b) -2\/5 (c) 267 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 805.6*-26594\nAnswer: -21424126.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/37)\/(k\/((k\/(((k\/(k*k\/(k**(-40)*k))*k)\/k)\/k))\/k)*k*k))\/(((k*k*k\/(k*k\/(k**(-32)*k))*k)\/k)\/k)**(25\/6) assuming k is positive.\nAnswer: k**(37099\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + j - 1. Calculate n(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159339?\nAnswer: 3, 53113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from dwxw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -242\/31 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19766868 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -2, 4, 4958, -1, 1 in descending order.\nAnswer: 4958, 4, 1, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4))**(-35\/2)\/(s**(1\/3)*s**(-2\/7)) assuming s is positive.\nAnswer: s**(-743\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.017528, -4, 4 in descending order.\nAnswer: 4, -0.017528, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85487, -2, 2, 30 in descending order.\nAnswer: 85487, 30, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:47 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o - 4. Give h(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from siissis.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2021?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let z = x - -1. Suppose 12 = -z*a + 4*a. Solve -y - a = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, -5, 742 in descending order.\nAnswer: 742, -5, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -52. Let m be (-132)\/726 - (-488)\/22. Let z = m - s. Calculate the remainder when 8 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(55)\/sqrt(5)) - (-4 + 2 + sqrt(19)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -17. Solve y*l + l - 2*r - 16 = 0, 3*l - 1 = -4*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -171*x + 26824. What is c(150)?\nAnswer: 1174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 2*t**2 + 2. Let a be m(-2). Let s(l) = -l**3 + 0*l**2 + 2 + 0*l**2 + 6*l + 4*l**a. Let r be s(5). Solve u - 4*p - p = 11, r = -u - p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4273+-8.7746\nAnswer: -4281.7746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l - 4*a + 22 = 0, 4*l - 2*a = 28. Solve 0 = -2*w + y, 3*y - 2 = -2*w + l*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49*(((-384)\/(-315))\/(-2) + (32 - (-470)\/(-15)))\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-15))\/(8 - 398\/50). Suppose -8*u + n = -13*u + 115, -p*n = -u + 23. Solve -3*h + u - 4 = -z, 0 = 2*h - z - 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12643\/2837 or 4?\nAnswer: 12643\/2837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 128085755 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.420588 meters to kilometers.\nAnswer: 0.009420588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {e: 3, c: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1594, 1796, 1994, 2182, 2354, 2504, 2626, 2714?\nAnswer: 2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, g: 1, l: 2, n: 1}. What is prob of picking 3 q and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2160*r - 4325*r + 2167*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7092134.07 rounded to the nearest 100?\nAnswer: -7092100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -9. Let p be (-7 + v)*(-2)\/4. Let o(m) = 3*m - 3. Determine o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92049221.9 rounded to the nearest one hundred thousand?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*d + 123 = 5*j, -250 = -5*j - 4*d. Calculate the least common multiple of 306 and j.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 - 22*s - 21. Let y be a(-1). Let n be -30*1*(-60)\/45. Let k = n - 27. Solve 0 = y*z - 12 - k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -22. Let v = 1 - 1.4. Let x = -2.1 - -2. Which is the closest to g? (a) x (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-5199)\/12 + 12\/(-16). Let f = r - -444. Solve -2 = c - 2*q, 0 = -c + 4*q + q - f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2222*a + 428843. Determine z(-193).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733288307 rounded to the nearest one hundred thousand?\nAnswer: 1733300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**5 - 1. Let t be (3\/1 - 6)\/(-3). Let q(y) = 5*y**5 + y**4 - 2*y**3 - 2*y**2 + y - 3. Let s(l) = t*q(l) - 4*c(l). Factor s(m).\nAnswer: (m - 1)**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:31 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - l - 58. Let y be s(8). Let p(i) = -2*i**3 - 1 + 3*i - 4*i + 0. Let b(h) = -h + 0*h + 2*h**3 - 3*h**3 - 1. Give y*p(q) + 2*b(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-16 - -16) + -4) - (3 + -2) - 14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 202 - 210. What is the nearest to -2 in 6, h, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.18 - 6.18. Let i = 2.89 - -0.11. Which is the third biggest value? (a) i (b) -2\/13 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282027, 282026, 282025, 282024, 282023?\nAnswer: 282022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/9)\/((-6)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -98, -232, -430, -698, -1042, -1468?\nAnswer: -1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 y when three letters picked without replacement from iyilljjylyflyy?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 9334?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**0)**(-1\/54))**1)**(-3\/10))**(-12\/17) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/21542543 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (((-54)\/4)\/1 - -1)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 12*b - 1. Determine h(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.8*-16257.3\nAnswer: -29263.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uusgptpsujpjgu. What is prob of picking 2 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2 - 32*t + 58. Give o(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q = -18 - 120 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5897629008\/7 - 8604\/7*a**2 + 12338136\/7*a + 2\/7*a**3.\nAnswer: 2*(a - 1434)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p. Let n(h) = 964*h**3 + 4*h**2 - 3*h - 5. Let z(v) = 4*f(v) - n(v). Is z(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 + 765*r**2 + 49152*r + 1048576. Let q(h) = -12*h**3 - 2296*h**2 - 147456*h - 3145728. Let i(z) = 8*j(z) + 3*q(z). Find u, given that i(u) = 0.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*a - 5370 = 3104 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 10.8. Let z = -11.5 - w. Let d = z + 14.3. Round d to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.4, 11719, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1119 smaller than -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -5 (b) 2\/9 (c) -3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 16 + 2*t**3 + 15 + (t**2 + 0 + 0)*(-t + t - 2*t) - 96*t**3 - 111*t**3 - 99*t**3 to the form f*t**3 + z*t + g + w*t**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 2*y**2 - 2*y - 1. Let h be j(3). Let o(c) = 39 - 42 + 56*c - 45 - 50. Let b be o(2). Solve 2*l + 3 = 5*u, h*l + 2*u + b = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-20)\/(-3600)*2.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1040 and 470.\nAnswer: 48880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5759966*d**4 - 11824053*d.\nAnswer: -69119592*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2*r*r**(-6))\/((r\/(r*r**(-2)*r))\/r**3))\/((r**(2\/5)*r*r*r)**(2\/9)*(r*r\/(r\/(r\/r**(3\/4))*r*r)*r)\/(r*r**(-1\/4)*r)) assuming r is positive.\nAnswer: r**(67\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6009 and 0.1?\nAnswer: 0.5009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-28) + 382\/(-14). Let o be (1 - 1 - i) + 0. Suppose 2*m + o = 5*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -21. Which is smaller: -1\/21 or c?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(1\/(-1))\/(-1))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-156)\/(-300)*5. What is the closest to 4\/5 in -5, 32, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 882 and 3008943?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 43 - h - 3*h + h**2 + 46 - 96. What is s(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140529792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1233120 + 2030?\nAnswer: -1231030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 0.7, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13812, -13638, -13304, -12810, -12156?\n\"Answer: 80*v**2 - 66*v - 13826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 24?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340 + 310 - (1 + -79).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:14 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-4 - (-10)\/4)*-10. Suppose -42 = -4*h - 3*h. What is the greatest common factor of z and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159333 is divided by 2655.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*c = -c - 86, 0 = -3*b + 3*c + 69. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -1\/6*d**3 - 7*d + 0*d**2 - 8. Let x(t) be the first derivative of n(t). Let h(k) = 2*k. Determine x(h(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12231011 is divided by 6115498.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19390 + 19390 + 27*s)*(2*s + 0*s - 5*s) in the form i + z*s + l*s**2 and give l.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1629*h - 4604*h - 18824*h - 2 in the form c*h + z and give c.\nAnswer: -21799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2881\/5738 + -6\/2869. Find f, given that -2 + 1\/4*f**3 - f + n*f**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*f - 426*f + 12*f**3 + 206*f.\nAnswer: 12*f**3 + 67*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 12:40 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116700103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.8 + -80.\nAnswer: -42.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 670 and 550405.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qolcq. What is prob of sequence ol?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*w - 2*n, -5*n - 36 = -14*w + 10*w. Differentiate 21*c + 26*c + w + 23*c - 7*c with respect to c.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 12*x + 20. Is 13 a factor of s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**3 + 11*w**2 + 5*w + 2. Let s be t(-9). Let y = s + -18882\/5. What is the common denominator of y and 58\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.42356 - 0.02356. Let y = -0.3 + -0.7. Sort 0.3, r, y, -2\/3 in decreasing order.\nAnswer: r, 0.3, -2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-10))\/(33\/22).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*f - 1149 - 38*f + 288.\nAnswer: 3*f - 861","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4680 is divided by 1457?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g + 8. Let c(j) be the third derivative of 3*j**2 + 1\/3*j**4 - 3\/2*j**3 + 0 + j. Determine 6*a(l) + 5*c(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 922.8232 millilitres in litres?\nAnswer: 0.9228232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.35 + 0.05. Let y(k) = -k**3 - 4*k**2 + 5*k - 6. Let i be y(-5). Let g = i + 7. What is the closest to -2 in 3, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1335010963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14000 and 169200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 12:00 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25643.9 and -1622.629.\nAnswer: -27266.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2. Let g(x) be the third derivative of -x**4\/24 + 4*x**2. What is g(o(f))?\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2\/3, -23.\nAnswer: -23, -4, -2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36427319.\nAnswer: 367, 99257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104188 is divided by 151?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.45084 to 3 dps.\nAnswer: 0.451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341 and 677455834?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 32. Determine c(25).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -707 - -7257. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let l(p) be the second derivative of -p**3\/2 + 2*p + 8. What is -5*a(m) + 2*l(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24163964?\nAnswer: 2, 11, 233, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.490287 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-1)\/12*(-44)\/(-77).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5454677783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 756\/(-147) + -4 + (1 - 2).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.648405097 to four decimal places.\nAnswer: -2.6484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {b: 3, f: 2, c: 2, v: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*r + 2*j - 2, 0 = -r + 4*j + 2. Suppose -17*f + r = -16*f. Factor -20*y**3 - 4*y**f - y**2 - 11*y**4 + 36*y**4.\nAnswer: 5*y**2*(y - 1)*(5*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616010 is divided by 377.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + sqrt(20) + sqrt(50)\/(sqrt(10)*2) - (sqrt(5) - -1*sqrt(5)*1)*-6)*-3)**2*-5.\nAnswer: -191645\/4 + 4785*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -s - 4 - 10, 4*s = 4*z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1572191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 + -0.5. Let q = r + 0.9. Let x = -0.1 - -0.6. Which is the second biggest value? (a) x (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5261.6 + -578.6. Let p = -4790.696 + w. Let v = p + 108. Round v to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-84)\/15)\/7)\/(37*86\/198875).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - m**2 - 31*m - 59. Determine a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 1, -21.\nAnswer: -21, -0.15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 196783 divided by 10357?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132033313 (base 4) to base 16.\nAnswer: -1e3f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 1.8. What is the biggest value in 1\/4, 2\/23, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - f + 14, 3*t + 16 = 5*f - 0. Suppose 9 + t = 2*v - 4*r, -3*r = -5*v + 16. Suppose 1335 + 819 = v*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 249504 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -479786 * -1.\nAnswer: 479786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 255741, 257948, 260159, 262374, 264593, 266816, 269043?\n\"Answer: 2*x**2 + 2201*x + 253538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjyq when four letters picked without replacement from {h: 2, j: 1, y: 5, v: 7, q: 3}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 8*p**2 + 8*p - 12. What is a(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/4)\/(n\/n**(1\/7)*n))\/(n**3*(n\/n**(-2\/3))\/n))\/((n\/n**(-3\/7))\/n*n\/((n**5\/n*n)\/n)*n)**(5\/4) assuming n is positive.\nAnswer: n**(-59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 22. Let w be (-18 - -14)\/(2\/(-2)). Suppose -w*o + 5*n = -60, 5*o - 25 - 45 = 5*n. Calculate the smallest common multiple of o and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/27 - (-3782)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123\/189 - 27\/63?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**3 - 296*t**2 + 1536*t + 811008 = 0.\nAnswer: -44, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-120)\/42 - (1 - 3). Let l be -1 + (-1 - (0\/3 - 2)). Which is the biggest value? (a) 2\/5 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m - 7*m - 8*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*o + 3*w + 1645, o - 4*w - 312 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1822572379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -133, -139, -145, -151?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, -1\/4, -5, -84\/17, 0.7, -7, -1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142104?\nAnswer: 2, 3, 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9024 divided by -94.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2476 times 11375\nAnswer: -28164500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -148110939 rounded to the nearest one hundred thousand?\nAnswer: -148100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + d)*(-38*d**2 + 185*d**2 + 63*d**2) - 3*d**3 - d**3 - 9*d**3.\nAnswer: 197*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -17\/9, 2\/5, -3, -4 in decreasing order.\nAnswer: 2\/5, -1\/4, -17\/9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55252 divided by -1454.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 8*c - 4*c. What is the greatest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - a - a. Let p(y) = -2*y + 3. Let r(f) = f - 1. Let q(h) = p(h) + 3*r(h). Determine l(q(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3771, -3692, -3615, -3540, -3467, -3396, -3327?\n\"Answer: -o**2 + 82*o - 3852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3548466074 to the nearest integer?\nAnswer: 59569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10208656 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 8 + q**2 - 8*q - 19 + (-q - 2 + 2)*(-1 + 2*q + 1) as k*q**2 + h + d*q and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -125991600 divided by -2099860?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1638 - -53. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 23*t**3 - 20*t**2 + 2*t + 9. Let g be w(3). Calculate the highest common divisor of g and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11634 = 161*s - 439*s - 276*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14144 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, a: 1, h: 2, e: 5, m: 8}. Give prob of sequence mah.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12968 divided by 1621.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -912 divided by 45.\nAnswer: -304\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1924*i = 1788*i + 272. Solve -89*s + i = -91*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -80, -185, -332, -521, -752, -1025?\n\"Answer: -21*i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y - 6*y + 12*y - 1. Let h(p) = 10*p + 4. Give h(g) + 6*v(g).\nAnswer: 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 4*m - 30135 = -3*r, -12075 = 2*m + 3*r. Let g be (m\/(-924) - 6) + (-3)\/6. Which is the nearest to -1? (a) -1 (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 335 * -57715.\nAnswer: -19334525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqss when four letters picked without replacement from {q: 3, s: 4, j: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*h + 7959 = 0, 17*o = 13*o - 3*h + 10605. What is the least common multiple of o and 21?\nAnswer: 18543","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*r - 136, -r - 37 - 41 = -5*u - 3*r for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356059 + 1135597 + 1624162 = -26988*y - 1013346 for y.\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -183*w - 4968. Give k(-25).\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 26*x**2 + 24*x + 28. Let o be b(25). Let d = -5191 - -7718. Suppose -k - q - 4*q + 626 = 0, o*q = 4*k - d. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12274071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**4 + 20*s**3 + 38*s**2 - 3092 wrt s.\nAnswer: 8*s**3 + 60*s**2 + 76*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 + -132.9. Let j = -7.4 - k. Which is the closest to 2\/3? (a) 5 (b) j (c) 3\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*l + 452*l + 52 - 3 - 10 - 39.\nAnswer: 89*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**2 - 304*c + 1671 wrt c.\nAnswer: 6*c - 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 4*z + 52 = 0. Let a = 32 - z. Calculate the highest common divisor of a and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 4*f**2 + 7*f - 1. Let j be v(5). Let p(z) be the first derivative of 3*z**2\/2 + 2*z + 7. Let y(q) = -13*q - 9. Calculate j*p(l) + 2*y(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}