diff --git "a/data/dm_maths/full_data_1/1187_11255.jsonl" "b/data/dm_maths/full_data_1/1187_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1187_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 7*o = 2*f + 4241, 7*f - 2405 = -4*o + 2*f. Solve -o*u + 623*u = 126 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/882105 in 0.01, 2, 0, 0.1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 29\/1119 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040591176?\nAnswer: 2, 130073897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-74)*(-844)\/1266.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from qkzqqkqzqk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446a (base 11) to base 7.\nAnswer: 23104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 169864 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7950432051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1772659 take away -4703?\nAnswer: 1777362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 21 = -4*s, -s = f - 2*s - 4. Suppose 5*d + 10 = 5*i, -14 = f*d - 2*i - i. Which is bigger: 4 or d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -200*c**3 - 426*c**2 + 8*c + 8. Let a(b) = -401*b**3 - 851*b**2 + 18*b + 18. Let g(h) = 4*a(h) - 9*l(h). Find the third derivative of g(q) wrt q.\nAnswer: 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n + 3*n + 3*n)*(-13*n**3 - 17*n**3 - 23*n**2 + 29*n**3) to the form i*n**4 + a + y*n**2 + l*n + h*n**3 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 141273a (base 11) to base 6\nAnswer: 124100154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/16430 and 157\/1252920?\nAnswer: 38840520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3\/3 - 7600*z**2\/3 + 14665300*z\/3 - 284258000 = 0.\nAnswer: 60, 3770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 + 102*k**2 + 294*k + 193. What is o(-48)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**5\/9 + 1894*m**4\/9 - 412900*m**3\/9 + 411008*m**2\/9 = 0.\nAnswer: 0, 1, 338, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {h: 1, n: 3, r: 2, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -1040 (c) 9 (d) -4\/5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95617 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 15*c**2 + 37*c + 3. Let o be g(-12). Let r(v) = -7 - 6 - 4*v + 2*v. What is r(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/17 (b) 1\/4 (c) 0.1 (d) 414364\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -102*y - 2. Let k be w(-1). Suppose 2*m + 5*g - 35 = 0, 0 = 5*m - 2*m - 2*g - k. Calculate the remainder when m is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 478023*n**2. Let f(y) = -2*y**2. What is f(a(l))?\nAnswer: -457011977058*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -55, 189, 611, 1205, 1965, 2885, 3959?\nAnswer: 5181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/(0 + (-3)\/(-2)). Suppose 5*j = 3*j + 3*r + 4, 2*r - u = -3*j. Calculate the greatest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1614183942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z = 26. Suppose -r - 5 + 4 = -a, r + 3*a = -z. Let c(u) = u + 3 + 3 - 5. Give c(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzkkscszkozzok. What is prob of sequence oscs?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5.1 times -109.415\nAnswer: -558.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**5\/20 + k**4\/12 - k**3\/6 + 5*k**2\/2 - k. Suppose -3*c - 381 = 5*f - 8*f, f + 617 = -5*c. Let s = -124 - c. Give n(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -9 + -78 + 78?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, s: 10}. What is prob of sequence qss?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*d - 56 + 6, 0 = -5*i - 5*d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + 76. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1730.5 - -0.80862.\nAnswer: 1731.30862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10656 and 1480.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -402 - -405. Suppose -j*f = -2*a + 125, 42*f = 4*a + 46*f - 240. What is the remainder when a is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2. Let s be l(0). What is the derivative of m + s + 1 - m**3 - m wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - 3) - 6 - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34632 (base 7) to base 16.\nAnswer: 22bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3638022*u**4 + 2332798*u**2.\nAnswer: -87312528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66801, -60324, -53861, -47418, -41001, -34616, -28269?\nAnswer: -21966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/243140 and 61\/24314.\nAnswer: 243140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i + 595 = 55*i. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125050?\nAnswer: 2, 5, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 1\/8, -22, -5\/61?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 14 - 3*q - 2.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2117 - -1141. Let t = g - -318. Let p = -441 - t. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -35730?\nAnswer: 35730.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 166 + -81 + -53 + (-6 - -1 - 1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 1060*i**2 - 5*i + 3 + 1063*i**2 - 3*i**3. Calculate v(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -31*x + 369. Is 46 a factor of m(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*n + 13. Let i be 68\/84 + n\/(-9). Let a be (-1*(-6 + 4))\/1. What is the nearest to -0.1 in -5\/3, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 469012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 3*s + 6*q, 837*q = -3*s + 841*q - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -12*m - 24. Solve 8*d - 6*d = -m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 331*x**3 - 115*x**4 - 144*x**3 - 187*x**3 + 16*x**2 + (-4 + 2 + 0)*(-x**4 + 0*x**4 + 3*x**4) + 2 - 2 + x**4.\nAnswer: -118*x**4 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9258994083972 and -68?\nAnswer: 9258994083904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**2 - 29*j. What is l(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 + -57. Suppose 8*u + 917 = -p. Let b = 200 + u. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 0*x = -105. Let o be ((-2)\/(-3)*6)\/(x\/30). Suppose -5*k - 1461 = -o*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44.2 - -44.1. Which is the closest to o? (a) -2\/19 (b) -0.3 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -13 - (0 - -3)) + 6 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79 - 4.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2297 = -668. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 356\/21 + -115\/6. Calculate the common denominator of q and -17\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.4836 decades in months?\nAnswer: 22738.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2993 + 5?\nAnswer: -298a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 3*s**2 - 8*s. Let g be a(-4). What is the greatest common factor of g and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383 + 380 = -19*q - i, -2*i + 6 = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(10\/35)*-2. Let w be 2\/10 - l\/35. Suppose w*m = 3*m - 138. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -25*f**4 + 30*f**3 + 2915*f**2 + 11400*f + 7280 = 0.\nAnswer: -7, -4, -4\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 5\/15 - 1\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 23967*p + 8154. What is the tens digit of w(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 519059 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1890 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1306778064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2759 is divided by 1213.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 2:41 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/808371 and 46\/29730089.\nAnswer: 267570801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10)*(-5)\/10*1. Is m smaller than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22 and 243901.\nAnswer: 243923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -28, 5\/2, 0, -2\/13, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001011010001100000 (base 2) in base 14?\nAnswer: 179600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -30*n**3 + n. Let o(t) = 61*t**3 - 3*t. Give -5*d(i) - 2*o(i).\nAnswer: 28*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*sqrt(3) + -1.\nAnswer: -1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006253.\nAnswer: 1006253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10778.\nAnswer: 2, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 - (-2)\/4. Suppose 4*t + 5*y - 22 = 0, -6*y - 16 = -t - 2*y. Let u be t*(-3 + (-14)\/(-4)). Solve u*s = -s + 3*f + 25, 2*f = r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*((f**(2\/7)*f)\/f)\/f)*f\/(f*f**17*f))\/(f\/(f*f**8)*f)**(-39) assuming f is positive.\nAnswer: f**(-2032\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*f = -0 - 38, f - 4 = 0. Suppose -s = -n - n. Suppose 5*x + 0*g = -2*g + 92, -4*x - n*g = -60. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 j, 1 u, and 1 v when four letters picked without replacement from {k: 1, v: 1, j: 4, z: 1, u: 3, b: 2}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 21\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 4*q**2 - q + 2. Let p be z(4). Let i be 8684\/2 + (1 - p). Suppose 5*b + i = 2*v, -3*v + 6537 = 2*b - 3*b. Round v to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -9. Suppose -2*m = -3*c - m - 1, -c - 19 = -5*m. Let r(i) = i - 3*i - 3*i + c. Determine r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 21158*h - 2 + 20087*h + 13 + 4 to u*h + t and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-84)\/(-16))*(-2)\/(-20)*-5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 460, 466, 486, 526, 592, 690, 826?\n\"Answer: h**3 + h**2 - 4*h + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-3)*w)\/(w*w\/w**(3\/2)*w))\/((w**6*w)\/(w*w\/(w*w**(1\/8)*w)*w)))\/((w**(2\/5))**(-6))**(-2\/5) assuming w is positive.\nAnswer: w**(-717\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7976876 - 982.13?\nAnswer: -7977858.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 < 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46, 38, 28, 16, 2, -14?\n\"Answer: -l**2 - 5*l + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njlynnlllrjldjy. Give prob of picking 1 j, 2 y, and 1 r.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11287, -11279, -11269, -11257?\nAnswer: -11243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3965.481km to nanometers.\nAnswer: 3965481000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*z - 132*z = 4*v + 366, 3*z - 384 = v. Calculate the highest common factor of 1846 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -0.5\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 156359761?\nAnswer: 312719522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -112, 0, 158, 362?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*o - 13 - 6 = 0, -d - 2*o = -12. Let q(c) = 9*c**2 + 3*c - 4. Let i be q(d). What is the units digit of 1 + i - (-8)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 8) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8806 divided by 30.\nAnswer: 4403\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -4*m - 7, -3516*m + 10 = 2*i - 3520*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1597\/10089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11250 rounded to the nearest one hundred?\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 g when three letters picked without replacement from {b: 2, m: 1, g: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1594660 and 4?\nAnswer: 1594660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 11*l**2 + 6*l - 17. Let f be a(-10). Let x = f + -68\/3. Suppose 2*v + 6*o = o - 23, 0 = 5*v + o. Is v at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 104413485 and 0.54.\nAnswer: 104413485.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 88201411.3 to the nearest one hundred thousand.\nAnswer: 88200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46271628 is divided by 438.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (9\/27)\/(7\/3)*16\/112\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -7, 4, 0, -2\/9, -0.015?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 4\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than 8.785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 617799.\nAnswer: 4942392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2 + 1104*d - 25256 = 0. Calculate d.\nAnswer: -574, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.843 - -1.4.\nAnswer: 3.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 228101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*11*3\/(-12). Let z = f - -9. Let p be (1 + z)\/(2\/2). Is p smaller than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142008 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -40. Suppose -u = -14 - i. Find the first derivative of -u + 0 - 5*n**4 - 7*n**4 wrt n.\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011110100 - 1000011?\nAnswer: 10111010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-177 - 173507\/(-965))\/(-1 + 1 - 1\/20)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 127611360 or 127611359?\nAnswer: 127611360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 194 and 117759358?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 (base 13) in base 2?\nAnswer: 100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 4, 4\/7, 0.1, 6, -9.7?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w**3 + 165*w**2 + 55*w. Let x(l) = -7*l**3 - 165*l**2 - 44*l. Let c(g) = 4*d(g) + 5*x(g). Find f such that c(f) = 0.\nAnswer: -55, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.03, 3\/4, -0.2, -1\/2, -29, 0?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17223*a**2 + 475*a + 42 wrt a?\nAnswer: -34446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25915 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 6, q: 1, w: 2, h: 5, e: 1, d: 5}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 + 3303 + 3257 + o**3 - 5*o - 6504 as l*o**3 + i*o**2 + t + r*o and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0.8, -59563?\nAnswer: -59563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1 + 32\/(-24)). Solve -v*q - 11 = -2*s - 31, 0 = -2*s - 2*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((34 - 51) + 0 + 22) - (149 - -3).\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61180 = 74*o - 20294. Calculate the remainder when o is divided by 1099.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 395 - 367 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 28*o**2 + 25*o - 51. Let a be c(-27). What is the nearest to -0.2 in -4, a, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19106, -19102, -19096, -19088, -19078, -19066?\n\"Answer: r**2 + r - 19108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -10*k + 300 + 551, 0 = 4*b - 12. Calculate the remainder when 297 is divided by k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3082*k**2 - 9*k**3 + 4*k**3 - 411*k + 3087*k**2 - 357*k wrt k?\nAnswer: -30*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let y(f) = 70*f**2. Determine y(l(j)).\nAnswer: 70*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4 - 828*f**3 - 6432*f**2 = 0. Calculate f.\nAnswer: -268, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -123977*a**2 + 193*a - 193*a + 123968*a**2. Let h(v) be the first derivative of 4*v**3\/3 - 1. What is p(h(t))?\nAnswer: -144*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 - 133. Let t = -3.07 - -0.07. What is the nearest to m in t, -3\/7, 0.06?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943320 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/((-2970)\/(-121)) - 27\/(540\/8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y + 2*y)*(-4 + 2 + 1) + 140*y + 142*y - 34*y to d*y + j and give d.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.132 - -0.032. Which is smaller: r or -2\/71?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.315 + -0.085. Let v = 0.1 + -0.2. Which is the nearest to v? (a) 0.4 (b) m (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 332184146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from wowggwwowwgwwwgw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/24 and -85\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3835109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6689\/71231 or -1?\nAnswer: -6689\/71231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.2. Let r = 1.86936 - -12.13064. Sort -3, r, s in ascending order.\nAnswer: -3, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -69.998?\nAnswer: 27.9992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 <= 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3\/3 + 9*y**2\/2 - y - 162. Calculate h(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + a - 72 = 0, -5*b = -4*a - 15 - 96. Let j(q) = 19 - b - q. Let w(r) = -4*r + 4*r + 2*r**2. Give j(w(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 860 = 5*s - 1520. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2235.9 (b) 0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:51 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 8*z**2 - z - 7. Let w be d(-8). Let r be -5 + (1 - (-6 - -3)). Let u be ((-2325)\/120 + 19)\/(1\/(-16)). Sort w, u, r in decreasing order.\nAnswer: u, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -107*i + 789. Calculate n(6).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*w**3 + 109157*w**2 + 97520*w - 11571.\nAnswer: (w + 1)*(w + 1653)*(66*w - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(9\/(-9)*-14)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*g - 1. Suppose -3*c = -c - 6. Let k(b) = -2*b**2 + 9*b - 7. Let s(l) = 10*l**2 - 46*l + 36. Let a(f) = c*s(f) + 16*k(f). Calculate a(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 33. Which is the nearest to r? (a) -0.3 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 10*i + 19. Let c(a) be the third derivative of i*a**2 + 0*a + 1\/30*a**5 + 0*a**3 - 5\/24*a**4 + 0. What is the second derivative of c(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 0 + 218*r**2 + 0*r + 2\/33*r**3 + 1\/220*r**6 - 1\/44*r**4 - 1\/1155*r**7 - 1\/330*r**5. Determine s so that u(s) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1124 by -281.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1694181.72.\nAnswer: 169418.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3806623315?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338791 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 10*v - 3*v. Suppose 3*n + 8 - 38 = 0. What is the remainder when v is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318895.\nAnswer: 5, 23, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + f + 7 = 0, -3*f + 253 = 4*x + 190. Solve -14*b + x = -17*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**3 + 5*a**2 + 8*a + 14. Let m(t) = -t**3 - t**2 - t + 1. Let o(i) = -g(i) + 3*m(i). Let r be o(9). Let u = 41 + r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 12 = -8*s. Let l(a) = a**2 - 2*a + 1. Let p be l(-4). Suppose d - 4*c = p, -4*c = -s*d - 2*d + 64. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5247.5 to the nearest ten.\nAnswer: -5250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 - 2*m**3 + 2*m**3 + (3*m**2 - 3*m**2 + 2*m**4)*(3 - 3 - 2) + 2*m**4 + 0*m**4 + 0*m**4)*(-620 + 620 + 94*m).\nAnswer: -376*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 19*g**7\/21 + g**5\/10 - g**4\/6 - 2*g**3 + 53*g. What is the third derivative of l(m) wrt m?\nAnswer: 2280*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17246 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 10*o = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z**2 - 4*z**3 + z**3 - 20*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2707218)\/12)\/(-1) - 8\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-1 - 0))\/(-1 - (1 - 10)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 9639.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 15645940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 15. Let q = 0 - r. What is the third smallest value in q, 5, -3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119480 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -2. Let u = 55 - 30. Suppose 0 = -4*t - 4*l - d, u = -7*l + 2*l. Solve 7 = -3*a - t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34892 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29035 and 45?\nAnswer: 261315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 455, 911, 1367?\n\"Answer: 456*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i. Suppose g = -5*u - 4*g - 5, 0 = u - g - 9. Let o(v) = -17*v**2 + 11 - 13 + u*v - 4*v. Give o(n(q)).\nAnswer: -17*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015912.1 minutes in hours?\nAnswer: 33598.535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/13709864 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -58*q**3 - q**2 - 3*q - 2. Give a(-1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51829785 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.659 + -8.759. Which is smaller: t or -0.16?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -58 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 11:04 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, -2\/1501075, 4, -2\/9?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52963.\nAnswer: 52963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.324 and 1.1.\nAnswer: 0.3564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4730625 by -54375.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*c - 5, s - 1 = 2*c - 3*c. Suppose -5 = -s*o - 49. Let l be (-2)\/o + 16\/(-88). Is 1 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (3 + -72)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - y. Let w(k) = 630*k**3 - k**2 - 3*k + 1. Let l(f) = 4*n(f) - w(f). Is l(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/26 + (-118)\/(-4). Let n(a) = a - h - 33 + 107 - 28. Determine n(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(5\/17)*w)))\/w**(12\/5))\/((w*w*w**41)\/w**(-22)) assuming w is positive.\nAnswer: w**(-5619\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 3)*(151 + 147 - 298 + 582*b).\nAnswer: 1746*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.514.\nAnswer: 0.1542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 409\/3, 0, -0.1, -0.3?\nAnswer: 409\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*l*o**2*t - l*o - 3*l*t**2 + 3401*o**2*t**2 + 25*o**2*t - 2*o*t - 2*o wrt t.\nAnswer: -6*l + 6802*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 3*i**5 + 0*i**2)*(-6 - 11 + 5) - 3*i**5 + 2*i**5 + 0*i**5.\nAnswer: -37*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**5 - 3*t**4 + 101*t**3 + 11277*t**2 wrt t?\nAnswer: -60*t**2 - 72*t + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-46)\/(0 + 8\/(-20)). Suppose -2*k + x = -4*u - 69, k = 5*u + 101. Let j = -31 + k. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.5977237ns?\nAnswer: 0.0000000005977237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6901 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 233 = 11*z - 8*z + 6*n, 4*z - 209 = -z - 2*n for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -114*b - 194. What is l(2)?\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11191843111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1087029935 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 + 152 - (-4 - 1) - 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26 + -27)*(-766)\/(-4)*-2. Let y(i) = -i - 5*i**2 + 0*i - 386 + s + 5*i - 2*i. Determine y(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 1:57 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**4\/12 - n**3\/6 - n**2 - 23*n + 5. Suppose -14 = 4*x - 2*q, x - 6 = -3*q + 1. Give j(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 0.18, 2?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 315.3 and -1.6.\nAnswer: -504.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**4 - k**2 - 1. Let j be ((-1)\/3)\/((-1)\/3). Let q(s) = 5. Let v(z) = j*q(z) + 5*r(z). Find the third derivative of v(d) wrt d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25044038?\nAnswer: 2, 61, 103, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w + 203*w**2 + 211*w**2 - 413*w**2. Let z(q) = -q**2 + 2*q. Calculate 5*t(d) + 6*z(d).\nAnswer: -d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {w: 6, b: 6}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 945*f**3. Let m(b) = 875*b + 1232. Let i be m(-1). Let o(l) = 16*l**3. Determine i*o(c) - 6*u(c).\nAnswer: 42*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 551?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, k: 5, b: 3}. What is prob of sequence bvvb?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 1291*a**2 + 37819*a + 341. Give m(30).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4467 - ((-47 - -43 - (-12)\/(-2)) + 5). What is the highest common divisor of 129 and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 1266.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(567) + sqrt(567) + -1)*-2 - (-1*sqrt(567)*-1 + 0))**2*-4.\nAnswer: -56956 + 2880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 11*z + 6. Let t be q(6). Suppose 2*a + t*a = -2*u + 266, 2*a + 5*u = 260. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1620) + (sqrt(1620) + (sqrt(1620) + -1 - sqrt(1620)))*-2 - sqrt(1620)) + sqrt(1620) - (sqrt(1620) - (0 + sqrt(1620) + -3)))*-4 + -1)**2.\nAnswer: 432*sqrt(5) + 25929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -8. Let p be ((-2)\/l*0)\/2. Let s(t) = -t**3 - 25*t**2 - 74*t - 636. Let z be s(-23). Solve p*b - 4*b = -z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**6\/72 - q**4\/2 - 7*q**3\/6 - 4*q. Let x(i) be the second derivative of c(i). Differentiate x(g) with respect to g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 28*g - 340. Let m(i) = 3*i**2 - 54*i + 24. What is the tens digit of m(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -18*t + 11. Give s(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 133.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1158 from 147.\nAnswer: 147.1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -110011001 (base 2) to base 11\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -127\/422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-3 + 0 - -6 - 2). Suppose 0 = -3*k + j*a + 14, 16 = 5*k - 2*a - 2. Solve 0 = 4*n - 3*y - 18, -5*n + k*y - y + 17 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*i + 3. Sort 1, i, 2 in increasing order.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - 75 - 247. What is the hundreds digit of (-11496)\/v + (-60)\/(-690)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 7*k**3\/6 + k. Let x be m(1). Suppose 21 - x = g. Calculate the greatest common factor of 112 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/3)*h*h**(-2\/9)*h*(h**5*h*h)\/h**8)**(9\/4) assuming h is positive.\nAnswer: h**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:15 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11)\/s)**(3\/34)*s**(2\/3)*s*s*s**(2\/7) assuming s is positive.\nAnswer: s**(22621\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 1214*x**2 - 27399*x + 136. Calculate b(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93 (base 12) to base 14.\nAnswer: -7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - y - 103 = 0, y + 30 = -2*u - 19. Suppose 2*v = 5*k + 52, 5*k = -2*v + k + 52. Let w = v + u. Is -1\/2 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -2.5. Let g = -74 - -220\/3. What is the closest to p in 1, g, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 243, 507, 803, 1143, 1539, 2003, 2547, 3183?\n\"Answer: 2*o**3 + 4*o**2 + 238*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3, 3\/13, 20?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 6*m + 2. Let t be l(7). Let g(n) = n**2 - 2*n. Let q(v) = -2*v**2 + 4*v - 1. Determine t*g(i) - 2*q(i).\nAnswer: -i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7*f + 10. Suppose -f*l + 0*i = -2*i - 42, l + 5*i = 9. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*2*(sqrt(119) + sqrt(119)*2))\/((sqrt(1008) + 2*sqrt(1008))\/sqrt(9)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.2 (c) 442\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.43389ug in kilograms?\nAnswer: 0.00000007943389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 12*x**2 - 11*x**2)*(0 + 3 - 4)*(2 - 1 + 1 + 5 + 0 - 4 + (0 + 0 - 1)*(-3 + 3 + 2))*(16*x + 76*x - 183*x).\nAnswer: -1820*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74843 (base 10) to base 11.\nAnswer: 5125a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 4. Let p = -7 - -3. Let t be r(p). Suppose 0 = 3*q + q - 8. Sort q, 3, t in ascending order.\nAnswer: t, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 221.\nAnswer: -16\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 82063 in 3\/7, 77, -2?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -26*z**5 + 370*z**4 - 256*z**3 - 118*z**2 - 10*z**5 - 598*z**4 + 38*z**2 = 0?\nAnswer: -5, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.719 + -2.851. What is j rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:59 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t**2 - 2*t**4 + 12*t**2 + 1 + 0*t**2 + 6*t**3 in the form l*t**4 + a*t**2 + i + k*t**3 + w*t and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-974 - 902 + 32 + 169 - 398 - 565)*(5 - 14*k - 5).\nAnswer: 36932*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003101413 rounded to 5 dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312323, -312285, -312249, -312215, -312183, -312153?\nAnswer: -312125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6839*n - 6840*n + 10 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6246.220236832 from 8.\nAnswer: 6254.220236832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349818?\nAnswer: 2, 3, 7, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - -20*3\/2. Suppose 3*m - m - c = -4*g, 4*g - m = 25. Suppose -3*s + g = -5. What is the remainder when 13 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/5 + 6478*k**2\/5 + 32369*k\/5 + 25892\/5 = 0.\nAnswer: -6473, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 353175.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q*q*q*q**(11\/2))**(-3\/2) assuming q is positive.\nAnswer: q**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 5*u**2 - 7*u + 3. Let q be w(4). Let s(y) = -3*y - 23. Let m be s(q). Solve 5*p = 4*g - 32, -m*p = -g - 0 + 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a594 (base 13) in base 10?\nAnswer: 422790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*z + 9*z - 1 - 13*z)*(-36 + 21 + 27 + (-5 + 4 + 3)*(-2 - 3 + 3)) to the form h + s*z and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnn when three letters picked without replacement from bbnnbnbbbbbb.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27200 and 4420.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -126949953, -126949957, -126949961, -126949965, -126949969, -126949973?\n\"Answer: -4*o - 126949949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(684\/24)\/19.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 140952586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -165*m - 6445. Give h(-39).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 111002?\nAnswer: -110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6662 is divided by 155.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8103 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y + 5*i + 40, 5*i = -15. Let s = 168 - y. Does 44 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-4 + 3 - -1). Suppose 3*s - 3 = -v*y, 2*y + 6 + 0 = -4*s. Let g = s + 25. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -8 - 15 - (-8 + 24 - -7).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -624 + 657 - 1063*l + 1061*l.\nAnswer: -2*l + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) 12102 (c) -0.027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from araraaaaararararaa. Give prob of picking 2 a.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6 - (-1 + 1))*0. Is 37 a factor of (1 + (f - 9))*185\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68524127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/32*-4*(-56)\/35?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7352 = 386*b + 18*b + 286*b + 15418 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - 20 = 0. What is the first derivative of 3 + 4*b - 4*b + b - g*b wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8146598821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 3*m - 3. Let v = -4 - 0. What are the prime factors of t(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5061.\nAnswer: 5061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33595527, -67191055, -100786583, -134382111, -167977639, -201573167?\nAnswer: -235168695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8 - 8\/(-5 - -13)) + 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmkmmmmmm. Give prob of picking 1 m and 1 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952 is divided by 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9207.653 years in months?\nAnswer: 110491.836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - 120051266?\nAnswer: -120051225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31\/65 + 737\/455. Find c such that -48\/7*c**2 + 34\/7*c**3 - 4\/7 - h*c**4 + 26\/7*c = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848 = -1083*g + 1136*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47241.32 days to minutes.\nAnswer: 68027500.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + (-1 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 1 + (65 - 74) + 0 + 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8965+0.3\nAnswer: 8965.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 419 + -398.1. Let b = x - 21. What is the second biggest value in -3, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -119923, -4 in descending order.\nAnswer: 2, -4, -119923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 1\/30*n**5 + 1\/27*n**3 + 1\/15*n**6 + 0 - 5*n - 5\/54*n**4 + 0*n**2. Find y such that c(y) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 4*f**2 + f + 22. Give u(-3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -30*y**3 - 25*y**2 - 25*y. Let o(h) = 5*h**3 + 4*h**2 + 4*h. Suppose 2 = 2*b - 18. Let s(u) = u**2 - 12*u - 5. Let k be s(b). Give k*o(j) - 4*q(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2144 = -43*p + 8305. What is the remainder when p is divided by 119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52*82\/11193)\/(6\/14*1).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 8*r - 4. Let y be g(-7). Suppose -2*u - 16 = -2*o - y*o, 4 = o. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1657\/35 - -330\/7. What is the fourth smallest value in 0.3, z, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2165 + 2990. What is the smallest common multiple of j and 175?\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -0.3?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 1949 + 1303 = 0. Calculate the remainder when 2513 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (14 - (-9 + 4)) + -8 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 0*s**5 + 1\/15*s**6 - 28*s + 0*s**4 + 0 - 2\/3*s**3 + 0*s**2. What is the second derivative of r(h) wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4050780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 minus -1.888578091?\nAnswer: -103.111421909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 296.45822 - 0.24822. Let z = l + -301. Round z to 1 decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 9:36 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*l = 2, -5*n - 3*l = -l - 8. Suppose 9*k = 4*k + 20. Sort 3, k, n in decreasing order.\nAnswer: k, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 360.97 + 7.03. Let u = o - 246. Let f = u + -121.999943. What is f rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2 + 3*v - 5*v**2 + 2*v - 4*v. What is w(2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -271*r**4 - 31*r**3 - 2*r**2 - 5*r + 144.\nAnswer: -6504*r - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -501385*z**2 + 392631 with respect to z.\nAnswer: -1002770*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2 + 9186624*q - 64306221 = 0.\nAnswer: 7, 3062201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5*k**2 - 4*k**2)*(0*k + 3*k - 2*k) + (k**3 - 2*k**3 - k**3)*(-2 + 3 - 2) - 1324*k + 1324*k + 18*k**3.\nAnswer: 21*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/22)\/(6\/(-8)*1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48559955 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -43, -70, -97, -124, -151?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008643 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8026550 and 165410?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + w)*(1042*w - 80*w + 239*w).\nAnswer: 2402*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3*(-5 - ((-1165)\/15 + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*o + 30082640 + 148148355 - 40894039. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 - 3*b**3 + 5*b**3 + (-2 + 8 - 1)*(-2*b**3 + 0*b + 0*b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**2*p*t - 241*f**2*p + 3*f*p*t**2 + 42*p*t**2 - 2*p*t - t**2 with respect to f.\nAnswer: -8*f*p*t - 482*f*p + 3*p*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.2, -9, -4, 33, -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m*m**(-1))\/m))*m)**(-10\/7)\/(m**2*m*m\/m**(-1\/12))*m**3\/(m**0*m)*(m**(1\/4))**(6\/5) assuming m is positive.\nAnswer: m**(-107\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-7848)*12769 + (-18 - -5). Which is smaller: k or 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -609.9793 rounded to one dp?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, -17, -69, -141, -233, -345, -477?\n\"Answer: -10*h**2 - 2*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - -1. Suppose -2*z - z = -s. Suppose 21 - 57 = -z*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41+-38214\nAnswer: -38255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 5*p + 12*p + 11*p to x + z*p and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 2211?\nAnswer: -2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -59595?\nAnswer: -23838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.08 (c) -34\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467841 is divided by 133?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/9 (b) -1 (c) 87\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 - 3*t + 3. Let q be (-444)\/8 - 0 - 2\/(-4). Let b = q + 52. Give p(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133191\/95 - -1402. Let q = -4\/19 - w. Sort q, -0.5, 2, -4 in ascending order.\nAnswer: -4, -0.5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, s: 5}. Give prob of sequence lss.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 16 + -10 + -6 + 6 + 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + 6*(sqrt(130) + 2*sqrt(130) + sqrt(130) + sqrt(130)) - sqrt(130)*3*-1)\/(sqrt(10) + sqrt(20)\/(2*sqrt(2)) + sqrt(490)*2))**2.\nAnswer: 60112\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = 112 - 382. Which is the nearest to -1? (a) -4 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 - -4 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b - 1 + 5 - 3*b)*(15 - 90 + 251 + 264) as z + j*b and give z.\nAnswer: 1760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 4*o**2 - 2*o. Let r(c) = 7*c**3 + 49*c**2 - 2171*c + 19683. Let u(h) = r(h) + 8*s(h). Find q such that u(q) = 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 32 = 5*p - 11, -j = 4*p + 16. Suppose -j*v + 1 = -7. Let a(z) = 2*z + 2. What is the lowest common multiple of a(v) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g - 124*g - 4*o - 106 = 0, 4*g - 21 = 16*o - 11*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 4)\/(6\/(-8)). Let d be (-2094)\/n - 2\/4. Let k = d - -6815\/13. Is 1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/7))**(-1\/44)*o**(2\/41)\/o*o**(3\/8) assuming o is positive.\nAnswer: o**(-14471\/25256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -171*j**2 + 12194*j - 24380. What is w(2)?\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -2*a**3\/3 - 17*a**2\/2 + 40*a - 22. Find the first derivative of l(h) wrt h.\nAnswer: -4*h - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32923 = 2133*q - 2936*q for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o + 152 - 152 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 3*i - 1. Let b be z(4). Find the common denominator of -23\/4 and (b*-1)\/(10\/38).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**2 + w**2 + w - 2*w**2)*(3*w + 19*w + 13*w) to h*w + j*w**3 + r + i*w**2 and give j.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-334 + 993 - 331 - 327 + 97*a)*(-10 - 8 + 14).\nAnswer: -388*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*w = -274*w + 2280. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 times -42336?\nAnswer: -5673024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**3 - 164*q**2 - 1504*q - 1344 = 0.\nAnswer: -28, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -5*q + 40, k - 4*q - 2 = -22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6563 - 6?\nAnswer: 6558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 768270*-9.\nAnswer: -6914430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192782978 - 192782960.9999899. Let x = 17 - i. Round x to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p. Let m(t) = -t - 119. Give m(r(l)).\nAnswer: l - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 233524807045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.6 and -132525?\nAnswer: -477090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 14. Let t be k(11). Solve 5*n + 5*h = 30, 0*n = -t*n + 4*h - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 y, and 1 f when four letters picked without replacement from {y: 3, w: 4, f: 5}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 10*n - 318. Let y be t(34). Let m = y + 160. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 745*a**3*n**4 + 3215*a**3*n**3 - 3385*a**3*n + 6*a**3 - a**2 + 2*a*n + a - 3*n wrt n.\nAnswer: 8940*a**3*n**2 + 19290*a**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48585, -388707, -1311897, -3109689, -6073617, -10495215?\nAnswer: -16666017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -268419 + 268419.260019. Round n to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41054493\/7 or 5864929?\nAnswer: 41054493\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 14 = h, -2*a + 0*a = -3*h - 14. Suppose -5 + 11 = 2*i. Suppose -6*q + i*q + 21 = 0. What is the greatest common divisor of q and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 50 + 30 = 0, 0 = 5*l + 5*w - 25. Let i be l\/6 + 920\/69. What is the greatest common factor of 105 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77.79 + 0.29. Let z = q + 78. Put -2\/43, z, 2\/11 in ascending order.\nAnswer: -2\/43, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 6\/(-4))*2. Suppose v = -0*v + u. Solve v*r = 4*s - r + 28, 10 = 2*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -5e3?\nAnswer: 5df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -12*m**3 - m**2 - 3*m - 1. Calculate a(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.99. Let i = 0.31 + z. Let f = -1419\/13 + 109. What is the second smallest value in i, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -94.\nAnswer: 8\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 3, -2\/115, 1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2 + 1 + 1. Let r(o) = 3 - 3 + v*o. Let q(s) = 10 + 9*s**2 + s**2 + 9*s**2 - 10. Give q(r(z)).\nAnswer: 76*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a hour in seconds?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + -64 - (6501 + -6463).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*q - 12 + 30, -p - 2*q = 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -112212201?\nAnswer: -112220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 3*k**2\/2 + 53*k - 18. Let q be g(-17). What is the remainder when 2 + q + (-10)\/(-2) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1664 + 191?\nAnswer: 17f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15768 is divided by 1053.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -8608?\nAnswer: -688.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 8:03 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 468 = 4*p. Let m be ((-3)\/4*2)\/(p\/(-96)). Factor -8*q**3 + 22*q**m - 4*q**2 - 46*q**4 + 20*q**4.\nAnswer: -4*q**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1330*n - 3. What is the tens digit of h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -34 (b) 5 (c) 4 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2772000 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/2844 and 103\/7110.\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 u, 1 y, and 1 f when four letters picked without replacement from uuxjuufy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - 7)*(-2)\/4. Suppose 0 = -4*k - w*k - 3*q + 131, 3*q + 130 = 5*k. Let n = 43 - k. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*y - 0*f + 201, y - f - 77 = 0. Let c be 1 + (2\/8 - (-62)\/8). Calculate the greatest common divisor of y and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 23 + 13 + 58*t**2 + 7 - 66*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 39*q**8\/56 - 2*q**7\/21 - q**4\/6 + 41*q**2\/2 - 284*q. Find the third derivative of f(r) wrt r.\nAnswer: 4680*r**3 - 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*n - 59 = 0, -5*u + 94 = n - 4*n. Solve d - u = -d + 5*b, 5*b + 10 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*(7743 + 200*q - 7743) + q - 5*q + 3*q + (-1 + 0 + 3)*(-10*q + 6*q + 9*q) in the form v + a*q and give a.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/73 - 119\/219. Which is the fourth smallest value? (a) w (b) 1 (c) 0.09 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*f + 11 = 0, 7*a - 152 = -3*f + 45. Calculate the remainder when 3613 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 853 divide 140745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 3*f**2 - 2*f**2)*((-1 + 2 + 3)*(-f + 0*f - f) + (1 - 3 + 0)*(0*f + 2*f - 4*f) + f - f + 2*f - 2*f + 2*f - 3*f).\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34091\/20 - 1701. Calculate the common denominator of 97\/108 and v.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0027323 rounded to five decimal places?\nAnswer: 0.00273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/11 in -1\/4, 0.04388, -4?\nAnswer: 0.04388","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5 + 1 - 2 - 3. Let m(h) = 2*h - 12. Calculate -m(l) - 10*p(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 55.31 and -196.9.\nAnswer: -141.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87209044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(5) + sqrt(5) + -4)*-5)**2*-5.\nAnswer: -7625 - 3000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 4, -1.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8159814 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1615043663 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 6:55 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176 - 64 + 5442*x**2 - 2*x - 5793*x**2 - 254 - 58 wrt x.\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = -5. Let u = -17 + i. Is 15 a factor of 4\/u - (-122)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.7 - 5. Let t = -756 + 761.11. Let y = t - 0.11. What is the closest to d in 1\/6, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, k: 1, v: 4, i: 3}. Give prob of sequence avav.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7) - 2*916\/(-56) - 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/8 of a millisecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m = 4*q - 16, 0 = -m - 3*q + 7. Let t = m + 12. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 15. Find the second derivative of b**2 - 77*b + 15*b**2 + x*b**2 wrt b.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/12 and 53\/76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1001110 (base 2) to base 7\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -948, -3829, -8622, -15315, -23896, -34353?\nAnswer: -46674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 5*p**4\/12 - 10*p**2 + 22*p. Solve z(b) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4233*g + 1041322. What is t(-246)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26*((-16)\/84)\/(16\/(-56)))\/(2\/12)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 - 13*l**2 + 40*l**2 - 9*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = 0, -4*w - 5*o + 38 = -73. What is the remainder when w is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24381?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let d = 163 + -124. Suppose -17*v + d + 46 = 0. Solve i*r - r - 5*j - 17 = 0, -v*r + 3*j + 19 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -91. Let j(i) = 2*i + 194. Determine 13*c(h) + 6*j(h).\nAnswer: 12*h - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00281956 to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 643 and 171210967?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*n - 3*v + 3, -5 = -5*v. Let g be (n + 6\/(-2))*(-4)\/3. What is the derivative of z**4 + 15 - z + z - 3*z**g wrt z?\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-100 + 0\/(-1))\/1. What is the common denominator of (1555\/c + 1)\/(-3) and 57\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + 18. Let m = d + -26. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31755 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 7\/2, 4, 2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 - 4*r**2 + 6*r**2 + (-3*r + 0 + 0)*(16*r + r - 5*r) - 34 - 7*r**2 + 26 + 4*r**2 in the form f*r + w + a*r**2 and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 10*q**2 + q - 8. Let w be t(10). Suppose c + c - 3*d = -w, c - d = 0. Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 8) + 9 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 + (9 + 7 - 10) + (-12 - -17) + -2?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6*m - 8*m + 324 = 0, -5*m = -2*d + 289. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = b - 3*v - 36, 2*b + 2*v - 6 = 0. Suppose -4 = 2*n, -d + 4*n = b*d - 23. Let g = 2 - 1. Solve -g = z - d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 0. Let p be 12\/c*(-4)\/5. Suppose k = -2*o + 2, -5 = -3*k - 5*o - 1. Which is greater: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Suppose -4*r + 5*d + 11 = 0, 0 = -0*r + a*r + d + 7. Let q = r + 4. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9424 + 9424 - 2315*c**3.\nAnswer: -2315*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -7\/3*x**3 - 27 - 3*x + 3\/2*x**2 + 1\/4*x**4. Determine n(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3.5. Let l = -12 + 4. Let h = l + 7. What is the closest to h in -3\/5, k, 3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 27. Let t = 33.71 - 34.71. What is the fourth smallest value in -0.2, t, y, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 6*b - 6. Let j(u) = -u**2 + 6*u + 7. Let c(k) = -6*j(k) - 7*y(k). What is c(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70.1 - 70. What is the closest to r in 0.3, 8.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 35*w**2 - 194*w. Determine i(-28).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 0.867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*o - 14, 5*s + 4*o + 15 = -0*s. Suppose t = 5 - s. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 11*v**2 + 13*v - 8. Let k be i(12). Let o = -2\/103 - -111\/412. Factor -1\/4*g**k + 0 - 3\/4*g**3 - o*g - 3\/4*g**2.\nAnswer: -g*(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 29 - (-1)\/(3\/9). Let v = g - 32. Let q(c) be the third derivative of c**4\/24 + 5*c**3\/6 - 7*c**2. Determine q(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 5:56 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y = 22 + 29 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 5225?\nAnswer: 5211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 - 56*p**2 + 59*p + 39. Determine q(-29).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-255)\/(-10))*24*4*-1.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7904263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from ccpcphchpppcvmhh?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/3 - 4700*w**2\/3 + 132848*w.\nAnswer: 4*w*(w - 1083)*(w - 92)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 3*n**7\/35 + 7*n**5\/60 + 7*n**2 - 14. Let q(i) be the second derivative of a(i). What is the third derivative of q(x) wrt x?\nAnswer: 432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13732955 is divided by 178350.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4 - 3 - 3*a**2 - a - a**3 + 2*a**3 + 4*a**2. Let i be y(0). Let s = i + 45\/7. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffyyfff. Give prob of picking 3 f.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -182, -151, -70, 85, 338?\n\"Answer: 4*j**3 + j**2 - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*a = -45, -t - a + 9 = -0*t. Suppose -z + t = 2*z. Suppose z*q = 3*g - 7*g, -4*q - 1 = 5*g. Calculate the greatest common factor of 30 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16580?\nAnswer: 2, 5, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11451 + 6501. Let j = -1657 - m. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*sqrt(1666))\/(sqrt(98) - sqrt(98)*-3 - sqrt(98)))*2.\nAnswer: 2*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/99309 and 131\/42.\nAnswer: 198618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*k + 15, 5*k - 29 + 3 = -s. Let t(x) = 4*x - 4*x + 5*x - s. What are the prime factors of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Suppose 0 = 4*t - 0*n - n + 19, 4*t + 10 = -2*n. Let v = 0.05 + 0.25. Which is the third biggest value? (a) v (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -182 - -179. Put f, 2, -2 in decreasing order.\nAnswer: 2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3325 - -3324.87. What is the third smallest value in d, -1\/4, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126025394 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 407060787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12323*w + 13617*w = -2*y + 12, -12 = w - 2*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 12:12 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5277 - -5277.03274. What is k rounded to 3 dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) 2\/11 (c) -1\/40 (d) 0.2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1197 = 4*l - r, 0 = 6*r - 4*r + 2. Suppose z - 47 = k, -6*z - 3*k = -2*z - 160. Calculate the remainder when l is divided by z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -12*b**2 - 14214*b. Let z(h) = -4*h**2. Calculate t(z(r)).\nAnswer: -192*r**4 + 56856*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 4. Let u = 14 - 9. What is the greatest common factor of u and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**2. Let w(m) = -2423*m. Determine w(a(f)).\nAnswer: -16961*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9))**(1\/47)\/(((o*o*o**27)\/o)\/(o**(-1\/12)*o)) assuming o is positive.\nAnswer: o**(-45817\/1692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27164519 is divided by 128.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 7:55 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**3 - 3*w**4 + 6*w**3 + (-2 + 2 - 3)*(2*w - 2*w + w**4).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 1 - 1 = 4*z, -5689*i = -93*z - 5692*i - 285 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -413\/2 - -219. Let s = q - 12. Factor 0*o + s*o**2 + 0.\nAnswer: o**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t - 4427*t**4 + 4428*t**4 - 51*t**3 - t to g*t**3 + u*t**2 + k*t + v + f*t**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 9) in base 15?\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(448) + -2*sqrt(448)*-2.\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1644.9 + -1666.782. What is t rounded to one decimal place?\nAnswer: -21.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 12*b**2 - 2. Let g(o) = 6335*o**3 + 34*o**2 + 4*o - 530. Let f(q) = -g(q) + 3*x(q). What is the third derivative of f(d) wrt d?\nAnswer: -38010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4524 and 28?\nAnswer: 31668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 0.5, 0.07, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6897 is divided by 1377.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*f - 184*f + 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 1 - 2. Let r(f) = -14*f - 1. Let s(l) = -2*l**3 - 3*l**2 - l + 1. What is the remainder when r(m) is divided by s(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9849, -3, 14, 3, 2 in ascending order.\nAnswer: -3, 0, 2, 3, 14, 9849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37252 = -26*y + 36732 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 18*l**2 + 13*l + 19. Is o(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 16*v**2. Let i(n) = -14*n**2 - 5*n - 5. Let h(d) = -7*d**2 - 3*d - 3. Let y(q) = 5*h(q) - 3*i(q). Determine b(y(s)).\nAnswer: 784*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5769734?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 494, 1170, 2170, 3524, 5262?\nAnswer: 7414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -11) + -13 + -2 + -4 + 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 2*i - 2*i)*(-516*i + 268*i + 261*i)*(-i + 0*i + 0*i) to p + s*i + a*i**3 + m*i**2 and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-2\/5))*g*g)\/(((g\/g**(-4\/9)*g)\/g)\/g)*g**(3\/5)*g*g\/(g\/g**(-2)))**(23\/4))**(-19) assuming g is positive.\nAnswer: g**(-7429\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(132)\/sqrt(11) + sqrt(3))) + (sqrt(36)\/sqrt(192))**2)*2.\nAnswer: -4*sqrt(3) + 3\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 24*y**2 - 58*y + 36.\nAnswer: -2*(y - 9)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 206932*o - 11600736.\nAnswer: 4*(o - 56)*(o + 51789)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = z. Find the common denominator of -69\/10 and ((-67)\/(-42))\/(z\/(-12)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 1.408. Let b = -0.1 - f. Round b to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h**3 + 25*h**2 - h - 8. Let v(c) = -c**3 + c**2 + c + 1. Let a(z) = b(z) - 6*v(z). Calculate the remainder when 12 is divided by a(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t = 5, 0 = -j + 5*t + 40. Calculate the least common multiple of j and 24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-37)\/4)\/(5331\/(-14216))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by -57\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/9)\/(4\/6). Suppose -f*o - o + 20 = 0. Suppose c - o*c = -45. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15771 and 483?\nAnswer: 362733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 - -39. Let j = g + -4. Let m = -86.4 - j. Put -1\/3, m, 0.5 in descending order.\nAnswer: 0.5, -1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 25.7. Suppose -9*i + 18 = -0. What is the nearest to 0.1 in i, j, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, w: 5, h: 5}. What is prob of picking 2 z?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 4*f**2 + 5*f - 5. Give t(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, o: 5}. What is prob of sequence too?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79337, -79400, -79449, -79484, -79505?\nAnswer: -79512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1.1, 0.7, -69, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**2\/2 - 4. Let w(v) be the first derivative of 3*v**2 + 1. What is -3*p(f) - w(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**6*n))**(17\/3)*(n**(-1\/11)\/n)\/n*n*(n\/(n\/(n*(n\/((n\/n**(1\/6))\/n*n)*n)\/n))*n)\/n*n assuming n is positive.\nAnswer: n**(-2173\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 2:04 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(0 + -1 + 11). Suppose -6 + 51 = -9*s. What is the remainder when 44 is divided by s\/(z\/(-32))*6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) 3 (c) -0.17 (d) -11 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 15 = 19. Let k = 21 + o. Find the second derivative of 2 + 0 - 4*w - 2 + 2*w**k wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.4 + 35. Which is the nearest to 1? (a) -3 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5646*z - 5642*z + 4*t + 48 = 0, -8*z - t - 12 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48.000000535 + -48. Round y to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 10371868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 11 + (-6 - -6) + 22 + -36 + 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -225\/8 + 231\/8. What is the third smallest value in p, 5, -5, -1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -8, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 4*o + 84, 8*s - 696099*o + 159 = -696098*o for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -94, -147, -222, -319?\n\"Answer: -11*u**2 - 20*u - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/46 and -61\/23181.\nAnswer: 1066326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -113*s**2 + 10*s + 1. Let w(o) = -168*o**2 + 14*o + 1. Calculate -7*r(j) + 5*w(j).\nAnswer: -49*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6615.66 milligrams in grams?\nAnswer: 6.61566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*h = -20, 0 = -4*j + 5*h - 16 - 0. Let y(c) = -7*c. What is the remainder when 111 is divided by y(j)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3775515 (base 8) to base 12.\nAnswer: 426151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2311300074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154835968 and 512?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1933826 divided by 2\nAnswer: 966913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(18) + sqrt(2) + (sqrt(162) - (-2 + sqrt(162)))**2 + sqrt(2).\nAnswer: 3 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12989 + 7507 = 488*b for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 1:18 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0, 23\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 252*y - 509*y + 5 + 3*y**2 + 263*y. Let t(s) = 9*s**2 + 17*s + 14. Let f = -4 - -10. Give f*t(c) - 17*w(c).\nAnswer: 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -58469428 divided by 4?\nAnswer: -14617357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.347*-3\nAnswer: 1.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36620 = -30*d - 7460. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2. Let q(r) = 26 - 58 + 19 + 23 - 26*r. Let z(p) = -13*p + 6. Let j(m) = 3*q(m) - 5*z(m). What is j(l(x))?\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v**2 - 13*v - 16. Is j(-19) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15)\/z)**(3\/14)*(z\/z**(-2\/21)*z)\/(((z**(-25)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(5849\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 7*z**2 - 14*z + 28. Suppose -3*p + 58 = 4. What is the least common multiple of p and j(5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Let n(o) = o. Let b be n(r). Let v(z) = z**3 - z**2 - z. Let s(x) = 5*x**3 - 3*x**2 - 3*x - 7. Let l(a) = s(a) - 4*v(a). Give l(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-9))\/((-20)\/15 + (-16)\/(-32)). Factor -1\/5*d**2 - n*d - 3.\nAnswer: -(d + 1)*(d + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58142 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -790 - -830.9. Let r = q - 40.9796. What is r rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 5)*15\/9. Suppose -4*b + 5*m = 35, -2*b + 1 = k*m - 4. Let s(n) = -4*n - 6. Calculate s(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239891909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36126971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -34. Suppose 2*g + 6*i = 7*i + 8, -5*g + w = -3*i. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147 - -154. Let i(r) be the third derivative of 1\/240*r**6 + 2*r**2 + 0*r + 0*r**4 + 0*r**3 + 0 + 1\/840*r**q + 0*r**5. Solve i(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 2*u**2 - 2 - 3 + 6*u - 15*u. Calculate t(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 31231672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 652153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 123, 284, 509, 798, 1151?\n\"Answer: 32*h**2 + h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 11.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p - 60. Let w be n(-20). Let v be (-6)\/w*1*(-30)\/8. Let y = 3\/8 + v. Which is the biggest value? (a) 0.3 (b) -1\/8 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 + -82. Let z be (6\/21 + (-25)\/(-35))*-13. Let j = -13 - z. Which is the nearest to j? (a) -1 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 7*k + 13. Let t be g(-2). Let x(j) = 208*j - 108*j + 3*j**2 - 104*j. Determine x(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/98 + (-54)\/(-140). Let c = -1.2 - -0.2. Sort u, c, -2\/9 in decreasing order.\nAnswer: u, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -1118, -3581, -8328, -16121, -27722, -43893, -65396?\nAnswer: -92993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1841)\/14595 + ((-368)\/(-120))\/23. Put 5, -3, -0.3, z in ascending order.\nAnswer: -3, -0.3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.7063 - -7.62. Let p = a - 7.8037. Round p to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9420692263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 162 - 1347. Is x at most as big as -1185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/14 and 2\/6*34\/3?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from mmkroao?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 5. Let w be c(5). Calculate the remainder when 11 is divided by (-12)\/(-6) + (w - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14026, 14029, 14032, 14035, 14038, 14041?\n\"Answer: 3*b + 14023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 15*d**2 + (-4 + 4 - 2)*(-3*d**2 + d**2 + d**2).\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -990, -1904, -2816, -3726?\n\"Answer: s**2 - 917*s - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1171293048 divided by -624024?\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -203203 - -93203. What is p rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 147808.7 and 4.\nAnswer: 591234.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + x + 4*x)*(-34 - 56 + 16)*(-2 + 0 + 4) to g + u*x and give u.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*p + 4, -7*p - 3*h + 2 = -3*p. Let c = -2 - p. Let r = 5 - c. What is the least common multiple of 5 and r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 4*d + 8, -51 = -5*c + 2*d - 69 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5688*l - 9187*l - l**3 + 3499*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = 4*y - r, -9*r + 7*r = -2*y - 88. Let m = -37 - y. Suppose 3*x - 5 = 4. Solve m*a - x = 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 4*m + 50 = -z - 4*m + 4, 114 = 3*z - 18*m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 265850421 to the power of 1\/2, to the nearest integer?\nAnswer: 16305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 861183*n**4 - 14695114?\nAnswer: 3444732*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 3. Let i = 5 - 9. What is u(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 364.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5)\/3)\/((-390)\/65 + 141079\/23514)?\nAnswer: 2, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.205 - -0.395. Let p = -6.064 + -0.036. Let y = p + j. What is the smallest value in y, 7, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6) + (-3 + -3 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2447585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*s**4 + 822*s - 3*s**3 + 3*s**3 + 15*s wrt s.\nAnswer: 444*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 15*b**2 + 2*b. Let p(s) = 4*s - 16. Let f be p(5). What is the hundreds digit of o(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by -22538?\nAnswer: 89\/22538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 6*l - 7. Let h be v(-5). Let i be (-122)\/(-8) + h\/8. Suppose -3*o = -t - 8, -7*t + 4*o = -2*t - i. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 19 = 25. Let v = 1 - i. Does 7 divide v\/(1 - -2)*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 1. Let w be 2013\/6 + m\/4. Suppose -5*g - w = -10*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14110934*j + 31 - 14111199*j - 12697*j**2 - 6 wrt j.\nAnswer: -25394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*(sqrt(136) + 5*(sqrt(136) - (sqrt(136) + -1*sqrt(136)))))\/((sqrt(200) - ((sqrt(200) + (sqrt(200) - 2*sqrt(200)))*-2 - sqrt(200)))*-6).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-2135)\/(-630)*(-18)\/(-15)*3.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 58, -2\/3, 4, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2999, -5856, -8607, -11228, -13695?\n\"Answer: 4*p**3 + 29*p**2 - 2972*p - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 434, 435, 436, 437, 438?\n\"Answer: x + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 675 and 164025.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p + 33*p = -3*h - 10, 0 = -2*p + 4*h + 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 20. Let t be l(7). Let r be ((-1)\/t)\/((-9)\/(-45)). Suppose 0 = -r*c + 420 + 160. What are the prime factors of c?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/5)*x**(-6)*x\/(x\/x**(-1))*x**(-2\/19)*(x**1)**(-1\/24)\/((x**(-1\/2)\/x)\/x)**(-3\/2) assuming x is positive.\nAnswer: x**(-25301\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -4 + -58 + -27 + 10.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2743955, -2743954, -2743953?\n\"Answer: p - 2743956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -14, -24, -36?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 4\/7 (c) -52\/11 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 5) to base 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*r = -196*r + 9*r - 3968 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29751.9 - -27744. Let l = -2189 - x. Round l to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-4 + -47 + (-11 - -1) - -5)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 195576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25 - n**3 - 25 + 59 wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l + 4*l + 13*l)*(-3*l**2 - l**2 + 3*l**2 + (-2*l + l - l)*(l - 2*l + 2*l) + 10*l + 7*l**2 - 10*l - 7*l**2 + 2*l**2 + 3*l**2).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 1, -4\/7, -0.5, 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1624.210037 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2*-1339233.\nAnswer: -2946312.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1315\/55 + (5694\/(-247) - -23 - (-30)\/209)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000069981 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 164061155 (base 7) to base 5\nAnswer: 10331111433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 347 + -346.787. Let s = 0.213 - q. Put s, 2\/7, -0.1, -1\/4 in decreasing order.\nAnswer: 2\/7, s, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84937\/362 or -236?\nAnswer: -84937\/362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*((-1425)\/(-1275) + (-6)\/51). Let r(l) be the third derivative of l**6\/120 - 2*l**5\/15 + 7*l**4\/24 + 2*l**2. Calculate r(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 1213, 3656, 7309?\nAnswer: 12172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7301 - -145767667?\nAnswer: 145774968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-4))\/j)\/(j**1\/j))**(-4\/13)*(j*j**(-4))\/j**4*(j\/(j\/(j\/j**(-1))))**(-1\/5) assuming j is positive.\nAnswer: j**(-561\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shz when three letters picked without replacement from {h: 1, s: 1, o: 1, t: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddndnddddn. What is prob of sequence dd?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17321796?\nAnswer: 2, 3, 160387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 5 - (11 - 11) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(36)\/sqrt(2))\/sqrt(6) + sqrt(33)\/(2*sqrt(11)))*-6*-3.\nAnswer: -54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*m - 5*q - 26, -m + 11 = 5*q. Solve -m = -y - 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14492334 is divided by 14492318.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*a = -15, 47*p - 40*p - 10*p - 5*a + 9 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 703261*l + 703288*l - 1406573*l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4 + 76*g**3 - 4120*g**2 + 27792*g + 181440 = 0. Calculate g.\nAnswer: -70, -4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, -0.0048, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-81)\/(-15)*150\/9 is divided by 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 24*h**2 - 181*h + 6. Let p(a) = 70*a**2 - 541*a + 17. Determine 17*g(t) - 6*p(t).\nAnswer: -12*t**2 + 169*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5381.\nAnswer: 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i + 9*i + 2*i)*(-i + i**3 + i) + (3*i + 1 - 1)*(0 + 0 + i**3) - i**4 + 4*i**4 - i**4 - 2*i**3 + i**4 + 2*i**3.\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -798*d + 798*d - 5*d**3 + 8*d**3. Let l(f) = f**3. What is 6*b(i) - 17*l(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1096 + 3399 = 31*r. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 14*j**2 + 35*j + 48.\nAnswer: -(j - 3)*(j + 1)*(j + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-74 - -73)\/((-1)\/(1 + 80)). What is the remainder when c + 3 + -11 + 4 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*d**2*y + 294844*d**2 - 33*d*y**3 + 2*d - y**3 wrt y.\nAnswer: 51*d**2 - 99*d*y**2 - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1297\/3222 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6) + (-1302)\/(-9). Let r = s + -96. Suppose 3*i + 61 = 436. Calculate the highest common factor of i and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 715 and 4570?\nAnswer: 653510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-3)*(-1416)\/1180. Determine j so that 12\/17*j**3 + 0 + 0*j - 18\/17*j**2 - 2\/17*j**g = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 24. Let v = x + -31. What is the remainder when 162 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/11)\/d**(2\/15))**20)**41)**(-4\/33) assuming d is positive.\nAnswer: d**(34112\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/17757792 and 1\/607104.\nAnswer: 71031168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18) - (-12 - 16688\/(-1386))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z - 60 + 74. Find the second derivative of 59*b**z - 89*b - 2*b + 112*b**2 + 51*b**2 - b**2 wrt b.\nAnswer: 442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-4*(sqrt(700) + -3))**2 + (sqrt(7) + 1 + (sqrt(7) + 1 - sqrt(7))**2 - sqrt(7)) + sqrt(112) + -3).\nAnswer: -5736*sqrt(7) + 68058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -10, 8, 44, 104, 194, 320?\n\"Answer: j**3 - j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 498, -52, -1288, -3564, -7234, -12652?\nAnswer: -20172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-8)\/6) - -1. Let t = -1 + m. Differentiate t*w - 3*w - 731 - 2*w**2 + 720 with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 647650*h - 5181520.\nAnswer: 5*(h - 129538)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 20*i + 18. Put 1, 2, 4, i in descending order.\nAnswer: 4, 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-20))\/((-6)\/24).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -60*r + 2. Let s be t(2). List the prime factors of 3\/12 + s\/(-8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15753 (base 8) in base 14?\nAnswer: -2867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*c**3 + 37*c**2 - 3093*c wrt c.\nAnswer: 156*c + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 545046 divided by 1672\nAnswer: 272523\/836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-1 + sqrt(171))*-6 - (sqrt(171) + (sqrt(171) - 3*-2*sqrt(171)) + sqrt(171))) + -3 + 0)**2 + 1 + -5.\nAnswer: -630*sqrt(19) + 38520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 97088, -121 in decreasing order.\nAnswer: 97088, 0, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -21625*n**2. Let i(l) = 3*l. Calculate m(i(t)).\nAnswer: -194625*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*g - 257*g + 350*g - 998*g - 1038*g as d + p*g and give p.\nAnswer: -1963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1653413 divided by 234\nAnswer: 1653413\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, c: 7, g: 1, o: 7}. Give prob of picking 1 h, 1 g, and 1 c.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 12. Let o(i) = -3*i**3 + i + 2. Let r(x) = -15*x**3 - x**2 + 6*x + 10. Let g(m) = z*r(m) - 11*o(m). Calculate g(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**2 - 300610*s - 4518318605 = 0. What is s?\nAnswer: -30061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 28 = o. Suppose 4*l - 12 = 4*h, 5 = 5*l + h - o. Calculate the smallest common multiple of (-140)\/(-18) + l\/(-18)*-2 and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (71 - 62) - (-1 - 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3348224*c**5 + 85204*c**2 + 17*c wrt c?\nAnswer: -200893440*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 25 + 8 = 5*v, b = 3*v + 6. Let k be (-15 - 0)*5\/v. Suppose -5*w = r + r - k, -10 = -2*r. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 7:44 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 <= 532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.35117 and -0.114?\nAnswer: -0.04003338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6421 rounded to two decimal places?\nAnswer: 1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3.3+-309\nAnswer: -305.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.85348 rounded to two decimal places?\nAnswer: 6.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13203585?\nAnswer: 3, 5, 293413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (55*(-24)\/180)\/(2\/(-3))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*4*(-9)\/54.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/6)\/(2\/4). What is the lowest common multiple of 12 and (u + 0)*(-11 + 9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.153695 litres in millilitres?\nAnswer: 1153.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4 + 116*v**3 + 3254*v**2 - 10544*v + 7176 = 0.\nAnswer: -23, 1, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 4*p**3 - 2*p**3 + 3*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, and 1 o when three letters picked without replacement from jjqkjkjkgkjqgqjqjo?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 7. Let u be x(7). Let j(z) = z**3 - 2*z - 324. Let t be j(u). Let v be ((-9)\/(t\/16))\/(-10). Is 0 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (184\/(-64) + 3)*(-46 + -14)\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 197100 and 24975?\nAnswer: 7292700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + -0.1. Let y = -0.8 - -0.9. Let p be ((-36)\/(-33))\/((-9 + 1)\/(-4)). Which is the closest to -0.1? (a) z (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1\/2, 2\/7, -79113 in increasing order.\nAnswer: -79113, -1\/2, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002183926 to six dps.\nAnswer: -0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and -1 + 12 + (-136)\/(-8).\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-3)\/(-12)*2. Suppose 0 = 4*t - 14*k + 19*k - 49, 2*t - 3*k - 41 = u. Solve -5*y + 0*y = -3*f + t, 3 = -f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -s + 152, -b + s + 107 = 2*b. Calculate the common denominator of 1*(-6 + (-134)\/(-4)) and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329117 is divided by 3357.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(13) + -5 + -1 + sqrt(13) + (sqrt(208))**2.\nAnswer: 2*sqrt(13) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(7*(-20)\/(-2415)*(-48)\/(-32)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5616) + sqrt(5616)*-2)\/((sqrt(45)\/sqrt(3))\/sqrt(5)) - ((sqrt(832) - (-1 + sqrt(832)))*-6 + sqrt(832))**2*-5.\nAnswer: -492*sqrt(13) + 4340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-4 - -3)\/4). Suppose 4*m + n = x, -5 = -2*m - 3*m + n. Let l(w) = w**2 + m + 9 - 4 - 7*w. Determine l(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -29, -14, 19, 76, 163, 286?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 + -111. Put -1, 0, v, -32 in descending order.\nAnswer: 0, -1, v, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 860306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20098*h - 4282*h - 2*h**2 + 16121*h.\nAnswer: -2*h**2 + 31937*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.02 - 0.02. Let p = 50 + -50. Put b, p, 5, 0.2 in ascending order.\nAnswer: p, 0.2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 106112, 212010, 317908?\n\"Answer: 105898*o + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**2 - v - 2. Calculate o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -1\/6*p**3 + 187 + 0*p + 33\/4*p**2. Factor c(t).\nAnswer: -t*(t - 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36 - (-8)\/4) + -1. Let m = a + 79. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - x - 2. What is m(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 + -111. Suppose d = 34*w - 36*w. Is -13\/3 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (4 - 0)) + 1. Let f = -1 - k. What is the first derivative of -2 - j**2 + f + 0*j**2 wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 7:11 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59936 rounded to the nearest one hundred?\nAnswer: 59900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*w = 375*w - 1104 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*g**6 - 952022*g**4 + g**3 + 274736456*g**2.\nAnswer: -1200*g**3 - 22848528*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 9:32 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 2. Let i(c) = 4*c - 5. Let y(m) = -2*i(m) + 5*o(m). Let b(w) = 7*w**2. Determine y(b(z)).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3519 - -6989?\nAnswer: 10508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**2*q**2 - 6*j**2*q - 532631*j**2 - j*q - 3*q**2 wrt q?\nAnswer: -4*j**2*q - 6*j**2 - j - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 5, b: 5, r: 5, x: 4}. Give prob of picking 1 r and 1 m.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r**2 - 4*r + 3. Suppose -7*h = -h - 18. What are the prime factors of i(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14704404 (base 8) in base 15?\nAnswer: -46aaac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-6 - -22) + -39?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (2 - (6 - (7 + -1 + 2)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r - 10. Let c be 28\/(-2 - 2) + 4. What are the prime factors of s(c)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6485?\nAnswer: 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 4*t - 2*t - 216, 3*t + 79 - 151 = -3*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.39 - -5.39. What is the third biggest value in i, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60349 > -422453\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 2*x**7\/7 - 11*x**3\/3 + 6. What is the third derivative of l(q) wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/5))**(-3\/25)\/((z*z**(2\/9)*z)\/z**(-10)) assuming z is positive.\nAnswer: z**(-13831\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 49 = -449. Calculate the greatest common factor of 15 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.2 and -693708 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) + (-7)\/5. Let m be (-3 + (-38)\/(-12))\/w. Let u = 0.1 - 0.2. Which is the nearest to -0.1? (a) u (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*i = -253 + 101, 2*g = 2*i + 68. Let t be 107\/(-3) + ((-55)\/33)\/5. Let b = g + t. Is b < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1758614 and 52\/7.\nAnswer: 12310298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9*l = 6*l - 30, 4*l = 4*z - 136. Let t = z + 144. List the prime factors of (t\/7)\/(2 + (-50)\/28).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + sqrt(44) + 2 + ((sqrt(11) - (sqrt(1584) + 2*sqrt(1584))) + 4)**2 + -1.\nAnswer: -278*sqrt(11) + 13498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -10. Suppose -3*k + 0*k = -s. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + sqrt(13) + 1 - ((sqrt(325) - sqrt(325)*2) + sqrt(325))) + -3.\nAnswer: -7 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-86 - -53) + (-1 - -11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 3619*h - 3614*h + 120, 0 = h + 26 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 42\/18 - (-97)\/3. Suppose 2*g + 0*l - l = d, -5*l + 27 = 2*g. Factor -14*q**2 + 2*q**3 + 32 - 4*q**3 + 0*q**3 - g*q.\nAnswer: -2*(q - 1)*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 4. What is s(-18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let l(n) = -3*n - 1. Let f(w) = -3*l(w) + 7*u(w). Let q(j) be the first derivative of -j**2\/2 - 30. Give q(f(o)).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907103 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 -k + 2*d + 25 = -d, -5*d - 79 = -3*k. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide -12*((-4)\/(-3) + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o - 3*r + 19, 4 = 4*r. Let h = 8 + -12. Let m = h + 4. Solve m = o*g - 9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 19*s - 410. Calculate t(16).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 686 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*u**3 + u - u**4 + 24 - 2*u**2 - 13 + 0*u - 9 to the form c*u + d*u**2 + r*u**3 + k*u**4 + g and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 13*r**2 - 140*r - 3665. Let c(t) = 25*t**2 - 270*t - 7331. Let b(a) = -4*c(a) + 7*q(a). What is the first derivative of b(g) wrt g?\nAnswer: -18*g + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15141657*w**3 + 27*w**2 + 411*w wrt w?\nAnswer: -90849942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/9 - 68*v**2\/9 + 124*v\/9 + 364\/3.\nAnswer: 4*(v - 13)*(v - 7)*(v + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3472016 to 3 decimal places.\nAnswer: -0.347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1339 divided by -1.\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**(-1)*h)\/h*h)\/(h**(-3\/7)*h))**48 assuming h is positive.\nAnswer: h**(480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.62 + 0.32. Let g = o - -0.9. Which is the second biggest value? (a) 0.5 (b) 1\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyxyyydybxbbbyby. What is prob of picking 2 x?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 18*w**2 - w + 7. Let b(r) = -10*r**2 + r - 4. Give 11*b(u) + 6*z(u).\nAnswer: -2*u**2 + 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8360*k**3 + 121*k**2. Let d(y) = -418*y**3 + 6*y**2. Calculate -6*c(v) + 121*d(v).\nAnswer: -418*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793377?\nAnswer: 3, 13, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/6 (b) 17 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 3336. Let i = z - 1475. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8448, 3591, -1266, -6123, -10980?\n\"Answer: -4857*x + 13305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6010 + -7?\nAnswer: -6017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5577\/(-1287))\/(13\/(-219)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/120367 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5410*u**4 - 178*u**3 + 411*u - 28855.\nAnswer: -64920*u**2 - 1068*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.062342 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 3*p + 3. Let t be s(-2). Let z be (-53)\/(-6) - t\/3. Let n = z + -189\/22. Put n, -3, 1\/4 in descending order.\nAnswer: 1\/4, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oseqqsq. What is prob of sequence se?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 4*l + 7. Let f be i(5). Suppose 2*s = 5*k + 18, -f*s + s = 5*k + 6. Let n be k\/(-10)*15\/(-2). Is n greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8144*m**4 + 5541 wrt m.\nAnswer: -32576*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 5:42 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -b63?\nAnswer: -b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16535219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4879677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**2. Let m(f) = 9*f + 16*f - 6*f. Determine c(m(z)).\nAnswer: 3249*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -133, -284, -497, -772, -1109?\nAnswer: -1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 - 5*d**3 + 2*d**3)*(-11 + 11 - d**2) - 12*d**4 - 63*d**5 + 12*d**4 - d**5 + d**5 + 2*d**5.\nAnswer: -63*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o + 10 = -28. Let c(b) = -b**2. Let n(r) = -8*r**2 - 3*r - 2. Let j(d) = -6*c(d) + n(d). Determine j(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9972*c**3 - 10006*c**3 + 39988*c**3 - 9987*c**3 - 10020*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - 561*g**3 + 3 + g**2 - 545*g**3 + 1089*g**3 to the form q*g**2 + t + o*g + w*g**3 and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1116 (base 8) to base 15\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5196 by 1732.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-1 - -3) + 127 + -118).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/11)*q**(-1\/13))**(-49) assuming q is positive.\nAnswer: q**(-2009\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*k - 193*k - 346. Is k > -15\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1141 - -0.0859. Which is the nearest to 0.1? (a) 2 (b) v (c) 6 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 739\/4 + -185. Which is the second biggest value? (a) 4 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 52*s**2. Let g(q) be the third derivative of q**7\/1260 + 31*q**4\/24 - q**3\/3 + 51*q**2. Let v(n) be the second derivative of g(n). What is v(w(m))?\nAnswer: 5408*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10929276071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5332, -10666, -16000, -21334, -26668?\nAnswer: -32002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 4*w**2 - 2*w - 5. Let o be y(-4). Suppose 2*d = -3*c, 5*c = 3*d + o + 16. Differentiate -3 + c + l**3 + 0*l**3 wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 13855?\nAnswer: 2\/13855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131.0638 - -0.0638. Let o = l - -131.4. Let s(j) = j**2 - 2*j + 3. Let w be s(2). Sort w, o, -0.06.\nAnswer: -0.06, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2916 divided by -90.\nAnswer: -162\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18886442513 and 238.\nAnswer: 18886442751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.064, -5, -0.3, -0.4 in decreasing order.\nAnswer: -0.064, -0.3, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25431758 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 3:32 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, c: 8, a: 2, s: 1, e: 4, g: 1}. What is prob of picking 2 c and 1 a?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/99 - 19258\/105556. Let v = n + 152350\/21591. Calculate the common denominator of -17\/33 and v.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7 + 36\/7*w**4 - 17\/7*w**2 + 1\/7*w - 3*w**3 = 0.\nAnswer: -1\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/6)\/(8\/72). Is 13 a factor of -32 + u - (-535 - 0) - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66*a**3 + 372?\nAnswer: -198*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/((-26)\/396)*(-8)\/(-6). Suppose -9*g = -6*g - f. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5\/3, 2220, -2\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*f - 62*f + 362*f**5 + 365*f**5 - f**2 - 742*f**5 wrt f.\nAnswer: -900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 3\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-4)\/f)*f*f\/(f\/f**(-2))*f*f)\/(f**(-1\/3)*f**(1\/2)))\/(((f\/(f\/((f*f**1)\/f)))\/f)\/f**8*(f*f**8*f)\/f*f**(-6)*f) assuming f is positive.\nAnswer: f**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/1)\/((-2)\/20944172). Suppose -5*z + 2*z = 2*d + o, -4*d - 20944174 = 3*z. Let p = 581390 + z. Round p to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -13*p**3\/3 + 13*p**2\/2 - 8. Find the second derivative of m(a) wrt a.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4472517?\nAnswer: 3, 7, 89, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1276902, -2553814, -3830732, -5107656?\n\"Answer: -3*v**2 - 1276903*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 75204, 300760, 676674, 1202958, 1879624?\n\"Answer: 2*n**3 + 75167*n**2 + 41*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 233901?\nAnswer: 1169505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -6\/13559, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, t: 1, a: 2, c: 1, h: 1, u: 1}. Give prob of sequence nac.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -446, -1508, -3576, -6986, -12074?\nAnswer: -19176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -29, -0.3 in descending order.\nAnswer: 0.9, -0.3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*f + 4*p = 116*f - 4, 3*f + 5*p = 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158 - 120. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 7909*d - d**2 - 7893*d - 8*d**2 to t*d + m + g*d**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 95*a**4\/4 - 1025*a**3\/4 + 465*a**2\/2.\nAnswer: 5*a**2*(a - 1)*(19*a - 186)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -69 = -952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.9 + -24. Let c = -3 - -5. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9691717125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) - (sqrt(833) + -1 + sqrt(833))) + sqrt(17))*-3)**2 + (sqrt(2448) + 1 - (sqrt(17) + (sqrt(1700)*1 - sqrt(1700)) + sqrt(1700)))**2.\nAnswer: -106*sqrt(17) + 5535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f - 47 = -23*f + 9*s, -f - 4*s = 102 - 81 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 3\/4 (c) 7374 (d) -0.4 (e) 2 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -17*p + 1. Let l = -47 + 49. Suppose 2*y = -q - 28, l*y = 5*q - 5 + 1. Does 41 divide m(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 293866832 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 = -4*m + 1, 5*z + 15 = 0. Let a = -4 + m. Let h(y) be the first derivative of -y**2\/2 - 2*y + 44. Determine h(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 253 - -1163?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30775 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*1*(13 + -7). Let u be (140\/8)\/(-7)*t. Solve -4*n + u = -0*f + 2*f, -n + 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(2) + sqrt(14)\/sqrt(7) + -5)**2 + 4*(sqrt(2) + 4) + (sqrt(126)\/sqrt(7) + sqrt(18) - sqrt(18))\/sqrt(9).\nAnswer: -35*sqrt(2) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-6)*3\/(6\/(-56)). Suppose -9*s + 141 = x. Calculate the smallest common multiple of 4 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2764, -5510, -8246, -10966, -13664, -16334?\nAnswer: -18970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29789701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*u - 2*u = -50, -5*a = 4*u - 95. Suppose 4*t - a = t. Suppose -m + 5*p + 50 = 0, -2*m + t*p = -50 - 30. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1551 (base 6) to base 15\nAnswer: -1d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byda when four letters picked without replacement from abadadadybebayydaaa.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 s when four letters picked without replacement from {s: 3, a: 6, e: 2, x: 3, m: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 164232*t*w - 92993*t wrt w.\nAnswer: 164232*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 724041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -451316, -451318, -451320?\n\"Answer: -2*i - 451314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*z**2 + 3*z**6 - 16*z**6 - 5*z**6 wrt z.\nAnswer: -2160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1 = -16. Suppose n - r = 4. Let w be 1020\/306*3\/2. Solve 6 = -4*l - 2*o + n*o, -7 = -w*l - o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2487\/1658 - (-89)\/12 - (-6)\/8.\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 2 - 18\/(-14). Let q = 5.74 - -1.26. What is the closest to -3\/5 in q, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-126)\/14*6\/18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026081517 to six decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b + 13. Let y(c) = -4*c**2 - 31*c + 4. Let x be y(-8). What is o(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + (1 - 5) - (-9 - -16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - z - 2. Let s be t(-2). Let k = -4 + s. What is the first derivative of 0*i**2 + k*i**3 + 0*i**2 + 3 + i**3 wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 42 + -1 + 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/28 and -9\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44340 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/7 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/11 - 5622*v\/11 + 5624\/11.\nAnswer: -2*(v - 1)*(v + 2812)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*l**3 + l**2 - 4*l + 26 wrt l?\nAnswer: -318*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2965.\nAnswer: 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -215076.9 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 14*i + 700*i + 14 + 13 - 37. Does 22 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 3*a**2 - 2*a - 1. Let u(w) = 2*w**3 + 19*w**2 - 9*w + 13. Let d be u(-10). Suppose d*o + 6*o + 27 = 0. Give k(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-7)\/(-2) + -4)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - q**2 - 3*q**2)*(0 - 2 + 0) + (45 + 132 - 399)*(-3*q**2 + 3*q**2 - q**2) in the form l*q + v*q**2 + z and give v.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**3 + 168*p**2 - 3*p + 110. Calculate c(-42).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/255?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-201495)\/(-3030) + 172\/(-8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/8 - (-3)\/12)*1. Suppose 4*a + 3*s + 7 = 0, h*a = 2*a + 3*s + 19. Find the third derivative of 146*w**6 - 6*w**a + 25*w**2 - 151*w**6 wrt w.\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/1)\/(74\/1). Let v = -39 + 38. Is v at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-43)\/7 + 2. Let j = -15 - -8. Let o = 8 + j. Which is the closest to o? (a) 1 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2660 or 0.01192?\nAnswer: 0.01192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*h - h**2 - 48*h + 7*h**3 - 57*h - 2 as l*h**2 + b*h**3 + d + y*h and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**2 + 375*z + 2045. Determine c(-5).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3876 = -z + 38*z. Solve -106 = 2*x - z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -22. Let p = c - -20.99. Is -1 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373*c**5*h**2 + 12*c**2*h + 2*c*h**2 - 5*c*h wrt c.\nAnswer: 22380*c**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4617\/59 <= 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5550.726 rounded to the nearest ten?\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/6 and 36\/268177.\nAnswer: 1609062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 237, 482, 719, 942, 1145, 1322, 1467?\n\"Answer: -j**3 + 2*j**2 + 246*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 432.927951 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 14 = 3*c. What is the greatest common factor of c and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0094922995 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2457*n**3 + 9*n - 51?\nAnswer: -14742*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/5 (b) -9.9 (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) + (-15)\/36. Let d be 7*18\/315 + (-38)\/20. Which is the nearest to -0.2? (a) -4 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -670 + -2a370?\nAnswer: -2aa30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11715 and 15246.\nAnswer: 5412330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 30 = -6*c. Suppose c*i = -2*y - 3*y + 121, 0 = 5*y - 5. What is the remainder when (0 + 46)*10\/4 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 587 and 6.\nAnswer: 3522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -75. Let g = 268 - z. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - 4.8. Let u = 14 + -13. Let n = z + u. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31420 is divided by 864?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-8 + -3 - -17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.598 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 106\/9 + (154\/(-63))\/(-11). Let b(z) be the first derivative of 7\/2*z**2 + 0*z + x - z**3. Find the second derivative of b(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04 and 6339437.\nAnswer: 6339437.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(2 - (-1)\/(-1)). Suppose 4*m - 3*t + 5 = 0, -4*m + 4*t - f = 7. Put m, -5, 2 in descending order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, -6, 0.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 212.6829ms?\nAnswer: 212682.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(48) + -1 + sqrt(3)*-1 + 4 - (5*(sqrt(60)\/sqrt(4) + sqrt(15)))\/sqrt(5)).\nAnswer: -35*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a4 + -a169b?\nAnswer: -a1961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2. Let o(p) = -3387*p. Determine z(o(k)).\nAnswer: 22943538*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 13. Let y(g) = -g**2 + 5*g + 3. Let d be y(5). Let h = u + d. What is the least common multiple of 2 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*z + 11 = 0, 5*z - 13 = 7. Is (-29)\/y + (-9)\/3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1\/7 (c) -1 (d) 5 (e) -2\/4475\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(171) - sqrt(171))*3 + -4 + (-1 + sqrt(171))**2)*-3.\nAnswer: -504 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/432 and -21\/4.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 32*w**2 - 6*w + 1. Let d(j) = -31*j**2 + 7*j - 1. Let p(a) = 5*d(a) + 6*m(a). What are the prime factors of p(1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -60 (b) 2\/7 (c) -4.6 (d) 4 (e) -2 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((5*sqrt(15)*1 + 2*-2*sqrt(15))\/(sqrt(36)\/(sqrt(72)\/(sqrt(24) - sqrt(6)))) + -1).\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) - 92\/(-6). Suppose -4*t + h + 5 = 0. Suppose -b - m + 147 = b, 0 = -3*b + t*m + 188. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + d - 38 = 0, -4*r - 2*d = -5 - 31. Calculate the remainder when 24 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*o - 136, -o = -0*g + 3*g - 395. Let u = g + 203. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/60 + 3\/12?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*k - 2*f - 71, 157 = 4*k - f. Suppose 0 = -2*b + k - 12. Suppose -b = -6*y + 4*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0. Let v = l + -2.1. Let w = -1.25 - v. Round w to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 10 + -1 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64.23 - -1.23. Let s = -58 - h. Put s, -5, -0.2 in descending order.\nAnswer: s, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**7\/168 + 3*m**6\/80 + m**4\/3 - 4*m. Let y(r) be the third derivative of h(r). What is the second derivative of y(k) wrt k?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbybbbbbebeebe. What is prob of picking 2 e?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -63 (b) 1\/481 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 601 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**3 - n**2 - n - 1. Let r = -36 + 50. Suppose r*m + 3 = 11*m. Give z(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**4\/24 + 7*p**2. Let u(w) = 2*w. Give u(y(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*g + 95 = -50*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**3 + 53*l**2*z**2 + 333*l*z - 2*z**2 wrt l.\nAnswer: -18*l + 106*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/3, 438\/7, -0.37, -2\/19.\nAnswer: -2, -0.37, -2\/19, 2\/3, 438\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 4 + 2)*(6 - 6 - 2*p).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282 + 282 - 30*c + (-2 + 2 - 2)*(c + 1 - 1) to the form d*c + j and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {l: 1, j: 1, a: 2, b: 2, q: 4, y: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - t**2 - 14*t + 3809. Is x(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -9\/10*i**5 + 0*i**4 - 3 + 167\/2*i**2 - 1\/6*i**3 + 4*i. What is the first derivative of h(x) wrt x?\nAnswer: -54*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117488460 is divided by 127?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.5.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 740 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325, -650, -973, -1294, -1613, -1930, -2245?\nAnswer: -2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba448 (base 12) to base 15.\nAnswer: -4cd58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i - 5 + 13 - 8 - 9*i**2 + 20*i**2.\nAnswer: 11*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(500) - -2*sqrt(500)*-2 - -2*sqrt(500)*5))\/(3*((2*sqrt(10)*2 - sqrt(10)) + 1*sqrt(40))).\nAnswer: -35*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1805 (base 16) to base 3\nAnswer: -22102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 3380.6?\nAnswer: -3380.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11231169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 268380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36558697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 65250090?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (13 - 5405\/92) - -23?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 462 = 5*c - 4*a, -5*c + 438 = -3*a. Suppose 96*n - c*n = 0. Solve n = 4*k - 12, -4*i + 5*k = -7*i + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from iioiiooioioii?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 3*c + 2. Let d be q(-2). Suppose -3*f + 2*l = -2*l + 113, d = 4*f + 2*l + 158. Let u = -22 - f. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 6*z + 9. Let o be p(4). Let k be (-20)\/(-20) + o + 7*1. Solve 0*x - x = 3, 2*h - k = 5*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -3, 4, 2, -0.3, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 a factor of 127467041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 1, n: 1, z: 1, u: 2, f: 1}. What is prob of picking 1 f and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -22. Let y(j) = 4*j + j**3 - 12*j**2 + 3 - 21 - j**v + j**3. What are the prime factors of y(12)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -6, 20, 66, 138, 242, 384?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.0826\nAnswer: -0.00826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-0.9133\nAnswer: 0.82197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1998 and 5400.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 134\/65? (a) -0.1 (b) -0.102 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 2)*(-3 + 3 + m) + m - m + m + (-2 - 2*m + 2)*(-36 + 74 - 59).\nAnswer: 40*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-642)\/(-8)*((-8531)\/(-449))\/57?\nAnswer: 107\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/6 - 380\/(-114) - (-2)\/((-336)\/148).\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/(-290)*(-10)\/(-8).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4234499527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 divided by -1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 375*m - 8 = 377*m, 0 = -5*t + 4*m - 110 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0.9, -2, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6286771*o + 3455432 wrt o?\nAnswer: -6286771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2*2)\/((-8)\/6). Suppose 0 = -2*x + o*x - 93. Suppose 0 = 4*j - x - 23. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -3*u**2 - 5*u - 2. Let s(k) = 3*k + 3. Let c = 1440 + -1445. Give c*s(v) - 3*x(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326228 by 46604.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -65*g - 53. Let n(v) = 71*v + 53. What is 7*c(t) + 6*n(t)?\nAnswer: -29*t - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 568754 (base 10) to base 14\nAnswer: 10b3b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + -10101100111011?\nAnswer: -10101100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 7 = 5*a, -4*a - 2450*y = -2451*y - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514370268 to the power of 1\/2, to the nearest integer?\nAnswer: 22680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = y + 3*g - 743, -2*y + 1742 = -3*g. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 45 = 0. Let p(y) = -y**2 + 12*y - 17. Let i = 32 - 13. What is the remainder when i is divided by p(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10986*g**4 - 7907*g + 2 wrt g?\nAnswer: 131832*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*g + 520 = 100 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 405b4 + -5?\nAnswer: 405ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:51 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:50 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -501, -505, -509, -513, -517, -521?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54\/157 in -0.14, -76, 4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 18. Let m be a(18). Suppose -3*i + 3 + m = 0. Solve 5*h - u + 1 = -i, -3*h = -4*u + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 299.1602 decades?\nAnswer: 2.991602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -85, -169, -253, -337, -421, -505?\n\"Answer: -84*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, -1\/10, 0.4, 0.3, -29?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -47. Let u = s - 34. What is the nearest to u in 1, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 2*l + 1520. Suppose y - 3*y + 14 = 0. Calculate the remainder when l is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10100111111000101110000011?\nAnswer: 10100111111000101110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2427 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.146 + -468.854. Let v = 468.9999272 + h. What is v rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 3*r + 6. Suppose -2*z - 3*z - 3*g = 0, 5*z + g - 10 = 0. Suppose -d = -3*w + 14, -z*w - 5*d = -r*w - 10. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -150, -359, -568, -777?\n\"Answer: -209*m + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 8 + 2. Find the second derivative of -30*s**5 + 34*s - 30*s**5 - s**o + 4*s**2 + 65*s**5 wrt s.\nAnswer: 100*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.396143 nanoseconds in microseconds?\nAnswer: 0.000396143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3889*p**2 - 1. Let z = 26 - 51. Let f = 22 + z. Let w be a(f). What is w rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3267384 by 6.\nAnswer: 544564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2a3 (base 11) to base 10\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141221188 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/908 and -65\/4504?\nAnswer: 1022408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6427300 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or 2\/5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, 10, -3 in increasing order.\nAnswer: -3, 0, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/22 and -85\/4524.\nAnswer: 49764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 10. Let o(j) be the second derivative of -j**3\/3 + 10*j**2 - 41*j. Let s be o(7). Determine i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2 + 7 - 20*t + 15*t + t**2. What is j(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 14, -2\/33, -1, 60, 3\/4?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-168)\/35)\/(-12))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 349?\nAnswer: -348.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 294 - 346 = 0. Let h = d + 232. Calculate the remainder when h is divided by 21\/14*(-1 - 43\/(-3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -193, 1, -18.13?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 55000*f. Let n = -22 + 18. Let i be t(n). What is i rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 12*w = 5*b + 2861, -3*w + 2*b = 4263. Do w and -1427 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, c: 1, k: 4}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48137?\nAnswer: 37, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11193609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 - -335 - 3\/(-9)*-3.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 304 - 66 = 0. Calculate the remainder when s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -62, -0.1, 0.2, 0.1, -5 in increasing order.\nAnswer: -62, -53, -5, -0.1, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 106*q - 103*q = -17, -q = 3*t - 5. Let -156\/11*m**2 + 32\/11*m**3 + 224\/11*m - 98\/11 - 2\/11*m**t = 0. Calculate m.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-36)\/(-9))*4\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 4:32 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 8*d**2 + d + 8. Let s = -2 + 2. Suppose s = -2*z + 26 - 42. Let p be l(z). Solve -2*c - 7*q + 3*q - 2 = p, -4*q = 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368*n - 889711 = 338*n + 741119. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/667 at least -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 - 147. Suppose -j*n = 8638 - 33346. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6*u = -2*u + 80, 4*y - 2*u = 90. Suppose -2*j = -18 - y. Does 56 divide (13 - j)*(-25)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.3 + -75.3. Let k = r + 54.9. Let s = 2.918 - -0.082. Which is the closest to s? (a) 2\/19 (b) 2\/13 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00392 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/2401 - 4792\/12005. What is the biggest value in m, 3, -6\/181, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-411)\/(-27) - (-4)\/(-18). Suppose -7*f - d = -2*f. Let l(v) = -v**3 - 3*v - 3. Is l(f) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 7*h = 0. Suppose -20 = -4*f - h*f + 4*n, -29 = -5*f + 3*n. Which is smaller: f or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149385 divided by -29877.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/20 (b) -0.4 (c) 0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10455356407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*m - 2. Suppose -h + 4 = -m*a, -3*a = 3*h - 10 - 2. Let i be (-2)\/h + (-33)\/(-6). Solve 5*w = i*r + 3*w + 3, -5*r + 5*w = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -51. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029845 to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 463 + 2575. What is the remainder when j is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 - 178. Is h\/((27\/30)\/(-9)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 81*v**3 - 2*v**2 - 5*v. List the prime factors of y(3).\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 2*t + 6. Let f(y) = 2*y**2 - 2*y + 5. What is -6*f(c) + 5*z(c)?\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8252162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7054210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 4, -3, 8, 0.0204, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/((-33)\/54) - 0. Let x be 82\/(-36) - (-4)\/n. Sort 1\/5, x, -0.1.\nAnswer: x, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z + 6. Let v(q) = -q + 2 - 2 - 1. Let w be (-1)\/((-5)\/15) + -2. Give w*m(d) + 6*v(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-10)\/120*27\/12)\/(36\/96)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 256321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341 (base 7) to base 5.\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1301 * -62.93.\nAnswer: -81871.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/5 - (-2)\/5. Let i(x) = -x**2 + x + 5. Let u be i(-4). Let j = u - -164\/11. Which is the second biggest value? (a) -2 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-2\/5)\/c))\/(c*c\/c**(-3)))\/(c\/(c\/(c\/(c*c**(-4)))*c)*c\/(c**2*c)))\/((c\/(c\/(c*c\/c**0)))**1)**(-10\/19) assuming c is positive.\nAnswer: c**(-242\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 378033110.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - m - 2. Let i be ((-8)\/10)\/(12\/(-30)). Determine f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {x: 7, j: 2, d: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 14*v + 7\/6*v**3 + 1\/2*v**2 - 1\/12*v**4 - 16. Let g(n) be the first derivative of j(n). Determine g(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4054692?\nAnswer: 2, 3, 337891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(44)\/sqrt(4) + 0)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 707 + 3675. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 4)*(2*w - 3*w - w) - 2*w + 0*w + 3*w)*(5*w**4 - 6*w**4 + 3*w**4).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d**(-1))\/(d**(1\/4)\/d*d\/(d**(-1)\/d)))**(-1\/5) assuming d is positive.\nAnswer: d**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (63\/28)\/((-2)\/(-232)). Let q = 154 + s. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*((sqrt(162) - (sqrt(162) - (sqrt(162) + 0) - sqrt(162)))*6 + 2*(sqrt(162) + -1*sqrt(162)) + sqrt(162)) + 0)**2 + 5).\nAnswer: 492814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14773 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1163 (base 7) in base 4?\nAnswer: -12311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(-o + 1 - 1)*(6 - 8 + 12).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 898843?\nAnswer: 898846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 14*o**2 + 7*o - 2. Let h be a(-15). Let t = h - 117. Which is greater: t or 11\/6?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1129023331, 2258046663, 3387069997, 4516093333?\n\"Answer: y**2 + 1129023329*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 69. Let q(g) be the second derivative of 11*g**3\/6 - 4572*g. What is i(q(x))?\nAnswer: 22*x + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148.5962 + 149.8. Round d to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 973446751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3408, 6815, 10222, 13629, 17036, 20443?\n\"Answer: 3407*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6186191 to the power of 1\/2, to the nearest integer?\nAnswer: 2487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -201 + 362. Calculate the remainder when l is divided by 61.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1851 - 2\/6*0. Let g = o - 731. What is g rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y + 3*y - y)*(-126 + 187 - 139) - 2 - 2*y + 2 to z + v*y and give v.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 75.4?\nAnswer: 74.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 8*i - 3. Let y be a(-8). Let j be 2 - (-1 + -5)\/y. Let g(m) = -m**3 - m**2 + 6. Determine g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315981, 1264030, 2844127, 5056266, 7900441?\nAnswer: 11376646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10569378 by -48262.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 4*t - 5*l + 42, 3*t - 6*l + 9 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 3*u**2 + 8*u + 9. Let w be o(5). Let x be w + -1 + (-2 - 12599995) + -1. What is x rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -633 or -732?\nAnswer: -633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((-4)\/(-24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22443 - -14.48\nAnswer: 22457.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -22*f + 740. Calculate o(27).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -13*b - 111. Suppose 0 = 5*l + 5*t + 45, -5*l + 15 - 66 = -t. Suppose 5*q - 40 = -10. Calculate the remainder when u(l) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 11*q**2 + 9*q - 2. Let f be k(-9). Suppose -227 = 2*d + f. Let m be (0 + d)*10\/(-3). Round m to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28041 is divided by 9324.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1110110111?\nAnswer: -1110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -9060 - 18. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1584) + -1))**2.\nAnswer: -864*sqrt(11) + 57060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28878 less than 21?\nAnswer: 28899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 2*q**2 - 12*q + 9. Let f be v(-5). Let h = 34 + f. Solve 20 = 5*k + 5*o, 5*k - 20 = -h*o + 4*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(12 + (-420)\/36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w - 2*w + 0*w)*(336*w + w**2 - 350*w - 290*w).\nAnswer: -8*w**3 + 2432*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 238961413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-143)\/(-143))\/((-3)\/24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-8)\/(u\/((u*u**8\/u)\/u)))\/((u\/u**(-4\/9))\/u**(-6)))\/(u**(-5\/3)*u**(-2)*((u*u*(u\/u**(-5))\/u*u)\/u)\/u**8) assuming u is positive.\nAnswer: u**(-43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 < 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 - 11*d + 4. Suppose -216 + 196 = 4*i. Give y(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32310 + 1113331?\nAnswer: 1212301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.2 in 0.3, 9, 18, -5, 2.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1242251 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5400 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + l + 4074 = 0, -2*g - 5*l + 1001 - 3029 = 0. Let u = g - -1986. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 63 - f**3 - 30 - 3*f**2 - 3*f**2 as i*f + d*f**2 + u*f**3 + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.9245145 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73 and 2263.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21574.7 + -21552.7054. Let h = 22 - b. Round h to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2453\/669)\/((-11)\/((-231)\/(-2)))*8\/(-126).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7879*v**3 + 28747 wrt v.\nAnswer: -23637*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 13. Let c be i(-6). Let a(h) = -94*h + 6. Let g be a(c). Is (g\/(-6))\/((-22)\/(-33)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 19 = -5*q - 21, -10 = -4*b + q. Calculate the least common multiple of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83066*h*v**3 - 23*h*v + h + 66*v**2 wrt v.\nAnswer: -498396*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001756 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 i when three letters picked without replacement from ippp.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (-6*-3*(sqrt(275) + 3 + sqrt(275)*2 + 3)*2)**2.\nAnswer: 233280*sqrt(11) + 3254259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2715 and 351140.\nAnswer: 1053420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r - 5*q + 55, 0 = -4*r - 3*q + 42. Let a = -4 - -9. Calculate the remainder when r is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56782, -454234, -1533018, -3633796, -7097230, -12263982, -19474714, -29070088?\nAnswer: -41390766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7082362259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3*(-12)\/8. Let l(i) = i**3 + 4*i**2 + 2*i - 2. Let p be l(k). Let t = -5 + 10. Solve p*w = t + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 6.\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 8. Let q(c) = 17*c. Let o be q(1). Let y = o + -22. Let s(p) = -2*p**2 + 5. Let h(b) = y*t(b) - 8*s(b). Let x(r) = 4*r. Determine x(h(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/9, 14\/23, 24, 1\/3?\nAnswer: 14\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-5)*t*t\/((t\/t**(1\/8))\/t)*t*((t*t**(-1\/21)*t)\/t*t)\/t*t**(3\/5)\/t assuming t is positive.\nAnswer: t**(-271\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576237?\nAnswer: 3, 401, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 4 - (2 + (2 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 12) to base 4\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**9*l))\/(l**(-9)*l))\/(l\/(l\/l**2))**(3\/4) assuming l is positive.\nAnswer: l**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 4*z**2 + 4*z - 2. Let w be x(3). Let h = 1 + w. What is the smallest common multiple of h and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204697866 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) 1\/2 (c) -5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 2\/15, 0.4, 0 in descending order.\nAnswer: 60, 0.4, 2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -41*l**3\/6 + 5*l. Let u be y(1). Let r = -28 - u. What is the greatest common factor of 143 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4*a + 4 = 6*x, 4*x = -5*a - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*u**2 - 37*a**2*u - 44*a*u**2 - 896*u**2 + 26339*u wrt u.\nAnswer: -2*a**2 - 88*a - 1792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 + -112. Suppose -2*f + 5*r = -0*f - 289, p*f + 3*r = 643. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*h - 83*h - 5*f = -48, 21*h = 4*f + 252 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8603496 and 7966200?\nAnswer: 215087400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.8 - -41.8. Suppose 2*q - 20 = -3*q. Sort d, -0.5, -3, q in descending order.\nAnswer: q, d, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3384*w = 3377*w - 5*o - 67, 5*w + 7*o = -113 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42928377 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 + 4704958*z\/11 + 4704956\/11.\nAnswer: 2*(z + 1)*(z + 2352478)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9167128 - 3?\nAnswer: -9167131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 266 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 9:04 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12856 - -257243\/20. Calculate the common denominator of -87\/26 and q.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Suppose 110 = -5*s + 5*l, -b*s - 2*l + 4*l = 78. Let j = 5 - s. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*1*(-22)\/(-495)*555.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 3. Let t be b(6). Suppose 4*l + l = v + 20, -l - v - 2 = 0. Suppose 0*u - l*u = -t. Let i(h) = -h**2 - h + 2. Determine i(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*u + 3 + (-2 - 3 + 6)*(4 - 4 + 2*u) + 3*u - 3*u - 3*u)*(340*u - 13*u - 42*u + 410*u).\nAnswer: 695*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661225 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-5)*(-462)\/(-14168)*1\/3?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984034 is divided by 974?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o - 40. Suppose b = 5*y + o, -3*b + 40 = b + 4*y. Suppose 0*a - b = 5*a. Put a, 1, 3 in increasing order.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruu when three letters picked without replacement from lluulvlwrl?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d = 119*d + 107*d + 4485 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 120 - 5 = 5*r, -3*h + 15 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18186871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180 - -207) + -1 + -3 + 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x + 6. Let b(j) = -17*j + 13. Let a = 0 + 3. Let d = -9 + a. Give d*b(k) + 13*z(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -9. Let m be 4059\/(-6) + -2 + l. Let i = 629 + m. Calculate the common denominator of i and -14\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 46238660?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1072789*b**3*c*s + 2*b**3*c + 9*b**2*c*s + 35481*b*c*s wrt b?\nAnswer: 6436734*c*s + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 950214514 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39441, -157972, -355521, -632088, -987673, -1422276, -1935897?\n\"Answer: -39509*y**2 - 4*y + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 186?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*p**2 - 2*p + 1055*p**2 + 2*p + 1297*p**2.\nAnswer: 2313*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -174461.2319 + 126383.\nAnswer: -48078.2319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -159*r**2 + 1654*r + 3297. What is l(-2)?\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -4*m. Let c = 30 + 32. Suppose m = -4*q + c + 14. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90173644 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*-4*-5 - sqrt(50)\/((sqrt(120) + sqrt(120)*3)\/sqrt(12)))**2.\nAnswer: 31205\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 4*u + u)*(-4*u + 5*u + 0 + 4) + (2 + 5 - 2)*(-3 + 3 - 2*u**2).\nAnswer: -8*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Suppose 0 = -2*j + 2. Let h = -3 + 1. Put h, y, j in increasing order.\nAnswer: h, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3 + 80*b**2 - 220.\nAnswer: -6*b**2 + 160*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2016768 by -38784.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/115897740 and 169\/4401180.\nAnswer: 347693220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21d209 - -7?\nAnswer: 21d212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 1\/2)*20\/(-15). Let f = -48 + 95\/2. What is the smallest value in 0.5, f, t, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001925957 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -1 (c) -4\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/122 and -87\/74908.\nAnswer: 74908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g**2\/7 - 114*g = 0 for g.\nAnswer: -133, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/14 + (-19)\/133?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khu when three letters picked without replacement from uhakmhz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 398088 and 2808.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 6*v - 4*v)*(4 - 4 - 4) + 61*v + 25*v + 66*v + 14*v as b*v + o and give b.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*(sqrt(95) - (sqrt(95) + (sqrt(95) - -5*sqrt(95)*-4) - sqrt(95)) - sqrt(95)))\/((sqrt(540)*-1)\/(sqrt(96)\/(1*sqrt(8)))).\nAnswer: -95*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.05 + -0.05. Let y = -4.4 + h. Round y to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 7:13 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318780 or -318773?\nAnswer: -318780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.8 > 640\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/19 + 68*y**2\/19 + 480*y\/19 = 0 for y.\nAnswer: -24, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2057) - (3 + sqrt(2057) + -3 - sqrt(2057)))**2 + sqrt(2057)*2*-1*4 + -1.\nAnswer: -88*sqrt(17) + 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 - -100. Suppose 5*y + 11 = -2*a, 2*a = g*y - 2*a - 8. Let m be 2 + 10\/5 + (y - -22). Solve -x + m = -6*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -1 - (-9 - 1 - (23 - 39)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2. Let b be (4\/60 - 237\/180)*4. Let t(x) = -7*x - 2. Let g(i) = -5 - 4*i - 12*i + i. Let n(q) = b*t(q) + 2*g(q). What is n(j(h))?\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*u + 1121 - 1202 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 9:52 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7966637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*v - 24, -7 = 3*l - 4*l - v. Suppose 43 = b - l*j, -2*j = 2*b + 3*j - 11. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3146.602625 to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 1:32 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a - 1. Let p(j) = 11*j + 1. Let y(r) = 8*n(r) + 5*p(r). Suppose -16 = 5*m + 19. Let d be y(m). What is the highest common divisor of d and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187100 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 15*d**2 - 18*d + 16. Give g(14).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 10. Let l be 426\/27 - 2\/(-9). Suppose -c + 2*c + h = -4*x, 3*c - l = -2*x. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38439*k**3 + 244368*k**2.\nAnswer: -230634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0*w + w + 24 - 6. Let n = 24 + -24. Is r(n) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61 + 927a17?\nAnswer: 927a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 z when three letters picked without replacement from szzsss.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 i when four letters picked without replacement from izhz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 - 1999*y**2 - 2504*y - 501 = 0. Calculate y.\nAnswer: -1, -1\/4, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*z**2 + 188*z**2 - 507539*z + 507539*z.\nAnswer: 617*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1256 + 2383. Suppose w = 8*c - c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 + 11*z + 62. What are the prime factors of p(-11)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -403*a - 79869. Determine v(-200).\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - j**2 - j + 1. Let m(l) = -5*l**3 + 4*l**2 - 29*l + 13. Let c(k) = -m(k) + 6*w(k). Let u be c(-12). Solve 3 = -4*s - u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i + 10. Let j(n) = -3*n**2 + n**i + 0*n**2. Let l(c) = -5129*c + 5129*c + 3*c**2. Calculate j(l(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6209220289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 6. Let u(c) = -6. Let q(l) = -2*u(l) - 2*x(l). Let z(i) = -224*i**2. What is q(z(m))?\nAnswer: -448*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 48 = 2*c + 2*q, -q + 2 = 0. Suppose 17 = 3*s - b, 2*s + c = 5*b + 54. Let h = s + -6. Put h, -2\/7, 4 in ascending order.\nAnswer: h, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) -0.1 (c) -2\/17 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/25)\/a)\/(a\/a**(-7)*a))\/((a\/(a*a*(a*a*a**(-5\/4)*a)\/a*a))\/a*a**(-1\/10)\/a*a) assuming a is positive.\nAnswer: a**(-619\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 22, 35, 50?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -15. Suppose 0*p - 20 = c*p. Is 11 a factor of 22\/p*(0 - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - 5*h + 5*h)*(20*h - 2*h**2 - 20*h) + (3*h - 3*h - 3*h)*(0*h**2 - h**2 + 3*h**2) as o + t*h**2 + k*h + l*h**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25342 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2356, 4778, 7348, 10150, 13268, 16786?\nAnswer: 20788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 833 divided by -17?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9462787?\nAnswer: 29, 37, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 466\/311161 or 1?\nAnswer: 466\/311161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*c - 1225*c = 328*c - 5*c + 114162 for c.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 - 0.11?\nAnswer: -432.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 48 = -3*c. Suppose 2*a - a - 4*z - 73 = 0, -4*a + 264 = -2*z. Suppose d - a = -c. What is the remainder when d is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, h: 1, w: 3}. What is prob of sequence hee?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 44. Let j be g(-14). Solve j*u - 3 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432578 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 837 - 1404. Let q = t + 562. What is the smallest value in 0, 14, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/9*288\/(-416). Let x be 1\/(-4) - 22\/8. Suppose -l - 5 = d, -2*l + 2*d + 6 = -0. Sort l, m, x in decreasing order.\nAnswer: m, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 12:23 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23140404 (base 5) in base 14?\nAnswer: -56182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17269670 and 418.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7826 is divided by 191.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -517 * 6.\nAnswer: -3102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 3*l**4\/8 - 10*l**3\/3 - 20*l**2. Let i be b(6). Let t = i + -22. Solve 4*k + 8 = -t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 292262128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 150207 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*f - f, 4*f = 5*l + 28. Let c be 154\/55 + l\/5. Find the third derivative of 1 + n**c + 9*n**3 - 1 + 11*n**2 wrt n.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/86 and 37\/22.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3855, -3858, -3863, -3870, -3879, -3890?\n\"Answer: -u**2 - 3854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1265 and 0.06?\nAnswer: 75.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 1, y: 2, x: 1}. What is prob of picking 1 o, 1 m, and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 17, h: 3}. What is prob of picking 1 h and 1 e?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238078 or -476153\/2?\nAnswer: -238078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -19 (b) 2\/89 (c) -2\/31 (d) 1.7 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93279 and 10474329.\nAnswer: 3009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -11*z**2 + 31*z**2 - 19*z**2. Let i(o) = -11*o. Give i(u(q)).\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 7*m + 7. Suppose -4*c = 12, -3*w - 4*c + 3 = -0. Let z be b(w). Let u(l) = -21*l + 4. Is u(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 + 0)\/4)\/((-23)\/460). Solve 14 + 6 = -v*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3 = -9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.2616 to 1 decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 2*f**3\/3 - f**2\/2 + 5*f. What is the units digit of o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 15 - (-365 + 367) - 60.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 13 = a, 38*w - 34*w = 5*a + 61 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27416, 81821, 172496, 299441, 462656?\nAnswer: 662141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12*q**2 + 2*q - 4. Let v be o(-4). Let k be (-39)\/312 + 805\/40. Calculate the greatest common divisor of v and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*u - 206, 5*u - u = 8. Let c = 511\/8 + y. Calculate the common denominator of 85\/14 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 - 1 = -3*o, -2*o - 2*s = 0. What is the least common multiple of o and (-2 + 3)\/(3\/33)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2\/6 - 7399*p\/6 + 133459\/3 = 0. Calculate p.\nAnswer: 37, 7214\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -36*a**2 - 15. Let v(u) = 7*u**2 + 3. What is -4*c(h) - 21*v(h)?\nAnswer: -3*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 25 = 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + k + 1)*(-29*k + 0*k + 2*k) to t + f*k**2 + r*k and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867174.5cm to millimeters.\nAnswer: 8671745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k + 19*k - 10 + 3*k + 24.\nAnswer: 34*k + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 54. Is (a - (-556)\/(-16))*-20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3678*y + 30 = 3663*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3*(1\/(-55))\/((-24)\/160)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-44) + (-15)\/(-4). Solve p*h + 3 = 4*q - 1, -q - 7 = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 7*k**2 + 1759*k + 14005. Give d(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24325 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + g + 37 = -g, w + 17 = -2*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*i - 152 + 461 = -258 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-15) - (-897)\/(-5). Let c = 106 + b. Let l = -36 - c. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 7, 3, -9, 106.\nAnswer: -9, -3, 1, 3, 7, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.261 + 1.05. Let s = 14.789 - t. Which is the smallest value? (a) s (b) -0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a5cf1 (base 16) in base 7?\nAnswer: 101223255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -252761035572 - -0.2.\nAnswer: -252761035571.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11248 divided by 4.\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1623 + 0.1823. Sort b, -4, 49, 3, -3\/8 in descending order.\nAnswer: 49, 3, b, -3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 95*j. Suppose 502*d - 499*d = 2*p - 24, -2*p + 4*d = -28. Let y(w) = -47*w. Give p*t(s) + 11*y(s).\nAnswer: 53*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64445027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2492 + 2237. Is -264 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 579\/(-3*(-3)\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2 = -5*j. Suppose 4*o + 2*c + 429 = 3*c, 3*c = 5*o + 545. Let r = -102 - o. Sort 1, r, j.\nAnswer: 1, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 129 + 29 = 0. Suppose c = 6*c - m. Let y(h) = h**2 - 3*h + 1. List the prime factors of y(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 823*d**4\/6 + 2*d**3 - 5*d**2 - 51*d - 1. Is 78 a factor of n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 3*o - 3*o + 3*o**3 + 2*o**2 - 5*o**3 - 1. Let z(u) = 6*u**3 - 6*u**2 + 7*u + 4. Calculate 7*t(r) + 2*z(r).\nAnswer: -2*r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 3, u: 3, g: 2, h: 1, r: 1}. What is prob of picking 2 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0*j + 0*j)*(14374*j + 12866*j - 25642*j).\nAnswer: -3196*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -123, -183, -243?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from qqvqvvqvqvvv.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131\/6 < -1636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**2 - 10882130*j + 5921037666845 = 0.\nAnswer: 1088213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4087111?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 62*a + 100*a)*(3 - 5 + 3 - 4 + 2 - 2 - 2 - 4 + 5 + (0 + 4 - 3)*(2 + 1 - 2) - 1 + 5 - 2).\nAnswer: -38*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s. Let h be ((-93)\/(-6))\/((-2)\/(-12)). Suppose 3*m = 6*m - h. Solve s = -5*p + 5*d - 40, -6*p + p + 2*d - m = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 637844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/28 in -6, -16, -1\/11, 2\/9, 12?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 5 (c) -2\/5 (d) -27274\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-24)*(3\/(-10))\/((-12039)\/(-4013))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.5004 + -26.5. What is a rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3267 + 10496. Is k a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5849328 divided by 1462332?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + x + 5. Let s be k(-3). Let y = s - -19. Let n = y + -1. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -27, -2\/17, -0.3, -2\/11?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8636961 and 1572?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 105\/2, -0.1, 5, -0.17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -940, -1751, -2576, -3421, -4292, -5195, -6136, -7121?\n\"Answer: -c**3 - c**2 - 801*c - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.67 - -0.1. Let k = d + 0.17. Sort 2, 0.3, k in decreasing order.\nAnswer: 2, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*y = y - 9, -5*v - 13 = -2*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 + 3*w**2 - w**2 + (3*w - 4*w - w)*(5 + 22*w - 15*w - 3).\nAnswer: -16*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + 1cba?\nAnswer: 1cae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 4:08 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 - 99. What is the nearest to -1 in g, -0.3, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(4 + -1) + 4. Find the third derivative of 2*j**6 + y*j**2 - 4*j**2 + 9*j**6 wrt j.\nAnswer: 1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*i - 584 + 17. Let y(n) = 8*n**2 - 5*n**3 + 13*n**2 + 4 + 1 + 4*n + 4*n**3. Calculate the remainder when y(i) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224 - -1337\/6. Let c = -3\/2 - d. Is c at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 23*z**4\/4 - 1. Let f be c(1). Calculate the greatest common factor of 207 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 109, 89, 47, -29, -151, -331, -581, -913?\n\"Answer: -2*o**3 + o**2 - 9*o + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 70386 = -5*i. Let q = i + 22386. Round q to the nearest 1000.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 0.34085, -0.5, -4\/3, -1\/9, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 0 + -17 + 12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -9. Let o = 1.4 - q. Round o to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 4 = 9*n. Calculate the least common multiple of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, 1, 17, 33, 49, 65?\n\"Answer: 16*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from gcggucgggugcgugu.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5957 less than -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7 - 10*j**6 - 5*j**2 - 3*j**3 + j**6 - 5*j**6 wrt j?\nAnswer: -1680*j**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 206605 - -5?\nAnswer: 206613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.01006 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425725 is divided by 6854?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206415585 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 332192 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272424 is divided by 1651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13\/13779?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 240244, 243208, 246172, 249136, 252100, 255064?\n\"Answer: 2964*y + 237280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0*q + q)*(-3 + 2 + 2) + (0 + 3 - 1)*(3*q - 2*q + 0*q)*(-2 + 5 - 2).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15830*f**6 + 18*f**4 + 4*f**2 - 5*f - 7264.\nAnswer: -1899600*f**3 + 432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.167 - 0.0841. Let n = 2462521 + -2462521.08289251. Let f = r + n. Round f to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167.87 + 7.87. What is the third smallest value in -4, 2\/5, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g**5\/19 + 116*g**4\/19 + 832*g**3\/19 + 460*g**2\/19 - 250*g\/19 = 0. What is g?\nAnswer: -5, -1, 0, 1\/3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27349178.\nAnswer: 2, 103, 132763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.60000025. Round z to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194 and 2813.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*78126\nAnswer: 5468.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3, 23544, -488?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 0 - -5) + -1 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/(44\/(-22))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.8451 - -30.8045. Let l = 0.0594 - y. Which is the second biggest value? (a) l (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1243 is divided by 96.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1196 - 534. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**8\/6720 + l**7\/630 + l**6\/720 + l**5\/30 + 5*l**4\/24 + 5*l**2. Let p(f) be the second derivative of y(f). Determine p(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372247666 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 2232266*y + 1245752873689.\nAnswer: (y - 1116133)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226203469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11990 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/7))**(25\/4) assuming s is positive.\nAnswer: s**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13361119 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 215, -1\/8, 5 in descending order.\nAnswer: 215, 5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 20757.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/6, 11\/2, -12.75, 0.4, 0.3?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 0*s + s)*(1 + 3 - 5) + (3 - 3 - s)*(-1 - 4 + 2)*(0 + 0 - 1) in the form k*s + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12273.04+0.1\nAnswer: -12272.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 100922.3 and -72?\nAnswer: -7266405.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 3192720?\nAnswer: 15963600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(36\/(-3))*11\/((-44)\/104)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -13*i**3 - 2*i**2 + 4*i. Let o = 139 + -142. Is w(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*d**5 - 143*d + 143*d)*(17 - 7 + 3).\nAnswer: -1664*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101138277 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225.9 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.05864 - -0.05864. What is the second smallest value in 4, g, 3, 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 17 = -5*v, 32 = 3*l - 4*v + 6. Suppose 3*q = l*h - 49, -q - 83 = -2*h - 2*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.8728.\nAnswer: 0.26184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*j - 886 - 611 = 507 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38740701709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*t + 21*t - 1925 = 1099 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87737 by 3.\nAnswer: -87737\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.61 - -0.31. What is the nearest to w in 0.5, 0.4, -3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, i: 2, k: 6, v: 1}. Give prob of picking 1 t and 1 k.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5\/2 - 36*j**4 + 78*j**3 - 3*j**2 - 153*j\/2 + 39 = 0.\nAnswer: -26, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7570426 months in centuries?\nAnswer: 0.0022975355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2 - 17*h + 1. Let s(u) = -9*u**2 - 33*u + 2. Let n(t) = 7*l(t) - 4*s(t). Let b = 51 - 27. Is n(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -58*d. Let u(b) = b. Calculate f(u(v)).\nAnswer: -58*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*y + g = 85*y - 26527, -y - g + 26529 = 0. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(68) + sqrt(68))\/(sqrt(576) + sqrt(576) + (sqrt(576) - (sqrt(576) - (sqrt(576) + sqrt(576) + (sqrt(576) - (sqrt(576) - -2*sqrt(576))))))).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b*(b\/((b*b**(-5))\/b))\/b*b)\/b))**(-6\/5))**(14\/9))**(1\/2) assuming b is positive.\nAnswer: b**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -161038, -161033, -161024, -161011?\n\"Answer: 2*r**2 - r - 161039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119*l*s**3*w**3 - 6*l*s**3 - l*s*w**3 + 4*l*w**3 + l - 1031*s**3*w**3 - 6*s**2*w**3 + 1181*s**2*w + s**2 wrt s?\nAnswer: 714*l*w**3 - 36*l - 6186*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8660 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-8)*3)\/((-6)\/(-4))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 0 - 4 = -2*d, -h - 10 = -5*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/10 of a kilogram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15381 divided by -5127.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 18, r: 1}?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**4\/12 + g**2. Let z(l) = l**3 + 5*l**2 + l + 7. Let u be z(-5). Let n(q) = -q**u - 6*q**2 + 5*q**2. Give d(n(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.46926 to three decimal places.\nAnswer: -0.469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 7000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5754 rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110111100101011 + -100101101?\nAnswer: -1001111000001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24416 is divided by 6092?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 6*f = -20. Is (-24)\/f*940\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2815\/2 + -1407. Let o(t) be the first derivative of -5 - 1\/6*t**6 - q*t**2 + 0*t**3 + 1\/2*t**4 + 0*t + 0*t**5. Factor o(p).\nAnswer: -p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 7:30 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74.13 + -64.7. What is the third biggest value in 2\/17, -4, -3\/2, c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 2*b. Let w(h) = -18 + 3*h**2 + h**2 - 7*h + 18. Determine 21*k(z) + 6*w(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o - 21. Suppose 18 = 3*m - 6*m. Let s(b) = b**3 + 8*b**2 + 10*b + 8. Calculate the lowest common multiple of f(-11) and s(m).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.18 - -7.18. Let g = h + -12. Suppose -2*v - 8 = 4*o, 2*o + 84 = 76. What is the nearest to -3 in v, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 21 = 7*k. Suppose 2*n + 12 + 0 = k*p, 0 = -3*p - 4*n + 30. What is the remainder when 14 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/254268 and 65\/21830724.\nAnswer: 152815068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -271*f + 16*f - 1 + 1 - 19*f to the form b*f + a and give b.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2157 divided by -1?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59319?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -3 + ((sqrt(75)*2 - sqrt(75)) + -5)*6)*-1)**2.\nAnswer: -1740*sqrt(3) + 3541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6550037449 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/(-308)*(-105)\/(-5100).\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 18\/(-14)) + (-320)\/728. Sort 0.2, 0.4, k in decreasing order.\nAnswer: 0.4, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74325 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: What is 1.1778 times 2789?\nAnswer: 3284.8842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.52 - 4.52. Suppose 4*m - 20 = -m. Let q(c) = c**3 - 5*c**2 + 4*c + 3. Let s be q(m). Sort 4\/5, s, j in ascending order.\nAnswer: j, 4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1836*x + 492. What is the hundreds digit of v(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 496. Let t be f(0). Suppose 0 = -3*g + 7*g - t. Let o be 2 + (-5)\/g*(-2 - -50). Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(0*m + m + m) + 0*m - 4*m + 5*m + 10*m + 10*m + 2*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 190*c**2 + c**3 + 191*c**2 - 5 + 4 + 0. Let u(w) = -4*w**3 - 13*w**2 - 31*w - 21. Let i(t) = -12*g(t) - 4*u(t). Factor i(k).\nAnswer: 4*(k + 2)**2*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12050 and 89\/18.\nAnswer: 108450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 326070 to the power of 1\/2, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/4 + 98103*p**2\/2 + 392376*p + 784728.\nAnswer: 3*(p + 4)**2*(p + 65394)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107180 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8))\/(2\/4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 324*t**3 - 11970*t**2 + 161700*t - 385875.\nAnswer: -3*(t - 35)**3*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1742545 + 5.\nAnswer: 5.1742545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -5 (c) 7\/45 (d) 372\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1656*s + 4125*s - 543414 = 0 for s.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*h + 127*h - 99 - 83*h wrt h.\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321850100 rounded to the nearest 100000?\nAnswer: 1321900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -213, 2, -4, 255 in descending order.\nAnswer: 255, 2, 1, -4, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 - 2*u**3 + u**3 + (-11 + 15 + 18*u + 10*u)*(3*u + 0*u - u)*(-1 + 5 - 1)*(2 - 2 - u) - 2*u**3 - 3*u**3 - 10*u**3.\nAnswer: -181*u**3 - 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5*((-4)\/8)\/((-5)\/174).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 250 - 25. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -155. Let w = -12 - q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -66. Put -1, c, -5, -2 in increasing order.\nAnswer: -5, -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 1499088?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1547104096?\nAnswer: 2, 48347003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*-1*sqrt(19) + (sqrt(209)\/sqrt(44))**2 + (sqrt(171) + 1)**2 + (-1 + sqrt(57)\/sqrt(3) - sqrt(19)).\nAnswer: 4*sqrt(19) + 699\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b - 2893 = -3*c, 2*c - 4332 = -3*b. List the prime factors of b.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8701, -17406, -26111, -34816?\nAnswer: -43521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 20428 = 720. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 + 3*j + 5. Let a(r) = -7*r**2 + 6*r + 11. Let w(n) = 2*a(n) - 5*o(n). Is w(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 38 = -2*n, -12*d - 160*n + 163*n + 174 = 0 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -988341, -988402, -988463, -988524, -988585?\nAnswer: -988646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 597 = 2*n - 3*o, 7*n - 5*n + 4*o - 590 = 0. Is 6 a factor of -1*n\/(-6)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 > 554\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.6. Let p = 20 - 20.2. Which is the nearest to 1? (a) j (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -238269, -238268, -238267, -238266, -238265, -238264?\n\"Answer: k - 238270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -56869 (c) 59 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*q = 4, t + q - 10 = 2*q. Let g(y) = y - 10. Let d be g(8). Let p = d + t. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -52*b**2. Let o(p) be the third derivative of p**5\/120 - 10*p**3\/3 - 23*p**2. Let w(k) be the first derivative of o(k). Determine g(w(x)).\nAnswer: -52*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*y - 9 - 54*y + 24*y wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 0*f**2 + 0*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(3087)\/sqrt(9) + -5 - ((sqrt(1512)*-2)\/(sqrt(60)\/(2*sqrt(10))))**2.\nAnswer: -4037 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63455715 to the power of 1\/3, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 127\/4. Let j = -40 + 40.2. Which is the third smallest value? (a) d (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4 - 1 + 6*b + 2. Let i(r) = -7*r + 4. Suppose -5*y + 3*m = 109 - 267, 46 = y + 3*m. Let l be 17\/y - (-22)\/4. Determine l*t(u) + 5*i(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4720 divided by 118?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6059 in 114, -1\/2, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -111*d + 229. Let l(k) = 60*k - 115. Determine 11*l(n) + 6*t(n).\nAnswer: -6*n + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 7 = -12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77241 or -77235?\nAnswer: -77235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**3\/18 + k**2\/12 + 7. What is n in a(n) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o = 108 - 423 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88829614.\nAnswer: 2, 683, 65029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, 1\/2, 2\/9, -557\/15, 11, 2, -2\/19?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3567 and 609?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 775487 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 17*c - 32. Let o be d(-19). Solve 2*r = o - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14380282?\nAnswer: 2, 7, 1027163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o = -68. What is the highest common divisor of o and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 1892*g - 3780.\nAnswer: -(g + 2)*(g + 1890)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:07 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/18448 and 3\/5765.\nAnswer: 92240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -a - 2*a. Suppose -3*j - 28 = -2*n, 12 = -a*n + 4*n - j. Suppose 3*f = n*f - 235. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5183\/472 - 80\/59. What is the common denominator of 1041\/240 + (-4)\/10 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 4, d: 1, x: 3, g: 2}. Give prob of picking 3 x and 1 q.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*v - 2*v**2 + 0 - 1 + 0*v**2 + 4.\nAnswer: -2*v**2 - 78*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 27*c**2 + 12*c - 1339. Let x be v(-29). Let w be 2 - 0*(-2)\/(-2). Let q(i) = 2*i + i - w*i + 8. Calculate q(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 20*r**2 - 2*r - 3. Let a be p(-2). Calculate the highest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 7 + 15. Let r(p) be the second derivative of -1\/2*p**3 + 6*p - 3\/2*p**u + 1\/4*p**4 + 0 + 3\/20*p**5. Factor r(v).\nAnswer: 3*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a**3 - 36*a**3 + 11*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = i - 66, 4*j = -5*i - 152 + 473. What is the remainder when (256 + 2)*(1 + (-32)\/8 + 4) is divided by i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and (8\/(-6))\/(2\/(-24)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 27*t = -4*a - 35, 5*t + 5*a = -160. Let v(w) = 3*w + 101. Let x be v(t). Calculate the greatest common factor of x and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*n = 9, -3*o + 2*o = -5*n + 22. Solve -4*w = -o*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-104)\/(-26) - (2 + -1). Is (8 - (10464 - a))*1*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -311 + 329. Calculate the greatest common factor of v and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3111 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 143\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136.9 + -136.9. Let h = -0.02 + -1.98. What is the nearest to r in h, 4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.95 + 17. Let d = 3.95 + s. Which is the biggest value? (a) 1\/5 (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 23, 3, 6\/11, -2.1 in decreasing order.\nAnswer: 23, 3, 6\/11, -0.1, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 318.8816t to milligrams.\nAnswer: 318881600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6188*b**2 - 4*b + 15. Let q(r) = -1243*r**2 - r + 3. Give -3*h(n) + 14*q(n).\nAnswer: 1162*n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*b - 90, -8*a + 104 = 716*b - 712*b. Solve 26*v - 72 = -b*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -0.08, -127, -4, -3\/11.\nAnswer: -127, -4, -3\/11, -0.08, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 102432 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 606232377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3453.8 - -3454. What is the nearest to -0.1 in p, -4, -96.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*-2*2\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-5)\/30)\/((-4)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813564?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 57*b**3 - 7*b**2 + 7*b + 10. Let k(y) = 19*y**3 - 2*y**2 + 2*y + 3. Calculate 7*k(a) - 2*s(a).\nAnswer: 19*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17723 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 56, 16, -60, -184?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57, 51, 45?\n\"Answer: -6*z + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = 5*n + 376*a - 445, -2*n - 150*a + 145*a = -0*n + 36 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-112)\/(-3)*15\/20*12. Let l(x) = 9*x - 14. Let g be l(2). Suppose -2*o = g*w - z, -2*w + o = 3*o - 164. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 138*m - 2. Let j(k) = -2*k**2. What is w(j(y))?\nAnswer: -276*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 216*x + 1084. Let p be s(-5). Solve -p*v = -h - 5, -2*h + 3*h + 3 = 2*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llwgjtggglfwlgf. Give prob of sequence wjw.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -1 + 2 + -2. Let w = c + -2. Suppose 17*h = -16*h + 462. Put h, 1, w in descending order.\nAnswer: h, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**11\/y*y)\/y*y*y\/(y\/y**(-5)))**(-30)*((y**(2\/3))**(-3\/4))**31 assuming y is positive.\nAnswer: y**(-451\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 3*b + 5. Let y be q(4). Suppose -2*v + 9 + y = 0. Suppose 5*x + 55 = 5*l, -25 = -v*l + 3*x + 38. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + -356. Round b to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133 + 243. Is 11 a factor of i\/(-4)*6\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 15 - (-2 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 4*d - 3. Suppose 11*t - 203 - 17 = 0. Suppose -3*f + 2*f = 4*r - 27, 0 = 4*r + t. Calculate the remainder when f is divided by g(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88329312611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuszkizzuzustuiuu. Give prob of picking 2 i and 1 s.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 255, 279, 323, 393?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680254337.\nAnswer: 7, 17, 71, 80513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/6 + (1 - -9). Let s(z) = z - 3 + 3*z + 11 - 3*z. Is s(g) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -34*x - 202. Let p(d) = 16*d + 101. Let t(b) = 3*l(b) + 7*p(b). Let n be t(-9). Calculate the highest common divisor of 451 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 36 = -10*z. Solve z*h = 31 - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5 + 2 + 1 - u - 4. Let g be y(-9). Suppose i + g = -8. Is -12 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*v = 958*v + 4432 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**4 + 15*c**3 - 15*c**2 - 35*c + 30 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 1) + (3 - 3). Suppose -3*u = -w*u - 30. 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: Let z be 218\/4 + (-3)\/6. Suppose 0*l + z = 2*t + 3*l, 0 = -5*t - l + 122. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gogsgwgggdsssosssw. Give prob of sequence dsgo.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**3)*q)**(4\/15))**(20\/3) assuming q is positive.\nAnswer: q**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 98409 to the power of 1\/2, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428 = 6*p - 434 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**3\/3 + 5*p**2\/2 + 9*p + 28. Let x be q(-4). Solve x*w - 2 - 2 = -3*f, 0 = -f + 3*w - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((-1 + sqrt(891))*1 + sqrt(891) - sqrt(891)) + sqrt(891)) - -3*(sqrt(891) + 1)*-5)**2.\nAnswer: 4500*sqrt(11) + 556975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 17*g**2 + 14*g - 34. Determine j(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7571.166 centimeters?\nAnswer: 75711660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j - j**2 - 1 + 5*j)*(2 - 4 + 0)*(0*j - 2*j - j) in the form t + m*j**2 + g*j + o*j**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66314, 66883, 67830, 69155, 70858, 72939, 75398?\nAnswer: 78235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 7*u, -3*g - 3*u - 12 = 0. Find the common denominator of 49\/g - 0\/1 and (-12)\/10*(-65)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79354369*u**2 + 55819*u - 194 wrt u.\nAnswer: 158708738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -108857184*c**2. Let k(p) = 2*p**2. What is d(k(m))?\nAnswer: -435428736*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z - 2. Give j(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -375\/192418 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 16*i + 34. Determine s(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 take away -6271?\nAnswer: 6311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 21*o + 125 - 19*o - 186.\nAnswer: 2*o - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3021113 - 311230?\nAnswer: 2103223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 332377034 and 8382?\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6 - 32\/(-12). Suppose d*i + 128 = -i. Does 8 divide (i\/(-20))\/(1\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.023964 and 0.0537.\nAnswer: 0.029736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 496316 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (60 - 10)\/10. Which is the third biggest value? (a) 17 (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*o**4 - 22666*o - 21393614 wrt o?\nAnswer: 88*o**3 - 22666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6*803*-2. Let o be (-1589725)\/(-2000) + 3\/(-48). Let j = m + o. Which is smaller: j or -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*w - 10 + 10)*(-2 + w + 2) - 13*w**2 + 3*w**2 - 14*w**2)*(0*w**2 - 4*w**2 + 2*w**2 + (w - 2*w + 2*w)*(3*w - w - 3*w)) - 2*w**4 - 4*w + 4*w.\nAnswer: 79*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187813, 187814, 187815, 187816, 187817, 187818?\nAnswer: 187819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 273103 and -0.1.\nAnswer: 273102.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**2 - 209*t - 4. Let w(c) = -c**2 - 52*c - 1. Determine -4*k(g) + 18*w(g).\nAnswer: 2*g**2 - 100*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -26073 = -26073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a - 5*a. Let c = 59 + a. Calculate the remainder when 232 is divided by c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 17*y**5\/20 + 19*y**4\/6 - y**3\/2 + 2*y**2 - 27*y + 1. What is the second derivative of p(s) wrt s?\nAnswer: 102*s + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 7 - 22. Solve 0 = 3*a - 2*a + c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -100, -185, -270, -355, -440, -525?\n\"Answer: -85*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5648 - -5913. Calculate the remainder when 830 is divided by s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + t - 5*t)*(0*t**3 - 3*t**3 + t**3) + (0 - 2 + 1)*(-4*t**4 - 2 + 2) + 0*t + t**4 + 0*t.\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = 0. Suppose y = -29*h - 4360 + 373269. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*v + 60*v = -63*v + 105672. What are the prime factors of v?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 808\/303*(-18)\/4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 9 + 17. Let l(j) = 15*j**2 - 2*j. What is the units digit of l(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17646 or -17641?\nAnswer: -17646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1528 divide 850844832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d + a?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 281301?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/(sqrt(3) - sqrt(75)) + sqrt(3) + (sqrt(33)*2)\/sqrt(11))*-1)**2.\nAnswer: 363\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13092 is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -81, 2, -3\/5, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6380 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 4*r**4 - 4505552*r**3 + 6*r**4 + 229*r**5 + 4505554*r**3 + (-2*r**5 + 7*r**2 - 7*r**2)*(-3 + 5 - 4).\nAnswer: 233*r**5 + 2*r**4 + 2*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - 4315?\nAnswer: -4305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -554275\/54 + 10264. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, k: 4, h: 3}. What is prob of sequence khk?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15385\/28 + 2199\/4. Put -2\/17, 1\/7, b, 0.2, 2 in ascending order.\nAnswer: -2\/17, 1\/7, 0.2, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 - 2*j**2 - 3*j - 2. Let y(n) = -5*n**3 - 3*n**2 - 4*n - 3. What is 4*b(s) - 3*y(s)?\nAnswer: -s**3 + s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47188?\nAnswer: 2, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -20204?\nAnswer: -20166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -185 and 0.3?\nAnswer: -55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*h - 195*h - 180*h - 10*h - 88*h to b*h + o and give b.\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttll when four letters picked without replacement from {t: 9, l: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d - 26. Determine h(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -2*x**7\/7 + 3*x**5\/20 + 92*x**3\/3 + 132*x. Find the second derivative of b(p) wrt p.\nAnswer: -240*p**3 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v**2 - 747*v - 31021. Determine r(97).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1199048, 0.2, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 2. Let w be k(-6). Let s = 88 - 66. Suppose -d + w*b = -s, -4*d - 18 = -3*d + 4*b. Solve 4*i + 3*t + d*t = 35, -2*i - t = -13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**3 + 3*o**2\/2 + o. Let q = -6 + 13. Let z(r) = 11*r + 5. Give q*t(l) - 4*z(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*s + s, -4*s = i - 16. Suppose 4*p - 12 = i, -t + 138 = 2*t - 5*p. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546 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: What is the hundreds digit of 264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*y - 26, -25*y - 6 = -22*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 2967.07.\nAnswer: 2966.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 310, 5, -5 in descending order.\nAnswer: 310, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -s - 2, -383*s = -3*i - 378*s + 22 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -800, -6941, -23616, -56093, -109640, -189525, -301016, -449381?\n\"Answer: -878*i**3 + i**2 + 2*i + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {p: 9, x: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*s + 2*u, 5*s + 2*u - 15 = -u. Let c be -5 + s + 2*11. Calculate the lowest common multiple of 18 and c\/2*(-18)\/(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1076, 2150, 3224, 4298?\nAnswer: 5372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 222\/(-110) + (-16)\/88. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, f: 1, z: 3, n: 2, u: 3}. What is prob of sequence fnuz?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 21755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (sqrt(1300) + sqrt(1300) + -2)) + 0)**2 + 4 + 6*(sqrt(1053) - sqrt(1053)*-2)**2 + 5.\nAnswer: -40*sqrt(13) + 58175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*((-99)\/(-18)*-212)\/5. What is the greatest common divisor of c and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10340 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -1, -127, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 16\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -60, -188, -440, -858, -1484?\n\"Answer: -7*x**3 + x**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253984 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37162680?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97861989 to the nearest integer?\nAnswer: 9893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.039 + 0.061. Let p be (-399)\/63 + 1*5. Let h be 54\/12*2\/(-3). What is the smallest value in h, q, p, 5\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 1. Let g = 7 - 5. Let n(o) = 0*o - 5 + 6*o - g*o. Let d(q) = -2*n(q) + 9*s(q). Find the first derivative of d(r) wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -4 (c) -63 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - m + 8. Let w = -10 + 10. Suppose w = -13*p + 8*p. What is y(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 (base 4) in base 9?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -522702.7*-0.1.\nAnswer: 52270.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**3\/6 + g**2\/2 + 2*g. Let f be b(4). Suppose -5*i - 10 = -z, -z - f*i = z - 50. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3240.82545 rounded to zero dps?\nAnswer: 3241","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1335*g**3 - 3*g**2 - 2*g - 5. Let l be c(-5). Suppose 2*p + 3*p + l = 0. Let t = p - -130361. What is t rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1001 and 1848.\nAnswer: 24024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/72000 and -43\/48000?\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/10)\/(9\/30). Suppose -o*v - 188 = 5*l, -3*l + 2*l + 3*v - 49 = 0. Let s = l - -74. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 1\/85716701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23\/((-230)\/(-10524)) - 2\/5. Let s = p - 599. What are the prime factors of s?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.24+0\nAnswer: -21.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-708)\/649 - 145\/(-143).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121988692181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3633 is divided by 70.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16 - -0.04. Let v be (-4)\/(-70)*11\/((-11)\/10). Which is the closest to -1? (a) v (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**6\/10 + 3*n**5\/20 - n**4\/4 - n**3\/2 + 32*n + 51. Let m(j) be the first derivative of d(j). Solve m(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 4*u = 6, 4*q = -9*u + 5*u + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 148.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/10065 and -23\/60?\nAnswer: 40260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + 14 + 1\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55337 is divided by 54532.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*d + 900*d - 14240 = 38846 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0366 rounded to three decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003724248 to six decimal places.\nAnswer: -0.000372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v - 2. Calculate o(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100168397 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(((-63)\/(-6))\/(-7)). Let d be (-4)\/(n + -2) - -3. Suppose -3*s = -2*v - 14 + 41, -5*s - 59 = -d*v. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9899585.000025 - 9899774. Let x = -189 - o. Round x to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:46 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41664 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50689 divided by 2?\nAnswer: 50689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7709257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 4:08 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80.45 + -0.26.\nAnswer: 80.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 2511.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 410\/453, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5521 divided by -443.\nAnswer: 5521\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-56) + 25\/(-36). What is the closest to -1 in -0.1, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*b + 1127 = 0, 2*b - 1521 = -3*x - 379. Let w be 25 - (4 - (7 + -4)). What is the greatest common factor of w and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**2 + 3. What is the units digit of n(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 880 by -62.\nAnswer: -440\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4082, -8169, -12256?\n\"Answer: -4087*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/7 (b) 0.1 (c) 8 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2*129\/(-430))\/((-6)\/(-190))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -86 + 96. Suppose -28 = -2*w + i*r - 6, 0 = 4*w + 3*r - 9. Calculate the highest common factor of w and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(98)\/sqrt(2))\/(sqrt(7) - (sqrt(84)\/sqrt(3) - sqrt(28))\/sqrt(4)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 11*t + 6. Let f = 7 - 8. Let d be ((-3)\/2 - f)*32. Let c be ((-1)\/(-2))\/(-1)*d. Let r(i) = i**2 + 7*i - 4. Calculate c*r(h) + 5*z(h).\nAnswer: -2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 18 = -4*y, -10*s + 6*s - y + 21 = 0. Calculate the least common multiple of 108 and s.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -116, -157, -220, -305, -412?\n\"Answer: -11*p**2 - 8*p - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 866 and 69459262?\nAnswer: 69459262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13735 - 13726. What is the least common multiple of x and 3713?\nAnswer: 33417","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -12. Let n = -7 + 6. Let l = 0.9 + n. Is l smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(567) + ((sqrt(567) + -1)*5)**2) + sqrt(567)*1*5 + 0 + 0)*2.\nAnswer: -142000 + 4500*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5165761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185.99 + 190. Let t = -0.01 + r. Let w = 0.0631 - 0.4631. What is the closest to t in w, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 29. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(539))**2.\nAnswer: -2700 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-92 + 92 + 166*o**2)*(4750*o + 6*o**2 - 4750*o - 12) to the form u*o**4 + l*o**3 + r*o + b*o**2 + z and give u.\nAnswer: 996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 - -1. Let u = 5 - 5. Let p = 2 - -3. Which is the nearest to 1? (a) u (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71819353 smaller than 71819359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 116, 182, 228, 248, 236, 186, 92, -52?\n\"Answer: -m**3 - 4*m**2 + 85*m + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 18978 - 4*z - 158450.\nAnswer: -z - 139472","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = -5*h. Let l be (3 - 2)*(h + 36). Let s = 5 + l. What is the highest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -91*z**4\/6 - 36885*z**3 - 2042451*z**2\/2 - 8136263*z\/3 + 60100 = 0.\nAnswer: -2404, -25, -3, 2\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1223880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from {r: 1, d: 4, n: 2, m: 2, f: 2, a: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -21*z + 133. Calculate m(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 2*a - a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -207193*p. Let b(s) = s**2. Determine b(o(d)).\nAnswer: 42928939249*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 423, 426, 439, 468, 519, 598, 711?\n\"Answer: t**3 - t**2 - t + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(40)*2)\/sqrt(8) - (3 + (sqrt(5) - sqrt(45)))).\nAnswer: -20*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15\/11*q**4 + 1\/11*q**5 + 164\/11*q**2 + 74\/11*q**3 + 168\/11*q + 64\/11 = 0 for q.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10951169?\nAnswer: 113, 199, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 h, and 1 a when three letters picked without replacement from jfcahagc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.7. Let l = -0.8 - -1.8. Let y = -8\/9 - -10\/9. What is the nearest to l in y, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -953 take away 29022320?\nAnswer: -29023273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, g: 2, j: 9}. What is prob of picking 1 n and 1 g?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1969624.8ns in hours?\nAnswer: 0.000000547118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h**2*k**2*n - 305103*h**2*n - 2*h*k*n - 3*h*k - 55980*h*n - 2*k**2*n + 3*k*n wrt h?\nAnswer: 10*k**2*n - 610206*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1765, 7062, 15891, 28252, 44145?\nAnswer: 63570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = 2*w. Let k = -72 + 87. Let x be (k\/(-6))\/((-1)\/(-2)). Put x, w, -4 in decreasing order.\nAnswer: w, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -3586.\nAnswer: -12\/1793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 17. Suppose 7*h + 13 + 8 = 0. Let x be s(h). Solve -2*j = -4*j - r + x, -4*r - 9 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 31*v**3 + v**2 - 3*v + 6. Let m = -67 - -72. Let r be -4 + (-28)\/(-8) + m\/2. What are the prime factors of p(r)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3078*a**3 - 4*a + 1. Let y(q) = -3078*q**3 + 5*q - 1. Let i(b) = -5*c(b) - 4*y(b). Is i(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 23. Let g = s - 11.1. Let z = -1 - -2. Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z**5\/5 + 51693*z**4\/5 - 190109*z**3\/5 + 194742*z**2\/5 - 56304*z\/5 = 0 for z.\nAnswer: 0, 1\/2, 1, 24\/11, 2346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let k(q) = -3*q. Let r be (-1 + 3)\/6*3. Let s(p) = r*k(p) + 6*x(p). Let j(o) be the second derivative of o**4\/2 + 3*o. Calculate j(s(w)).\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0*b - b + 1 - 5 + 2. Let v be s(-6). Solve -4*o + 5 = -3*g, v = -g - 2*o + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (55\/(-99) - -1)\/((-2)\/9). Let p be 1\/((-1 + 2)\/5). Let g be (-3)\/(-4)*(-16)\/p. Is m <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -5. Calculate the common denominator of 101\/22 and n*(-332)\/32*1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 339588 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (11022\/44)\/((-9)\/(-6)) is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 13 = -3*v, -24 = 3*v - 9. Suppose -i*k = -2*k - 60. Calculate the remainder when 22 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 2245352?\nAnswer: -2245344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1632\/((-15368)\/113)*(-1)\/188?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1))**(-12\/11) assuming x is positive.\nAnswer: x**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 7*m**2 + 10*m + 18. Let i be t(-8). Let p(o) = -208 + i*o + 208. Let l(w) = -6*w. What is l(p(b))?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/265, 5, 3, -0.24 in increasing order.\nAnswer: -0.24, -2\/265, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, e: 2, o: 1, r: 1, x: 4, v: 2}. What is prob of picking 3 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - -1.5. Let c = v + -22. What is the third smallest value in -0.3, 3, -0.4, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8642200 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -10, -94, -286, -622?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 8)*480\/540?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*v + 85*v + 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence badb when four letters picked without replacement from abaatdba?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 + -0.1. Which is the nearest to -6\/5? (a) 0.2 (b) 0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-2\/11))\/n**2)\/(n**(-2\/9)*n)**(17\/3))**(-7\/5) assuming n is positive.\nAnswer: n**(10864\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/3 - 186892*j - 1121360\/3 = 0. Calculate j.\nAnswer: -2, 280340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 - 1. Let k be b(1). Suppose -4*i = -3*n - 20, -4*i = -4*n - k - 15. What is the least common multiple of i and 15\/(15*(-6)\/(-60))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**4\/8 - i**3\/6 - 8*i**2. Differentiate g(m) wrt m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*l**3*x - g*l**3 - 2*g*l**2*u + 2*g*l**2 - 127*g*u*x - 2*g*x wrt x.\nAnswer: -g*l**3 - 127*g*u - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 87286055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 y, and 1 c when three letters picked without replacement from tncyi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -874a (base 12) to base 9.\nAnswer: -22374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7040 and 624?\nAnswer: 274560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3)*(2*a**2 - 5*a**2 + a**2) + (-4*a - a + 4*a)*(0*a + 2*a + 0*a) - 18*a**2 + 99 - 99.\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 + 2*k**4 - k**4 + (-k + 5*k - 3*k)*(-4*k**3 + 6*k**3 + 4*k**3).\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53018677?\nAnswer: 3697, 14341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 186*y**2. Let h(n) = -26*n. What is h(b(o))?\nAnswer: -4836*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d\/(d\/(d**(-1\/7)*d)*d))\/d)\/d)*d**6)\/(d\/d**(-4)*d*(d*d**(-3))\/d))\/((d*d**(-2\/19))\/d*d**4*d**(3\/5)*d**1) assuming d is positive.\nAnswer: d**(431\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 300249739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(98) - sqrt(98)*-2)*-5 + -1 + -4 + sqrt(98)*1)**2.\nAnswer: 1176*sqrt(2) + 19244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0463 and 125.76989?\nAnswer: 125.81619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/18 - 4)\/(47\/12 + -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 7*b**6\/120 + b**5\/12 - b**4\/12 + 17*b**2 + 13. Let y(s) be the second derivative of u(s). Factor y(c).\nAnswer: c*(c + 1)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 8:21 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 536015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.04 - 17.04. Which is the smallest value? (a) 0.1 (b) -72 (c) h (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 7:06 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -592440 (base 10) in base 13?\nAnswer: -179874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-25)*5\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9035566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107996*o**3 + 11*o**2 - 392*o + 2?\nAnswer: -647976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007694059 rounded to 6 decimal places?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161\/2741 or 1023?\nAnswer: 161\/2741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5448 by -1816.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -77. Let a = 140 - q. Suppose 4*s + 4*z - 98 = -14, 5*s = -2*z + a. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 26 + 9*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, o: 5, w: 4}. Give prob of picking 2 w.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8*h\/h**(-2\/5)*(h\/(h\/h**(1\/3)))\/h**10)**(2\/21) assuming h is positive.\nAnswer: h**(-8\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15425303 + -4?\nAnswer: -15425310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(1300) + -5 + sqrt(13) - 2*sqrt(13)*-1) + 0 + sqrt(208) + sqrt(13) + (-4*sqrt(26))\/sqrt(2))**2.\nAnswer: -150*sqrt(13) + 2950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217 and 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Suppose -z*p = d - 15, 0 = 2*p + 3*p + 4*d - 5. Suppose -p*n - 4 = -14. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39248717?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (249*j + 2 - 173*j - 1 + 256*j - 3)*(-14*j - 11*j + 31*j) in the form a*j + o + g*j**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -2*y - 25. Suppose 4*l - 3*h - 94 + 3 = 0, 3*l - 5*h = 60. Let d = l + -23. What is the least common multiple of d and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -15753.\nAnswer: -7\/5251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*(-4 + sqrt(1872) + (sqrt(1872)*2*1 - sqrt(1872)) + sqrt(1872)) + 2)**2 + -4.\nAnswer: -864*sqrt(13) + 67427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3))**(23\/4)\/(j**1)**(1\/2))**(-1\/50) assuming j is positive.\nAnswer: j**(6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/10 in -1, -2\/5, -2, -0.03, -78?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9612?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.3 and -2.085.\nAnswer: 29.8155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*d + 137*d + 442*d = 1408. Let j(a) = 2*a**3 + 2*a**2 + 2*a - 1. What is j(d)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 13. Let l be d(9). Find the third derivative of b**5 - 5*b**2 - 5*b**5 + 2*b**l wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3186 and 1062?\nAnswer: 3186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -384266 to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*i = 2*f - 39, -4*i + 52 = f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**3 + 3*n**2 - 2*n + 3. Let z be 1*2 + 5\/5. Suppose -z*w + 10 = 4. Is u(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9526 + 76805. Let h = f + 53008. Suppose i = 480287 - h. What is i rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(-7)\/i))\/i)\/((((i\/((i**(-2)*i)\/i))\/i)\/i)\/i))\/(i**(2\/5))**40 assuming i is positive.\nAnswer: i**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/8*o**2 + 11\/4*o - 121\/8 = 0. Calculate o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21429620.\nAnswer: 2, 5, 661, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*c - 0*c + 200, 3*l - 36 = -5*c - 158 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63964 is divided by 759.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + l**2 + 3*l. Let y be f(2). Solve q + 2*q**3 + q + q**3 - 2*q**3 - 3*q**y = 0 for q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2662\nAnswer: -5\/2662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -669.2 - -669. Which is the nearest to -0.14? (a) 2 (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/715104 and 137\/14898.\nAnswer: 715104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwq when three letters picked without replacement from vqwwbtwvtvtvt.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k + 6. What is the common denominator of (k\/(-44))\/((-3)\/138) and ((-166)\/3)\/((-184)\/(-69))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 350 + 1\/(-5)*-5. Suppose 2*t - 5*t = -p. Let y = t + -67. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 24 = 3*q, 0*h - 20 = -5*q - 5*h. Let z be (18\/(-15))\/((-4)\/70). What is the highest common divisor of q and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011001110010100 + -101?\nAnswer: 1001011001110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-6*sqrt(5)*-2) + 0.\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -92 in 2, -4, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13341 is divided by 2920.\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 522 + -522.82. What is f rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + 2*o**3 - 2*o**3 - 1 - 2*o**4 + 1 + (2*o**2 - 2*o**2 - 2*o**2)*(2*o**2 - 4*o**2 + 0*o**2) - 2*o**4 - 2*o**4 - o**4 + 3*o**2 - o**4 - 3*o**2.\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/728 and -81\/364.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-4) + (-45)\/(-4). Let x(t) = t**2 + 13*t - 21. Let p be x(-15). Suppose 0 = -3*o + 6 + p, 4*o = 3*h + 20. Solve -3*k + h = y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 10 = 8*n. Let d be (5\/((-15)\/(-6)))\/n. Solve 4*u - d = -17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6739 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:06 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11 + 12 + n - 3. Let i = 41 - 53. Let b be j(i). What is the highest common divisor of b and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*y - 3*n - 63 = 107*y, 2*n = -8*y + 198 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/7 - 111*r**3 - 9484*r**2\/7 - 31620*r\/7 - 13536\/7 = 0.\nAnswer: -376, -6, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*c*h**3*p + 24*c*h*p**2 - 6*c*h - 2*c*p + 6*h**3*p**2 + h**2*p**2 + 5*h**2*p wrt p.\nAnswer: 48*c*h + 12*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55184, -55208, -55248, -55310, -55400?\n\"Answer: -o**3 - 2*o**2 - 11*o - 55170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 5, 1, 163, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 c, and 1 g when four letters picked without replacement from {r: 3, m: 2, g: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.08824+0.917\nAnswer: 1.00524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, b: 6, r: 2, p: 1, e: 1, v: 2}. What is prob of picking 1 p, 2 b, and 1 v?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-762)\/153 - -5) - (-1736)\/(-5797).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -1\/9*h**4 - 2\/3*h**3 - 4\/9 - 4\/3*h - 13\/9*h**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 281, 59, 5, 4 in descending order.\nAnswer: 281, 59, 5, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y + 27*y - 26*y.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 30 = -5*d, 0 = 4*d + 2*t - 11 - 13. Solve -96*l + d = -94*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 11*n**4 + 3*n**2 - 3*n**2)*(92 - 92 - 14*n)*(5 - 1 - 1).\nAnswer: 462*n**5 - 42*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(336) - (sqrt(336) + sqrt(336) + 1*sqrt(336)))*-3*6)\/((sqrt(2916)*1)\/(sqrt(12) + 1*sqrt(300))) + 1)**2.\nAnswer: 192*sqrt(7) + 64513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 u when three letters picked without replacement from {v: 1, u: 4, k: 1, g: 1, b: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(1\/5)\/v*v*v*v)\/v)\/v*v*v*v**(9\/4)*v)**(-22)\/((v**1)**(-4\/23))**(-5\/8) assuming v is positive.\nAnswer: v**(-16331\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 372, 4, 1\/45, -3 in increasing order.\nAnswer: -3, -1\/2, 1\/45, 4, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -308 divided by -328309\nAnswer: 308\/328309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -85 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 661, 659, 657, 655?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + (-804)\/335.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 37414.\nAnswer: 37414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22085 and 193717?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a micrometer in nanometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 3) + -10 + -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -283, -1 in increasing order.\nAnswer: -283, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744032 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 328*s - 164. Let i(l) = 41*l - 20. Let p(w) = -41*i(w) + 5*n(w). Let d(a) be the third derivative of a**5\/60 - 2*a**2. Give d(p(h)).\nAnswer: 1681*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2926 and 399.\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 4*j**2 + 5*j - 5. Let v be q(5). Let s = -15.97 + 17.97. What is the biggest value in s, v, 2\/25?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 1, u: 1}. What is prob of sequence uu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 15*v - 34 = -60 - 93 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((2*sqrt(684) - sqrt(684)) + 2 - (2 + -1*sqrt(684)))*-4)**2.\nAnswer: -480*sqrt(19) + 43801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffdffffsf. Give prob of sequence sd.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqx when three letters picked without replacement from xssxssyqmsxxxys?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 14. Let l = 3 - i. Solve -l*w - 8 = 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((8 + 4)\/4)\/(3\/362) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 10*o**2 - 11*o + 3. Let s be j(-11). Let u = s + -3. Let y be (2\/(-4))\/(2\/4). Sort u, y, 4 in increasing order.\nAnswer: y, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -767\/9 + 85. Let c = 0.214 - 0.054. What is the smallest value in d, -2\/5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 0*s**3 + 14 + 0*s**2 + 2\/15*s**5 - 1\/3*s**4 + 0*s. Factor i(z).\nAnswer: 2*z**3*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 + 5*n + 68\/3.\nAnswer: -(n - 34)*(n + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/7 - 2796*p\/7 + 14080\/7.\nAnswer: -4*(p - 5)*(p + 704)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 413747 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.563606 + -12.57. Round r to four decimal places.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 - b**2 + 6*b**2)*(b + 2*b**3 - b) + 3*b**5 - 7*b + 4*b + b**5.\nAnswer: 6*b**5 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 62. List the prime factors of 31 + 1\/(d\/(-2) - 1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/2 - -31\/6. Let d = -11\/1326 - -147959\/13260. Let k = -52\/5 + d. Which is the nearest to -1? (a) -1\/4 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 10615?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16.4 from 12.8.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 103 = 7*s. Suppose 4*k - s = -2*v, 0 = -5*k + v + 4*v + 35. What is the nearest to k in 4, 1\/2, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 + 957*i**2 + 0*i**4 - 47 - 949*i**2)*(2 - 4 + 4).\nAnswer: -6*i**4 + 16*i**2 - 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16230*w = 16081*w + 12963 for w.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 176394936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -48*h + 113. Let a(x) = 20*x - 56. Give 5*a(l) + 2*q(l).\nAnswer: 4*l - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476946?\nAnswer: 2, 1021, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 10*x - 2. Let c be t(-7). Suppose 0 = 8*p - c - 21. Find the third derivative of 3*n**5 + 15*n**2 + 12*n**5 + 0*n**p wrt n.\nAnswer: 900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 4)*(1639*q + 1192*q - 1010*q).\nAnswer: 5463*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:27 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 6. Let s = -11 + b. Let w be 1\/(4*s\/60). Sort w, -1, 2.\nAnswer: -1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 4. Let h be r(0). Let q be 6\/8 + 42\/8. Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)\/(q\/(q*q*q**(-1))))\/(q**(-1\/5))**(-6) assuming q is positive.\nAnswer: q**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 3, -0.4, 5, -106, -2\/27 in increasing order.\nAnswer: -106, -0.4, -2\/27, 3, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + x. Let s be p(1). Suppose s = 3*t - 6. What is the third derivative of j + j**3 - j + j**t wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 1)*(37 - 12 + g - 16*g) to the form y + d*g and give d.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 + 27*c - 14. Let i be j(-6). Let o(z) be the first derivative of -1\/16*z**i - 6 + 1\/12*z**3 + 1\/8*z**2 - 1\/4*z. Factor o(r).\nAnswer: -(r - 1)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28703.\nAnswer: 28703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 116. Let l(q) = -d - 93 + 191 - q**2 + 3*q. Calculate l(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 7*n - 2*n)*(-3 + 6 - 1) + 187 - 187 + 16*n - 2 + 5 - 1 + 4*n - 4*n + 0*n + 2*n.\nAnswer: 22*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3741, 0, -5\/19 in increasing order.\nAnswer: -3741, -5\/19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 99 + (-2 - 6\/6). Find the common denominator of -33\/16 and (48\/(-10) + -1)*30\/m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (126864\/(-6))\/(-1) - 5*(0 + 1).\nAnswer: 21139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/98 - 6\/(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1460 + 1?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 735460 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 21*t**2 + 1. Let x(y) = -2614*y**2. Give k(x(v)).\nAnswer: 143492916*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 5:55 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.688 to 1 dp.\nAnswer: 21.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -502 + 158*o**2 + 484 - 170*o**2 - 5*o + 3*o - o in the form t + s*o + h*o**2 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61344581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1453*x**2 + 4*x - 1452*x**2 - 138*x + (-2 + 2 - 2*x)*(0*x - x + 2*x).\nAnswer: -x**2 - 134*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 870 + -458. What are the prime factors of b?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 4:17 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 19*l**2 + 7*l + 10. Let n be v(0). Suppose -y = -2*r - 70, -2*y + 170 = -0*r + 2*r. Calculate the highest common factor of n and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4278549346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + (sqrt(240)\/sqrt(4))\/sqrt(10) + sqrt(96)*6)\/(-5*(sqrt(21) + sqrt(63)\/sqrt(3))\/sqrt(7)))**2.\nAnswer: 338\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 42*v - 4. Is 20 a factor of d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3244 + 1094 = -43*s. Solve 0 = -12*a - s + 134 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -113*r - 1246. What is the lowest common multiple of 56 and g(-14)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92 - (-49 - 55)) + (0 - 148) + 1 + 4.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/55))\/(l\/l**(-10\/11))*l\/l**3*l*l*l\/(l\/l**(2\/43)))**(1\/34) assuming l is positive.\nAnswer: l**(-977\/40205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*y - 89 = 38, 4*r + 5*y - 190 = 0. Solve -w + 2*c + 0*c = 15, 4*w - 5*c + r = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -1\/5, -15, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*k + 4, 89*y - 86*y + 12*k + 12 = 3*k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f*f)\/(f*f**(1\/2)\/f))**(-29)*(f**6*f\/(f*f**(-2\/5)))\/(f**(-1))**(-1\/34) assuming f is positive.\nAnswer: f**(-3156\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/7, -3\/7, -30, 0.3, -2.5, 7, -19?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 508*g + 485. Is l(32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3873891 rounded to 3 decimal places?\nAnswer: -1.387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 92*g - 480. Calculate h(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(9\/(36\/16)). What is i in 2\/5*i**3 - 4\/5*i**2 + 0 + r*i = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 3:36 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 913*m**4\/6 + 2937*m. Let n(y) = 3*y. Determine c(n(f)).\nAnswer: 16434*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u - 15. Let h be w(-10). Let -4*p**2 + 5*p**2 + 7*p**2 + h*p - 5*p**3 + 35 + 17*p**2 = 0. Calculate p.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1355 + -1348. Let r(o) = -o**3 + 6*o**2 + 4*o + 28. Calculate r(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = n + 5 + 2, -4*n = 5*d. Let r be 3\/1 + (33 - 6). Solve -5*s - 5*b + r = 0, 0 = 5*s + b - 15 + n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168889801 to the power of 1\/2, to the nearest integer?\nAnswer: 12996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*h + 8568, j + 12*h - 16*h - 2160 = 0. List the prime factors of j.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 + 1552090*m**3 + 120447616305*m**2 - 240899888900*m + 120450720500.\nAnswer: 5*(m - 1)**2*(m + 155210)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.063442\nAnswer: -0.126884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 6*p - 58. Give r(-13).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 189*b + 2288. Determine g(-176).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -4*y**3 - 42 - 50*y + 3\/4*y**4 + 0*y**2. What is the first derivative of t(l) wrt l?\nAnswer: 9*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgqggggqgg. Give prob of sequence qggq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 2*x = 388, -4*f + 390*x = 395*x + 118 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.6102734352339 + -1104136.5380236747661. Let f = -1104144.1 - x. Let y = -0.0483 + f. What is y rounded to 7 decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -148?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4303381 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1. Let q(d) = d + 8. Let y(b) = 24*a(b) - 3*q(b). Let g(u) = -179*u. Calculate y(g(c)).\nAnswer: 537*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, 2, 5, -4 in ascending order.\nAnswer: -101, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.7134 and 14807206.\nAnswer: 14807208.7134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 - 98. Let x be (-66)\/(-14) - 4\/(-14). Suppose -5*y - 75 = -5*c, a*c - 25 - 22 = x*y. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2\/3 + 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 + (-43 + 29 - (-17 - -2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 4, 43001, 0.0554?\nAnswer: 0.0554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 150, -1126, -2404, -3684, -4966?\n\"Answer: -z**2 - 1273*z + 1424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1424\/(-480) + 1 - 6\/180\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = t + 3*t + 4, -3*v + 4 = -4*t. Suppose -7*w = -4*h - 3*w + 12, 3*h - 5*w - 1 = v. Calculate the remainder when 69 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/5, 25, 0.23418?\nAnswer: 0.23418","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41333404 (base 5) to base 10.\nAnswer: 339854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c + 295 - 454 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s - 5*g - 13, -3*s + g + 53 = 0. Let f be (4\/(-6))\/((-6)\/s). Let t = 3.2 - 3. Sort f, t, 1\/3 in descending order.\nAnswer: f, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305909003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4008, -8047, -12086?\n\"Answer: -4039*x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598907 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/11*i**2 - 2\/11 + 12\/11*i.\nAnswer: -2*(3*i - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -3\/11?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 10. Let k = 75 - 51. Let v(x) = 8*x + 9*x + 1 + 5*x - k*x. Calculate v(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2233215 and 8523.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3814 + -3224. Round n to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304 - 367 + 90 = 83*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (24 - (180 + -7))) + -29?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444230.\nAnswer: 2, 5, 31, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b2 (base 14) in base 12?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2026, -3476, -4932, -6394, -7862?\n\"Answer: -3*a**2 - 1441*a - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 136 + 10. Let j = k + 119. Calculate the remainder when j is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -318 and 0.5.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -155, -333, -577, -887, -1263, -1705?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-20)\/8*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2 + 6*g + 2*g - 6*g - 4*g wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11686769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 10 = -m + 36, 0 = 4*v - 3*m - 18. Let g be 8\/28 - (-19)\/7. Solve v*i = g*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2432 + -2441. Let x(g) = g**2 + 11*g - 21. Give x(h).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c + 1000. Suppose -1095 = 40*j - 2815. What is the remainder when c is divided by j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -4*s + 5*s - 13, -3*s = -f + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*i**2 - 464*i**2 + 4*i**3 + 5*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 24*r - 49. What is the remainder when a(13) is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183.7 + 26.3. Let n = q - 214.28. Let g = 0.38 + n. Round g to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9*o + 20 = 0. Suppose o*i - 5*d + 282 = 0, 4*i - 76 = 5*i - 4*d. Let m = i - -72. Solve -2*g + m = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1 (b) 8 (c) -3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81789?\nAnswer: 3, 137, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 49\/(-14)*(-4)\/7. Let j(a) be the first derivative of 0*a**g + 0*a - 1 + 1\/3*a**3. Let c(y) = 2*y**2. Calculate c(j(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5*z = -3. Suppose -6*r + 2804 = -2*r - 4*a, -2805 = -4*r + z*a. Suppose 0 = -16*v + r + 706. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 84, 1, 5\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/107 (b) 925 (c) 2 (d) -1 (e) 0.164\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -19. Let l(y) be the second derivative of 1\/3*y**4 + 0*y**3 + 0 + y + 0*y**2. Let p(o) = -o**2. Determine v*p(u) + 3*l(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(1 - (1 + -1)). Suppose -2*k + 24 = 4*w + k, -4*w = -q*k. Solve -w*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**5 - 122*t**4 - 1542524*t**3 - 2295*t**2 + 465*t + 9.\nAnswer: -120*t**2 - 2928*t - 9255144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3)*-1*(-12 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/23205 and -11\/8190.\nAnswer: 139230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 22*r - 78. What is the remainder when p(4) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 266.228 + -266. What is u rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115 - 101. Suppose 418 = -u*r + 16*r. What are the prime factors of r?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsxsx. What is prob of picking 3 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + d + 1. Let o(n) be the third derivative of n**5\/30 - n**4\/8 - n**3\/2 - n**2. Let g be 42\/7*(-3)\/2. Let c = -12 - g. What is c*a(m) - o(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-214)\/30 - (-6 - 880\/(-150)). Let w(r) = r**2 + 5*r - 14. Let b be w(l). Solve -h = 4, 4*h = 4*v - 24 - b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*x = -9*x + 161190, 0 = -2*f - 5*x - 161210. What is f rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -1\/9*z**2 + 0*z**3 - 7 + 1\/54*z**4 - 3*z. Let l(m) be the first derivative of c(m). Factor l(f).\nAnswer: 2*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3\/6 + 199225*w**2\/6 - 597713*w\/3 - 3984620\/3 = 0.\nAnswer: -199231, -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 + 106. Is ((-5)\/r)\/(1\/(-2931)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -372 - -2554. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2622 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 1359\/880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 80 in -2, -1, -4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (6 + -4)) + (-3 - (3 + -3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2, 4, 1033?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34, -5, 76, 233, 490?\n\"Answer: 4*v**3 + 2*v**2 - 5*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 74*j + 372. Give a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - 7989?\nAnswer: -7998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, -8, -25, -48, -77?\n\"Answer: -3*b**2 - 2*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 20 + s - 2*s + s in the form z + h*s and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 + -641216?\nAnswer: -641261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = m - 4*g, 3*m - 8 = m + g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23704 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2671727890 rounded to the nearest one million?\nAnswer: -2672000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-5 + 7) - -5 - -36.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258779759.\nAnswer: 7, 619, 59723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.3 - 4. Let z be (0 - (6 - 2)) + 8\/2. Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 2\/7, 11, 1, -0.4 in descending order.\nAnswer: 86, 11, 1, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(10\/13)\/(l\/(l*l**(-2)\/l*l))**(-22) assuming l is positive.\nAnswer: l**(1149\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*a**5 - 171201*a**4 + 14816436*a**3 - 20480304*a**2 - 15873024*a - 2119728 = 0. What is a?\nAnswer: -1118, -2\/5, -2\/11, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533847 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -7. Suppose -b - y = 0, c*b + y = -y + 9. Suppose -x + 596 = b*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -11. Let o(t) = t**3 + 4*t**2 - 2*t - 6. Let l be o(k). What is the derivative of -3 - 2*s**2 + s**3 + 2*s**l + 0*s**3 wrt s?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/1*(-1482)\/494?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 0 + 4 - -1. Suppose -3*h = g - 137, 2*g + g + 117 = t*h. Suppose -l + 45 + 5 = -3*q, 0 = 5*q + 30. Calculate the least common multiple of l and h.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.032, 2\/3, 0.5, -1\/5, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20181\/40 or -505?\nAnswer: -20181\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s - 17. Determine j(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r + 3. Let b be o(0). Let d be 3 - ((-2)\/2)\/(-1). Let n(q) = -q**d + 4 + 2*q + 2*q**2 - 3*q. Give n(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14*v. Let m(f) = -562*f + 32. Let b(t) = 313*t - 16. Let u(z) = 9*b(z) + 5*m(z). Calculate u(c(i)).\nAnswer: 98*i + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 2:41 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y + 35. Determine t(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.37? (a) -2\/23 (b) 0.2 (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179*s**2 + 3*s + 2 wrt s.\nAnswer: -358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 386.8 + 48.2. Is -1 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1051 (base 6) to base 3\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 370773696 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(500) + sqrt(500) + (sqrt(500) + sqrt(500)*-2 - sqrt(500))*-2))\/(sqrt(720)\/sqrt(5) - -2*(sqrt(4)*-1 + sqrt(4))).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.027 - -2.273. Let u = k - 2.1. Let q be -3 + -3*21\/(-18). Which is the smallest value? (a) u (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 196.696.\nAnswer: 196.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + ((sqrt(1700)*2)**2*3 - ((1*sqrt(187))\/sqrt(11) + ((sqrt(17) + sqrt(17) + -2*sqrt(17))*-5)**2))).\nAnswer: -5*sqrt(17) + 101990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 227, 258, 309, 380, 471, 582, 713?\n\"Answer: 10*c**2 + c + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 395617988*w**2 + 19957510*w.\nAnswer: 791235976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29288*k**2 + 19409*k.\nAnswer: -58576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**8\/(l*l\/(l\/(l**9\/l*l)*l)*l*l))\/((l**(-4\/3)*l*l)\/l**(1\/7)))\/((l\/l**(-2)*l*l)**(1\/76)\/((l*(l*l*l**1*l)\/l*l)\/l**(1\/3))) assuming l is positive.\nAnswer: l**(573\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**6\/120 + 2*o**5\/15 - o**4\/3 + 11*o**3\/6 + 14*o**2. Calculate the lowest common multiple of l(7) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169578 is divided by 18842.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 4:27 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**3 + 2*u + 17*u - 1 - 3*u. Let b be c(11). Suppose -3*k = -26330 + b. Round k to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 + 0*b + 0*b)*(-22 - 70 + 18) to x + z*b**2 + t*b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -6\/11, -5, -43, -1 in decreasing order.\nAnswer: 9, -6\/11, -1, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 16) to base 3\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(162) + 0)*5*4*3 + 5.\nAnswer: 725 + 1620*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -6. Let r = -6.05 + k. Let s = 36935\/13 + -2841. Which is the fourth smallest value? (a) 2 (b) s (c) r (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 11181.\nAnswer: -1006.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15520, -31039, -46556, -62071, -77584, -93095, -108604?\n\"Answer: i**2 - 15522*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Suppose 0 = 2*j - 7*j + x + 66, h = -2*x + 8. Let r = j + 5. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010010011011100011 (base 2) in base 7?\nAnswer: 22144653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = b + 18, 4*b + 5*s = 5 - 33. Let m be 3 - (6 + b + -1). Suppose d + 3*d - 5*y + 21 = m, -4*y = -20. What is d rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 12*j = -5*w - 31, 0 = -2*j + 3*w - 101. Let b be (-7)\/(-5)*(51 + j). Solve -2*p + a + 1 = 0, 5*p + 0*a - b = a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 3*c + 23*c**2 + 53*c**2 + 2. What is the units digit of i(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -600 + 600.01548. Round o to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20948504 or 20948505?\nAnswer: 20948504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 83*t - 3329. Give m(28).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 110639452?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26427 - 2988*y + 857*y - 26427)*(6*y + 5*y**3 - 6*y) to j + h*y**2 + u*y + x*y**3 + w*y**4 and give w.\nAnswer: -10655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -977 - -981. Which is the smallest value? (a) l (b) -4\/9 (c) -4\/5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 11*i + 380. Let l be c(20). What is the highest common factor of 220 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 2 + 5 + -3. Suppose -3*s = 2*n - 0*s - 3, -o*s = -9. Let b = -1 - n. Solve m = 5*k - b*k + 1, 4*k + 5*m = 24 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.21 in 4, 1, 53\/9, -0.4, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxmb when four letters picked without replacement from {x: 1, b: 1, m: 7}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49.2046 - -0.2046. Let c = 24 - 72. Let p = g - c. Do 2\/3 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from pbbpbpp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000052998 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 0*p = 12*p - 7*p - 48, 0 = z - 2*p + 22 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22591.769 - -23014.1. Let q = -422 + h. What is q rounded to 2 dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1019.81 + -38.19. Is c > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g + 20. What is the nearest to -2\/5 in -4\/7, g, 0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*x + 135*x - 3570 + 510 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-1*sqrt(4)\/sqrt(2) - sqrt(2)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*u - 10, 3*n + 2*u + 7 = 1. Let p(i) = -3 - 1 + 9 + 20 - 5*i. Let o be p(6). Sort o, n, -6 in decreasing order.\nAnswer: n, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.37 greater than or equal to -174948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 62. Solve 14*d = j*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + g + 2, g - 3 - 3 = 5*a. Let v = 3 - a. Suppose h = v*u - 7, -4*h + 7 = h - 4*u. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -85. Let o = -38 + z. Suppose -17*b + o = -13*b. Calculate the smallest common multiple of b and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, 1, -0.78?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4684, 4680, 4676?\n\"Answer: -4*v + 4688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.194925 rounded to 4 dps?\nAnswer: 0.1949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 5, 1, 68, -4.\nAnswer: -4, -2, 1, 5, 6, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -3 - (276 - 242)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -30 - 40. Suppose -106 - 12795 = -t*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b2e8 (base 15) to base 10\nAnswer: 37793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.13846ug in nanograms?\nAnswer: 37138.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 574912705 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 4. Suppose -n = -f - 14, f = -2*f - 3*n - 36. Let p = f - -10. Give i(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 8*k**2 + 9*k + 10. Calculate the remainder when j(7) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/168 and 53\/72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -3*z + 2*z - 505. Let d(x) = -x**2 + 15*x - 45. Give d(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -12*f**2 - 2*f + 6. Let n(o) = -o**3 + 8*o**2 - 9*o + 3. Let x be n(6). Suppose 21 + x = 3*z. Calculate the lowest common multiple of z and l(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bad88 (base 16) in base 11?\nAnswer: -482aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7471158407?\nAnswer: 277, 26971691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13.081 tonnes?\nAnswer: 13081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (9 - (-1 + -2)). Let x = y + 13. Suppose x = 3*w - 9, 3*t + 3*w - 33 = -t. Solve 2*j - 2 = -2*f - t, 2*f - 3*j = 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 4*l**2 - 14*l - 8. Let d be c(-6). Suppose 5 = -18*f + 23*f - n, -3*f - d*n + 3 = 0. Which is bigger: f or 5\/351?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76902 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*m**4 + m**3 - 10281*m - 38159986 with respect to m.\nAnswer: -376*m**3 + 3*m**2 - 10281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 47 + 59. Suppose 0 - 1\/2*o**i - 1\/2*o = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810549.6224 rounded to the nearest ten?\nAnswer: 810550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4 - 76*w**3 + 714*w**2 + 304*w - 2888 = 0.\nAnswer: -2, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 18. Let t be v(0). Let w = -7 - t. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:09 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/210 and -9\/1040.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-183)\/244 - 1\/(-2). What is the closest to 90 in -4, k, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/(1\/(-1))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24818387 divided by 2256217.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.008 (b) -4 (c) 5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83597322, 83597320, 83597318, 83597316, 83597314?\nAnswer: 83597312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -61485 < -61485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 349433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -4.1283, -9, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21, 1, 2.\nAnswer: -5, 1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 159207*o - 777673 wrt o?\nAnswer: 159207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42372)\/(-10) + (-16)\/(-20). Find the second derivative of 21*i - 9*i**2 + v - 4238 wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((925\/(-3330))\/((-5)\/2))\/1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195449?\nAnswer: 3, 83, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8 + 0*b**3 - 6 + 11*b**2 + 9 - 11*b - b**3. Suppose 0 = 5*y - 2*y - 30. Let r be z(y). Is -2\/43 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244902094 a multiple of 944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 4*o**2 - 4*o + 12. Give k(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48\/241 + 4427\/8917. Let i = p + -3485\/148. Calculate the common denominator of i and 79\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*x**3 + 9*x + 1414?\nAnswer: 6*x**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264620 (base 7) to base 3.\nAnswer: 2112011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*10\/(-4) - (-161195)\/(-1565)) + (-26)\/(-2)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*t + 820, 4*t - 3*p = -594 + 1411. Suppose -2*k + t = -n, 4*k - 408 = -0*n + 4*n. Calculate the greatest common divisor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 3*o + 348 = 11*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 2*b - 3. Let m be l(0). Let i be 0\/(9\/m + 1). Suppose -86 = -2*t - i*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 11*r - 2. Let f be i(5). Factor 0*b**2 + 0 + 2\/3*b**5 + 2\/3*b - 4\/3*b**f + 0*b**4.\nAnswer: 2*b*(b - 1)**2*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 197 = -3*u + 221, 0 = -2*r - 9*u + 33 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12673 divided by 177?\nAnswer: 12673\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2. Let l(i) = -5*i**2. Let b(y) = -3*l(y) + 6*w(y). Suppose 3 = 4*k - k. What is the remainder when 35 is divided by b(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.53993*2\nAnswer: -29.07986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**5 - 3*y**2 - 4*y**2 + 5*y**2 + 3*y**4 - y**5 - 3*y**4 + (2*y**5 + y**2 - y**2)*(1 + 0 - 3) - 2*y**5 - 2*y**5 + 5*y**5.\nAnswer: -7*y**5 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 39050.63 millilitres?\nAnswer: 39.05063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyytyjnyjyya. Give prob of picking 1 a, 1 n, and 1 y.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {s: 2, y: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(150\/((-7650)\/(-51)))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 603506464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(65) - -1*sqrt(65))*-2*6)\/(sqrt(125) + (sqrt(125) + sqrt(125)*2)*3) + 5).\nAnswer: -25 + 12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 27. Let f(j) = 4*j + 24. Let h(q) = 2*f(q) - 3*i(q). Let w be h(-37). Which is the third biggest value? (a) -4 (b) 1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 704 and 1118084?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -37 - 83. Suppose 5*w + 0*w = s. Solve -5*d - p = -7, w*d + p - 5 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 18, z: 1}.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4927 - 9028*y**4 - 1201 + 11229*y**4 wrt y?\nAnswer: 8804*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**4\/4 + 4*o**3\/3 - 3*o**2\/2 - 1. Let c be j(2). Let m be 5*4*(-3)\/(-30). Solve -8 = -4*h + 2*i, i = -c*h + 5*i - m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, -10, -5, 5, 1 in decreasing order.\nAnswer: 10, 5, 3, 1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1604 - 10215 - 1271 = -366*g for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 13*y + 7*y**2 - 6*y**2 + 5*y - 42. Let a be g(-20). Let w(q) = q**3 + 2*q**2 + 4*q + 3. Determine w(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*u**3 - 60*u**2 - 20*u = 0. Calculate u.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 315?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o. Let w(q) = -7*q - 1. Let i(s) = -6*t(s) + 5*w(s). Let v be i(3). What is the highest common factor of 24 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -1\/2, -45, 853, 0.1?\nAnswer: 853","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2 + 132*w - 130 = 0.\nAnswer: 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y - 20 = 4*x, 0 = 2*y - 2*x + 8. Let i = -56517.02 + 56517. What is the second biggest value in y, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -5*(-5 + sqrt(300)))*-2 + 3 + 5*(-1 + sqrt(300) + -1 + (4 + -3*sqrt(300) - sqrt(300))))**2.\nAnswer: 5180*sqrt(3) + 16069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 325720000 to the nearest one million.\nAnswer: 326000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*p**3 + 329*p**3 - 106*p**3 - 111*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*o - 397*o - 724 + 9876 = 0. Calculate the remainder when 577 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -402221 (base 6) to base 9\nAnswer: -47334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24301*d**4*p + 20573*d*p wrt d.\nAnswer: 291612*d**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -43 + (61 - (28 - -13))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**5\/60 + 11*y**4\/24 + y**3\/6 + 2*y**2 + 466. Let t be (4*1)\/(-2) - 9. Let q be b(t). Solve -4*j - 13 + q = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12237 times -7614?\nAnswer: 93172518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896) + sqrt(896)*-5)\/sqrt(2) - (sqrt(315)\/sqrt(5)*-3)\/sqrt(9).\nAnswer: -29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003063 to 5 dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -12\/245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 31416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2462 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 8. Let v be r(-4). Let y be (-12)\/(-45) + v\/(-10). Let a = 0.2 - 0.2. What is the closest to a in 3, y, -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2888 + 2888 + 41*z)*(3 + 2 - 2) + (2 - 2 - 2)*(1 - 1 + 2*z).\nAnswer: 119*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 11*l**2 - 10*l + 4. Let d be 26\/3 - 20\/(-15). Let c be i(d). Solve -1 = -g + c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2. Let w(m) = -21034986*m**2. What is w(y(q))?\nAnswer: -84139944*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n - 110 = 0. Calculate the remainder when 42 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 16824 = -2*z, b = -3*z - 9122 - 16106. Let t = -4863 - z. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*i + 5*f, 4*f + 22 - 6 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -591, -368, 457, 2184, 5113, 9544, 15777, 24112?\n\"Answer: 50*n**3 + n**2 - 130*n - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -330.7 - -331. Let q = -5.41 + 1.17. Let j = q - -0.24. Sort -5, j, k.\nAnswer: -5, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhwh when four letters picked without replacement from {h: 2, w: 9, q: 4, t: 4}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37, -21, -5, 11, 27, 43?\n\"Answer: 16*v - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21672 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3*2\/(-4))\/(-29 + 14). What is the biggest value in s, -1, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5 = m, -1323*m + 1328*m + 3 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*d**4*t + 20*d**3*t**2 - 70*d*t**2 + 19*d*t wrt d.\nAnswer: 300*d**2*t + 120*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 - 85*z**3 + 6*z**4 + z + 4 + 86*z**3 + 1 + 1 to the form f*z + i + m*z**2 + d*z**4 + a*z**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -67223633167.252?\nAnswer: 67223633169.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*2*(13 - 10). Is s less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l - 131 - 58 + 90 = 0. Let r(d) = d**3 + 4*d - 1. Let x(a) = a**3 + a**2 + 3*a - 1. Let s(q) = -2*r(q) + 3*x(q). Determine s(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65761 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 23\/6, 3\/4, 0.3, 3 in descending order.\nAnswer: 23\/6, 3, 3\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 56 + e01?\nAnswer: e57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -410*r - 690. Let k be a(-2). Let h(c) = 0*c**2 - 2*c - 4 + 8*c + 2*c**2. Let w be h(4). Calculate the highest common factor of k and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/5 of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6016*i - 1. Let l be (-2)\/(-12) + (-5)\/(-6). Let x be k(l). Suppose 3*j = -y - x, -4*j - 12020 = 6*y - 4*y. Round y to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3901*d**2 - 7178*d**2 + d**3 - 10655*d**5 + 8*d**6 + 10653*d**5 wrt d.\nAnswer: 960*d**3 - 120*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24329 = -z - a, -z + 63*a - 59*a + 24359 = 0. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 2*w - w)*(-8 + 18 - 8)*(0 + 0 + w) as q + y*w + l*w**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189 + -179. Let n be f\/12*(10 - -20). What is n rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 - 808 = 82*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**2 + 2*x - 1. Suppose 5*g - 5 = 2*h - 33, 2*g + 16 = 2*h. Does 7 divide z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtjajzmaazaazatjj. What is prob of sequence jzm?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 - m - 1. Let b(x) = 3*x**2 - x - 1. Suppose 15*p - 14*p = 4. Determine p*b(g) - 3*n(g).\nAnswer: 3*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -401 + 401. Is c equal to -0.035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 18 = -4*t, -2*t - c + 0 = 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 4*p + 3*p + (1 + 0 + 0)*(-p - 4*p + 3*p) - 12*p - 2*p + 3*p)*(-98 - 13*p**2 + 98) in the form t + l*p + j*p**2 + h*p**3 and give h.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3\/6 - 53*u**2\/3 + 550*u\/3 + 1316\/3 = 0. What is u?\nAnswer: -2, 14, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 2\/17 (c) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -818.969686 to one decimal place.\nAnswer: -819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/h**(-14))\/h))**(-18) assuming h is positive.\nAnswer: h**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l - 14 + 14)*(-2*l**2 - 3*l**2 + 0*l**2) + (2 + 8*l**2 + 0 - 9*l**2)*(-6*l + 2*l + 2*l) to the form f*l**2 + v*l**3 + q*l + k and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7)*v*v**(-24))\/(v**(-18)*v\/(v\/v**25*v)))**(1\/28) assuming v is positive.\nAnswer: v**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514020721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.69764097*-0.4.\nAnswer: -0.279056388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -16 + 7 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*r - 2708 + 8712 = -215*r for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 10 = 7*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5436857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -49*q + 5. Let o be p(3). Let s = o + 244. What are the prime factors of s?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 8 = -4*i, -4*i + 5*m - 29 + 21 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*v**2 - 1432*v**2 - 1028*v**2 in the form n + w*v + m*v**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1960.4514 hours to days.\nAnswer: 81.685475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 - -176. Suppose 3*v = 1 + 5. Suppose -v*z = z - 12. Solve t = -3*w - n, -z*t + 3 = 5*w + 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 3*n**2 + n**2 - 5 + 2*n**2 + 5 + (-n - n + 5*n)*(4*n - 2*n + 2*n).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 39133.03 kilograms?\nAnswer: 39133030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 634413 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.0019ns to seconds.\nAnswer: 0.0000000840019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6426.06 - -6116. Let h = 315 + x. Let b = h - -0.06. Put -0.2, b, -5 in decreasing order.\nAnswer: b, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + z**2 - 5. Let k(c) = -5*c**3 - 5*c**2 + 21. Let r(i) = -9*g(i) - 2*k(i). Let x be r(0). Let 44*f - 20*f - 20*f - f**2 - x = 0. What is f?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111267.7 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) 0.041 (c) -3\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536 (base 9) in base 8?\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-3) - (-388)\/582\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllelleelll. Give prob of sequence ll.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a week in minutes?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/2, -3\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -548 times -6246?\nAnswer: 3422808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-5))\/((-5)\/10). Which is the closest to g? (a) 3 (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 461510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 12*i**4 - 25*i**4 + 12*i**4. Let h(k) = 6*k**3 + 2*k**2 - 6*k - 4. Let y(o) = h(o) - 2*u(o). Find s, given that y(s) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4698*z + 2371*z + 2324*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 5*j + 2. Let z(y) = y. Let a = 20 - 18. Suppose 3*b + a*b = 5. Determine b*q(s) + 6*z(s).\nAnswer: 2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f**2. Let a(v) be the second derivative of -v**4\/12 + 23*v**2 + 2402*v. What is a(z(g))?\nAnswer: -36*g**4 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1\/5, -14653.7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**2*j**3*l + 21326*a**2*j**3 - 5*a**2*l + 102*a*j**3 + 18*a*j*l + 2*a*l - 5*j**2 - 2*l wrt a?\nAnswer: -14*j**3*l + 42652*j**3 - 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 c when three letters picked without replacement from {v: 2, s: 9, c: 2}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, n: 1, d: 3, a: 1, p: 1, v: 2}. What is prob of sequence ns?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*x - 4, 2*h + 5*x + 4 = 7*x. Suppose 7*z - 9*z + 3*b = h, -3*z - 3*b = 0. Let v(t) = -t**3 - t**2 - t + 137. What is the units digit of v(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*p**2 - 9*p**2 + 27*p**2 + 139*p**2 - 27*p**2.\nAnswer: 296*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - i + 2*i**3 - 11 + 19)*(2 - 2 - 9*i + (0*i + 3*i - 4*i)*(0 - 2 + 1)).\nAnswer: -16*i**4 + 8*i**2 + 208*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) - (-4)\/(-14). Suppose -3*b + 0*b + 4*y - 2 = 0, w = 3*b + 2*y - 10. What is the greatest common divisor of b and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 1:52 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 65 = -9*y. Differentiate 5*k**2 + y + 58 - 129 wrt k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*u + 17 - 12 = 0, 0 = 16*h + u + 1 - 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -287 + 290. Suppose -4*y = -3*p + 5, u*p - 14 = -p - 2*y. Solve 2*f + r - p = -6, 0 = 3*f + 5*r + 22 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f**2 - f - 4. Let n be (-15)\/4 - 1\/4. Let w(k) = 11*k**2 + 4 - 3 + k + 9*k**2 - 22*k**2 - 2*k**2 + 5*k**2. Determine n*w(s) - b(s).\nAnswer: 2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2250 and 288?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 3:34 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36839\/4 + 9210. Which is the second biggest value? (a) i (b) 1\/5 (c) 6 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*r = 136*r - 6. Is (2333*1\/r)\/(2\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2. Let r(x) = x**2 + 6*x + 7. Let c be r(-5). Let a(u) = 5*u**c + u - 3*u**2 - u. Determine a(d(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 18*g + 6*w - 115, -73*g = -68*g - 3*w - 28 + 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.4 - -1.6. Let m = z - 16.7. What is the smallest value in -0.1, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007885013 to the power of 1\/3, to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1100) + sqrt(1100) + 1 - (0 + (sqrt(1100) - -2*sqrt(1100))) - 1*(sqrt(1100) + 1)*5)*3 + 0.\nAnswer: -180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-40)\/(-224))\/((-10)\/16))\/(-2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -11*t**2 + 8*t**2 - 12*t**2 + 5 + 22*t - 601*t**3 + 600*t**3. What is the units digit of j(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 + -335. Let k be -6971*(-12)\/4*b\/(-6). Suppose -k = 5*j - 155462. What is j rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(10*a**5 + 2*a**5 + 17*a**5).\nAnswer: 29*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 - (-1)\/(-1)*-1. Let x = -4 + -4. Let q be x\/5*i\/4. Solve 6 = 6*r - q*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/30015936 and 115\/22878.\nAnswer: 30015936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 266\/21)*(285\/140 - 2)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.255 - -1.255. What is the second smallest value in -0.203, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2016)*1 - sqrt(2016)) + sqrt(14))\/(4*sqrt(4)\/sqrt(2) + sqrt(2)))**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-10)\/(x\/x**13))\/(x**(-13)\/(x\/(x**(6\/13)*x))))**(-27) assuming x is positive.\nAnswer: x**(-5103\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + (-2 - -5))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 8*w = 14. Let s be (-3 - w\/2)*(0 + 20). Solve 0*x + s = -2*u + x, 0 = u + 5*x + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3\/4 (b) 1\/5 (c) -21 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*d - 72 = 0, 20*s - 22*s - 7*d + 29 = -6*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 + 389*w**2 - 189*w**2 - 200*w**2.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/11 (b) 0.2 (c) -756\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + (-10 + 0 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -5, -1, -21.\nAnswer: -21, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 17*h = -672. Let c = h + -142. Let m = -25 - c. What is the lowest common multiple of m and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 + 70 = -z - 2*y, -z + y = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.2267 rounded to the nearest integer?\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-14)*10\/6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -412, -408, -402, -394, -384, -372?\n\"Answer: h**2 + h - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000244096 to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50328?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 + -1.93. Let k = q + 0.23000026. Round k to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 129015 = 5*u, 5*u - 5*v = 6*u - 25825. What is the greatest common factor of u and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgga when four letters picked without replacement from {a: 1, g: 2, t: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 12*h + 2. Let x be p(12). Suppose -x*t - 40 = -7*t. What is the greatest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3.5. Let w = -7.5 + b. Let s = -6.999956 - w. What is s rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 84*v + 8. Let t be b(-5). What is the units digit of 11\/33 + t\/6*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (9\/(-15) - -1) + (-84)\/(-15) is divided by ((-76)\/(-57))\/(4\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*r**2 - 3249*r**2 + 3009*r**2.\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-16) - (-3 + 1740\/32). Suppose -3*x = -6*x - 138. Let h = x - v. Solve -h*c + 10*c - 10 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, and 1 m when three letters picked without replacement from ftmumtdjd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12450510 (base 6) to base 7.\nAnswer: 3331206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/9, 0.33, -2\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + 32. Let v = 1724 - 1723.7. What is the biggest value in v, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -22356*z**2 + 1162112*z + 20800 = 0. What is z?\nAnswer: -100\/5589, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t**2 + 2*t + 36. Let d be h(12). Suppose 3*n + 1221 = 3*c, d = 13*c - 9*c + 4*n. List the prime factors of c.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 15. Let g(x) = -x**3 + 9*x + 9. What is the tens digit of g(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) -0.1 (c) 505430\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.94 + 0.06. Let q = 1.3 + -1. Let p = q + -0.3. What is the closest to 1\/3 in -1, p, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850476851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 900*y**3 - 1485*y**3 + 570*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-42))\/((-2)\/(-12)))\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c - 40. Let a(z) = -z**2 - 12*z - 10. Let w be a(c). Solve i + i - w = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 14*l**2 - 24*l - 26. Does 49 divide j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -385*q - 360. Let w be u(-1). What is the greatest common factor of 3 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15857827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -48 - (-2 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**5\/8 + 39*a**4\/8 - 57*a**3\/8 - 879*a**2\/8 + 399*a - 735\/2 = 0.\nAnswer: -5, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.6 - 24. Round k to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 246. Suppose 2*g = -2, -y = -o - 2*o + 4*g. Suppose -5*j = 0, -a - 3*j = j - o. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68066\/5 + 13615. Suppose 4*x = 2*m + 11 + 5, -5*m - 15 = -5*x. Is n < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 12, w: 5}. What is prob of picking 1 w and 1 j?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14425, 56815, 127189, 225553, 351913, 506275, 688645?\n\"Answer: u**3 + 13986*u**2 + 425*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 130 - 521?\nAnswer: -3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**3\/6 + i**2\/2 - 2*i. Let d(s) = -60*s + 2. Let m be d(4). Let x = 244 + m. What is w(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40656.92 milliseconds to nanoseconds.\nAnswer: 40656920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111111000 - 2201211?\nAnswer: -121012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2398031.\nAnswer: 151, 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, -0.041, -4, 90, 5\/2 in ascending order.\nAnswer: -5, -4, -0.041, 0.1, 5\/2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 - 7\/(7\/(-3)). Let y = -7 + z. Let w(q) = -q**3 + q**2 + 10*q + 4. Let m be w(y). Sort -39, m, 0 in descending order.\nAnswer: 0, m, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 594858*5\nAnswer: 2974290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289936839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/532)\/((-4)\/24)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14982 is divided by 218.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 1:29 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 + 13 - -2) + (-2)\/(-1). Solve -y*v = 10 + 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 13) to base 4.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.1217 times -1?\nAnswer: 28.1217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 5 (b) 0.9 (c) 14396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*g - 50 + 116, 5*y - 5*g = 145. Which is the smallest value? (a) 0.5 (b) y (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7752 and 2754?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 72406?\nAnswer: 796466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*u - 25 + 40 = 0, -6 = -2*k + 2*u. Let x(p) be the second derivative of -2\/3*p**3 + k - 1\/3*p**4 + 0*p**2 - 3*p. Factor x(t).\nAnswer: -4*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**3\/3 + 18*x**2 + 6*x. Let t be c(16). Suppose -4*h = -t*o + 24, 0 = -5*h + 3*h. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 4483*w + 382785. Give i(81).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 375939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3166?\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9048203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9360315 a multiple of 711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2 - 4 + 1211*r - 1217*r + r**3 + 6*r**2. Give o(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2201, -4055, -5909, -7763, -9617?\n\"Answer: -1854*d - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (10 - (19 + -18)) + (-1 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.37 - -62.63. Let w = x + -64.06. Let m = w - -0.225. What is m rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15350422 - 7*d**2 + 15350422.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35468*w**4 + 39*w**2 - 4.\nAnswer: -851232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38637.43km to nanometers.\nAnswer: 38637430000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-10))\/(4\/(-10)). Let m = r + 4. Calculate the remainder when 25 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = -18*x - 0*x + 215. Sort -13, 2, -3, x in descending order.\nAnswer: x, 2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 76*y - 36*y - 40*y. Let x(o) = 2*o + 2. Let u(q) = q**2 + q. Let d be u(1). Let r(n) = -n + 1. Let v(w) = d*r(w) - x(w). Calculate v(z(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 - 1 = -3*u, 4*w - 2*u - 20 = 0. Suppose 4*b + w*s - 72 = 0, -5*s + 13 + 2 = 0. What is the units digit of ((-186)\/b - -4)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17645, 35276, 52907, 70538, 88169, 105800?\nAnswer: 123431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -1306 + 487. Suppose 47 = 4*l + y. Let d be (-2)\/(-3) - (-3)\/(-18). What is the closest to d in -2\/3, l, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3878425, -15513686, -34905787, -62054728, -96960509, -139623130, -190042591?\nAnswer: -248218892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9*l = 30. Suppose 2*y + 27 = l*z, 0*y - 3*y - 3 = 0. Calculate the greatest common factor of 15 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 3252915.\nAnswer: 13011660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, d: 2, p: 1}. Give prob of sequence gdgp.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h + 79. What are the prime factors of d(-7)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 119046 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 2, 1\/4.\nAnswer: 0.05, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3 (c) -0.4 (d) 839\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adiadttddtidadd. Give prob of picking 2 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2309 (base 15) in base 14?\nAnswer: -29d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2287982, 4575961, 6863940?\nAnswer: 9151919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 - 72*o + 7. Let u(q) = q**3 - 24*q + 2. Let v(g) = -7*u(g) + 2*y(g). What is the second derivative of v(t) wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17420 = -5*w - 5*d, -175*d = -4*w - 177*d + 13924. Calculate the highest common factor of w and 296.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483990 rounded to the nearest one thousand?\nAnswer: 484000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**4\/24 - h**3\/2 + 3*h**2\/2 + 4. Let w(g) be the second derivative of p(g). What is w(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/15)\/(17\/(34\/(-4))).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.44036 + 0.44087797. What is i rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.9070829 to 2 decimal places.\nAnswer: -10.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 290.07 + -293. Let y = v + -0.07. Let f be 4\/6*(-3)\/2. Put y, f, 1 in descending order.\nAnswer: 1, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 269020 = 84530. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 6*r**2 - 6*r - 4. Is y(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34706824?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 412663 - 1a2?\nAnswer: 412491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, 28, 126, 242, 382, 552, 758?\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -8187\/2656 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.08? (a) 75 (b) 2 (c) -9 (d) -1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 307*g + 2536. Give r(-8).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -737, 523, 2615, 5533, 9271?\n\"Answer: -p**3 + 422*p**2 + p - 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 n, and 1 q when three letters picked without replacement from {g: 9, n: 4, q: 3}?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -3\/2*y**2 + 4 - 3*y + 13\/3*y**3. Is c(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 0.12 (c) 18114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 12) to base 7.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -7*f**5\/60 - f**4\/8 + 15*f**2. Find the second derivative of u(v) wrt v.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31126803 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 230003 (base 4) to base 3\nAnswer: 10212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-21)*72\/12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55542693 to the power of 1\/3, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99825 and 1650.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3\/2))**(-5\/6)\/(p**(-3)\/(((((p*p**(-7))\/p)\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 + 13403277*p\/2 + 13403279.\nAnswer: -(p - 13403279)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**2\/2 - 13*m + 19. Let j be h(18). Suppose -20 + 595 = j*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 - 11?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 17*s - 4. Let g be x(2). Let a = g - 50. Is 372 - 3*(-3 + a\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 116*k**2 - 7*k - 31. Is j(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200082 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: What is 1000 (base 3) in base 4?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 13. Let a be h(-8). Solve 2*c - 9 = a*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2134 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/3233 and -95\/12932.\nAnswer: 12932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148*x**3 + 37586*x**2 + 1154921149*x wrt x?\nAnswer: 888*x + 75172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**4 - 16*d**3 + 64*d + 64 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**5 + s**4 - s**2 + 1. Let f(p) = -79*p**5 + p**4 - p**2 - 17*p + 1. Let x(n) = f(n) - m(n). What is the second derivative of x(c) wrt c?\nAnswer: -1560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 2*p**2 + 4*p - 3. Let t be h(1). Suppose -332*j + 326*j + 144 = t. Calculate the remainder when 285 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.88 + -0.12. Let p = -2752 - -2756. Which is the smallest value? (a) u (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from riiiirirri?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6724880967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**4\/24 - k**3\/6 + 6*k**2 - 352. Suppose 7 = -3*w - 8. Let o(z) = 0*z - 6 - 2*z + 6*z. What is w*t(y) + o(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15639.84 rounded to the nearest 100?\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37504 is divided by 12500.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9646.546l?\nAnswer: 9646546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 382, 398, 420, 448, 482, 522?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/12)\/(40\/(-36)) + 8\/2.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19582.\nAnswer: 2, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-3) - 2) + -3. Let m = u + 5. Suppose -p - 3*y + 4 = -22, 68 = 3*p + m*y. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*i + 23, i + 6 = 3*s - 3. Let r(g) = -2*g - 13. Let m be r(-11). Let l = m - 11. Which is the closest to -1? (a) s (b) -0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1013*o**2 + 4200*o**2 - 1178*o**2 - 1014*o**2 - 991*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27961219 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12339592399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 10*b - 171*b**2 + 179*b**2 as q*b**2 + m*b + u and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + 33\/(-9))*2\/5. What is the closest to 0 in 4, z, 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/3)\/i)**(-19))**(-2\/23)*(i\/i**(-1\/3))**(-1\/5)*(i\/(i**1\/i*i*i))**(-14) assuming i is positive.\nAnswer: i**(4928\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*((-15)\/9 - -1). Let p be 2\/1 - (-60 + 57). Suppose y*w + 33 = p*w. Solve -5*a = -1 + w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y*y**(2\/3)))\/y*y*y*y)**(-2\/7)*(y**(3\/7))**(-1\/10) assuming y is positive.\nAnswer: y**(-149\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7580167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 - (15 - (0 + 17)) - (74 + -12)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.2 and -0.35296386591.\nAnswer: 0.84703613409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 9*o**2\/2 + 58*o + 2. Is x(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-50460)\/(-40))\/(-87)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2522390 - 1?\nAnswer: 252238b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*w + 32 = 0. Let r = w - 3. Suppose r*z - 100 = 9*z. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -10*r**2 - 2*r + 45. Let m(w) = 15*w**2 + 3*w - 68. Calculate 5*m(l) + 8*y(l).\nAnswer: -5*l**2 - l + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 33483*p - 6677916.\nAnswer: 3*(p - 11357)*(p + 196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -32 + -7 + (-28 + 17 - ((4 - 20) + 4))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 786377504 and 11486?\nAnswer: 11486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 4*o**4 - 2*o**4 - 1 + 1 - 2*o**4 + 4*o - o**4 - 4*o + (-3 + 3 - 6*o**4)*(3 + 1 - 1).\nAnswer: -22*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40500 = -3*a - 2*a. Suppose 0*h - h + a = 0. Round h to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21225 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**2 + 12669*g + 4143172 = 0.\nAnswer: -319, 12988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71 or -2?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 448 = 11*h + 2*d, 0 = -2*h - 2*d + 920. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4551469, -4551475, -4551481, -4551487?\nAnswer: -4551493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*d**2*m*q**2 + d**2*m*q - 3*d**2*q**2 - 2289*m - 407*q**2 + 4 wrt m.\nAnswer: 8*d**2*q**2 + d**2*q - 2289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 179.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121*f**2 - 234 - f - 34*f**2 + 0*f - 86 - 26*f**2 wrt f.\nAnswer: 122*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.7 + 167.3. Let h = 19.2 + -172.5. Let p = h + c. Round p to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 3*o - 23, -58232*x = -58222*x - 5*o - 45 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 10*a**2 + a - 10. Let p be s(10). Suppose -4*l + 36 = -p*l. Suppose -3*o + l = -6. Calculate the remainder when 7 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 = 2*u, 4*u = -2*d. Let h be (-2)\/(-9) + (-2)\/9. Let g be -3*(0 + -1 + h). Solve 0 = -5*r + g*p - 5, 0 = -4*r - d*p + 28 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.4, -3.385 in increasing order.\nAnswer: -3.385, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55650 divided by 105?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 87 = -52 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -474159.3555 rounded to the nearest ten thousand?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 6, 3\/5, -57\/13, -59.\nAnswer: -59, -57\/13, 2\/5, 3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10793 is divided by 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.57 + 0.57000024. What is s rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236152, -233512, -230872, -228232?\nAnswer: -225592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6112 is divided by 6060.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 254.9 - 85.9. Let n = s + -172. Is n at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1212\/21 - (-6)\/21. Suppose 4*c + v = 5*c. List the prime factors of c.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/6 + f. Let g(y) be the second derivative of 0 + 0*y**2 - 5\/6*y**3 + y. Give d(g(x)).\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -28*b + 2. Calculate the smallest common multiple of (-54)\/45 - (2898\/(-45))\/7 and m(-2).\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -0.5, 0, -3\/8, 5 in ascending order.\nAnswer: -25, -0.5, -3\/8, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + 4*sqrt(130)*1 - sqrt(130) - ((sqrt(130) - 1*sqrt(130))*-4 - sqrt(130)))\/(-2*sqrt(30)\/(sqrt(3)*2)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223018 is divided by 222978?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 - 96\/(-54). Suppose 0 = -2*j + 10 - 2, m*b - j - 176 = 0. Calculate the greatest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*l - 13*l + 175. Suppose -31 = 4*b - 5*b. Let z = l + b. Let f(h) = h**3 + 4*h**2 - 1. What is f(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 809744, 809735, 809706, 809645, 809540, 809379, 809150, 808841?\n\"Answer: -2*b**3 + 2*b**2 - b + 809745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 2, y: 2}. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + -1)*(3435\/(-9) - 3). Let y = -423 + u. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*u + 21, 3*u - 2*m = -m - 9. What is the closest to 1 in -4, u, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2256945*o**2 - 1999393 wrt o?\nAnswer: -4513890*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*b - 6668 = 116. Is 16 a factor of (b\/(-10))\/(55\/(-4950))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*j + 89*j = -5*d - 10, 3*j = -4*d - 7. What is the lowest common multiple of 2 + j\/(-1*3\/282) and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/8*z - 1\/8*z**2 + 0 = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1868 times 0.66\nAnswer: -0.123288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 655939 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 815.5978 years?\nAnswer: 9787.1736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**4 - 1 + 59468*t**3 - 59463*t**3 + 3 + 2*t + 2*t**2 in the form i + s*t**3 + b*t**2 + o*t**4 + f*t and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*m)*((-1 - 1 + 0)*(0 + 0 + 1) + 5 - 2 - 1 - 4 - 6 + 0).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, h: 1, y: 6}. What is prob of picking 3 y?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.38 and -14.7.\nAnswer: -15.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1920 and 960?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 - 5*m - 2. Let p be 30\/(-5) + 11 + -8. Let i be k(p). What is the highest common divisor of i and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 3*j + 3. Let w be v(-3). Let q = -49 - -44. Let g = 1282 + -1281.98. Which is the biggest value? (a) 0 (b) g (c) q (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (-20 - ((17 - 8) + -24))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-85)\/(-20) - 111\/74.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*z + 3977, 2*f + 280 - 2924 = z. Is 31 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 - 93 + 328 - 143 - 1736*w - 2508*w)*(11 + w**2 - 11).\nAnswer: -4244*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18060 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 11*z**5 - 28*z**4 - 255*z**3 - 216*z**2 = 0.\nAnswer: -3, -1, 0, 72\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 83118 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/42160 and -13\/120.\nAnswer: 126480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**3 + 2*h**2 - 1. Let x(m) = -17*m**3 - 9*m**2 + 4. Suppose -t = -1, 0 = a + 2*a - 3*t - 3. Give a*x(z) + 9*w(z).\nAnswer: 2*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - n = 1, -5*m - 11*n + 15*n = -4. Solve -2\/5*y**4 + 0 + 0*y**3 + m*y + 2\/5*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66254016 - -6?\nAnswer: 66254025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/6*-12*26\/3. Let j = 61 + a. Let i(n) = n**3 - 7*n**2 + 24*n - 20. Is i(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2 - 20 = -2*h, 5*h - 31 = 2*v. Let u = h + 4. Calculate the lowest common multiple of 7 and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = -0*t - 2*t, -2*j = -3*t + 3. Let k(s) = -4*s - 2 + t*s + 1. Let o(d) = -6 - 4*d + 0 + 1 - 3*d. Give -6*k(y) + o(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12\/7*x**4 + 12\/7*x - 9\/7*x**3 + 12\/7*x**2 - 3\/7*x**5 + 0 = 0. What is x?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcaw when four letters picked without replacement from {w: 3, a: 5, c: 4, t: 1, k: 1}?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2991186*g**3 - 23683 + 23683 - 5982374*g**3 + 2991187*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11757750 a multiple of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**4\/2 - 3104*o**3 + 6424245*o**2 - 4434868396*o + 8856894509\/2 = 0.\nAnswer: 1, 2069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 33038104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(700)*2*-1)**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4594762 + 0.3.\nAnswer: 4594762.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13740 and 680.\nAnswer: 467160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 255383 greater than 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -394*v + 402*v. Factor -8\/5 + 16\/5*j**3 + 44\/5*j**v + 4*j.\nAnswer: 4*(j + 1)*(j + 2)*(4*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 6*f**2 - 2*f - 3. Let r be h(-4). Let d = r - 112\/3. What is the smallest value in 4, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a + 0*a + 7*a**3 - a - a**3. Let j be q(-3). Let s = j - -214. What is the greatest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 70*n**2 + 55*n - 130.\nAnswer: 5*(n - 1)*(n + 2)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**4 + g**4 - 3*g**4)*(-33*g + 20*g - 58*g + 1).\nAnswer: -71*g**5 + g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*44056 - ((-240)\/8)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 557?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -884721 divided by -11199\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*-1.051.\nAnswer: 58.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from fffafafrfufuaa.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/203)\/((-1)\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5 - -9) + -1 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -246, -528, -914, -1398, -1974, -2636?\nAnswer: -3378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:47 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13979, -111670, -376833, -893204, -1744519, -3014514, -4786925?\nAnswer: -7145488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1534 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 551 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -297831 (base 11) to base 7.\nAnswer: -3642216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 42*z - 125. Calculate m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - m + 1. Let q be t(1). What is the common denominator of -79\/4 and 11\/q*2\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.42, -0.4, -2320 in descending order.\nAnswer: -0.4, -0.42, -2320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(1 + 9 - 5)*(55 + 26*d**2 - 55).\nAnswer: 390*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Factor 11*p**2 + 133296*p - 24236.\nAnswer: (p + 12118)*(11*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from {i: 12, d: 6}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 2*t - 26, -3*t = 1140*i - 1138*i - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21415108*x - 16519691?\nAnswer: 21415108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + n + 1. Let b be 5 + -141*3\/(-9). Suppose 46*w - b*w = -6. Let g(t) = 3*t**3 - 2*t - 6. Give w*g(r) + 4*v(r).\nAnswer: -r**3 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 4*o**2 + 0*o + (-2 + 2 + o)*(5*o - 7*o + 8*o) + 5*o**2 - 2*o**2 - 2*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3095, -3091, -3085, -3077, -3067?\n\"Answer: b**2 + b - 3097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 175713 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-15))\/((154\/(-1338))\/(-7)). Let j = 38\/11 - i. Let r = 0.01 + 0.04. Sort j, 0.4, r.\nAnswer: j, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -176272.3275 to the nearest 1000.\nAnswer: -176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14126484871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 270595097*q**3 + 16115*q**2 + 46*q + 9?\nAnswer: 1623570582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -296, -307, -318, -329?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -279644875 divided by -25\nAnswer: 11185795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 0, -4*g = -6*g + 4*u + 10. Let n(r) = -r - 5. Let h(p) = -2. Let s(o) = g*h(o) - 2*n(o). Let w(a) = 7*a - a - 4*a. Calculate w(s(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from alkpw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 62. Suppose 4*l = l + m. Let v(i) = 22*i**2 - i - 1. What is the remainder when v(-1) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1 - (1 - 2) - (581 - 585). Let r = 5 + -2. Which is the third biggest value? (a) -0.19 (b) l (c) -3\/4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*w = 4, -4*h + w + 22 = 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -3, -2 in increasing order.\nAnswer: -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29496, 118281, 266256, 473421, 739776, 1065321?\nAnswer: 1450056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvb when three letters picked without replacement from {v: 3, b: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -9*b + 17 - 56 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*h + 24 = -106*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 54227562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.22 (b) 148 (c) -2\/5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.023*0.143.\nAnswer: 3.292289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/7 or 3?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/8 and 93\/32320.\nAnswer: 32320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9674.288 milligrams?\nAnswer: 9674288000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10311266 (base 9) to base 12\nAnswer: 17b6950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*k + 6*k - 2*k + 2*k**4 wrt k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*q = -1988, 0 = -5*q - 14 + 34. Suppose j = 4*b + 5*b. What is the lowest common multiple of 7 and b?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03778 to three decimal places.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12029324 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18475, 18464, 18453?\n\"Answer: -11*i + 18486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560.9268 - 0.1.\nAnswer: -561.0268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-74)\/(-518))\/((-1)\/(-98)))\/(-2*5\/40)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -15*8\/320 + 19\/8. Let q(m) be the second derivative of 1\/2*m**3 + 9\/10*m**5 - m**4 + 1\/14*m**7 - 4*m + 0 + 0*m**n - 2\/5*m**6. Factor q(t).\nAnswer: 3*t*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = 8. Let o = 7 + b. Suppose -5*m + 10 = -g, 4*g = -2*m + o*m - 8. Solve a - 4*w = m*a - 24, 5*w - 37 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/47934527 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 21433*r**2 - 25 - 20 - 1.\nAnswer: -21433*r**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1197, 3250, 6165, 9954, 14629, 20202?\nAnswer: 26685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (88\/(-66))\/(1\/(-48)). Calculate the greatest common divisor of 224 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*k**2 - 50*k**2 - 48*k**2 - 43*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88*i**4 - 42*i**3 + 3*i**2 + 21*i - 12861.\nAnswer: -1056*i**2 - 252*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*t + t**4 + 7*t + t**4 + 2*t**3 - t**3 to n + j*t**3 + u*t**4 + f*t + v*t**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 177578 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26331 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 32*h + 15. Let f be w(-3). Let c = -90 - f. What is the tens digit of 3\/(c\/12)*-37 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -34 - (2578 + -2447)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 less than -2067\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/342 (b) -2\/9 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/2 (b) 5\/7 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 1. Determine l(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q + 5. Let o be m(-1). Suppose 0 = 6*r - 2*r - o*r. Solve -y + i = -r*i + 3, 0 = -5*y + 2*i - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1952\/26 + (-13087 - -13013)\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 369215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 16401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2656201 (base 7) in base 16?\nAnswer: -5585e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + 0 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 62, -1, -111757, 3, 1 in ascending order.\nAnswer: -111757, -4, -1, 1, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s = -1239 - 471. Suppose s*n = 2971 - 136. Calculate the lowest common multiple of n and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1605 + 1608. Solve c*u = d + 19, -5*d + 6 = 5*u + 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91108237111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -89372 (b) 2\/5 (c) -0.2 (d) 2\/1221 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36253 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4327 and 1185961468.\nAnswer: 4327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 6*y + 2. Let h(z) be the third derivative of -z**4\/12 - 3*z**3\/2 + 2*z**2. Let i be h(-9). Let l = i - 4. Give a(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b25b (base 12) in base 11?\nAnswer: 13607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(-13)\/(b\/(b*b**2*b*b*b)*b*(b*(b\/(b*b**(-4\/7)))\/b)\/b))**46 assuming b is positive.\nAnswer: b**(1426\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262, 258, 252, 244, 234, 222, 208?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(2299)*1)**2.\nAnswer: 9194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -13*c**2 + 2*c - 79. Let o(y) = -11*y**2 + 3*y - 79. Determine -3*j(b) + 2*o(b).\nAnswer: 17*b**2 + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -22*m**3 + 2*m**2 - m + 5. Let g be i(2). Let q = -123 - g. Calculate the highest common divisor of q and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hph when three letters picked without replacement from hphhhhhhhphhhhhhph.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 2. Let f(z) = 4*z + 43. Calculate the remainder when f(-9) is divided by y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29635523?\nAnswer: 23, 59, 21839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 147, 547, 1131, 1827, 2563, 3267?\n\"Answer: -12*u**3 + 164*u**2 - 8*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-350))\/((-3)\/(-126))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(0*c + 0*c - 2*c + (c + 3 - 3)*(5 - 3 - 4) - c + 3*c - 3*c + c + 2*c - 4*c)*(-4 + 3 + 5)*(-6 + 4 - 4)*(3*c - 3*c + 2*c).\nAnswer: 288*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/2 of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2 + 5*h - 9. Suppose 3*p = -5 + 17. Let x(z) = 11*z**2 + 11*z - 17. Let l(r) = p*x(r) - 9*q(r). Determine l(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/2, -7, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41675?\nAnswer: 5, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64060207 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((168\/(-189))\/((-20)\/810))\/((-3)\/2)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4592 + 5971. Is s a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8))**36 assuming t is positive.\nAnswer: t**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-1)\/12)\/1*20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3568 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 22. What is the closest to a in 0.4, -0.2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 310 = -5*p, -6*p + 5*b + 178 = -3*p. Suppose 5*g + 249 = 4*d, d - 58 = -g - 2*g. Suppose d*c + 330 = p*c. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4414627 and 448329?\nAnswer: 4039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 3. Let c be i(-3). Let q be ((-51)\/(-68))\/(1\/8). Suppose c = -q*k + 5*k + 21. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4802495099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (187*k - 3 - 36*k - 340*k)*(-3 + 2 - 1)*(-5*k + 4*k - k).\nAnswer: -756*k**2 - 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 41*p**3 + 0*p**2 - 4*p + 0*p**2.\nAnswer: -41*p**3 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(66)*1*-1)\/((sqrt(150) - (sqrt(150) + (sqrt(150)*1 - sqrt(150)) + sqrt(150)))*4 + sqrt(150)).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -61382, -122763, -184148, -245537, -306930, -368327, -429728?\n\"Answer: -2*d**2 - 61375*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3862820 and 6723.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -666975 divided by 133395\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -7\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1138 - 841*u - 568 - 570.\nAnswer: -841*u","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-30))\/(28\/3*57\/190)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + -1 - sqrt(17)) + sqrt(17))**2 + (sqrt(2057) - (sqrt(2057) + 0)).\nAnswer: -8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58748414 to the power of 1\/3, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 64688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.575 - 9251581.\nAnswer: -9251578.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6. Let f = 260 + -254. Let b(s) = -s**2 + 33. Determine f*b(y) + 33*k(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -803352 divided by 803352?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*v**3 - 1583*v**2 + 1593072?\nAnswer: -156*v**2 - 3166*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 909620 divided by 181924\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (1 - (10 - -2))*(-10 - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17618, -2\/3, 5 in ascending order.\nAnswer: -17618, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.2 - 6.2. Which is the biggest value? (a) -4 (b) z (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43549135 is divided by 4838789.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-2))\/(12\/(-168)) and 127\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/8)\/g**(-1\/6))\/(g\/(g*g**1))**(-1\/24) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 17646*k**2 + 3*k - 3. Let m be r(-3). Suppose 5*p = -2*i - m, p - 4*i - 15412 = -47168. Is ((-2)\/(-5))\/((-16)\/p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -1222?\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 18*n - 161. Calculate the remainder when 149 is divided by u(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1945 and -0.101.\nAnswer: 196.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 8\/5*i**3 - 3 + 1\/2*i**4 + 1\/25*i**5 + 11\/5*i**2 + 7\/5*i. Determine a, given that q(a) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-25 + 23 + (0 - 3))) + (-79 - -142).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 2\/7 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 8. Let k(m) = 3*m + 8. Determine 4*k(j) + 3*s(j).\nAnswer: 6*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14449*t**3 - 28837*t**2 wrt t?\nAnswer: -86694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 113466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 + 9*h. Let r be j(3). Suppose v + r = -4*g, 0*g = 5*g - 4*v + 27. Let l be 2\/(-5)*30\/18*g. Solve 2*p = 2*y - 5*y + 1, -l*p - 8 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -86304, -86301, -86296, -86289, -86280?\n\"Answer: d**2 - 86305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23750, -23760, -23774, -23792, -23814, -23840, -23870?\nAnswer: -23904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffffqq.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3295534 or -3295449?\nAnswer: -3295534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from vsuysuvssvsuvsuusys?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 x, and 1 e when four letters picked without replacement from {x: 1, c: 3, e: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 4\/8)*(-7 - -5). Let b be (3\/(3*-2))\/(l\/8). Does 17 divide (-34)\/b*(6 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:40 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16525100?\nAnswer: 2, 5, 257, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -929273\/399 + 2329. Which is the smallest value? (a) 0.1 (b) -5 (c) -1.8 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2406 or 67.7?\nAnswer: -2406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 13120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7404889 divided by 29?\nAnswer: 255341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((10\/(-8) - (-441)\/364) + 0). Solve 0 = -v*w - 265 + 109 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1695*h + 760866. What is f(449)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Put 0.5, 2\/15, 0.09, -542 in descending order.\nAnswer: 0.5, 2\/15, 0.09, -542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3*(2 + 4). Let r(v) = v**2 - 5*v - 1. Let f be r(y). Let w(s) = -s**3 - 6*s**2 - 5*s + 7. Give w(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3226397595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (408\/1496)\/((-729)\/198)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2867238.\nAnswer: 2, 3, 11, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 - 19165*c + 1029790 = 0. What is c?\nAnswer: -3886, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + i + 1. Let n be y(-1). Let u be -1*(2 + -1 - n). Let c = 3 + u. Calculate the remainder when 7 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4547333940.\nAnswer: 2, 3, 5, 109, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (139 - 126 - (5 - 0))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 1320 = 102*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**3 + z**2 + 4*z**3 + 6*z**2 + z**4 + z + 8 - 2*z**3 wrt z?\nAnswer: 12*z**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 34 + 10 = 0. Let p(k) = 2*k**y + 1646 - 1646. Let t(h) = 32*h. What is t(p(x))?\nAnswer: 64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 44*c + 15. Let g be z(-22). Suppose 5*w = 5*d - g, -9 = d + 5*w - 0*w. Let k(y) = 3*y - 2. What is k(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*d, -7*k + 9*k = 5*k + 5*d + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -5*t - 105. Suppose -11 = -5*k + 4*x, 2*x + 5 - 19 = -4*k. Solve 0 = t*q - k, -2*u - 14 = u - 5*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = -122 + 52. Solve -11*j + 24 = -d*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -21449?\nAnswer: -21445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -5 - -2 - (23 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (0 + 9\/(-3)). Suppose -3*c - z = 0, b - 5*c - 10 = -3*c. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-35)*(-105)\/(-252)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 162947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 91d82 (base 16) to base 6\nAnswer: 20445350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 - 86*r - 294. Give q(-15).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + (sqrt(208)*-1)**2 + -4*(1*(1 + sqrt(13)) - sqrt(143)\/(sqrt(44)\/sqrt(4))))*2 + -2.\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71.5 - 72. Which is the nearest to 2\/7? (a) i (b) -5 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34 or -23.215?\nAnswer: -23.215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -200232?\nAnswer: -200223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i + 10 - 10 = 0. Let q(v) be the second derivative of 1\/2*v**3 + 1\/6*v**4 - v**2 + i - 5*v. Determine q(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/3 - 118*m**3\/3 + 228*m**2 - 4*m - 373. Let q(t) = 0. What is t?\nAnswer: 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -27. Which is the biggest value? (a) h (b) 5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggooogovggggvgogo. Give prob of sequence og.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-12)*(-14)\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*x - 0*v - 4, 0 = -3*x + v + 11. Suppose -x = -2*u + 1. Put -1, 3, u in descending order.\nAnswer: 3, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -975 + -78.\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(2\/(-2)*2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*z - d + 3381, 5*z = 3*d + 3397. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 1. Let b be w(8). Let c be b*(-2 + 21\/15). Calculate the greatest common divisor of c and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.74375 millimeters in nanometers?\nAnswer: 79743750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkckwkkkkkkwwkkkkk. Give prob of sequence cw.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*g - 6281 + 6270 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/5)*(g*g**(-9))\/g)**(-49)\/(((g*((g\/((g\/(g**(-1\/5)*g))\/g)*g*g)\/g*g)\/g)\/g**(-1\/6))\/(g*g\/g**(1\/4))**(-23)) assuming g is positive.\nAnswer: g**(25571\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/14 - (49\/(-7) + 11). Suppose j = 4*z - 9, -6 + 14 = 4*z. Is r < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 53. Let v be (-3)\/g + (-116)\/10. Let k(j) = j. What is k(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 9:29 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1201111212020 (base 3) to base 15\nAnswer: 1313ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*w + 0)*(w**2 - w**2 - 3*w**2)*(-88 + 150 - 82) in the form o*w + u*w**2 + h + r*w**3 and give r.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1071*a**2*n**2 + 3*a**2*n + 41*a**2 wrt n?\nAnswer: 2142*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4 + 240*g**3 + 1452*g**2 - 1696*g = 0.\nAnswer: -53, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-180)*-6*5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/8*6*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*c - c = 108, 4*o - 216 = 3*c. Let u = o + -14. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 6. Let g be z(5). Let h be 1\/(1\/1) + g. Suppose a + 2*a - 237 = h. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110*s**5 + 13*s**3 - 104*s**5 - 60*s + 7*s**3 wrt s.\nAnswer: 120*s**3 + 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 3*s**4\/4 + 16*s**2. Let j(w) = 2*w**2. What is j(r(u))?\nAnswer: 648*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5748395 times 0.08?\nAnswer: 459871.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 135164 (base 7) to base 3\nAnswer: 1022102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -6)\/(-16) - 3\/(-4). Let o be h\/4 + (-24970)\/(-88). Suppose 79 - o = -i + 3*r, i - 5*r - 199 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50780*h*t*x - h*x + 17*h + 382*t*x - 735*x with respect to h.\nAnswer: -50780*t*x - x + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*d - b, -4 = 4*d - 28*b + 24*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2\/7 (c) 104 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79458*k + 79469*k - 352 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*3)\/sqrt(5) - sqrt(18))\/(sqrt(72)\/sqrt(8)*-4).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.6181653 to 1 decimal place.\nAnswer: 40.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 7*s - 34. Calculate v(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -27. Suppose 0 = 2*d, i = -2*g + 4*d + 22 + 26. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(2*sqrt(208) - sqrt(208)).\nAnswer: 4 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**4 + 17*h**2 - 12*h + 127916.\nAnswer: 12*h**3 + 34*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471768.1ml to litres.\nAnswer: 471.7681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 210 + -214. Which is the closest to 2? (a) w (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2718*y + 64428 = -4386*y - 38988 for y.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187 + -188. Let l = 4 - -2. Let j = -12 + l. Are t and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 93 + 19 = 0. Suppose 83 = 5*l - 3*g, -5*l - j*g + 76 = -10*g. Solve -2*n - l = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwkqfwuqk. What is prob of picking 1 w and 1 f?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-56))\/(4\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.5 - 3.395. Let y = o - -11.195. What is y rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m - 2*m**4 + m**3 - 40*m + 4*m**2 + 39*m in the form h*m**4 + d + n*m**3 + t*m + j*m**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + sqrt(1872)*-1 + (sqrt(1872) + sqrt(1872)*2 + sqrt(1872))*-3 - (-1*sqrt(1872)*2 + sqrt(1872))*-5))**2.\nAnswer: 1728*sqrt(13) + 606544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1100) + -1*(sqrt(1100) + 1) - sqrt(1100) - ((sqrt(1100) - -1*sqrt(1100))*-5)**2) + -1.\nAnswer: -110004 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 172*u - 340. Let f be i(-170). Solve 4*s + 16 = f, -4*p + 0*p + 3*s = -16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49 - -76) + (4 - (16 + -2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from {s: 3, i: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117433.\nAnswer: 43, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 45. Let p(h) = -h - 1. Let b be p(-5). Let v = 289 - 293. Sort b, -3, m, v in descending order.\nAnswer: b, -3, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 74*c**2 - 8. Let n be z(-2). Let o = -141 + 173. Calculate the highest common factor of n and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d. Suppose r - 6 - 4 = d. Let p be 0\/(-1) - (7 - r). Solve -p*v = 2*s + 19, v = -0*v - 5*s - 28 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/((-5)\/75*9)*(-13)\/1040\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2331*w + 2127*w - 4207*w.\nAnswer: 251*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -160274 greater than -160272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5*-98947\nAnswer: 494735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 164928436 rounded to the nearest 10000?\nAnswer: 164930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1126, 15 in decreasing order.\nAnswer: 1126, 15, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1051231 centuries to years.\nAnswer: 10.51231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 14) in base 6?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = h - 56 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 49. Suppose n*b - 5*y + 1748 = 0, b + y + 0*y = -446. Let w = 658 + b. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one sixths of a year?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*p + 5 - 37*p - 19*p.\nAnswer: -17*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4\/5 + 2*b**3\/5 + 11*b**2\/5 - 12*b\/5 = 0.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 22\/(-21))*(237 + -246)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8137763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 3. Let x be k(3). Suppose 3*q + h = 12, -4*q - 5*h + 5 = -x*q. Solve t - 3*i = -q*i + 5, -2*t - 2 = -2*i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8516 - -0.1026. What is a rounded to 2 dps?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11051403 (base 10) to base 5.\nAnswer: 10312121103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 + -0.9. What is the smallest value in -0.4, 1, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-107 - -128)*4\/(-7)*(-5906)\/(-3). What is x rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4488a1 (base 13) to base 14.\nAnswer: 301b75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/5)\/((-10)\/50). Suppose h - 8 = -t*h. Let u(c) = -7*c + 1. Calculate u(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 51*h + 165. What is x(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*x + 7 = 0, -4*x = 3*b + 64 - 13. Let j = 13 + b. Suppose h - k + j*k + 3 = 0, -k + 9 = 2*h. Solve 5*i = o - h*o + 11, 5*o = -2*i - 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 2. Let x = g - -16. Let i(j) = -j**3 - 5*j**2 - 6*j. What is the lowest common multiple of 1 and i(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x + 81. Let p be j(0). Suppose 103*a - 104*a + 3 = 3*n, 0 = -3*a - 3*n + 21. Calculate the highest common divisor of p and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2)*-1 + 2)) + -3.\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 4) to base 3.\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1217.8 - 2.\nAnswer: -1219.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r + 46 = 4*j, 0 = -2*j - r + 24. Suppose j*k = 17*k + 60. Is k smaller than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 413 (b) -71 (c) 2\/9 (d) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 4*b + 4*b**2)*(11 - 10*b - 11) as c*b + o*b**3 + i + y*b**2 and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208, 4, 1, -2, -1612 in ascending order.\nAnswer: -1612, -208, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 305, -20, -3 in decreasing order.\nAnswer: 305, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72*o**3*y**2 + o**3*z + 34*o**2*y - o**2 - 3*y**2*z + 2*y*z wrt y?\nAnswer: 144*o**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + s**2 - s + 8. Let y be f(0). Suppose -33 + 24 = -3*g. Solve g*p - y = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45285.62kg to tonnes.\nAnswer: 45.28562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -40.08. Let s = r - 0.62. Let z = s - -0.3. What is the third smallest value in z, 0, -2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499*r + 31287 = -3*w + 496*r, 3*w = -5*r - 31279. Is -10433 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - 2*sqrt(91) - sqrt(91))\/sqrt(7)*1 - sqrt(156)\/(-2*sqrt(192)))**2.\nAnswer: 2925\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(0 + 0 - s) - 4*s + 0*s + 2*s + 105 - 173 + 3*s + 81.\nAnswer: 2*s + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.97 + -0.03. Let y be (-15)\/(6\/(-3)*-2). Let g = -9\/4 - y. What is the third biggest value in 0.4, g, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 908534816 to the nearest integer?\nAnswer: 30142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -49140, -98279, -147418, -196557, -245696, -294835?\n\"Answer: -49139*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1424?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + -2 - (6 - 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -125. Suppose -5*y + 22 = 2*a - 166, 5*a - y = 443. Suppose -x = -3*t + a. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -7 + 13 + -35 + 27\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-393)\/27 + 13)*-9. What is the nearest to -3 in -2, -3, k, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 199*j**2 + 4*j - 8. Let r(z) = -97909*z**2 - 1970*z + 3940. Let c(x) = -2*r(x) - 985*s(x). Let y(g) = g**2. Calculate y(c(h)).\nAnswer: 38809*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 + 3527*p - 149361. Determine r(44).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6640 = -23*x + 54*x + 27*x + 784 for x.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(2299)*-4*-1 + 2 + sqrt(2299) + 3 + -5 + -5))**2.\nAnswer: -3080*sqrt(19) + 230096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84603 - 18*f**3 - 84603 + 14*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -1 (b) 2 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 41. Let r be c(0). Let o = r + 62. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*f = -2*h + 4, 4*f = 16. Find the common denominator of (h\/(-16))\/((-10)\/(-388)) and 47\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ffimsosooofffmoomf.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*z - 62*z + 5362. Suppose -11*c = 2029 - z. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuqqrqurrqqd. What is prob of sequence qqr?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(300))**2 + sqrt(9)\/(sqrt(12)\/sqrt(4)).\nAnswer: sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.02 - -0.02. Let x = -2.9 - u. What is the nearest to x in -4\/7, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 393618 and 153.\nAnswer: 1180854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2883 and 74803.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 15324?\nAnswer: 168564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47748*o**2 - 13637*o - 2?\nAnswer: 95496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a = 2*u - 8, -2*u + 8 = -a. Differentiate 4*y - 20 + 37 + a*y + 2*y with respect to y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 5:48 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 35?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - ((7 - 2) + 5). Let w be (32\/12)\/b*-9. Solve j - w = -1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 305959 and 146770?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 2. Let x(f) = 0 + 27*f - 1 - 31*f + 4. Give -5*r(j) + 4*x(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.339 + 0.539. Sort 2\/11, -2\/5, -3, g in descending order.\nAnswer: g, 2\/11, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2\/3, 5, -0.06, 2\/9?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -9, -27, -55, -93, -141, -199?\n\"Answer: -5*i**2 + 7*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-12))\/((-1)\/6). Let u(v) = 2 + 7*v - 10*v**2 + 6 - n*v - 4 + v**3. What is the tens digit of u(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 - -4332310?\nAnswer: 4332309.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 4, 51.2, -114?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -8.1. Let c = w - -13. What is the smallest value in 4, -1\/7, c?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) - 2\/3. Let j(p) = 51*p**2 + 2*p + 2. Let n be j(d). What is the highest common factor of n and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -83 (b) -7 (c) 1\/2 (d) 1.1 (e) -2\/181 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 6*a**2 + 13*a - 42. Let l be m(6). Differentiate l + 775*i**2 - 872*i**2 + 15 with respect to i.\nAnswer: -194*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 67, 357, 1075, 2413, 4563, 7717, 12067, 17805?\n\"Answer: 32*n**3 + 22*n**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 49\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 48400*d**2 + 869665*d - 821270.\nAnswer: 5*(d - 9662)*(d - 17)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-1))\/(((-5)\/(-1))\/(-5)). Suppose w = 5*q + f - 105, -4*q = f - 34 - 51. Solve 0 = -z + 4, -y - 3*y + q = z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + 7*v**2 - 10*v + 8. Give m(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31353, 62704, 94051, 125394?\nAnswer: 156733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4941856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 106*n - 2. Let q be 3\/2*(4 + 10\/(-15)). Let s(u) = 3*u - u + 4*u - 5*u - q*u. What is h(s(w))?\nAnswer: -424*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/1141751 and -62\/530673?\nAnswer: 37677783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -66*n - 66. Let b(s) = -36*s**2 + 5*s + 2. Let o be b(-2). Let m = 150 + o. Let w(t) = -5*t - 5. What is m*v(p) + 27*w(p)?\nAnswer: -3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*j**3 - 24 + 0*j**2 + j**3 + 5*j**3 - 14*j**3 + j**2 wrt j.\nAnswer: -57*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.263 * 8\nAnswer: 106.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -53474?\nAnswer: 53477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3991349\/100 + 39913. What is the common denominator of u and 23\/40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**5\/4 + 37*i**4\/4 + 35*i**3\/4 - 37*i**2\/4 - 9*i = 0?\nAnswer: -36, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = 12*m - 15*m. Let q be (-140)\/(-18) - 0 - (-14)\/m. Solve 6*j = q*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/9*183\/(-305). Let p = 2 - 0. Solve z*y**3 + 7\/3*y - 7\/3*y**p - 2\/3 = 0 for y.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 3*r + 9. Give u(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 60. Let z be 21\/(-4) - (-6)\/y. Let q = -18 - -94\/5. Sort q, z, -3.\nAnswer: z, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -2, 0.09 in ascending order.\nAnswer: -3, -2, 0.09, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85509942 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 8:26 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-18))\/2*36. Solve -h*z = -21*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 176 + -260. Let f = p - -69. What are the prime factors of (-3)\/(((-5)\/f)\/((-22)\/6))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2192 - -1085. What are the prime factors of o\/9*(-6 - (-2 + 0))?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + 5 - sqrt(50)\/(sqrt(50)\/sqrt(5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 491287225*c**4\/3 + 163821515*c**3 - 982397114*c**2\/3 - 118208*c - 32\/3 = 0.\nAnswer: -2, -4\/22165, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 + 2305*x - 2305*x.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*l**3 - 3*l**2 - 2*l + 3*l**2 + 140*l**3 to the form t + w*l**3 + z*l**2 + c*l and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 27*l**2 - l - 43. Determine f(-3).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqq. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7859392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b + u = -8 - 11, -61331*b + 61334*b + 5*u - 32 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 775492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -114*i**2 + 3*i + 7. Let z(c) = 172*c**2 - 5*c - 10. Determine -7*f(u) - 5*z(u).\nAnswer: -62*u**2 + 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*b + 8*b, -4*n - 8 = 2*b - b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Sort l, 1\/7, 4 in increasing order.\nAnswer: 1\/7, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 10*s + 23. What is m(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958 is divided by 109?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 15.57446 centuries?\nAnswer: 1.557446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -24.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 28*i - 5. Let s be d(-14). What are the prime factors of 1611\/15 - (-2)\/s?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.43 or -23597?\nAnswer: -23597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 31*h = 580 + 1820. Calculate the remainder when 145 is divided by h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213*y**2 - 600*y + 2.\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.281237 and -1.\nAnswer: -5.281237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/8, 244, -3, -4, 2\/23?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26\/3 - 76\/9. Determine z, given that -c + 0*z + 2\/3*z**2 - 4\/9*z**3 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5\/4)*y**(-2))\/((y\/y**(-6))\/y*(y*y**(-2\/13))\/y*y))\/(y**(-3)\/y**4*((y*y**(-2\/3)\/y)\/y)**(-5\/3)) assuming y is positive.\nAnswer: y**(-2749\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*u - 9*u. Let l be u\/14 - (-3)\/(-21). Let g = l + 5. Solve m - 15 = g*m, o - 4*m - 24 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 804 + -7514?\nAnswer: -6810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w + 8*w + w**2 - 4. Let p be k(-3). Solve 0 = -p*y - 4*h + 16, 5*h - 13 = -4*y + 2*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7d + 9?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let u = 7 + -7. Let y(j) = -4*j + 2*j + u*j + j. Calculate y(v(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*g + 16 = -4*g, 5*p + 23 = -2*g. Sort -2, -78, 5, p.\nAnswer: -78, p, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774*x - 62006741 + 62006741.\nAnswer: 774*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 8*l - 13. Let y be i(10). Suppose -y = f - 13. Solve -f*x + 3*x - 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 - q**2 - 12*q + 197. Is i(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/8 - 29*g\/2 - 841\/2.\nAnswer: -(g + 58)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -24. Let j = -139.78 + 140.08. What is the second smallest value in j, -0.6, l, 10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002690047 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*k - 29, g = k + 3*g - 15. Let i = 61 - -16. What is the greatest common factor of i and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -481. What is d rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 34*q**2 + 2760*q - 89563. What is p(33)?\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16b8 + -108265?\nAnswer: -106769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + (4 - -1) + (-69 - -87)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 10*t + 14. Let j be o(-11). Suppose 3*q - 12 = 3*f, -16*q + 15*q + 4*f + 1 = 0. Sort j, -2, 0, q.\nAnswer: -2, 0, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1\/6, 3\/275 in ascending order.\nAnswer: 3\/275, 1\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -6\/5, -2, 0, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -n - 77, 5*d - 1746055 = -3*n - 1746006 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8*n**2 + 80*n + 4. Determine i(-12).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 + 31 - 19) + -4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253223 divided by -180.\nAnswer: -253223\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 12:03 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(2 - 5\/4). Let s be 138\/(-9)*36\/o. Let f = s - -345. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -973 > -6967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 1)*(-3*y - 2*y + 0*y)*(0*y**2 + 2*y**2 - y**2) - 3*y**3 - 2*y**2 - 2*y**3 + 3 - 4.\nAnswer: -40*y**3 - 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 210 + -1892\/9. Suppose 6*m - 65 = m. Let q be (8\/(-12))\/(m\/3). Which is the biggest value? (a) h (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603077.9 litres to millilitres.\nAnswer: 603077900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126023 is divided by 3217.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 - 2*k + 146. Suppose -y = -11*y - 840. Let u = 84 + y. List the prime factors of d(u).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e0 (base 16) in base 2?\nAnswer: 1011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -12 + (6 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -139\/6. What is the third smallest value in t, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 395033\/70 - 33817\/6. Let h = d + -52\/7. Suppose -z + 2 = -5*t, 2*t + 0 = 3*z - 6. Which is bigger: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o**2 + o - 9. Is h(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7552.0723 - -7554. Let m = -0.0723 - h. Let j = -0.2 - -0.1. What is the second smallest value in m, j, 28?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*f + 28 + 108, 4*f = 4*n - 136. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - -1*(0 + 0). Let g = 70 + -65. Factor -q**2 - q**z + g + 7 + 5*q - 4*q - 11.\nAnswer: -(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. What is the tens digit of f + 65 + 4 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -3, 4.\nAnswer: -3, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11893, 46321, 103299, 182833, 284929, 409593?\n\"Answer: j**3 + 11269*j**2 + 614*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -825, -1818, -2797, -3756, -4689, -5590, -6453?\n\"Answer: r**3 + r**2 - 1003*r + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7324 + 0.78. Let k = h - -20.8524. What is k rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from ntne.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21231 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.33, 0.02, 1.8, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8297984?\nAnswer: 2, 19, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 84. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -88*i - 1169. Determine o(-15).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((-49)\/((-637)\/52))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-6))\/((-9)\/(-46701)). Suppose -2*r = -12604 - 9094. Let n = r + l. Round n to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 7:39 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24361.\nAnswer: 17, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28167.3827 rounded to the nearest 100?\nAnswer: 28200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94.527 - 94.6. What is the third smallest value in -0.2, -0.4, q, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -262906 - -4?\nAnswer: -262902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/1162 and 109\/13750?\nAnswer: 7988750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23145 + 63965 = 2415*s - 70270 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 9. Suppose -t*g = -0*g - 12. Solve -2 + g = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-2 - -4)\/2. Let l be -2 + 7 + 2095\/13. Let f = l - 166. What is the third smallest value in k, 4, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -15. Let s = 31 + 9. Calculate the greatest common factor of s and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 2. Let x be (12\/(-30))\/(1\/v). Does 3 divide 30\/9*(-3)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-5)\/(18 - 3). Which is the smallest value? (a) -0.3 (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375249888 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -297*r - 2. Suppose 5 - 9 = 2*d. Let c be a(d). Let h = c - 405. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.14 (b) 6 (c) 50 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 177946958 divided by -406?\nAnswer: -438293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 4*g**2 - g. Let w be n(5). Suppose 0 = 4*d - 2*r - 2 + 14, 0 = -5*d + 2*r - 16. Let x be 3\/d - (-552)\/96. Solve 0*a - w = x*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**34)**(2\/13))**(-22) assuming x is positive.\nAnswer: x**(-1540\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 16) to base 14.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1092 and 7039004?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 7*u + 7. Let f be z(-9). Let k = -8 - f. Calculate the highest common divisor of 12 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -1 + -2)*0. Suppose g = -5*p - 5*y + 50, -2*p = -6*y + 2*y + 4. Solve p*b = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -737 (base 10) to base 7.\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7340239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 11. What is the greatest common divisor of 10 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(7\/8)\/h)**(-21\/5))**(-33) assuming h is positive.\nAnswer: h**(-693\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 22 + 505*n**3 - 2*n**2 - 3*n - 502*n**3. Is o(5) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/4, 1, -3306\/47?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = 2*o, 0 = -3*p - p - 5*o + 32. Suppose -9 = 3*q + p*c, 16 + 14 = 5*q - 4*c. Solve -q - 3 = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -13, -1, -8, 10.\nAnswer: -21, -13, -8, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2\/6 + 1224*u = 0.\nAnswer: -7344, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21981695941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 3*p**4 + 9*p**3 + 34. What is the third derivative of m(n) wrt n?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 20 + 2. Let a = -61 + 67. Let v(q) = 3*q**2 - 8*q**3 - a*q + 5*q**3 - u + 4*q**3. Give v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**5 + 16*b**3 - 8*b**2 - 12*b + 8.\nAnswer: -4*(b - 1)**3*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4\/7, 0, -0.3, 0.1, 26.\nAnswer: -4\/7, -0.3, 0, 0.1, 2\/9, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 3:36 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.2082689 to one decimal place.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10 + (-420)\/(-75) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-13))\/(-17)*-2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.19029, -134, 0.\nAnswer: -134, -0.4, -0.19029, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/7 - 54*d**2\/7 - 48*d\/7 + 104\/7.\nAnswer: -2*(d - 1)*(d + 2)*(d + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070 < 9626\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**6\/40 - 2*m**5\/15 + m**4\/8 + m**3\/3 - 6*m**2 + 2*m. Determine y so that d(y) = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 4*a - 2*a + 2*a**3 + (-5*a**3 - 10*a**3 + 5*a**3)*(2 - 7 + 4).\nAnswer: 12*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142335 divided by 47445.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55808516?\nAnswer: 2, 3217, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8111863 is divided by 75.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 442188709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.6535052 - 150.\nAnswer: -162.6535052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -56216 (base 13) to base 5\nAnswer: -20000334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -3\/8 (c) 4\/193 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*16\/12*(-9851 + 92).\nAnswer: 2, 3, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 - 6*m**2 + m - 1. Let c be w(-3). Suppose r + 0*r - 442 = 0. Does 5 divide (6\/c)\/((-51)\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1083\/2 + 1\/2*z**3 + 35\/2*z**2 + 247\/2*z.\nAnswer: (z - 3)*(z + 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f + 5056 = 3316 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9241 + 9241 - 2745*k**2 as a*k + v*k**2 + g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35\/2 - -18. Let i(u) = -u**3 + 49*u**2 + 2*u - 102. Let r be i(49). Put 2\/3, n, r, -5 in increasing order.\nAnswer: -5, r, n, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**4\/3 - d**3\/2 + d - 4. Let k(m) be the first derivative of r(m). Find the second derivative of k(t) wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(6\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/1*4. Suppose 7*a + a**4 + 2*a**4 + m*a**2 - a**4 - 4 - a - 6*a**3 = 0. What is a?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let n be 0\/3 + 29 + -3. Suppose 0*q + 3*b + 1 = 2*q, -2*b = 4*q - n. What is the remainder when q is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110011010010 (base 2) to base 7\nAnswer: 12366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2338, -2510, -2888, -3472?\n\"Answer: -103*p**2 + 137*p - 2372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -136260039706 - -949291771409\/7. Let s = i + 101583458894525\/157024. Let n = s - -19\/1402. Find the common denominator of -7\/12 and n.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7084 - -13131. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 2 - 11) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 20 = -8. Let b(c) = -c**3 - 15*c**2 + 36*c + 41. Calculate the smallest common multiple of b(-17) and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -676.235 to the nearest 10.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027 + 56968511255?\nAnswer: 56968511254.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120021 (base 3) to base 2.\nAnswer: 10001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2642.\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*m**2 + 10*m - 4 + 349*m**2 + 17*m**2 - 8*m.\nAnswer: 276*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1588\/15 - -46969\/420. Let v = s + -40\/7. Factor -1\/4 + v*c**3 - 1\/4*c + 1\/4*c**2.\nAnswer: (c - 1)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-135)\/(-12) + 2\/(-8). Let d be ((-6)\/10)\/(x\/(-55)). Solve 3*w - 2*v = -7*v + 6, -5*w - 24 = -d*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -0*m + 4*m - v, 226*m - 170*v = -167*v + 27 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(153) - sqrt(153))*-1 - -5*(sqrt(153) + sqrt(153)*-2))\/((-1*(sqrt(90) - -1*sqrt(90)))\/(sqrt(10) - -5*sqrt(40)\/sqrt(4))).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/3)\/2)\/(12\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12902 is divided by 206?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 737921.9318 to the nearest one hundred.\nAnswer: 737900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u. Suppose -3*x - 2*l + 1 + 0 = 0, u = -3*l + 6. Let d be 9\/4 - (-12 + (-70)\/(-5)). Which is the nearest to d? (a) 0.5 (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32609535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*t = 8*t + 21*t - 3015. What is the remainder when 235 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.02 (b) -5 (c) 0 (d) -0.3 (e) 8\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -7, -999?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 + 1 = 0. Solve r = -m + 6 - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -1, -626\/9, 3.69?\nAnswer: -626\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1346\/(-5) + 31\/((-465)\/(-18)). Which is smaller: l or -269?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -45*l + 2. Let u be d(-1). Suppose -u = -4*m + 73. Calculate the greatest common factor of m and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + 14. Solve -53*z = -l*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 4*u + u)*(-u + 6*u + 2 + 0) to s*u**2 + v + q*u and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 391 = -227*r - 744 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**5*o**3 + 5382*k**3*o**3 + 13*k*o**3 - 2138*o wrt k?\nAnswer: -20*k**3*o**3 + 32292*k*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -32856365 to the nearest 100000.\nAnswer: -32900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 6*d - 2. Suppose 3*w - 3*l = 33, -9*w = -5*w + 5*l - 35. What is the tens digit of c(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4798535440.\nAnswer: 2, 5, 83, 157, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygg when three letters picked without replacement from gysqgglsyall.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 14*s**2 + 30*s - 65. Let p be q(12). Solve 5*w = -p*r + 2*r - 5, 0 = 3*r + 4*w + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x - 4*x + 247. Calculate the highest common factor of 475 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 4 + 3)*(138*g - 2113 + 2113).\nAnswer: 2898*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212440 (base 5) to base 3.\nAnswer: -100221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*c - 3*c + 2*u, 0 = 4*u + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 c when three letters picked without replacement from scssc?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**8\/1008 + 4*f**7\/315 + f**6\/30 - f**5\/90 - 13*f**4\/72 - f**3\/3 + 25*f**2 - 14. Factor p(i).\nAnswer: (i - 1)*(i + 1)**3*(i + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138531887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m + 0*m)*(24 + 4 + 24)*(m + 0*m + 2*m).\nAnswer: 468*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*g = -6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**2 + 4. Let t(g) = 6*g**2 + 3. Suppose p = -3*p + 12. Suppose 0 = 5*n + 2*w - 2, -2*n - w = -4 + 3. Suppose n*r + p = r. What is r*v(h) - 4*t(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*f + 116, -5*o + 166 = 40*f - 39*f. What is the common denominator of 58\/95 and o?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -282, -561, -840, -1119, -1398?\n\"Answer: -279*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1022 divide 14364210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z = -469 + 379 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -77. Suppose 23*o + 87 = g*o. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -24*s**3 - s**2 - 2*s - 1. Let p(i) = i**2 + 4*i. Calculate the remainder when p(5) is divided by v(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10363602)\/(-98) + 300\/(-7350) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dim when three letters picked without replacement from mieddhj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, -0.3, -14.4, -1\/2.\nAnswer: -14.4, -14, -3, -1\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40508 is divided by 10112?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 947*m + 4*m**3 - 947*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -3\/8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -62*s**4\/3 + 71*s**3\/6 - 27*s**2. Is a(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 12*w + 1. Suppose 0 = s, 4*m - 3*m = 5*s + 30. Let g be 9\/(27\/m) - 3. Suppose 4*a - 7 = 3*h, 3*h - 2*a - 2 = -g*a. Calculate q(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 18 = 4*l, -15*d + l - 385 + 475 = -l for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 3. Let x be a(5). Let w be (4\/(-6))\/(x\/(-9)). Let v(f) = -w*f - f + 2*f. Let o(k) = -3*k**2. What is v(o(n))?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-7 + 6 + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 0*f + 0 + 1\/24*f**4 - 3*f**2 - 2\/3*f**3 + 1\/12*f**5. Let u(s) = -s**2 + 1. Let x(o) = 2*q(o) + 11*u(o). Give x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*a**2 + 86*a**2 - 183*a**2.\nAnswer: -403*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-24)\/4*(-32)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1795 - 445. Round p to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5766 - -5778. Solve 21*p - 25*p = d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x**2 + 13*x + 5. Let q(c) = -11*c**2 - 18*c - 7. Let n(f) = 5*q(f) + 7*s(f). Let l(p) = -2*p**2 - p. Calculate l(r) - n(r).\nAnswer: -3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2868*r + 2870*r = -53, 0 = -5*d - 3*r + 63 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67570 and 2610?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((55\/10)\/11)\/(101\/(-5050))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106 (base 15) in base 11?\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*n - 0*r + 18, -n = -3*r - 19. Solve 3*k = 2*s - 15, k = n*s - 8 - 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5671*r = 5661*r + 2440. What is the lowest common multiple of r and 26?\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xssssssssssssxsssss. What is prob of picking 1 s and 2 x?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -7. Let s be ((-3)\/(-5))\/(d\/(-10)). Suppose s*c = 2*c. Solve -p - 3 = -c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 62. Let h be ((-3)\/(-2))\/z*-4. Factor n**h + 23*n + 0*n**2 + n**2 - 20*n - n**3.\nAnswer: -n*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 192073*a - 1152517. What is v(6)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00174008 to 5 dps.\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 660 and 361680.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, r: 9}. Give prob of sequence hhrr.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 1.1029?\nAnswer: -0.22058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**2\/7 + 132*y\/7 - 160 = 0.\nAnswer: -140, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9637873496 divided by 4?\nAnswer: -2409468374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 39*v + 294. Let l be c(25). What is the greatest common divisor of 56 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 30 = -261*m - 269*m + 532*m, 5*r - 4*r - 2*m = -12 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -0.088830868?\nAnswer: 5.088830868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*b**3 + 47*b**3 - 96*b**3.\nAnswer: -110*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.1 rounded to the nearest integer?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from vkvkkvvvvkkvkkkk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*i - 431*i + 180 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 1, j: 1, n: 3, y: 1, u: 5}. What is prob of sequence qn?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 191*z - 707. Determine q(3).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30267210 + -20267198. Suppose -2*r + 4*m = -r - 2500012, 4*r - 4*m = n. Suppose 0 = 4*b - 9*b + r. What is b rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10}. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 362898 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-50*48\/(-1500))\/((-6)\/75)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.01 (b) -4 (c) -0.2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4732*j - 23651. What is a(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1287 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 867 - 846. Let m = -52 + 37. Let g = m + k. What is the greatest common divisor of 15 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 64*m**2 - 18*m - 23. What are the prime factors of w(8)?\nAnswer: 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.551 * 58.\nAnswer: -31.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 14475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4045*1\nAnswer: 4045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 1 = w - 2*d, -2*w + 3*d = -13. Let a be -4*2\/(-40)*w + 2. Suppose -2*t = t. Solve -5*b + a*b = t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*q**3 - 51*q + 6*q**3 - 52*q**3 + 16*q - 30*q.\nAnswer: 4*q**3 - 65*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 9:02 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 3*j + 35. Suppose 39*l - 27*l = 1 - 1. Determine n(l).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -293*v**2 - 296*v wrt v.\nAnswer: -586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - 0.554. What is t rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaauaaauaa. What is prob of sequence uu?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 7022870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0)*(8 + -4). Solve -2 = -v*x + 6*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(14\/3)\/(114\/(-171)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101836 is divided by 50350.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11943918 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 23*o**3 + 0*o + o**2 - 24*o**3 to the form w*o + a + f*o**3 + h*o**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 3*g + 24. What is n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 51 - 90*k + 33*k - 267 - 26*k**2 - 30*k**3 + 29*k**3. Let t be n(-24). Factor 3*h**2 + t*h + 3\/4*h**4 + 0 + 3*h**3.\nAnswer: 3*h**2*(h + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 56. Suppose 0 = y*x - x + 3*v - 392, 4*x - 313 = -3*v. Let q = -12 + 28. Calculate the remainder when x is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 37. Suppose -4*a = -0*a. Let x = a - -9. Calculate the remainder when n is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 4. Let k be m(-4). Let q = k + -12. Let z = 11 - q. Solve -3*y - 8 - 11 = -4*b, z*y + b = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, 0, 440\/7, -0.5, -2\/5 in descending order.\nAnswer: 440\/7, 0, -4\/13, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*c**3 + 7*c**3 - c + 7*c**3 + 2*c**3 as x*c + n + d*c**3 + f*c**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.11 (b) 1\/2 (c) -4\/21 (d) 0.8 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(19))*5 - (sqrt(76)\/sqrt(4) + -1)) + ((-2 + sqrt(304))*-4)**2.\nAnswer: -252*sqrt(19) + 4929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 29757800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - (-1012)\/32) + 173\/(-8)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 43 = 35. Let x be (o + (-9)\/6)*2. Solve x*p - 2*d - 8 = 0, 0*p + d + 9 = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 6658974.\nAnswer: 26635896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 351\/265 or 2?\nAnswer: 351\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1409 + 9860\/7. What is the third smallest value in c, 0.1, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*r**5*z + 3*r**5 + r**4*z - 38*r**2*z - 17*z wrt r.\nAnswer: 300*r**2*z + 180*r**2 + 24*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, x: 4, y: 1}. Give prob of picking 3 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 2, l: 1}. What is prob of sequence hg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 424*i + 183.\nAnswer: 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.03, -0.03 in increasing order.\nAnswer: -6, -0.03, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2142\/144 + ((-114)\/(-144) - 4\/6). What is the greatest common factor of a and 8985?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3552624 (base 7) to base 3\nAnswer: 211212021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -459, -903, -1347, -1791?\nAnswer: -2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*s**2 - 7*s**2 + 3*s - 10*s**2 - 10*s**2 to g*s**2 + w*s + z and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6 - 6. Solve -n - 1 + t = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.327 millennia?\nAnswer: 23.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-8) - ((-24)\/6 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i*i**3*i)\/i*i))\/i)\/i**(-2\/11))**(-16\/5)\/((i*i\/(i\/(i*i**0)*i)*i**4)\/(i**0)**(-2\/5)) assuming i is positive.\nAnswer: i**(573\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-2*i + 2*i - i) + (-5*i + 4*i + 2*i)*(2 - 3 + 3) - 9*i - 22*i - 9*i.\nAnswer: -37*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13000*w - 9816 wrt w?\nAnswer: -13000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*c - 11*c + 7*c to l*c + o and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*t + t - 4*y, -2*t - 1 = -y. Let l(p) = p**3 + 13*p**2 + 13*p + 16. Let k be l(-12). Let a = -13 - -13. Sort t, k, a in descending order.\nAnswer: k, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from kxxn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 - a**2 - 34 - 2*a - 5*a**2 + 12*a**2 + 6*a**3 to l + g*a**2 + v*a**3 + d*a and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*s - 5. Let t = -2 + s. Suppose -3*f + 60 = 5*i - f, -t*f = -5*i + 35. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -244, -1, -3, -5.\nAnswer: -244, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -221 - -251. What is the remainder when 147 is divided by r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 11:26 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1900) - ((4 + sqrt(1900))*5 + sqrt(1900)))**2 - (sqrt(114)\/(-6*-6*sqrt(6) + sqrt(6)))**2).\nAnswer: 4000*sqrt(19) + 131150162\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246276.\nAnswer: 2, 3, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 63\/27)\/(-2 + (-364)\/(-180)). Solve -c = -2*q + 11, -q - m = -3*c - 33 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -1.88, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -99*l + 1. Let v be k(-1). Let g be (6 - 46)*(1 + -2). Calculate the greatest common divisor of v and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66 + -221?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 + -50. What is the remainder when 176 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1336 - -478. Suppose 4*b - 2*z + w = -1350, 3*b + 2372 = z. Round b to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12 - -13 - (0 + -59999). Suppose 6*p + 0*p = x. What is p rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/7 + 338*t\/7 + 3768\/7 = 0. What is t?\nAnswer: -157, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5066*q**3 + 2026*q**2 + 5569*q - 353?\nAnswer: 30396*q + 4052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 76\/10 + (-3)\/(135\/(-18)). Suppose -x = -3*q + y, -2*q + 1 + 11 = -2*x. Round x to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2403 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -7*r**4\/8 + 4*r**3\/3 - 878*r**2. Let d(a) = -2*a. Determine b(d(z)).\nAnswer: 42*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 951.9808 decades in millennia?\nAnswer: 9.519808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/1)\/5*6)\/((-1068)\/(-3560))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3289 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 2*v**2 + 2*v - 3. Let c be n(-3). Is 41 a factor of -4 + c + -3 + 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 85*q**2 - 175*q. Let n(p) = -7*p**2 + 15*p. Let l(a) = 3*f(a) + 35*n(a). Let c(h) = 68*h**2 - h. What is c(l(o))?\nAnswer: 6800*o**4 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3422 - 1702*g - 633 - 3334*g + 966*g wrt g.\nAnswer: -4070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -34*l**2 + 0 + 22*l**2 + 0. Let h(k) = -2*k. What is s(h(q))?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 v when four letters picked without replacement from {s: 3, v: 7}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*k**2*z**2 - 2*k*l*z + 87*l*z**2 - l*z with respect to k.\nAnswer: -36*k*z**2 - 2*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*u**3*z**2 - 34*u**3*z - 2*u*z**2 + 257*u*z + 2*u + 117*z**2 wrt z.\nAnswer: 36*u**3 - 4*u + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83? (a) -0.1 (b) -34\/3 (c) -28 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**3\/3 + 4. Let a = -4 - -4. Suppose 3*x = -a*x. Give d(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 15) in base 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005031?\nAnswer: 7, 17, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2390963085 to the nearest 1000000.\nAnswer: 2391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 12*w**2 - 15*w - 11. Let d be m(-11). Let l = d - 28. Suppose 2*h - l*c = 79 + 108, h - 4*c = 89. List the prime factors of h.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542504?\nAnswer: 2, 17, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 4*w - 5*k - 143, 5*w = 2*k + 294. What is the highest common factor of 7826 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -340*k - 1655. What is the least common multiple of q(-5) and 2960?\nAnswer: 26640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15617 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 10, g: 7}. What is prob of sequence gog?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k - 3 - 52*k**2 + 1 + 51*k**2. Determine v(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 60 + 9*v - 5*v - 4*v to o + g*v and give o.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*r**2*s - 8*r**2*t**3 - 2*r*s*t**3 + 2*r*s - 4*s wrt r?\nAnswer: -26*s - 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**5\/3 + 2*k**4 - 10*k**3 + 34*k**2\/3 - 4*k = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/24 + 21\/12. Suppose 0 = -3*v - 4*r + 15, 4*v = -g*r - 0*r + 20. Which is the third smallest value? (a) 3 (b) -1\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40806997 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5 - -6)*1)\/((-23)\/2). Put 0.3, -3, r in descending order.\nAnswer: 0.3, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + -301621246?\nAnswer: -301621300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = -5*v + 2, -5*w - 45 = 4*v. Let l = v - -9. Let x(f) = 2*f**2 - 5*f - 3. List the prime factors of x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*u + 3. Let p = -1 - -1.4. Let l = p - 0.5. Sort 2\/5, l, u in descending order.\nAnswer: u, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.094 + -333.786. Let s = t - -1.48. Round s to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32333323 (base 4) to base 14\nAnswer: -18563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + 2 + sqrt(80)) + 5 + (-1*sqrt(405))**2 + -4*(sqrt(405) + 0 - sqrt(405)).\nAnswer: 20*sqrt(5) + 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -130\/3. Let -x*l**4 - 8\/9*l**3 + 2\/9*l**2 + 0 + 4\/9*l = 0. Calculate l.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 23 = -4*i, 3*i - 22 = 4*y - 0*y. Let u be ((-21)\/2)\/(-3) + (-2)\/4. Let s(r) = -7*r**2 - i*r + 5*r**2 + 0*r + 3*r + r**u. Calculate s(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-203)\/(-87)*((-4)\/4)\/2*12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/3 and 164\/12*(-10)\/(-1140).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o + o - 2988 = -56*o for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(6\/10) + (-4)\/(-1))*14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*i + 12. Let y be (19 - 0) + i\/2. Suppose -2*k + 47 = 3*l, 3*k - 4*k - l + y = 0. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 5:45 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(1\/4)*j)*j*j*j)**(4\/13)\/(j**9*j*j\/(j*j\/(j\/(j*j*j*j\/j**(-1)*j))*j)))\/((j\/(j*j**(-1\/5)))**5*(j**(2\/5)\/j)\/j**(-2)) assuming j is positive.\nAnswer: j**(-306\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a + 3. Let i be f(3). Suppose -3*x - 3 = -i. Solve -2*w + 1 = -m - 12, 37 = x*w - 5*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from sydhx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3, -0.04, 2\/7, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3998975 and 0.2.\nAnswer: 3998975.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -8)*5\/10. Suppose 30 = g*c + c. Let x(m) = m**3 - 7*m**2 + 10*m - 8. Let d be x(c). Solve q = 5*q - d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*r + 135 = -40, 3*r + 150 = 5*x. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 1. Let f(q) = -7*q - 32. Let u(o) = -f(o) - 5*m(o). Let x be u(-12). Suppose -35 = 3*s - 131. Solve x*a + s = 5*c, 5*a + 4*c = -c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 120*w - 117*w - 13, 0 = 3*w - i + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4456 is divided by 1484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g - 2. Let y(w) = 270*w - 111. Let j(a) = 4*v(a) + y(a). Let q(s) = 5*s - 2. Give -6*j(r) + 357*q(r).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1 - (-1 - -1). Let v(t) = 8*t. What is the remainder when v(2) is divided by 8 + 2*h\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 9 = -4*z - 3*t, 5 = t. Suppose -3*o + 20 = -j, 4*o - j - z - 11 = 0. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + -2 + 1 + (-346 - -342)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 378650 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 131022246 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/6 - 404*w**4\/3 - 12560*w**3\/3 - 112256*w**2\/3 - 397952*w\/3 - 496640\/3 = 0. What is w?\nAnswer: -776, -20, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 5*h - 5. Let s be u(7). Solve -3*r + 0*k = 2*k + 15, s = -5*r + 2*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6589*d - 6609*d + 69580 = 0. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16874.07 rounded to the nearest 10?\nAnswer: 16870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -764912*l**4 + 1063410*l**2 - 1 wrt l?\nAnswer: -18357888*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 809\/4 + -181. What is the common denominator of b and (6\/(-5))\/(12\/195)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 225 - 25. Suppose 0*v + 4*v + 4*g - f = 0, -4*v + 2*g = -52. What is the lowest common multiple of v and ((-4)\/(-6))\/((-8)\/(3 + -27))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 + -455\/4. Factor 0 + 1\/4*o**3 - 1\/2*o**2 + h*o.\nAnswer: o*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 0*y - 338*y**2 - 335*y**2 + 671*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.674 + 5.52. Let h = -0.204 - i. Let v = h - 5. Is v less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1564 + 13.211.\nAnswer: -1550.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 - 214.13. Let g = -0.13 - c. Let d = 0.01 + -2.01. What is the closest to g in 2, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115357?\nAnswer: 11, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 2*o = -51. Find the first derivative of 2*v**4 - 7*v**3 - 21 + 143 - 11*v**3 + 18*v**o + 14*v**2 wrt v.\nAnswer: 8*v**3 + 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42897 (base 16) in base 15?\nAnswer: -55b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 - 89*u + 25. What is z(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 269805774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 15*g + 15*g)*(254*g - 386 + 721 - 333 - 2*g**2).\nAnswer: -6*g**4 + 762*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 - 6*p - 27. Let y(a) = 4*a**2 - 8*a - 29. Give -3*k(q) + 2*y(q).\nAnswer: -4*q**2 + 2*q + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130)*-4 + sqrt(130)))*4 + sqrt(130))\/(sqrt(360)*2).\nAnswer: 17*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5318910)\/1208130 - (2\/1)\/14.\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3)*(2*s + 2*s + 2*s)*(9 - 3 + 2*s - 7) to j + f*s + w*s**2 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -733076, -1466417, -2199758, -2933099, -3666440?\nAnswer: -4399781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -110418 not equal to -582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.59714 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v\/v**(3\/5)*v*v)\/v**(-2))**(-10))**(-22\/5))**(1\/44) assuming v is positive.\nAnswer: v**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**5\/3 + 248*h**4\/3 - 1024*h**3\/3 = 0.\nAnswer: -128, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 5*i + i. Let k(u) be the first derivative of 16201*u - 128 - 16201*u - 3*u**3. What is k(x(a))?\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 t when three letters picked without replacement from ppzppzppmtptmtqptzp?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 0. Let f be 27\/j - -1*243. Suppose -36 = 2*l - f. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - q**2 - q**2)*(2 + 1 - 23)*(6 - 6 + 7*q).\nAnswer: 420*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*r + 3583, -1191 = -g + 32*r - 35*r. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 3*n**2 - 2*n - 7. Let j(i) be the first derivative of i**3\/3 - 6*i**2 + 15*i - 6. Let p be j(11). Let h be u(p). Does h = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267239415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 17716890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: cd (base 14) to base 12\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 16*d**2 + 48*d - 53. What is the units digit of c(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 4) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 225?\nAnswer: 22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 2311983.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*a + 122*a - 160 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 10473*m**2\/2 + 27415695*m\/2 + 27426169\/2.\nAnswer: (m - 5237)**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.040098425 + 84.040099065. Let f = z + -84. Round f to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(20)\/sqrt(2)))**2 - ((sqrt(72)*1)**2 + sqrt(72) + -2).\nAnswer: -62 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*w + 90*w - 103 = 171*w + 3*h, -4*h + 96 = -4*w for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Suppose -7 = -3*p + t. Suppose p*v = v + 176. What is the greatest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-2\/5)\/x)*x\/(x\/(x**(-1\/3)*x*x*x)*x))\/(x**8*x**4) assuming x is positive.\nAnswer: x**(-119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 36480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -31 - -1*(-1 - -4)*-1. Let n = 91 + q. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 261310 - -105?\nAnswer: 261415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - -205. Let k = 245.3 - p. Is k less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v - 2*v**2 + 3*v**3 - 5*v - v**3 + v**4 - 2 - 3*v as a*v**4 + s*v + k*v**2 + h*v**3 + p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 155321, 309800, 462611, 612920, 759893, 902696?\n\"Answer: -139*r**3 + 155452*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + b**2 - 2*b**2 + (0 + 4 - 5)*(3*b**2 - 6*b**2 + b**2) + 7*b**2 - 3*b**2 - 2*b**2 + (-11 + 11 - 27)*(-2*b**2 - 2*b + 2*b).\nAnswer: 57*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 548 + -341. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507 is divided by 61?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -11*u**6\/15 - 4*u**4\/3 + 27*u. What is the third derivative of g(f) wrt f?\nAnswer: -528*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 3. Suppose -o + 55 = m*o. Suppose -4*i = 2*u + 3*u - 8, i - 4*u = 2. Calculate the least common multiple of o and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + n**2 + 3)*(n + 2*n - 4*n) + 5*n**2 - 1 - 3*n**3 - 5*n**2.\nAnswer: -4*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - 13*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11737 by 40323.\nAnswer: -11737\/40323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3))**(2\/61)\/(((h**(-2\/17)*h)\/h)\/((h*(h\/h**(-2\/11))\/h)\/h*h)) assuming h is positive.\nAnswer: h**(44843\/34221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16434894991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - (-9 + 5 - -6). Let n(y) be the second derivative of 1\/4*y**2 + 1\/8*y**4 - 1\/40*y**5 - 1\/4*y**3 - x*y + 0. Factor n(o).\nAnswer: -(o - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.873 - 0.127. Which is the second smallest value? (a) o (b) -6 (c) 10 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1161183 + 322083. What is z rounded to the nearest ten thousand?\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 - -3) - (4 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72097271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*38318.\nAnswer: -1379448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11401337, 11401339, 11401341?\n\"Answer: 2*s + 11401335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/760 and -58\/5.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.31 + 3.33. Which is greater: x or -13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1082978 and 897.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*b**2*q**2*s + 2*b**2 + 399*b*q**2*s - 1119*b*q - 3*q**2*s + 5*q*s wrt q?\nAnswer: -100*b**2*s + 798*b*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 586, 1985, 4700, 9169, 15830, 25121?\nAnswer: 37480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) + (-2)\/(-6). Let d(v) = -v**3 + 7*v**2 + 7*v + 11. Let s be d(8). Let n = s - -1. Sort c, 3, n in decreasing order.\nAnswer: n, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13389 times 0.073\nAnswer: 0.00977397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 4)*(-3 - 2 + 3)*(-7*k**2 - 26*k**2 + 23*k**2).\nAnswer: 100*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4372 - 17491\/4. Which is the second biggest value? (a) -0.6 (b) -37 (c) -0.5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*i**4*o - 3*i**4 - 392*i**3*o + 2*i**3 - 2*i**2*o - 3*i**2 - 3*i - 960*o + 1 wrt i?\nAnswer: -240*i*o - 72*i - 2352*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2. Let x(f) be the first derivative of 2105*f**2 - 10299. What is x(u(r))?\nAnswer: -4210*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -1885*c**3\/3 + 13*c**2\/2 + 97*c - 1245. What is the second derivative of s(d) wrt d?\nAnswer: -3770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -12 - -13) + -5 + 0 + 13.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x = -5*v - 25, v = 4*x - 20. Let f(u) = u**2 - 3*u + 44. Let t be f(v). Calculate the highest common factor of t and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -256 + 256.0002. Let l = -0.0007 + q. Round l to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h - 18. Let v be j(11). Solve -v*l + l - 27 = 3*g, 0 = 5*g - 4*l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.054 in -0.2, 0.2, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, 6, -3, -5, -17 in ascending order.\nAnswer: -17, -5, -4, -3, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 5*i + 5*i)*(2 + 2 - 2)*(-72*i**2 - 95*i**2 - 6*i**2).\nAnswer: -346*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)\/d)\/d*d*d**(2\/25))\/(d**(-5\/4)*d**(2\/3))*d**(-3\/5)\/(d\/d**(2\/7))*d**(-1)*d*(d*d**(-2\/3))\/d assuming d is positive.\nAnswer: d**(-13267\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -520208.539296.\nAnswer: -520203.539296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3493010 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47462, 47457, 47448, 47435, 47418?\n\"Answer: -2*a**2 + a + 47463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 135*k**4 - 25*k**4 + 193*k**4 + (-4*k + 4*k + 4*k**3)*(2*k - k + k).\nAnswer: 311*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((56\/16)\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 5*k**2 + 6*k. Let m be a(6). Suppose m = -d - d. Solve -13 = t - 4*q, t + 2*t + 2*q - 3 = d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9654852l to millilitres.\nAnswer: 965.4852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 3:17 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from nnffnnnnnnfn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 339*b**2 - 49*b. Let w(n) = -29*n. Determine w(q(a)).\nAnswer: -9831*a**2 + 1421*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19900)\/6636 - (-13)\/((-65)\/(-15)). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 32577?\nAnswer: 32571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115\/69*(-3)\/(-15)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21516, -29506, -37496, -45486, -53476?\n\"Answer: -7990*k - 13526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12 + (-4)\/(-8)*4. Let f be (-13)\/(-26) - (-9)\/x. Sort -1, f, 0.9 in increasing order.\nAnswer: -1, f, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) + (-992)\/1062 + (-49 - -49). Is c > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 6. What is the first derivative of 2 - 3 - g*j**2 + 4 wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**18\/h**(-2\/17)*(h\/h**8)\/h**(2\/53) assuming h is positive.\nAnswer: h**(9983\/901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofeooeofo. What is prob of sequence off?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/7 + 24*m\/7 + 27\/7.\nAnswer: -3*(m - 9)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*m = 92*m + 969. Let c = m - 319. Factor -8*h**2 + 2\/3*h**5 + 0 - 4*h**c + 26\/3*h**3 + 8\/3*h.\nAnswer: 2*h*(h - 2)**2*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvhvvvvvhvvvvvhh. Give prob of sequence vhvh.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.4 take away 8122?\nAnswer: -8182.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/30 - 4*y**2. Let q(w) = 5*w**2 - 3*w. Let z(u) = 56*u**2 - 34*u. Let j(p) = 68*q(p) - 6*z(p). Give h(j(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 11) to base 2\nAnswer: 111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21022 - 10210112100?\nAnswer: -10210210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5992453?\nAnswer: 47, 59, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 27.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 24660*j**2 + 591239*j - 615900.\nAnswer: (j - 1)*(j + 25)*(j + 24636)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6960 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97c (base 13) in base 12?\nAnswer: b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = t + 9367, 0 = -w - 3*t + 3139. Let c = w - 5940. What are the prime factors of c\/(-55) - 1\/5?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 369, 16, 2, 113, -5 in decreasing order.\nAnswer: 369, 113, 16, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1617 + 0.161699312. What is f rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 4*g**2 + g + 17. Calculate y(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 203*k + 112. Let w(m) = -305*m - 168. Let a(x) = -8*f(x) - 5*w(x). What is the units digit of a(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 3 (b) -4 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/8 of a litre in millilitres?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 9*p - 35. Calculate the greatest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 + 46. Let n = -55.00000058 - s. Round n to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-533*i**2 - 662*i**2 - 1152*i**2)*(-1 + 2 + 0) to the form n + z*i + a*i**2 and give a.\nAnswer: -2347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b3 + -4?\nAnswer: ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 + 349*i - 121801\/2.\nAnswer: -(i - 349)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 = 3. Let i(b) = b**2 - b - 7. Is i(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000994 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352 and 24.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyooyyoooooooo. Give prob of picking 2 o and 1 y.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -4. Let n be (-9)\/(-30)*f*(-94)\/3. Round n to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 10838.36um?\nAnswer: 0.01083836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:46 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)*(2 + -7 + 11). Let a(b) = b**3 + 7*b**2 + 6*b - 4. Give a(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-5*9\/(-15)*(-70)\/(-42)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 187 and 1241?\nAnswer: 13651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 take away -0.072?\nAnswer: -0.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -25*v**4 + 2385*v**3 - 31410*v**2 - 248500*v + 4051320 = 0?\nAnswer: -53\/5, 14, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21817623 and 3576.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.59, 2, -5, 1 in descending order.\nAnswer: 4, 2, 1, 0.59, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k - 5*k - 2*k**2. Suppose 2*a = -3*a + 10. Let f(v) = v**a + 4*v**2 - 2*v**2. Calculate z(f(u)).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 235 times 21.9\nAnswer: 5146.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Let b(o) = -2*o + 13 + 6 - 18. Let g(n) = -n**3 - 5*n**2 + 4. Let j be g(-5). What is j*m(s) - b(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 14) in base 3?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12333090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -540 + 541.16. Let x = 1.06 - h. Which is bigger: -32.5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + 7. Suppose -3*x - 30 = -5*f, -f - 48 = 3*x - 0*f. Let l = x + r. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 446050, 892096, 1338126, 1784134, 2230114, 2676060, 3121966, 3567826?\n\"Answer: -y**3 - 2*y**2 + 446059*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 + 99*n + 1082. Is 7 a factor of p(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*r - 3 - 12, -2*h - 5*r = 21. Which is the smallest value? (a) 0.2 (b) h (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/7)\/(24\/168)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64.3 - -61.3. Which is the third biggest value? (a) -0.2 (b) -8 (c) j (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/(5*1*sqrt(8)))\/(sqrt(20)\/(sqrt(320) + sqrt(320) + sqrt(320)*-3 + sqrt(5))).\nAnswer: -7*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -588 by 2148.\nAnswer: -49\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*f - 329 = -387*f. Solve 4*m + 5*h = -m - 10, f = -2*m - h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 less than -1343.90770652?\nAnswer: -1340.50770652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -157*j + 2. Let q(k) = -6*k + 3. Calculate -f(w) + 3*q(w).\nAnswer: 139*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + 61. Is l < 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1196 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200.01 take away -39133?\nAnswer: 49333.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 - 0.9. Which is the nearest to 0.2? (a) -3 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/8 + 2\/(-4). Suppose -4*d + 4*k - 2 = -18, k + 2 = -d. Solve -u - 2*i = 1 + d, 0 = -3*u + b*i - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*t + 229*t + 5916 = -580*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**6\/15 + 23*v**4\/3 - 4*v**3\/3 - 2*v**2 + 18*v - 3. Find the second derivative of f(y) wrt y.\nAnswer: -24*y**2 + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4465033 - -19865033. What is z rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-10 - -7)*2\/(-2). Suppose d = 49*s - 17*s - 128. Solve s = 4*v + 3*r + 2, -2*r = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/6 and 73\/12009.\nAnswer: 24018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.81 + -24. What is g rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 48\/5 of a microgram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-282)\/15 + (-1 - 8\/(-10)). Let a(s) = -s**2 - 17*s + 35. Let c be a(v). Put 2, -7, c in ascending order.\nAnswer: -7, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**3 + 120*l**2 + 4385*l + 15300 = 0. Calculate l.\nAnswer: -17, -4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 2*c + c + (4 + 1 - 6)*(3 - 3 - 2*c) + 10*c + 10*c + 23*c to g*c + i and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 + 3837499\nAnswer: 3837496.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/o**(2\/3))\/o))**1*(o\/(o*o*o**(1\/4)))**(-18\/11) assuming o is positive.\nAnswer: o**(245\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/19))\/(h**(-22)\/h*h)*(h**5)**11 assuming h is positive.\nAnswer: h**(1480\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a6c78 (base 13) to base 14\nAnswer: -7b943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1106742?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 - 18*c**3 + 155 + 35*c**3 - 18*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p. Let y(d) = 2*d**2 + 14*d. Let g(t) = 2*t**2 + 12*t. Let i(q) = 7*g(q) - 6*y(q). Calculate h(i(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (122 - 34 - 711)*(0*s - s + 3*s)*(4*s - 5*s + s + 2*s**2) to p + c*s + d*s**3 + x*s**2 and give d.\nAnswer: -2492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 109 divided by 109\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + -269 + 289?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m. Let k(v) = 3885587*v**2 + v. Determine k(o(x)).\nAnswer: 15542348*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141 or 257287\/1843?\nAnswer: 257287\/1843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**8\/168 + q**7\/21 - 2*q**6\/15 + 2*q**5\/15 + 17*q**2. Find g, given that k(g) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/6*27\/6. Suppose -3*z + 9 = 3*h - 0, -4*h + 4*z + i = 0. Suppose 22 = h*j - 68. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -10\/7*v**2 + 6\/7*v + 4\/7 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41949490 times -19?\nAnswer: -797040310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2365 + 14457*m**3 + 946*m + 3162 - 946*m with respect to m.\nAnswer: 43371*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000100111000111 (base 2) in base 8?\nAnswer: -204707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10563 - 7551. Does 96 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446538.3ug in milligrams?\nAnswer: 446.5383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 10. Let t = 727 - 675. Suppose -6*o = -64 + t. Solve c = 4*b, -o*n = -n + 5*b - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 10. Let c be 0 + 0 + -1 + (4 - 10). Determine r(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 32007, 3, 0 in ascending order.\nAnswer: 0, 3, 4, 32007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986 is divided by 244.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1514 - 594*d**3 - 3035 + 1521.\nAnswer: -594*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 45*d**2 + 20*d + 46. Let o be v(22). Suppose 4*i + 2 = 6*i, 822 = o*h + 4*i. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 6*y**2 - 12*y - 13. Let q be k(-4). Let n = -13163\/21 + 627. Sort q, n, -5\/2 in decreasing order.\nAnswer: q, n, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 7:49 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/882 and 115\/294.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 - 348 = -2*i. Let o be (-8)\/(i\/(-78)) + 6\/(-10). What is the units digit of 245 + (-16)\/(-6)*(-3)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 77681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -692, -2068, -4126, -6866?\nAnswer: -10288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/82477, 3\/5, 2\/17 in decreasing order.\nAnswer: 3\/5, 2\/17, -4\/82477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48722303 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/60*-25 + -11 + 0. Factor 0 + 5\/4*c**2 + c + s*c**3.\nAnswer: c*(c + 1)*(c + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.1 - -18.1. Let s = -14.9 + w. Which is smaller: s or 10\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3251 + 3253. Let q(v) be the second derivative of 1\/2*v**4 + 0*v**w - 13*v + 7\/3*v**3 + 0. Find the second derivative of q(z) wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -32. Let l(m) = g - 8*m - 3 - 1. Let k(p) = -2*p. Determine l(k(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u. Let l(s) = 4*s - 13. Let o be l(6). Let c = o - 5. Let p(w) = 2*w. Let v(i) = i. Let m(x) = 3*p(x) - 5*v(x). Calculate c*m(j) + n(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b + 370 = 54*b + 74*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3 = 4*g, 3*i + 197811*g - 197814*g + 36 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -196.1179 to the nearest integer.\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1.9. Let q = -5 + 5.5. Which is the nearest to h? (a) -3\/4 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 - 83 + 77 - 2*h**3 - 6*h - 53*h**2 + 8*h in the form s*h + w*h**2 + k*h**3 + c and give w.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 1430967.\nAnswer: 10016769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**3 + g**3 + 2*g**3 + 7*g - 5*g**2 + 7. Let o(x) = 3*x + 9. Let i be o(-5). Calculate a(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23171?\nAnswer: 17, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*m - 11*m - x + 3, 4*x - 8 = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38292*g - 125 = -38317*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 59.9985. What is c rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243*g**4 + 2671*g**3 + 6782*g**2 - 56*g.\nAnswer: g*(g + 4)*(g + 7)*(243*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*w + 0)*(-3 + w + 3)*(0 + 1 - 2)*(3 + 12 + 4).\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - r = 2*v - 227, -v + 79 = -3*r. Let i = v + -35. Suppose -i*s = -45*s + 192. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + j - 6. Give l(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 10*q**2 + 5*q - 10. What are the prime factors of h(10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, x: 3}. Give prob of picking 3 q and 1 x.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**5\/4 + 2*f**4\/3 - f**3 - 15*f. Let q(g) = 14*g**3 + 23*g**2 - 17*g. Let i(w) = 17*o(w) - 6*q(w). Factor i(j).\nAnswer: j**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 - d. Let i be j(1). Suppose 5*u = -i*h - 14, 3*h + h + 11 = u. What is the units digit of (-6)\/h*1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -334 (base 5) in base 12?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109\/44 - 30\/11. Let z = 0.2 - 1.2. Let d be -5 + (-14)\/(-4) - (-3)\/2. What is the closest to 0 in j, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62238.8 - 62239. Let j = -4 + 6. Let g = 1.5 - j. Which is the closest to l? (a) 5\/2 (b) 1\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-6)\/(-936)*-9.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*w = -27, -3*q + 2 = q + 2*w. Suppose q*p = -p - 3*m - 9, 2*m = p + 5. Is (p - 75)*-3 - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 14*i + 9*i - 3337, l - 5*i = 1681. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 581.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*n = 4*n - 6, 13 = 5*d + 3*n. Let c = -41 - -46. Suppose c*j = 8*j - 6. Calculate the highest common factor of d and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/12)\/(22855\/(-2322068))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8509090.4 rounded to the nearest 1000?\nAnswer: 8509000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w - w**2 - 9*w + 2*w**4 - 23 + 11 to the form m*w**2 + h*w + q*w**3 + n*w**4 + k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Suppose -2*f + 9*f + 8*f = 0. Suppose -w + z = -2, f = -2*w + 4*w + 3*z + 6. Solve -d*t + t - 4 = w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/(s\/(s**(-6\/17)\/s)))\/(s*s*s*((s*s*s**(-2\/93)*s)\/s)\/s*s*s*s*s**(-3\/20)) assuming s is positive.\nAnswer: s**(-290317\/31620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*w**2 - 26*w**2 - 19*w**2)*(5 + 12 - 9).\nAnswer: -224*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.924318 millilitres?\nAnswer: 0.006924318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2031*d**2 - 27*d - 1. List the prime factors of g(-1).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeveveeeeeeeeeeeve?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 762500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -3 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*s**2 + 848*s + 1392 = 0. What is s?\nAnswer: -174\/19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*a + 51 - 51)*(3 - 3*a**2 + 2*a**2 + 3*a**2).\nAnswer: 38*a**3 + 57*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1199*v**3 - 2*v**2 - 4*v + 12.\nAnswer: -7194*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/5)\/(43\/(-215)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4915, 9857, 14799?\nAnswer: 19741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*b - 1656 = 96*b - d, -4*d + 980 = 3*b. Put b, -4, 1, 3, 6 in decreasing order.\nAnswer: b, 6, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/9 + (-5028)\/(-27) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 10*d - 1. Let p(v) = 9*v + 23. Let k be p(-2). Let f = 12 + 12. What is the smallest common multiple of j(k) and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - 0.09241.\nAnswer: 6.90759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 + 6 = 0. Solve -5 = u + 3*w, -g*u + 5*w + 12 = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 401*w + 1942. Determine q(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2 - 3 + h**3 + 12 + 5*h - 5. Let c be u(4). Solve -2*d + 0*d + c = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 23. Let j(i) be the third derivative of i**5\/60 + 206*i**2. Calculate j(w(n)).\nAnswer: n**2 - 46*n + 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 578.\nAnswer: -57.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 + 3 + (-246 - -171)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Suppose 2*c - 8 = -2*w, -4*c + y*w = -4*w + 16. Is (-49)\/((-3 - -2) + c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(12\/(-10)*25\/20)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:17 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105737493 a multiple of 1255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b + 24. Let m be r(-8). Let t(p) = m*p**3 + 4 + p + 5*p**3 - 2*p - 3*p**3 - p**2. Does 14 divide t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144\/(-120) + 64\/70 + 37\/7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-8 - (12 - 8)) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (-133 + 125).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82150829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-8)))**(-48) assuming v is positive.\nAnswer: v**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15168 = 72*n - 188*n - 121*n for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - i = -12 + 2, 0 = 2*k + i - 4. Suppose -k*m = 3*m - 30. What is the remainder when (-30)\/(-8)*(-16)\/(-6) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b (base 15) to base 9\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + t - 1. Let o(s) = 5*s**2 - 5*s + 8. Let r(n) = -6*g(n) - o(n). Calculate r(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612040516 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468091 divided by 5.\nAnswer: 468091\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*f**4 + 850590*f**3 - 6699672111*f**2 + 8931762060*f - 2977128012.\nAnswer: -3*(f - 15751)**2*(3*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -353, -2748?\nAnswer: -2748","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 45201\nAnswer: -35\/45201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 5 + 5 + (-2 + 6 - 1)*(-4*z + 4*z - z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*u + 12*u + 5*u)*(13 - 4 + 47) to the form j*u + f and give j.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3366\/(-187)*((-166)\/42 + 4)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/2, -0.22, 1, -5?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - n**2 - 5*n + 2. Let o be (-36)\/20 + 1\/10*-2. What is the least common multiple of w(o) and 4\/((-2)\/(-3) + 0)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/l)**(-31)*(l**(-9)*l)**30 assuming l is positive.\nAnswer: l**(-302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13d36 + 13?\nAnswer: -13d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83428?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 26*t**2 - 49*t - 16. Let b be s(-24). Suppose 38 = b*j + 14. Suppose 0*x - 16\/13*x**j + 2\/13*x**2 + 0 = 0. Calculate x.\nAnswer: 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.399791108 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718*q + 59*q - 95*q = -28071 - 24443 for q.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/21017948 and -101\/231197428?\nAnswer: 231197428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 121 + 139. Calculate the greatest common factor of j and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 3)*(0 - 4 + 1)*(0*g**4 - 5*g**4 + 2*g**4) + (-5 + 0 + 3)*(-2*g**4 + g**4 + 3*g**4) in the form r*g**3 + v + p*g + i*g**4 + w*g**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*-2*-1)**2.\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = -6*w. Let y(m) = -1119*m**2 + 8*m - 20. Let u be y(w). What is u rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/888 and -80\/2769.\nAnswer: 819624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 25400*s**2 + 664060*s - 1429680.\nAnswer: -5*(s - 5106)*(s - 2)*(s + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6923933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4388, -5, 579?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (39\/24 + 0). Let k = z - -1\/8. What is the biggest value in -3, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*v = -10, 0 = -7*y - 7*v + 2692 - 2720 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41773801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -a - 5*o + 36, -3*o = -2*a + 2 - 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 1:17 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*a + 9, 4*a = 2*a. Suppose n*u - 5*u = -4*p - 4, u - 2 = p. Suppose 0 = 3*v - 3*x - p*x - 15, 0 = 2*v + x - 4. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -17559577736.\nAnswer: -17559577741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 761\/10 - 6487\/70. Let n = 1112\/7 - 998\/7. Let s = w + n. What is the third biggest value in s, -0.6, 0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (230\/(-2875) - 3754\/(-50))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1067*h - 169 with respect to h.\nAnswer: -1067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) 4\/3 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.08, -1\/6.\nAnswer: -1\/6, -0.08, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 92 = -80 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -518, -1337, -2700, -4607, -7058, -10053, -13592?\n\"Answer: -272*s**2 - 3*s - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16557 + 34607. Is 146 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2748*h**2*l - 745*h**2 - 951*h*l**4*r**3 + h*r**3 + h*r + 4897 with respect to l.\nAnswer: -2748*h**2 - 3804*h*l**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.77747647 to two dps.\nAnswer: -4.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -985, -1924, -2829, -3706, -4561, -5400, -6229?\nAnswer: -7054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**4\/78 + 3*s**3\/13 + 4*s**2 + 824*s. Factor r(m).\nAnswer: -2*(m - 13)*(m + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Let u(z) = 80*z - 2328. Let s be u(29). Sort 3, s, k in increasing order.\nAnswer: s, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5\/2 - 141*u**4\/2 + 1461*u**3\/2 - 2511*u**2\/2 + 594*u = 0 for u.\nAnswer: 0, 1, 12, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -508 - -644. Let a(p) = 72*p + 62*p - m*p. Let v(y) be the third derivative of -y**4\/12 - 43*y**3\/6 - y**2. Give v(a(h)).\nAnswer: 4*h - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*m - 16 = 0, -5*y + 18 = 2*m - m. Let s(k) = -3*k**2 + 2*k + 3. Let v(t) = t**2 - t - 1. Determine y*v(f) + 2*s(f).\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11431 + 3310?\nAnswer: 20241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 divided by -6?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*t + 672 = 0, 2*t = -3*t - 25. Suppose -l*y = -333*y + 1470. What is the greatest common divisor of y and 252?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)\/sqrt(4))\/sqrt(8)*5*2*2 + 0)**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32296.42 * 0.324.\nAnswer: 10464.04008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 45. Suppose 2*k - u*k = -8. Suppose -3*r + 210 = k*r. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47364, -47368, -47374, -47382, -47392, -47404?\nAnswer: -47418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5726, -1, 1 in decreasing order.\nAnswer: 1, -1, -5726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 3:15 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = -2*r + 9, 0 = 2*f + 4*r - 8. Solve f*q = a + 23, -2*q + 3*a - 2 = -21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*x + 25, 2*r - 10 = 2*x. Solve u + r = -2*s, -5*s = -2*s + 3*u + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -11*l**3 - l - 2. Let z be h(-1). Factor -20*m**5 + 5*m**2 + 40*m**5 - 32*m**4 + 0*m**4 + z*m**3 - 3*m**4.\nAnswer: 5*m**2*(m - 1)**2*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*a - 14. What is the units digit of ((-1)\/(-2))\/(a\/(-252))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101 and 2727.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12274 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20337785332.340005 + -20329030249.34. Let a = l - 8755170. Let x = a - -87. What is x rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 456 - 452. Let x(d) = -4*d**2 - 3*d**3 - 2*d - 2*d + 8*d. Let v(y) = -y**3 - y**2 + y. Determine z*v(k) - x(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.99. Let h = 75.45 + -75.6. Let z = n - h. What is z rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(513)\/sqrt(3) - (5*sqrt(209) - sqrt(209))\/sqrt(11).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697760 divided by 139552?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1 - -4716 - (2 - 9)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0114527 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + -3)*26\/(-8). Suppose m - r = -m. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - 16 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**4 - 2*t**2 - 2*t + 8. Let u(y) = 4*y**4 + 3*y**2 + 3*y - 7. Let v(o) = 3*r(o) + 2*u(o). Differentiate v(j) with respect to j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x - 32. Let f be k(5). Let a = -12 - -16. Let p be 25\/(-15) - a\/(-6). Put f, 8, p in descending order.\nAnswer: 8, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((217\/(-84))\/(-31))\/((-6)\/8)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/15*141\/(-47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 - -94 - (-2 + 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.2 + 5. Let k = 2.2 + u. What is the third smallest value in 2, k, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.057 + 93.943. Let y = x - 44. Let s = y + -50.22. What is s rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**17*h**18)\/(h*h**8)**(-35) assuming h is positive.\nAnswer: h**350","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1130, 1129, 1128?\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/85 and -28\/765?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 136 = -3*p + 18 + 5, -155 = p - 5*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 3*r + 3. Which is the closest to -2? (a) r (b) -0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*a**3*g + 7*a**3 + 19*g + 8 wrt a.\nAnswer: -24*a**2*g + 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12840, 30560, 48280, 66000, 83720?\n\"Answer: 17720*s - 4880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a hour in seconds?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16\/5 (b) 5 (c) 3\/22 (d) -0.5 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 138271 to the power of 1\/2, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 4*i - 3)*(14*i**4 - 10*i**4 + 21 - 6*i**4).\nAnswer: 8*i**5 - 2*i**4 - 84*i + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4212, -7, -1\/5, -256 in ascending order.\nAnswer: -256, -7, -1\/5, 0.4212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 876317 and 1937.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 267*l**2. Let m(n) = 9991*n. Give m(x(f)).\nAnswer: 2667597*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:54 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 311 + -342?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*s**3 + 40006*s**2\/3 - 31432*s\/9 + 1048\/9 = 0. Calculate s.\nAnswer: -131, 2\/51, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12306 or 492277\/40?\nAnswer: 12306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((1\/9)\/(24\/54)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8718 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -5781.5, 22?\nAnswer: -5781.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18b + 5b?\nAnswer: 22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 2125.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -70*n - 77. What is i(-4)?\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14636 - 7831. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -290 - -256.3. Let s = j + -5.3. Let b = 38.83 + s. What is b rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {j: 4, k: 1, x: 1, z: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + ((sqrt(104)*-1 + sqrt(104))\/sqrt(2))\/sqrt(4) + 5 + sqrt(26)\/sqrt(2) + -1 + sqrt(1872)))**2.\nAnswer: 8424*sqrt(13) + 82008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 113, -5\/3, 3\/41?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -2*x + 5*i, 6*x + 3*i + 20 = 7*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483 = -4*k + 3*h, 2*h + 2*h - 236 = -2*k. Is 1\/1 - k\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61477.2 micrograms in kilograms?\nAnswer: 0.0000614772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + -5 - -2 - (18 - 6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 99 = 1. Suppose -l = -2*o - 2. Let w = -10 + o. Which is bigger: w or -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1209509*g**3 - 44*g + 44*g + 1209553*g**3.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - -248. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*c - 5*w, 4*c + 24 = 5*w - w. Let p = -116 + 121. Let i(m) = 6*m**2 + 4*m**3 - 7 - 6*m**3 + p*m + 3*m**3. Give i(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 6*z + 30. Let n be q(9). Suppose -4*g + 403 - 77 = n*k, -3*k = -6. What is the greatest common divisor of 100 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 208*r**2 - 38476*r - 733. Calculate p(185).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4020868157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*j - 3 + 4 = 0, -l - 4*j = -8. Suppose 0 = 2*y - l*y. Is y at most as big as 4\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(270)*-2)\/sqrt(9) + -4*sqrt(120))\/(5*(sqrt(90)*-1 - sqrt(10) - sqrt(90)\/(-2*sqrt(9)))))**2*1.\nAnswer: 48\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**3 - 5*l**3 + 16*l**4 + (16 + 2*l - 8 - 3*l)*(-3*l**3 - 2*l**3 + 2*l**3) to the form y*l + d*l**4 + c*l**2 + r*l**3 + z and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*w - 1789 - 132 - 781 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 7*p**4\/12 - 11*p**3\/3 + 18*p**2. What is the derivative of v(h) wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*2*-2 - sqrt(170)) + 2*sqrt(170)*2)\/(sqrt(20)\/(sqrt(32) + sqrt(2) + sqrt(2))*-4).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176331763?\nAnswer: 71, 157, 105529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-16))\/(39\/(-208)*4)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2807339 by -863.\nAnswer: 3253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.11 - -0.01. What is the second biggest value in 2\/11, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.11 - -28. Let m = r + 0.41. Let s = 7 - 3. What is the nearest to -2\/9 in s, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 - (-15705400)\/60) + 4\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 19*h. Let s(a) = 20*a. Let c be 4\/32 + 686\/(-112). Calculate c*s(z) + 5*y(z).\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v. Suppose m + d = -4 + 3, -4*m + 31 = -3*d. Suppose -35 - 101 = -m*u. Let x(k) = -u + 34 + 5*k. Determine r(x(f)).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 489b - 1c?\nAnswer: 487f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, -0.5, -2\/3 in decreasing order.\nAnswer: 2, -0.4, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 880334513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 659 = 2063. What are the prime factors of i?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = u + 3*y, -y = -10*u + 9*u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5929)*2)\/(sqrt(7) - sqrt(21)\/sqrt(3)*3))**2*-1.\nAnswer: -847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 16 = -5*v. Let h be v\/(-10) - (36\/15 + -4). Suppose 3*a + 5*f = 13328 + 355682, -h*f + 369004 = 3*a. What is a rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 45*d + 46. Let c be a(-14). Solve -c*q - 100 = -92 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 617*k + 136. Let o(v) = -59*v**2. Give m(o(f)).\nAnswer: -36403*f**2 + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 + 110 + -1 + (-1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*u**2 - 123 + 96 - 47*u**2 - 110 + 22*u**2.\nAnswer: -4*u**2 - 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.049 - -68.951. Let q = h - 45. Let w = q - 23.23. Round w to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, -69, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 6 - (3 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 10:55 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/((z\/(z*z**10))\/z))))**(-5\/4) assuming z is positive.\nAnswer: z**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20564731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 522*l.\nAnswer: 522*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(384))\/sqrt(2).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*y + 3*y. Suppose 348*b - 152 = 329*b. Calculate the remainder when y is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 22556, -28, -6 in decreasing order.\nAnswer: 22556, -5, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12876, -12874, -12872, -12870, -12868, -12866?\n\"Answer: 2*q - 12878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2151142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/88281 and -5\/54.\nAnswer: 529686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 = 1. What is the lowest common multiple of w and (13 - 2) + 0 + -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*a*g**2 + a*g*k**3 - a*g*k - 17*g**2*k**3 - 3*g*k**2 - 16*k**3 - 14*k wrt g.\nAnswer: 208*a - 34*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/12 + 0)\/(1335\/4628). Let l = 4.93 + 0.07. Which is the biggest value? (a) z (b) -4 (c) l (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*i + 6, 14 = 2*x + i - 3*i. Suppose -3625 = -4*b + j, x*b + 0*j - 5*j = 3613. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1119)\/2235 + ((-144)\/30)\/(-12). Is c greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimmmmimmmiiim. What is prob of picking 2 m?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/22 + 57*6\/(-297). What is the nearest to 2\/5 in -0.4, -0.21, s?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37908021181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**4\/8 - 137*h**3\/2 + 785*h**2\/8 + 221*h\/2 - 111\/2 = 0.\nAnswer: -111, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954049722?\nAnswer: 2, 31, 47, 61, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**3\/6 - 26*d. Let f(c) = -c + 1. Give 2*f(s) + v(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:12 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-5))\/(8\/(-40)). Suppose 0 = -w*y + 9 - 1. Solve y = 2*f, 5*b + 0*f = f - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(33\/24) - 6\/(-54)*333.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(147) + 0)*-5)**2 - sqrt(147)) + sqrt(108)*1.\nAnswer: -sqrt(3) + 3671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1232230210 + -111?\nAnswer: -1232230321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/12*-1*(-183)\/(-1037)\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 3. Let p be y(4). List the prime factors of p\/(-4) + 525\/12.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60884 divided by 8291?\nAnswer: 60884\/8291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 333857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/56)\/((-3483249)\/120632)\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111000 - -10100001011111100101?\nAnswer: 10100001100101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 0.5, 0.209, -3\/2, -5 in decreasing order.\nAnswer: 0.5, 0.209, -4\/9, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-8))\/((-25)\/20) - (-44)\/20. What is the closest to t in 1\/4, -0.328, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5 - 3483791*x**4 - 6967591*x**3 + 17418959*x**2 + 20902758*x = 0 for x.\nAnswer: -3, -1, 0, 2, 3483793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. What is the greatest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 3*v**2 + v**4)*(-189 + 2374*v + 1865*v + 1133*v + 190).\nAnswer: 5372*v**5 + v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 5*j**2 - j + 36. Suppose -4*n + 4*v + 7 = -17, -3*v = 3*n. Suppose -z + 4 = n*z. Determine i(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {j: 8, n: 4, x: 2, d: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + 16*r + 29. Let d be j(-3). Let i be (-8)\/(-1 + (-1)\/(-2)). Suppose -3*p + d = -i. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/6)\/((-3*5\/(-165))\/1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqqq when four letters picked without replacement from {j: 1, q: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 475.427 litres in millilitres?\nAnswer: 475427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/5)\/((-10)\/8700) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*l**3 - 21*l + 26 - 86*l**3 + 22*l + 15 as z*l**2 + v*l + a + r*l**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-5 - (-5 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -751*l - 707*l - 5 + 2166*l - 710*l. Let x(v) = 5*v + 11. Suppose -b - q = 2, 4*b - q = b - 22. What is b*x(u) - 13*p(u)?\nAnswer: -4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*i + 3*i - 16 = 0, 5*i = 2*y - 32. Let n(d) = 2 - 8*d + y*d - 2. Let v(t) = 5*t**2. What is v(n(q))?\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 773?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1100) + 2*sqrt(1100) + sqrt(1100))*6.\nAnswer: -480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 38*w + 194. Calculate c(8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x = 3, -5*p - x - 31 = 0. Let v be ((-3)\/p - -1)*-2. Is 8 a factor of 0\/(-3) + 43 + v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**6\/75 - h**4\/10 - 2*h**3\/15 - h. Factor l(r).\nAnswer: 2*r*(r - 2)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551 is divided by 689?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 760.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2659?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmpcggggcggjp. Give prob of picking 3 c.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 2:41 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 733?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88)*1)\/sqrt(8) + 1 + sqrt(176) + -2.\nAnswer: -1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*f + 93*f + 262*f + 224*f - 3*f + 2*f + 2*f + (-3 + 2*f + 3)*(2 - 3 + 3) as o*f + w and give o.\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145955\/1547 + -1611\/17. Do 0 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 9. Suppose -2*y + 18 = 2*s + s, 0 = 2*y - 2*s + 2. Find the third derivative of 2*g**6 - y*g**6 - 2*g**2 - g**q wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.3 (c) 46\/5973 (d) -2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 - 15*b + 6. Let u(t) = t**3 + 2*t**2 + 14*t - 4. Give -2*s(f) - 3*u(f).\nAnswer: -3*f**3 - 12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (-1 + sqrt(1573))**2 + 1.\nAnswer: -22*sqrt(13) + 1580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35.2 + -30.2. What is the nearest to 0 in -1.5, w, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((336\/(-315))\/(2\/3))\/(8\/(-43340)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.489 minus -73?\nAnswer: 76.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u + 19 + 92 - 4*u - 4*u in the form f + y*u and give f.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*d - 146*d - 5 = 2*b - 5*b, -26*d - 4*b = -9*b - 99 - 209 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154607 (base 9) to base 15.\nAnswer: -1d35d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*z + a, -a = -z - 9 + 1. Let d be z\/4*(-40)\/12. Solve -5*p + 3*s = 16, -20 = -0*p + p + d*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.07 (b) 0.5 (c) 0.3 (d) 1\/5 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 - 2*h - 4*h**2 + h**2 - 12 - h**3 + h**2. Let s be t(-6). Suppose -2\/5*l**2 + 4\/5*l + s = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -16*z**2 + 7*z**3 - 8*z**3 + z + 5 + 17. What is the least common multiple of 14 and c(-16)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2551\/7 - -365. Let x be (-6)\/4*2\/(-4). Let f = x - 1\/4. Put f, w, -1 in ascending order.\nAnswer: -1, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*k. Is 3*(8 + (k - 2)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1674.62 + -16.38. Let r = -1705.02 - o. What is r rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84749143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 212 - 2\/3*k**3 - 3*k - 5\/2*k**2. Determine g(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 2078*l - 45260. Give a(22).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b, 7*z + b - b = -0*b + 5*b - 238 + 196 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42602805*w**3 - 41522775*w**2 - 1073185*w - 6845 = 0 for w.\nAnswer: -37\/2919, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2, -2*p + s = 4*s + 21. Suppose 2*o - 4*o - 558 = 0. Does 14 divide 3\/(-12) + o\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - h - 30. Is n(-7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k - 16*k + 21*k + 16*k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789891?\nAnswer: 3, 281, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 13*d + 56. Suppose -78*i - 53 = 41*i + 423. Give q(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g**3 - 143*g**2 + 32*g + 430. What is t(-13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:29 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - -22) + 193 + -205.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(2299)*6 - sqrt(2299) - (sqrt(2299) - ((sqrt(2299) - sqrt(2299)*2)*-5 + sqrt(2299))))*6 + 5).\nAnswer: -3168*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -644b - 4d7?\nAnswer: -6944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28091 + 41173. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = -4. Suppose 5 + 15 = z*n. Suppose 0*y = -n*y + 15. Sort 4, -5, y in descending order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59333621 at least as big as -59333621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/4)\/(o*o**(-3\/11))*(o**(-8)\/o)\/o**(3\/31) assuming o is positive.\nAnswer: o**(-11695\/1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n + 3. Let o(q) = -q**2 + 5*q + 4. Let x be o(5). Suppose 0 = 2*j - 0*y - 5*y - 3, -2*j + 4*y + x = 0. Suppose w = -w - j. Calculate m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/10 (b) -373 (c) 1\/2 (d) 1.4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2530 is divided by 2497.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**3 + 4*c - 3. Let h = -4 + 9. Suppose -3*k + h = -1. Is p(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7319\/4 - 4193519\/2292. Calculate the common denominator of y and 59\/15.\nAnswer: 2865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 4*u + 57, -3*j - 2*j + u - 118 = -0*j for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -24 - (-3 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + -3. What is the remainder when (-5)\/(s\/234) + 3 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 - 343\/5. What is the nearest to b in 0.4, 7, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzp when three letters picked without replacement from {j: 4, p: 1, t: 2, z: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 4*x**4 - 8*x**3 - 1380 + 0*x**4 - 5*x**4 + 3*x**2 + 0*x**3 + 1381 as r*x**3 + k*x**4 + v*x**2 + d + c*x and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928 - 465 - 463 + 3*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 107845 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: Let r(j) = 90*j**2 + 16*j - 8. Let x be 1*35\/(-21)*-3*1. Let f be r(x). Let d = -23239\/10 + f. Calculate the common denominator of d and -81\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625227528 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2430) + sqrt(2430)*1*-3 + sqrt(2430))\/(sqrt(24)\/(4*sqrt(4)*1))*5.\nAnswer: -180*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) 34 (c) -0.0649 (d) -2\/5 (e) 2\/11 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155296488*y**4 - 529843136*y**2 wrt y.\nAnswer: -3727115712*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1089047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:42 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 33. Let z(o) = o - 5. Let s be 6 + ((-2)\/(-1) - 1). Let i be z(s). Is i less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 104658?\nAnswer: 523290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**6\/120 - p**5\/15 + p**4\/12 + p**3\/6 + 3*p**2. Let n = -3 - 1. Let j = -2 - n. Calculate k(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485119490 rounded to the nearest one million?\nAnswer: 485000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*c + 5002 - 36367 = -689*c for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -98784192 and 31.25?\nAnswer: 98784223.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 195 - 3?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44910 and 34746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3908\/6 + ((-319)\/(-33) - 9) is divided by 66?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7813?\nAnswer: 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 39*n**2 + 1. Let d(g) be the first derivative of -2 + 11*g**2 + 7*g**2 + 37 - 19*g**2. Give d(x(b)).\nAnswer: -78*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2 + 4. Suppose -5*f + 3*p = -8 - 4, 4*f - 5*p = 20. Find the third derivative of i**2 - 2*i**3 + f*i**z + i**2 wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 + c - 15. Let z be l(6). Let o be (-108)\/z*(-6 + 1). Solve 9*g = 5*g + o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**3 - 9*g**2 - 35*g + 121. Suppose 5*k - 704 = 4*w - w, -3*w - 9 = 0. What is the remainder when k is divided by z(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204)\/sqrt(300)*-3 - (-2 + 2*sqrt(51)\/sqrt(3)))*3 + -1 + 1)*1)**2.\nAnswer: -468*sqrt(17)\/5 + 26757\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-132))\/(8\/(744\/(-155))).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288765999 is divided by 500.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + ((-9882)\/90)\/((-3)\/10). Let a = 118 + i. What are the prime factors of a?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 6) to base 8\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p - 10. Let j be u(7). List the prime factors of j\/(-3) - (-3)\/(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -237*i + 3946. Let p be o(15). What is the greatest common divisor of p and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 l, 1 a, and 1 d when four letters picked without replacement from {a: 1, d: 1, l: 1, k: 1, c: 1, x: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 = 2. Let c(w) = -95*w**3 - 2*w - 1. Is c(x) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 8*s - 30. Let q(g) = g**2 + 5*g + 22. Let u be q(0). Suppose 0 = -t + s*p + u, 5 = -2*t - 2*p + 1. What is the remainder when 10 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72977.\nAnswer: 72977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - v + 1. Let s be a(-2). Suppose -9 = -5*f - 3*z, 4 = f + 4*z - 8. Suppose f*p = -s*p + 44. Solve 20 = j + p*u, 5 - 13 = -4*j + 2*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -14*j + 3 - 6 + j - 6. Let c be x(-1). Let k(w) = -w**3 - 6*w**2 - 5*w + 3. Let m be k(-6). Solve c*s + 13 = m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -91 + 69. Put n, -1, 25 in decreasing order.\nAnswer: 25, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 6*n**2 + 3*n. What is i(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3096877426 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaataaaaaaa. Give prob of picking 1 t and 3 a.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 751. Let s(b) = -b**2. What is s(u(f))?\nAnswer: -f**4 + 1502*f**2 - 564001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 11:09 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 11.\nAnswer: 29\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 6.4847857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 + 1. Let l(g) = -g**2 + 1. Let j(y) = -y + 4. Let b be j(0). Let t(d) = b*r(d) - 10*l(d). Find the first derivative of t(v) wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q = 22*q + 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b - 4. Let y(z) = -7*z - 5. Let h(l) = -6*r(l) + 5*y(l). Let o be 1128\/(-21) + 12\/(-42). Let v be 14\/12 - (-9)\/o. Determine h(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**4\/30 - 4646*n**3\/15 + 5396329*n**2\/5 + 8012*n. Let v(i) = 0. Calculate i.\nAnswer: 2323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + y - 3)*(0 + 2 - 3) - 35 + 41*y + 35 + (-1 + 0 + 2)*(-3*y + 2*y + 2*y) to w + i*y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.9 - 28.\nAnswer: -33.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*r - 4504805 = -0*i, -4504799 = i - 2*r. Suppose 11656708 = -3*c + 37771087. Let w = i + c. Round w to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 24. Let m be (-4)\/6 + h\/(-3). Suppose 2*x = -m*x. Let i(q) = -q + 2. What is i(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -86, -111, -116, -95, -42, 49?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 37 = -38 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 10.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 2:32 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 43, 0.2, 0.28, 2\/285?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 6:16 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - -2) + 8 - (1 + -1)) + 13\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4694043*y**3 + y**2 - 15851409*y wrt y?\nAnswer: -28164258*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/10)\/((-3)\/(-225)). Let p = 20 + -3. Let j = u - p. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*t + 2, 2*t = 2*o + 3*t + 2. Let u be ((o - -1)*1)\/(-1). Let z be ((-2)\/(-9))\/(1 - 0). Is u >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 20. Let n = 0.09 - -4.91. Sort w, n, 0 in descending order.\nAnswer: n, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 7. Suppose -i - 32 + u = 5*s, -4*s - 30 = 5*i. Let h be (-19 + s)*(-2)\/3. Solve -3*m + h = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 6:58 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7506 and 20903376?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/66)\/((-129)\/(-8041))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225 is divided by 278.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950*x + 39284 = 96*x for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -1. Suppose 2*g = 5*i - 17, 0 = 3*i - 0*i - 2*g - v. Calculate the remainder when i is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Let t = -4 - 1. Sort a, t, 2 in ascending order.\nAnswer: t, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2 + 3*p - 9\/2*p**2 - 1\/4*p**4 - 3*p**3. What is the remainder when 20 is divided by y(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - 4) + 12 + (-11 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 56277*g**2 - 58*g - 54. Is f(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - 40*g + 12 = -2*l, -3*g + 5*l = -16. Factor -9\/2*r**3 + 2*r + 9\/2*r**g - 2.\nAnswer: -(r - 1)*(3*r - 2)*(3*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3446701 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14719 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13 + -7)\/(3\/(-2)). Let t(v) = -v. Let a(s) = s**3 + 3*s**2 + s + 2. Let p be a(-3). Let x(h) = -h**3 + 2*h. Determine k*t(b) + p*x(b).\nAnswer: b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 51, 142, 275, 450, 667, 926?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 3)*33\/(-2079).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 545 - 204. What is the greatest common factor of 88 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 4:20 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46405, -46293, -46181?\n\"Answer: 112*f - 46517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 - 11*q**2 + 7*q**3 + 2 + 5*q + 15*q - 2*q**3 - 10*q. Give w(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k**2 - 11*k - 9. Let b(p) = -5*p**2 - 6*p - 5. Let u(r) = -11*b(r) + 6*n(r). Let q(s) = 2*s**3 - 2*s**2 + s - 2. What is q(i) + 2*u(i)?\nAnswer: 2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.98 + 0.02. Suppose 36 = 9*o - 5*o. Let g = 10 - o. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q. Let c(x) = 62*x + 984. Give z(c(b)).\nAnswer: -496*b - 7872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h + 484 = 34. Suppose 0 = 12*z + 47 + h. Let p(i) = -i + 1. Let a(y) = -4*y**2 + 4*y - 4. What is z*p(g) - a(g)?\nAnswer: 4*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 2*k**2 + k + 2. Suppose -3*h = -4*h + 3*o + 9, 3*o = -12. Let d(m) = m**3 - 3*m**2 - m - 3. Let i(x) = h*j(x) - 2*d(x). Factor i(t).\nAnswer: t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + (sqrt(1216) - 1*sqrt(1216)))**2*6 + ((sqrt(171) - sqrt(171)*1 - sqrt(171))\/sqrt(9) - (sqrt(19)*-2 + sqrt(19) + 0)**2) + 1.\nAnswer: -12 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -12*f. Which is the third smallest value? (a) f (b) 1\/4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -14*r**2 + 2228*r - 318 = 0.\nAnswer: 1\/7, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/595 - (-2072)\/17. Suppose -b + 42 = -16*k. Solve o = k*t - o + 3, -3*o = -12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, -5, -5\/4, -0.169523 in ascending order.\nAnswer: -5, -2, -5\/4, -0.169523, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 60.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -663746361*l**3*v**5 + l**3 + 15*l*v - 1116*l - 39*v wrt v?\nAnswer: -13274927220*l**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - (6 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 745 or 754?\nAnswer: 754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:08 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 69?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29549 is divided by 78?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.43 and 304817385.\nAnswer: 304817389.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0788015, -2, 2 in decreasing order.\nAnswer: 2, 0.0788015, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:30 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -3*v, -4*d - 2*v - v - 31 = 0. Let q be ((-20)\/36 + 1)\/(166\/(-3)). Let f = q - -176\/1245. What is the closest to d in -5, f, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69808.\nAnswer: 2, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*y - 1518 = 3814 - 964 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78565135 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13378367357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30200233 (base 5) to base 13\nAnswer: -8572b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 + 45337477*y. Let s(n) = -n. Give s(o(f)).\nAnswer: -4*f**2 - 45337477*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.1802\nAnswer: -0.7208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + 2 + 1 + -3 - (42 - (134 + -92)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from effffffefeeffffffeff?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*d - 33*d = 264. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-7)\/w*w**(-3\/4)\/w)**(1\/40) assuming w is positive.\nAnswer: w**(-7\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23015461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, g: 2, z: 6, b: 3, n: 2}. What is prob of picking 3 b?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 12:18 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 41.993. What is x rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 354 = 420 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*r - 19. Let m(h) be the third derivative of -h**5\/60 + h**4\/6 + 5*h**3\/6 - 9*h**2. Let w be m(r). Solve p + 0 = w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 140 and -14432.\nAnswer: -2020480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56*t**4 - 19*t**3 + 1440?\nAnswer: -224*t**3 - 57*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 0*n**3 + 1\/24*n**4 + 0 + 0*n**5 - 4*n**2 - 1\/112*n**8 + 0*n**7 + 0*n + 0*n**6. Find the second derivative of v(x) wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/3066 and 13\/532696549.\nAnswer: 3196179294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -72\/5*x + 147\/5*x**3 - 63\/5*x**2 - 12\/5 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.58, -0.004, -1\/4, 3\/5 in descending order.\nAnswer: 3\/5, 0.58, 0.2, -0.004, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (3 + 11 + (26 - 29))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 4*o - 2. Let u be d(-5). Let z be (-2)\/u*18\/20. Is -2\/9 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1670007 divided by 1\nAnswer: 1670007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 4\/(-7 + 1*45895\/6555)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + z**2 - 2*z. Let t be h(-2). Suppose t = 4*y + 3*j + 1, 4*y + 3*j + 3 = 2*j. Let b be (1\/3)\/((-2)\/(60\/y)). Is 10 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -82*i**2 + 4*i + 197. Let k(w) = -80*w**2 + 5*w + 197. Let z(v) = -4*k(v) + 5*y(v). Differentiate z(h) with respect to h.\nAnswer: -180*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -10. Suppose 2*c - 3*c = n. Factor 25\/2*z**3 + c + 1\/2*z - 5*z**2.\nAnswer: z*(5*z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 1)*8\/48*873.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Let v = 4 - g. Determine q, given that 5*q**2 + 1 - 2 - 4*q**v = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*b = -14, 0*b = 3*m - 2*b - 19. Suppose 45*r - 15*r = 780. Suppose -10*x + r + 34 = 0. Solve -m*z + z = x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -511400 to the nearest 10000.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 212*r + 0*r**2 - 1\/2*r**3 + 0. Let x(h) = -h**2 - h + 1. Let l(u) = u**2 - u + 1. Let t(k) = l(k) - x(k). Give b(t(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*l**2 + 1174851568*l + 21566815731750916.\nAnswer: 4*(2*l + 73428223)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109746 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2880716 (base 10) in base 2?\nAnswer: -1010111111010011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.099 + 0.029. Which is the closest to 0? (a) g (b) 5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - -356 - 5)\/1. Suppose 0 = 5*a + 2*o - 460, o = 2*a + 2*a - g. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16))**(1\/6) assuming w is positive.\nAnswer: w**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(25\/24)*((-2560)\/(-12))\/(-32)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2))**(7\/5)*m*m**(4\/7)*m**(2\/11)\/m)\/((m**(2\/5))**(-3\/32)\/(m**(-1))**30) assuming m is positive.\nAnswer: m**(-184241\/6160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 19*f - 12. Let y be q(9). List the prime factors of (3 - (-62)\/(-6))*y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 + -29 + 27 + 20 + 11\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1343448 and 64620?\nAnswer: 2411489160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -440102 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 10:23 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:07 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -642, 9, -487 in ascending order.\nAnswer: -642, -487, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.092, 0.2, 1\/2, 5743, -3, -5, 0?\nAnswer: 5743","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6678918422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 55.07. Let x = -301 - -2113\/7. Put -2, x, q in increasing order.\nAnswer: -2, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*j**2 + 7*j**2 - 13*j**2)*(-22*j**2 + 71 - 71 + (4*j - 3*j + 0*j)*(0*j + 2*j + 0*j))*(0 + 2 + 0) to q + y*j**3 + m*j + h*j**4 + a*j**2 and give h.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12*k**3 + 4*k**2 + 4*k - 9. Determine g(2).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -27652050?\nAnswer: -27652053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b - 1. What is the remainder when y(6) is divided by 63\/(-18) + (-75)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/6152085 and -1\/25?\nAnswer: 30760425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35351 (base 6) in base 16?\nAnswer: 13f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.2464136 rounded to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/5)*d*d**9*(d\/d**(-3))**(2\/17) assuming d is positive.\nAnswer: d**(924\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c + 6*c - 6*c + 11*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24982, -49961, -74938, -99913, -124886, -149857?\nAnswer: -174826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -86\/7*s**3 - 330\/7*s**2 + 125\/7 + 13\/7*s**4 + 275\/7*s + 3\/7*s**5 = 0.\nAnswer: -5, -1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98022293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 3*n**2 + 7*n**2 + (n - 4*n + 5*n)*(3*n + 0*n - 5*n) + n**2 - n**2 - 2*n**2)*(-775 - 23*n - 34*n + 86*n - 28*n).\nAnswer: -n**3 + 775*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0901 less than -3?\nAnswer: -2.9099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105\/2 + 66. Let s = 3735 + -44765\/12. What is the common denominator of s and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.9155364 milliseconds in weeks?\nAnswer: 0.000000155283625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5530971 and 5751?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/174084741 and -88\/2613885.\nAnswer: 870423705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/11, 3, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6877 - 6848 + 13725 - 8*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-165) - (-116)\/30. Suppose 12 = -w + u*w. Solve -a - w = 0, 0*z + 4*a = z - 17 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 7*a - 16. Suppose 3*t + 191 = 4*h, 5*h + 5*t = a*h + 42. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 + 4 - 9)*(-5*y + 840*y**4 + 13 + 2*y - 838*y**4).\nAnswer: 90*y**4 - 135*y + 585","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2. Let m(p) = 5*p. Let c(r) = -4*r. Let a(q) = 4*c(q) + 3*m(q). Give b(a(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**4 - 395*f**3 + 27755*f**2 + 85955*f + 57810 = 0?\nAnswer: -123, -2, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -1\/2 (c) -13 (d) -2 (e) -1 (f) 2\/161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -n - l, l - 8 = -n - n. Suppose n*b = -3*b + 20. Let y(g) = g**2 + 3. Let d be y(-5). What is the highest common divisor of b and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1283 + 1284 + 221*j + 154*j)*(-2*j**2 - 3*j**2 + j**2).\nAnswer: -1500*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -409 or -410?\nAnswer: -409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 450 + -462. Let x be 4*(6 + -9)\/h. Sort -13\/4, x, -3\/7 in decreasing order.\nAnswer: x, -3\/7, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040455 to 4 decimal places.\nAnswer: -0.0405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r + 0*r)*(0*r + 0*r + 2*r**4 + (-r - 4 + 4)*(3*r**3 - 7*r**3 + 3*r**3) + 2*r**4 - 4*r**4 + 3*r**4 + 2*r**4 - 4*r**4 + 0*r**4).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22508.129 times 7?\nAnswer: -157556.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + c - 66, -4*n = -4*c + 2*c - 264. Calculate the remainder when 326 is divided by n.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -h. Find the third derivative of -r**h + 3*r**3 - 2*r**3 + 0*r**3 - 2*r**3 wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**2 + s + 1. Let h be j(-1). Suppose 2*i - f - 11 = -i, 2*i = -f + h. Calculate the greatest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + 4*(0 + sqrt(176))**2*2*-5*3 + -3.\nAnswer: -21126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46265.\nAnswer: 5, 19, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Suppose -c = 4*n - 4*x, n + 13 = 3*x + 2*x. Solve 5*r + 0*o = -5*o + 5, -2*o - n = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**4 + 2*k**3*u + 25323*k*u - 123199*u with respect to k.\nAnswer: 12*k**3 + 6*k**2*u + 25323*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*n + m = 186*n + 23, 5*n = -2*m - 29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*n + 18 - 21, 2*y + 23 = -5*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 - 2*m**2 + 8*m**2 + (5 - 2 - 2)*(0 - 2*m**2 + 0) - 2*m**2 + 0*m**2 - 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*v + 2*v**2 - 1 + 55*v + 0 to the form p*v + x*v**2 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(441)*2)\/sqrt(7))\/(sqrt(9) - ((sqrt(9) - sqrt(27)\/(2*sqrt(3))) + sqrt(9) - sqrt(9))) - (sqrt(21)\/(sqrt(12)\/sqrt(4))*-1)**2*-6).\nAnswer: 4*sqrt(7) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1902 times -259084?\nAnswer: 49277.7768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -40 - g**3 - 14*g - 14*g**2 - 38 + 71. Calculate t(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4025704 is divided by 270.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(0 + -3 + 2). Suppose 1 + 2 = -a*r + 3*c, -2*c + 34 = 4*r. Let m be (r + -7)\/(2\/(-4)). Sort m, -4, -3 in ascending order.\nAnswer: -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9945.095 centuries to years.\nAnswer: 994509.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 139175*h**4 - 278522?\nAnswer: 556700*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-9)\/210)\/((-6)\/(-8))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (0 + sqrt(832))) + -1 + sqrt(832) + 1 + -2 - (-3 + (sqrt(13) - -1*sqrt(13)) + sqrt(325)*-1)*-4)**2.\nAnswer: 112*sqrt(13) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 52 times -263.5\nAnswer: -13702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(19) + -2)**2 + -2.\nAnswer: 4*sqrt(19) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27*(-7)\/(-84) + (-2)\/8. Calculate the remainder when 102 is divided by (-848)\/(-40) + y\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 20 = -0. Let a = -4 - v. Put a, -4, 5 in descending order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(2 + -12) + (-31)\/(-11)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -4*l - 10, -1251*l = 2*x - 1254*l - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*v**2 + 59042 - 2*v - 59042 - 1164*v**2.\nAnswer: -1262*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(294)*2 - sqrt(294) - sqrt(294)) + sqrt(294))\/(sqrt(72)\/sqrt(4))*-5*6)**2.\nAnswer: 14700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 26. Let y = 12 - 12. Give b(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 6*v**2 - 3*v - 3. Let u(o) = 0*o**2 + o**2 - 6 + o**3 - 2*o**2. Let x be u(0). What is the remainder when s(x) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105739 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*f - 72296, 4*w = -5*f + 39134 + 18701. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0.05666.\nAnswer: 7.05666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 64. Is v a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169197 = 2*y + u + 2*u, y + 4*u = 84596. Suppose 100*s + y = 102*s. Round s to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 + -59. Suppose -2*m - j = -2*s, 4*s - 39 = -3*m + 45. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 2. Let l(t) = 6*t**2 - t - 4. Let n be l(v). Let w = n - 63. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from ztttpptzzeeesezt.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69.22 - -69. Let n = -10.12 - w. Let b = n - -9.8. Which is smaller: 0.03 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 7*b - 10. Let o be i(-9). Solve 4*x = -k - 12 - o, x = 4*k - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-1) - (-2 + 1). Let a = 133152 - 133177. Is q >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -871, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t - 5. Let z(n) = -7*n - 9. Let a = -25 - -30. What is a*h(l) - 3*z(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10*o**3 + 6*o**2 + 8*o + 13. What is a(-2)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.17 - -0.17. Let m = 50 + f. Let q = m - 39.2. What is q rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8121351 by 1160193.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 79. Suppose -5*k + 3*i + i = -4, 5 = 5*k - 5*i. Is r(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3478*c**2*u**3 - 8*c**2*u + 2*c - 2*u**4 - 42*u**2 + 6953*u - 6 wrt u.\nAnswer: 20868*c**2*u - 24*u**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000240061 to five dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1505 = -5*v + 7*x + 1310, 4*x = 5*v + 120 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (291\/(-3) + 9)\/(1*-1). Suppose 3*b - 136 = -u. Solve 5*p - b = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110015693.\nAnswer: 23, 4783291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*h + 45 = 0, -3015*u + 3008*u = -2*h - 55 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -74525628 * 4\nAnswer: -298102512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/5)\/g**(-1\/2)*(g**2)**(-5)*g\/((g*g\/(g\/g**(5\/3)))\/g)*g**(-7)*(g\/g**6*g)\/g**(-8) assuming g is positive.\nAnswer: g**(-389\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 18.9\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1932379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*n + 4. Let s = -0.5 + 0.6. Let x = 4.1 - s. What is the second biggest value in n, x, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2418 is divided by 128.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 2*w - 2*w)*(-2 - 8 + w - 3)*(-2 + 2 - 2*w) + (-4*w + 0*w + 2*w)*(4*w**2 - 5*w**2 - w**2) to the form n + r*w**3 + g*w + k*w**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10416113.\nAnswer: 10416113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2593 - 2597 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3109428 + -4900026. Let z = q - -8009515.000464. Let v = -61 + z. Round v to 5 decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nniininn. What is prob of picking 1 n and 2 i?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 12 + (6 + (-26 - -30) - (-2 - -47)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*p + 2*p - 3*p)*(4 - 3 - 3) + 0*p + 0*p - 3*p)*(8556*p + 19347431 - 19347431) to the form g*p**2 + c + z*p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5060 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146570516?\nAnswer: 2, 829, 44201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80681, -80673, -80651, -80609, -80541, -80441, -80303?\n\"Answer: v**3 + v**2 - 2*v - 80681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1606\/7 + 230. Let o = -262\/3 - -88. Let m = -12 + 7. Which is the closest to 0? (a) m (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -155 - -347. Suppose -s = -r + 23. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b51 - -119?\nAnswer: 306a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165507030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i - 40. Let x be (-9)\/6 + i\/4. Let l = -8 + 8. Put 2, x, l in ascending order.\nAnswer: l, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*w = 8, -3*s + 2*w = -3*w + 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 8:38 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -2*v + 28, 4*v + 10*f = 6*f + 36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17520000 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*t - 155*t + 44*t = -15316459. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -30, 1\/4 in increasing order.\nAnswer: -30, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -15*a - 56. Let t(u) = 3*u + 11. What is 2*k(d) + 11*t(d)?\nAnswer: 3*d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 26*c**2 - c + c - c - 27*c**2 - 6*c**3. Calculate h(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256)*-4 + (sqrt(400) - sqrt(400)*1) + sqrt(16))\/(sqrt(512)\/sqrt(4) - (sqrt(2352)\/sqrt(6) + sqrt(8) + sqrt(8))))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t = -2474*t + 132*t + 101437 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 148759 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/12 - 27\/(-12). Let m be ((-1)\/4)\/(2\/(-40)). Suppose -u + 39 = -4*l, -l + 94 = x*u - m*l. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 r when three letters picked without replacement from rwkrrkkw.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1523*o**3 + 723*o**3 + 884*o**3.\nAnswer: 84*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27945)\/6831*(3 + 124\/(-12)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 3*j + 2. Let c be (-2)\/(-8) + 94\/8. Suppose -c = 3*g - 6*g. Let o be (-2)\/(-8) - (-11)\/g. Calculate t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/263302 and 97\/15548?\nAnswer: 12111892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 50a (base 15) to base 14\nAnswer: 5b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 7:50 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by ((-1)\/2)\/((-27)\/378).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1053991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, -0.64 in decreasing order.\nAnswer: 4, 1\/3, -0.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.78 - -158.22. Let m = p - 161.5. Let z = -39 + 196\/5. Which is the closest to z? (a) -4 (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2676)\/2007)\/((-7)\/(-84))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2418420 and 3570?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -22)*2\/(-16)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107\/572 - -5\/52. Suppose -5*v = -8*v. Which is the biggest value? (a) v (b) m (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (270\/(-3))\/(-3)*-1. Let k be (z\/120)\/((-1)\/8). Solve r = 3*g - 0*g - 17, k*r = 3*g - 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 19 = 5*y, -2*y + 8*d - 3*d = -26. Solve -y*l = 2*b + l + 22, 0 = -2*b - 5*l - 26 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881716 + 30\/4*(-54)\/(-135) + -8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 5, 9, -286, 4 in ascending order.\nAnswer: -286, -5, 0, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1119*d + 48226 + 17795 = 0 for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31456016?\nAnswer: 2, 283, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -411*d**6\/10 - 5425*d**3\/6 + 4860*d. What is the second derivative of b(a) wrt a?\nAnswer: -14796*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2167 - -46a?\nAnswer: -1bec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -294\/967 + -2313\/1934. Let q = -1 - -0.6. Which is the nearest to q? (a) g (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 296408707.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 340*j + 2403. Give h(7).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4050 + 1422?\nAnswer: 5512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**4\/6 + 4231*x**3\/6 + 124467*x**2\/2 + 719547*x\/2 + 69471 = 0.\nAnswer: -747, -93, -6, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35.019 - -35. Let o = h - -112.019. Let r = o + -111.9937. What is r rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**3\/21 - 23*v**2\/14 - 18*v + 1143. Let t(x) = 0. Calculate x.\nAnswer: -14, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkxhkhkkhkxxhk. What is prob of sequence kxx?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 9)\/(15\/(-10)). Let b be (3799\/2)\/((q\/(-2868))\/(-1)). Let t = 2107961 + b. Round t to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-106)\/(-6) + (-4)\/(-12). Let t be 0*3*3\/k. Solve t = 3*d - d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 + c**2)*(-31348 - 2167*c + 15673 + 15672).\nAnswer: -2167*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -1 (c) 6440\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Let q(a) = -62*a + 1. Let j(y) = 186*y - 3. Let t(h) = 3*j(h) + 8*q(h). Is t(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-48)\/30)\/(2\/5). Let g = t - -3. What are the prime factors of g - (4 - 28) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 1\/60*z**6 + 0 - 2*z**2 - 1\/24*z**4 + 2*z**3 + 0*z - 1\/20*z**5. What is the second derivative of h(c) wrt c?\nAnswer: 12*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11122 - -11135. Calculate the remainder when 8212 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) - -1*(sqrt(242) - sqrt(242)*-1))) + sqrt(242) + 5)**2.\nAnswer: -110*sqrt(2) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from ttttnttn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d**3 + 309*d + 12 + 11 - 15*d**3 - 3*d**4 - 22 in the form k*d**2 + v*d**3 + b + q*d**4 + y*d and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 + -1 - -13) + 93 + -71.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748 - 112 = 12*k. What is the remainder when 154 is divided by k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 1. Let p(s) = s**2 + s**2 - 19*s - 3*s**2 - 3*s**2 + 3*s**2 + 29. Let i(u) = p(u) + 6*r(u). Give i(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/791 - 117867\/3164. Suppose k + 17 = -5*f, 156 = 13*k - 17*k + 2*f. Is k greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s = 112*s + 1699 + 220 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -3*v. Let o be (50\/(-30))\/(v\/(-1158)). Suppose -2*u = 5*q - 838, -o = -3*u + 5*q - 673. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Let y = 1.1 - s. Let g be 4\/(-18)*(-6)\/(-8). Which is the closest to -1\/4? (a) 0 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2199 at most as big as -2199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1578*h + 49450 = -3099*h - 5390*h - 12749 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - -15. Calculate the greatest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/6550 and 121\/2767320.\nAnswer: 1812594600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 3149?\nAnswer: 3157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = -1. Let r be ((-27)\/12 - 0) + g. Sort r, 5, 3 in ascending order.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Suppose -3*u - 2*u + 25 = l. Suppose -u*q + q = -60. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 1410.\nAnswer: 11\/1410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) + (-136)\/(-10). Suppose 4*y + y = 2*l, -3*y = -4*l - v. Let u be (-2)\/(-6) + 2\/(-6). What is the smallest value in l, u, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 5.4. Let a = -0.017 + 0.797. Let u = 6.78 - a. What is the nearest to u in q, 2\/11, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (-36)\/198 - (-26140)\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*g, z + 0 = g - 3. Let n = 3 + z. Suppose -h + 1 + n = 0, 3*p - h - 98 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85750276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 12. Let o = 147 - 143. Suppose -k + 6*k + 7 = -4*w, -4*k - o = 4*w. Put 3, k, u, -4 in descending order.\nAnswer: u, 3, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10*z**3 - 3*z**2 + 40*z + 4. Let x(q) = -q**3 - q**2 - q + 1. Let r(b) = n(b) - 4*x(b). Find the second derivative of r(y) wrt y.\nAnswer: -36*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 21. Let t be j(-11). Let s = -6 - t. Suppose -3*d - 4*u + 2*u = -1477, 0 = s*d - u - 1962. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-25*v**2 + 31 - 31)*(-2 + 1 + 0) - v**2 + 0*v**2 - v**2)*(3*v - 5*v + 3*v).\nAnswer: 23*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6085?\nAnswer: 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**2 + 18107000*b - 90535125 = 0?\nAnswer: -3621405, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596820.\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/43 in 11, 4\/7, 3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 350 = 5*y, -y + 5*y - 4*w - 244 = 0. What is the smallest common multiple of 11 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**3 - 10*y**2 - 7. Let c(n) = n**3 - 3*n**2 - 2. Let i(f) = -7*c(f) + 2*p(f). Let s be i(0). Sort -1, s, 2 in increasing order.\nAnswer: -1, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*f + 101*f - 21 = 0. Let l(a) be the second derivative of 9\/2*a**2 - 1\/4*a**4 + 0 + 5*a + a**f. What is i in l(i) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -41*z**3 - 6*z**2 + 3*z + 42. Let y(p) = -74*p**3 - 8*p**2 + 4*p + 43. Determine -4*r(k) + 3*y(k).\nAnswer: -58*k**3 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400 and 86600?\nAnswer: 173200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2646692g in tonnes?\nAnswer: 0.0000002646692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = 4*g - 2, -5*r = -10. Let v be (g\/6*-51)\/((-3)\/6). Let i be (-2839)\/v*(-2)\/4*-4. What is i rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56236*j**3 - 114787*j**2 wrt j.\nAnswer: 337416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 6*k**2 + 6*k - 6. Let y be u(-7). Let f be 2*-2*y\/2. Is f*(-15)\/6 - 3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 92, -0.2, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22173256*c - 825861 wrt c?\nAnswer: -22173256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2 + 8*h - 5. Let q(g) = 3*g**2 - 4*g + 3. Let x(t) = -2*p(t) - 5*q(t). Determine x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 8*p**2 - p - 11. Suppose l = -2 - 6. Let w be q(l). Let u = 236 - 231. Which is the nearest to -2? (a) u (b) -1\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 173478.83.\nAnswer: -69391.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**3\/3 - 162*n**2 - 4*n + 9. Let p(r) = r. What is p(m(g))?\nAnswer: -2*g - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 6, -2\/35, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.37 in 49, 0, 0.2, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 210 = -22*u. Factor 108 + u*a**3 + 34*a + 33*a**2 + 52*a + 17*a**3 - 29*a**3 + 22*a.\nAnswer: 3*(a + 2)*(a + 3)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9362888ml to litres.\nAnswer: 0.0009362888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74982.\nAnswer: 2, 3, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 267, 543, 819?\n\"Answer: 276*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -786157*b**3 - 303*b**2 - 367019233*b.\nAnswer: -4716942*b - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2. Let s(y) be the third derivative of -y**8\/2240 + y**5\/10 + 10*y**2. Let q(x) be the third derivative of s(x). Give q(o(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f - 2. Let c(y) = -6*y. Let r(w) = 20*w. Let u(k) = 5*c(k) + r(k). Determine u(p(g)).\nAnswer: -80*g + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 8. Let x = -60 - w. Let r = x + 39. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90454 is divided by 289?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29879023 to the power of 1\/2, to the nearest integer?\nAnswer: 5466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2573813 or 2573815?\nAnswer: 2573815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 8*y**2 - 21*y + 5. What is q(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-7.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -27. Which is the closest to -0.1? (a) 2 (b) j (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.5326ml to litres.\nAnswer: 0.0095326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 1331*r**7\/21 + 1936*r**6\/15 + 11*r**5\/10 - 235*r**4\/3 + 116*r**3\/3 - 8*r**2 + 10*r + 1. Factor d(n).\nAnswer: 2*(n + 1)**2*(11*n - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3 = 3*j. Let s be 1 - (-1055)\/7 - j. Let l = -151 + s. Sort -5, 2\/3, l in descending order.\nAnswer: 2\/3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302 (base 11) to base 6.\nAnswer: -1405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 115393856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 364 + -366. Let k be (x\/(-45))\/(39\/(-195)). What is the fourth biggest value in 1\/3, k, -0.3, -0.063?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*h = -41*h + 28*h - 2795 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 35*y - 23. Let g = 430 - 410. What are the prime factors of s(g)?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2290*y**3 - y**2 + 495*y wrt y.\nAnswer: -13740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 188*o**3 + 5*o**2 - 15*o + 13. What is the units digit of i(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c = 13*c + 1080. What is the highest common divisor of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46253.\nAnswer: 23, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11*i**2 - 15. Let w(f) = 5*f**2 - 7. Let u(h) = -7*w(h) + 3*z(h). Let g(c) = 2*c**2 + c - 5. Determine -2*g(s) - 3*u(s).\nAnswer: 2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(45)\/(sqrt(9) - (sqrt(9) - (4*sqrt(144) + sqrt(9)))))**2 + 5 - ((sqrt(30) + sqrt(120)\/(sqrt(4) - 2*sqrt(4)))\/(sqrt(36)\/sqrt(54)))**2) + 5.\nAnswer: 1450\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27148167?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p + 58. Let x(u) = u - 7. Let o be x(0). Calculate the remainder when -1*o*(3 + -2) is divided by t(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*v - 0*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 65 - 65 - (4 + -29). Solve 21*o - c = 16*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642207 (base 9) in base 16?\nAnswer: 5d4d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 25. Suppose 4*q = 3*q + j. Let s = q - -1. Which is bigger: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(2\/3)*x))**(-2\/11)\/(((x\/x**(3\/8))\/x*x)\/(x**14*x)))**(-20) assuming x is positive.\nAnswer: x**(-19375\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/9 + 176*u**4\/3 + 30796*u**3\/9 - 558256*u**2\/9 - 402266*u\/3 - 618272\/9 = 0.\nAnswer: -139, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28840\/2975)\/103)\/(15\/(-75)).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 + -8 + 119 - -6)*86?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a + 29\/5*a**3 + 0 + 1\/5*a**4 + 0*a**2.\nAnswer: a**3*(a + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*i = -16, -40 + 2754 = 811*r - 510*r - i for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 388*r**2 - 11396*r + 712. Give b(36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2917 less than or equal to -2914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -955383 or -955381?\nAnswer: -955381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwii when four letters picked without replacement from {w: 6, i: 13}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**4\/54 + 236*l**3\/27 - 235*l**2\/9 + 10*l - 3. Factor g(n).\nAnswer: -2*(n - 235)*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496378840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944180?\nAnswer: 2, 3, 5, 7, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 393 + -387. Solve h - y = -2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 + (-516)\/42. Let i(m) = -m**3 - 12*m**2 + 16. Let p be i(d). Solve s + 3*s = p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3224674.\nAnswer: 2, 809, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-90) - (-2)\/(-5). Let j = 53.4 + -47. Let a = j + -6. What is the third smallest value in a, -3, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/5, 5, 2\/13, 4, 2\/67?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(612) + sqrt(612) + -1 + sqrt(612))*-4.\nAnswer: 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60628550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -3. Let l(x) = x**2 + 6*x - 5. Calculate l(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Let y(t) = 3*t - 3. Let q be y(x). Let n(g) = 3*g - 3. Let f be n(2). Solve -q*z + 0*z = f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h - 108. Let o be ((h\/2)\/(-3))\/(-2). Let y(c) = -c**3 - 4*c**2 - 3*c + 3. Let f be y(o). Calculate the greatest common divisor of 9 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 23. Let h be d(-9). Sort -0.4, 0.4, h, 0.1 in descending order.\nAnswer: h, 0.4, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2420 is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 38*t**2 - 12. Let j(f) = 2*f**2. What is j(w(s))?\nAnswer: 2888*s**4 - 1824*s**2 + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgs when three letters picked without replacement from {s: 3, g: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1311019.46 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23503 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10))**(-33)*j**1*j\/(j*j*j\/j**(-39)*j)*j assuming j is positive.\nAnswer: j**290","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p - 72 = 0. Let a = -9 - -3. Is 6*(-3)\/a - p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 13) in base 2?\nAnswer: -1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 366573.6 to the nearest one thousand.\nAnswer: 367000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.893 take away -498261.1029?\nAnswer: 498256.2099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 + 267 = 13*p. What is the nearest to p in -2, -2\/7, -1, -2\/1257?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - 10. Let n = q + 75. Suppose 5 + 1 = 2*j, -5*o = 3*j - n. Solve 4*d = -o*x + 1, 0 = -5*d + 3*x - 11 - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 220.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 13370?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647562 is divided by 161870.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -856 - 297 = -81*u + 305. Solve n - u*n = 68 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biiiiiibiiiiiiiiii. Give prob of sequence ibi.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrnnrnrrrnrrrr. Give prob of sequence rn.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 650 divided by -2.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10917\/590 + -1\/295. Let v = 2012\/3 + -705. Let m = b + v. Calculate the common denominator of -9\/8 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1209 - 732. Let a = -272 + w. List the prime factors of a.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -0.222229.\nAnswer: 0.00222229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.841 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 629782 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 95398000 rounded to the nearest one hundred thousand?\nAnswer: 95400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3801 and -15.004?\nAnswer: 14.6239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1968 and 7818288?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:24 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Suppose -8*g + z*g = -g. Suppose m + 5*l - 155 = -0*l, -3*m + 4*l + 465 = g. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3999*a + 15216*a = -335793 + 10500 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 13) to base 14.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.3 - 9.224. Let f = k + 2.924. Let h = -4\/35 - 2\/7. What is the nearest to f in 3, h, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 16*h**2 - 77*h - 5. Calculate the remainder when 382 is divided by y(20).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17.91 from -124.8.\nAnswer: -106.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from iijxa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4546305 - 0.7846359. Let u = -0.83 - -0.16. Let k = u + f. What is k rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h - 2*h)*(3*h**4 - h**4 - h**4) - h**5 + 0*h**5 + 5*h**5.\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.7018ml in litres?\nAnswer: 0.0287018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:54 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*sqrt(448).\nAnswer: -8*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 2 - -7 - (17 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3)*q)\/q)**(-4)\/(q*q*q**(1\/3)*q**(1\/5)) assuming q is positive.\nAnswer: q**(82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y**2 + 2*y**2 - 37*y**2 + 7*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52523 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 + j**2 - 3*j**2)*(j - j + 2*j**2) - 24590431*j**3 + 24590431*j**3 + 25544*j**4 to the form l*j**3 + p*j**2 + u + y*j + r*j**4 and give r.\nAnswer: 25542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 905106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1763, 1777, 1797, 1823, 1855, 1893?\nAnswer: 1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9112715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 20*z + 4. Let g be t(-4). Let h = g - -106. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:48 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6508 - 0.665. Let o = u - 10.7358. Round o to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/32*16\/180. Let j(o) be the third derivative of 0*o + 0 - c*o**5 + o**2 + 0*o**3 - 1\/12*o**4. Find the second derivative of j(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -11, -90\/493, -0.3 in descending order.\nAnswer: -2\/17, -90\/493, -0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34549845 and 363?\nAnswer: 380048295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*n - 4*w, n + 6 = -n - 2*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 s when three letters picked without replacement from {w: 1, z: 1, x: 4, s: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 167223.935+-0.57\nAnswer: 167223.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -367, -395, -401, -379, -323?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*r + 17*r + 12*r + 8*r**2 + 9*r - 49 as b*r + g + q*r**2 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*y, 4*d + 5*y - 2 - 10 = 0. Which is bigger: d or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - -188?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 16*u**2 + 180*u + 47. Give b(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1715136 and 81\/2648.\nAnswer: 567710016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 - -109. Is -4 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 649\/44 - (8 + 7).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4*r + 27 = 0, 4 = -2*q + 3*r - r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/24*2)\/((-2)\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -688\/37 + 9626\/259. What is the biggest value in 0.07, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.064, -1, 0, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2806.01 - 2818. Let a = h + -0.01. Let n = a + 11.5. Sort n, 5, -2\/17 in decreasing order.\nAnswer: 5, -2\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67904449?\nAnswer: 67904449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4)*-6)\/sqrt(6).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -76 + (-1 - -1 - -53 - 1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 8) in base 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y. Let o(x) be the first derivative of 2*x**3\/3 - 2503*x**2\/2 + 1890. Calculate j(o(r)).\nAnswer: -2*r**2 + 2503*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -3*a + 0*a**3 - 2 + 1\/4*a**4 + 0*a**2. Let f be (1 - -1)\/(10\/15). Let x(k) = -3*k**3 + 8. Calculate f*x(m) + 8*r(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471061552.\nAnswer: 2, 13, 2264719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 + 11*v + 7. Let u(a) = -2*a**2 + 6*a + 4. Give -4*r(p) + 7*u(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 37*z**2 + 37*z - 69. What is o(36)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 - -145. Let f(r) = r**3 - r**2 - r + 48. Suppose -y + j = -4, -2*j = -y + 6 + 2. Let u be f(y). Calculate the greatest common factor of u and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66373 - 35954. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**2 + 1145*g + 34740 = 0?\nAnswer: -193, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -o - 4*w, -3*w + 0 = -9. Suppose -3*q - 5*s + 19 = -o, s = -3*q + 17. Solve -q*m = -2*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + -2 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1148*b + 1124*b = 912 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Suppose 6*c - 4*c = k. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2822 + 0.4723. What is p rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -9081\/11, 5, -2\/3, -1 in decreasing order.\nAnswer: 5, 0.1, -2\/3, -1, -9081\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245350 - -3?\nAnswer: -245343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 - 72.5. Which is the closest to -193? (a) h (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -30, 8, -3, 0, -13, 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let h(v) = -11*v + 9. Calculate -h(p) + 2*r(p).\nAnswer: 13*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4\/3229, -1916, -5 in increasing order.\nAnswer: -1916, -5, -2, -4\/3229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(4\/(-6) + 196\/(-336)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55254 (base 10) in base 13?\nAnswer: 1c1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5166\/147 + -5 + (-184)\/161?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 5\/3 (c) -5 (d) 164\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a - 2. Let j(v) = -10*v - 4. Let g(b) = -6*j(b) + 13*t(b). Let z be g(-1). Solve -4*w - 23 = 2*h + w, -z*h = 2*w + 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 17*u**2 + 11*u + 16. Let h be o(-10). Suppose -h = -z + 783. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/162)\/(2*(-1)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-6))\/((-1)\/3). Let t = -5.12 + 0.12. What is the third smallest value in -2, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 1 - (1 + -34). Suppose 3 = -2*o + 5*c + 32, 0 = -4*o + 5*c + g. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19497)\/(-10961))\/67*(-5)\/15.\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaaa when four letters picked without replacement from babsbsasaasasafakskb?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 38, 6, 2 in ascending order.\nAnswer: 2, 6, 9, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 1465538800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*q + 4872 = 0, 5*l - 3377 - 2680 = 2*q. What is the thousands digit of (-3 + 0 - -2)*(-8 - l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10308610*c + 10308610*c + 263*c**3.\nAnswer: 263*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-9)*m)*m**(-15\/7))\/(m*m\/(m\/(m\/(m\/m**(1\/38))))*m**(2\/81)) assuming m is positive.\nAnswer: m**(125099\/21546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 350, 409, 482, 563?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 + 10513*u + 94858. What is f(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*x = 4, -4*w - 4*x - 3 = 5. Let l be 3\/w + -3 - 0. Let c(m) = m**2 - m + 16. Let n be c(l). Calculate the greatest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 at most as big as 287293\/258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1136130 divided by 5.\nAnswer: -227226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 16*v - 3. Let x be t(15). Suppose 0 = -9*z + x*z - 54. Let c(s) = -z*s**2 - 2 + s + 26*s**2 + s - 9*s**2. Determine c(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -38\/189 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**3 - 2*k**2 + k. Suppose -2*i = -x + 1, 2*x - 5 = -i - 3. Calculate z(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Suppose 80 = g*m + m. What is the least common multiple of 22 and m?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5512, -11003, -16494, -21985, -27476, -32967?\nAnswer: -38458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3566513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.0411323 to 1 decimal place.\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158988?\nAnswer: 2, 3, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*d + 19 + 15 - 49 + 18 in the form j + c*d and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3317 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74 - -71) + -16 - (8 - 4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 20*w**2 - 43*w + 173. Determine s(22).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - q**2 + 1. Let j(y) = -3*y**3 + 4*y**2 + 15*y - 4. Let t(s) = 4*c(s) + j(s). Find the second derivative of t(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96190*n**3 - 192380*n**3 + 96192*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = 4. Let j be (-250)\/(1\/(0 - k)). Let c = j - -429. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1)\/(13 - 1 - 13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + (-25 - (7 + -14 - 3 - 4)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (1 + 6 - 1) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*c - 18 = 0, 0*a + 2*a - 2*c + 20 = 0. Let l be 12*((-6)\/8 + 2 - 2). Let u = l - a. Let x(f) = -f**3 - 3*f**2 - f. Calculate x(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41996?\nAnswer: 2, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {v: 3, x: 1, a: 1, b: 2, s: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2213741 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 599923057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 29, -25.\nAnswer: -25, -4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 + 0\/3)\/1)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -57905978.\nAnswer: 1\/28952989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 13. Let r = -257.052 - -258. Let i = 0.052 + r. Which is the biggest value? (a) 4\/5 (b) m (c) i (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 336 + -322. Let h(n) = -n**2 + 4*n - 3. Let y be h(10). Let x = -23 - y. Calculate the remainder when x is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 520235.6 centuries?\nAnswer: 5202356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(2880)*-1)\/((sqrt(28) + sqrt(700)*-6)\/sqrt(7))*2)**2.\nAnswer: 103680\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from {h: 1, r: 1, q: 1, a: 2, k: 1, t: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) - (sqrt(204) + (sqrt(204) - 3*(sqrt(204) + sqrt(204)*-2)))))\/((sqrt(12) + sqrt(36)\/sqrt(3))*4).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3613*h**2 + 3618*h**2 - 10823*h**2 + 3614*h**2.\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 113 = 5*j + 7, -5*j + 110 = -5*g. Let o be 3\/j*-2*-9. Solve 11*c**3 + 6*c**2 - 2*c**2 + 2*c**4 - 5*c**o = 0 for c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 3*q - 4 + (0 + 0 + q)*(-3 + 6 - 1) - q + 2 - 2 + 4*q - q - 4*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is f24 (base 16) in base 9?\nAnswer: 5276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11001*h**3 - 139*h**2 + 3 wrt h.\nAnswer: 66006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.34219 minus 10482101?\nAnswer: -10482151.34219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97603\/1057 - 57\/1057. Let h = f + -92. Find p such that -h*p**2 + 4\/7 - 2\/7*p = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -96*g**2 + 42*g + 37. Let y(j) = 93*j**2 - 45*j - 39. Let b(t) = -6*r(t) - 5*y(t). Let c(x) = 16*x**2 - 4*x - 4. Determine 4*b(k) - 27*c(k).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v + 0 + 0 + (-4*v + 0*v + 3*v)*(-4 - 1 + 4))*(2 + 0 - 1).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**5\/240 - v**4\/96 + v**3\/12 + 11*v**2 + 18. Let d(r) be the second derivative of x(r). Determine b so that d(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 381823\/22 or 17355?\nAnswer: 17355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {h: 6, c: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (107\/(-107))\/(1\/5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 6*t + 1. Let f be h(-6). Let r = 28 + -25. Suppose f = -r*g + 49. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13339 (base 10) in base 5?\nAnswer: 411324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 1 + 7. Let k(f) = 2*f**2 - 33*f - 335. Let w be k(-7). Which is the second biggest value? (a) 0.49 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12272*a - 17909*a + 326946 for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100613786 divided by 3094?\nAnswer: 32519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 226*w + 145*w - 193*w to b + m*w and give m.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -437*k - 484*k - 124*k in the form h + l*k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 - -96. Suppose 41 = 5*n - s, -15 = 5*n + 4*s - 76. Find the second derivative of 8 - n*j - 8 + i*j**2 - 5*j**2 wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4677 - 4675.8001. Round k to two decimal places.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 2*x - x + (1 - 2 + 3)*(-987*x + 2316*x - 1133*x) - 5*x + 2*x + 2*x.\nAnswer: 388*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*u = 7*h - 54, -39 = -3*h - 3*u. Suppose 2*t - 28 - 16 = 0. Calculate the highest common factor of t and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 523*v**5\/5 - 1103*v**2 - 2383*v. Differentiate l(t) with respect to t.\nAnswer: 6276*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + (-19)\/(-4) + 3\/3. What is the nearest to -0.1 in -1\/3, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4*i - 8, -3 = i - 5. Suppose -5*j - 31 - 9 = b. Let s = 4 - j. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4000\/29 + 138. Do -1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*n - 264, -4*n + 117 = 3*x - 96. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.111, 90\/17, 2\/91, -3\/7 in increasing order.\nAnswer: -3\/7, 2\/91, 0.111, 90\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -2 + 0\/(-1). Let p(v) be the second derivative of 4\/9*v**4 - 1\/5*v**6 + 0 - 4\/9*v**3 + 0*v**2 - v + 1\/10*v**z. Determine x so that p(x) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3207689252 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170.3225 - -0.1225. Let y = g - -170. Which is the biggest value? (a) 0 (b) 1 (c) y (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61584 divided by -6.\nAnswer: 10264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nncc when four letters picked without replacement from niinnnncnwnwwnwnncnw.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a century in years?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/15 (b) -0.3 (c) 4 (d) 3 (e) 5 (f) 0.088 (g) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14688 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511*c - 504*c - 515*c.\nAnswer: -1530*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 742 divide 116494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008995 rounded to 4 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -2.61674?\nAnswer: 0.0785022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 5*l + 0*l + (3*l - 5*l + 3*l)*(-4 + 2 + 0) + (-343*l - 346*l + 714*l)*(-2 - 4 + 2) in the form g + x*l and give x.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -221000002 (base 3) in base 6?\nAnswer: -220215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t = -48. Suppose 0 = -3*f - 5*v - 13, -4*v - t - 4 = f. Let g(l) = 2*l - f*l + 4*l. Let k(y) = -2*y**2. Determine g(k(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:45 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358083.\nAnswer: 1358083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/728 + (-28)\/(-49) + 450\/(-26)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 6)*(0*f + 0*f + 2*f)*(2*f - 6*f + 3*f) to a*f**2 + z*f + c and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363415*x**2 - 2*x + 2*x + 0*x.\nAnswer: -363415*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 559*w - 1 - 556*w - w**2 + w**3 - 3*w**3 as k*w**2 + a*w**3 + t*w + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llxxlxxxxxxxxxxxxxl. Give prob of sequence xxx.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501*g = -506*g - 85. Let o(p) = 5*p**2 + 5*p + 6. Let s(k) = 15*k**2 + 14*k + 17. Give g*o(r) + 6*s(r).\nAnswer: 5*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**5\/5 + t**4\/4 - 508*t**3\/3 - 7287*t - 6938. Find the first derivative of f(i) wrt i.\nAnswer: -4*i**3 + 3*i**2 - 1016*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -450182627.97 and -60.41?\nAnswer: 450182567.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + l + 20 = 6*l, 2 = 2*l. Let d be s\/(-7) - (-4)\/(-14). Let u be (-9299995)\/15 - d\/(-3). What is u rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**4\/12 + 7*d**3\/6 + 3*d**2 + d + 1. Let u(r) be the first derivative of c(r). What are the prime factors of u(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6883, -14, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 214129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 36727299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f + 38 - 38)*(1 + 3 - 1).\nAnswer: 39*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5590905 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -146\/5 in 3, 6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwwwqwqw. Give prob of picking 1 q and 2 w.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55686083 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 670*s**2 + 12*s - 46. Let v be l(3). Suppose -v = -22*d - 2170. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 0*j**2 - j**2 + 2*j**2 - 5*j + 1 - 2 in the form k*j**2 + n*j + b + g*j**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 2. Give i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 2:24 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*z**5 + 187440*z**4 - 255069*z**3 + 74172*z**2 - 6180*z = 0.\nAnswer: 0, 2\/11, 1, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**3\/6 - 2*w. Suppose 0 = 5*x - 2*c - 221, 2*c = x + c - 46. Let j(k) = -x + 7*k + 0*k + 43. What is j(g(m))?\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 3734191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3073615847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3630 - 686072\/189. Which is the closest to 0? (a) -1\/3 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d - 31*d - 4 = 4*w, -3*d - w + 10 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -281 or -282?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030100 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 4*w - 1 - 3*w + 48*w - 77*w - 94*w + (-1 + 2 + 2)*(-2*w - 2*w + 2*w).\nAnswer: -130*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 14*c**2 + 18*c - 12. What is u(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 465946 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*s - 6972 = 0, -28412 = -5*o - 2*s + 6313. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/3? (a) -0.1 (b) -2\/13 (c) 2\/5 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -38?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 6100.\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 4 + -13 + 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5 + 6*j + 18 - j + 7*j wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 168.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22392376453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -11*t**6\/30 - t**3\/6 - 11*t. What is the second derivative of k(v) wrt v?\nAnswer: -132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a. Let q(y) = -2516 - 18*y**2 + 2516. Let b(r) = -r**2. Let f(v) = -24*b(v) + q(v). Calculate u(f(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78\/1529 + -277\/574904. Let a = r - 26491\/3384. Let c = -4621\/210 - -146\/35. Calculate the common denominator of c and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173712 divided by 28?\nAnswer: 6204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 9 - 1. Suppose -m - 3*h - 9 = -4*m, r*h - 22 = -5*m. What is the third derivative of -2*g**4 + 5*g**m - g**2 + 0*g**2 wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2374 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: Let p be (2\/(-4) - -2)*2. Suppose r = 5*a - 23, 4*r - 6 + 18 = 4*a. Suppose 24 = p*l - a*x - 42, 15 = 5*x. What is the remainder when 106 is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 599357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 453099 to the nearest 10000.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-3*f + f + 3*f) + f - f + 2*f - f - f + f + (-2 - f + 2)*(14 - 8 - 34).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5 - 3 + 4*x - 11 - 7. Does 27 divide a(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2024 - -2024.2. Which is the nearest to 0? (a) -10 (b) j (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45\/29 or -14?\nAnswer: -45\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 226 = 5*l, 0 = -5*l + 7*w + 35*w - 43*w + 238 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(5*j**5 + 8*j**5 - 3*j**5).\nAnswer: -20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(60)\/(sqrt(60)\/sqrt(5) + sqrt(12)))*3)**2*6*6.\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311303223 + 1?\nAnswer: -311303222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 230 + -215. Calculate the remainder when 102 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104273, 104570, 104873, 105182, 105497?\nAnswer: 105818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 0, -3*s - 4*o + 14 = s - 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3289*m - 457.\nAnswer: -3289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/1*(-11)\/(-44).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 35 = -4*r. Solve r*v = -9 - 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 3)\/(3\/(-9)) + -2. Let n be (-11)\/(-44)*t*-1*-4. Solve -8 = 3*j - n*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0 - 1\/21*m**7 - 1\/3*m**3 + 1\/12*m**4 + 3\/10*m**5 - 2*m + 1\/30*m**6 + 0*m**2. Solve j(x) = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727 a factor of 460811372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -49*w - 2 + 8*w**2 - 51*w + 146*w - 44*w. Let c(d) = -129*d**2 - 33*d + 33. Let t(z) = -6*c(z) - 99*y(z). Let o(n) = n. What is t(o(b))?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357136771?\nAnswer: 31, 709, 16249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*q**2 - 564 + 564 + 4*q**3.\nAnswer: 4*q**3 - 52*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 1, i: 2, u: 2, b: 2, c: 4}. What is prob of picking 1 c, 1 b, and 1 y?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 10, z: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/144)\/((-4)\/(-6))*-9. Let d be (-2)\/(-6) - 16448\/60. Let q = d - -271. Is q at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 12:35 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1729\/11 - -157. Which is the closest to -0.07? (a) -0.3 (b) -1\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 55*y**2 - 112*y - 109. Let x be a(57). Sort x, 4\/5, 2\/33, -1\/3, 1 in descending order.\nAnswer: x, 1, 4\/5, 2\/33, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 22. Let r be f(-12). Solve r*n + 4*q + 22 = 0, -3*n - 8 + 3 = -q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38981 times -62.45\nAnswer: -2434363.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*d**3 + 302*d**2 - 2*d**4 - 357*d**2 + 5*d**4 - 4*d**4 to the form l + g*d**4 + w*d**3 + i*d + c*d**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/2 (b) -25867 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119, 669, 1767, 3413, 5607, 8349, 11639?\n\"Answer: 274*r**2 - 272*r + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 3875*n - 27370.\nAnswer: 5*(n - 782)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (sqrt(117) - (sqrt(117) + sqrt(117)*3)*-3)\/sqrt(9)).\nAnswer: 6 + 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1315760 and 920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**3 + 25*s**2 - 12*s - 33. Let y(i) = -16*i**3 - 48*i**2 + 23*i + 67. Let x(f) = -7*j(f) - 4*y(f). What is the tens digit of x(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2628*h - 7275*h + 33356 + 114650 = 13243 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 15\/1889 (c) 1\/10 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - 2*o + 2*o + (o**3 + o**3 - 3*o**3)*(8*o - 8 + 8).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsq when three letters picked without replacement from fqvvvqvpsvssssfvqssq.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16724093 and 431.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 691*t**2. Let h(m) = 9*m. Give i(h(b)).\nAnswer: 55971*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/5)\/(1\/(-5)). Let l be (-6 + -2)\/r + -1. Solve -l*t + 2 = -1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 810\/195 + 4\/(-26) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 - (-1)\/2. Suppose 2*v + 0 = z - 3, -3*z - v + 16 = l. Suppose -3*f + f = -3*x + z, 4 = -f. Which is smaller: 1\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 4. Let g = 132 + -228. Let m be (g\/30 - -4)\/(1\/25). Solve 0*t + i*t = -m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 12:03 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48832, -96690, -144562, -192454, -240372, -288322, -336310?\nAnswer: -384342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1463 - 2*o**2 + 1478 - 2941. Let s(u) be the first derivative of -u**4\/6 - u + 1. Let n(d) be the first derivative of s(d). Give b(n(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = -7*v + 3*v, v = -1. Let m be x\/(-6)*0*-1. What is the units digit of 8\/(2 + m + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(300))**2)*3 - ((sqrt(300) + 4 + -1 + sqrt(300))**2 - ((sqrt(300) - sqrt(300)*2) + -3 + sqrt(300))).\nAnswer: -300 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33136 and 2?\nAnswer: 33136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 3:24 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -74. Suppose -4*d = 3*o - 57, -2*o + 4*d + u = -6. Let m = 41 - o. Solve -5*k - m = 3*a, -3*a = 2*k - 2*a + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-138))\/((-147)\/(-483))?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 498583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100920 and 12528?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 8 - -37 - 75?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14333096*x**4 + x**2 - 26895820 wrt x.\nAnswer: -57332384*x**3 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97\/6 - 16. Let y = 2.5 + -0.5. Let i = -0.065 + -5.935. Put f, i, y in increasing order.\nAnswer: i, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2301100010121 - 1?\nAnswer: 2301100010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364 divided by 4.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z**2 + 115*z**3 - 233*z**3 - z + 117*z**3 - 2 to the form d*z**2 + u + j*z + q*z**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6472*p + 12933. Determine n(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-8))\/(-3 - (-730)\/240).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3022321 + -3?\nAnswer: -3022330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11627549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-332)\/(-5055750)*519)\/((-3)\/170). Let t = h + 338\/175. Let d = -154066\/101115 - t. Calculate the common denominator of d and 4\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5898 divided by -1966\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -17\/6*o**6 + 9 + 1\/3*o**4 - 3*o + 1\/2*o**2 + 0*o**5 + 0*o**3. What is the third derivative of p(l) wrt l?\nAnswer: -2040*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 2, -458474, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25789\/5, 2, -0.4 in ascending order.\nAnswer: -25789\/5, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5245, 5244, 5243, 5242, 5241?\n\"Answer: -z + 5246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 d when three letters picked without replacement from {v: 1, s: 2, t: 1, x: 2, d: 8}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4811239967.\nAnswer: 1831, 2627657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -4*h + 54, 14*d = 13*d - 2*h + 24 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 155*u**3 + 2*u + 605*u**4 + 29*u**3 + 127*u**3 - u**2 to y + h*u**4 + k*u + v*u**3 + g*u**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 10 + (1 - 11) + -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424, -418, -400, -364, -304?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 189032360 a multiple of 698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.44037 - -0.04037. Let s be (-4)\/10 - (-16)\/50. Which is the nearest to s? (a) 0 (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700484 - 10.2622785.\nAnswer: -700494.2622785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 4*t**3\/3 - 83*t**2 - 76*t - 2. Let z be h(21). Solve -z*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 - 57. Let w be (3\/(-15))\/(12\/15). Is a <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Let i = 1 - 1. Sort -5, i, v in decreasing order.\nAnswer: v, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1116 from -4.\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21674 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 + 1. Let h be u(1). Let j be -5*h*(-6)\/(-45). Find the common denominator of 67\/10 and j + 87\/24 + 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**4\/3 + 134*n**3\/3 + 136*n**2 - 78*n - 10. Suppose j(p) = 0. Calculate p.\nAnswer: -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000224406 to seven dps.\nAnswer: 0.0000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1995 - -0.1996609. What is b rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 2*k**2 + 2*k - 2. Let z be w(-4). Let b be (-53)\/11 - 4\/z. Let a(x) = -x**2 - 8*x - 5. Is 4 a factor of a(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + sqrt(11) + sqrt(11))*3*-2.\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10416525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, 3, -3\/2, 3\/2, -328 in descending order.\nAnswer: 129, 3, 3\/2, -3\/2, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 3*a**8\/7 - 4*a**7\/21 + a**6\/15 - 211*a**4\/12 + a**3\/3 - a - 850. What is the third derivative of c(f) wrt f?\nAnswer: 2880*f**3 - 480*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181387866, 362775738, 544163610, 725551482?\nAnswer: 906939354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5195504 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/90)\/(-11)*4\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -56, -67, -96, -149, -232, -351?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 7*y - 1. Let h(o) = -4*o**2 + 51*o + 5. Let b(g) = 2*h(g) + 15*m(g). Give b(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**2\/5 - 5494524*r\/5 = 0.\nAnswer: -2747262, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18067 and 97989.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13.69 times 2\nAnswer: -27.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deddddddddededd. Give prob of sequence eed.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 133620697 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6f (base 16) in base 4?\nAnswer: -1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1114, -1105, -1094, -1081, -1066, -1049?\nAnswer: -1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1 + u**2 + u - 2845*u**3 + 5*u**2 + 2844*u**3 - 5*u**2. Let a(j) = -9*j**3 + 5*j**2 + 5*j - 4. Determine -a(q) + 5*i(q).\nAnswer: 4*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2079 and 11627.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8536415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 202 + 22 = -13*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343744605 - 343744605 - 3*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-14) - (-8)\/77. Suppose 3*w + 0*w = 18. Suppose -5*q + 5 = w*u - 3*u, -q = 3*u - 1. Which is the third smallest value? (a) q (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -15*l**3 - 103*l**2 + l + 28. Let n(g) = 2*g**3 - 4. Give -7*n(i) - q(i).\nAnswer: i**3 + 103*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2. Let j(c) = 5954*c**2 - 3*c. Determine j(g(x)).\nAnswer: 23816*x**4 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 91671, -305 in decreasing order.\nAnswer: 91671, 2, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4 + 85*z**3 - 6090*z**2 + 47680*z + 120320 = 0.\nAnswer: -47, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o + 28. Give j(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d - 4*b - 20 = 0, -3*d - 4*b = 20. Suppose d*n - 2\/5*n**2 + 0 = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*v - 11817 + 11817 to the form j*v + r and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.427 - -0.427. Let q = -79 + 76. Sort k, q, -4\/5 in descending order.\nAnswer: -4\/5, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -148.2179?\nAnswer: 147.8179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22355470 rounded to the nearest 100000?\nAnswer: 22400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 236\/7 - 34. Let i be (109\/27 - 68\/17)\/((-2)\/(-12)). Which is the nearest to i? (a) -1\/9 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2519 or 2552?\nAnswer: 2552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 3. Let b = o + 10. Suppose -22 = -b*l - 2*m, 5*l - 17 = 3*m - 0*m. Solve 2*j = j - l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 2 - (22 - -1). Is -27 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -3, 9, -9.7, -0.08?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 14*q**2 + 175*q - 16. Calculate a(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -82, -105, -146, -211, -306?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 + 249500*q**2\/3 + 7781281250*q\/3.\nAnswer: 2*q*(q + 62375)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 5}. Give prob of sequence jj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -362968452*k**3 + 4485893*k + 1.\nAnswer: -2177810712*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/6)*c*c*c**0)**(-4\/13))**(-4\/5) assuming c is positive.\nAnswer: c**(152\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 3*k - 7. Let a be j(-5). Let b = 0 + a. Solve h + b*h = 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -63. Let r(y) = y**3 + 6*y**2 + 2*y + 10. Let d be r(b). Solve -5*l = p - 15, 3*p - l + 6*l = d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*n**3 + 0*n + 14*n**3 + n wrt n.\nAnswer: 126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2 + 1. Suppose 404 - 460 = -28*t. Put w, -7, t in decreasing order.\nAnswer: t, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6. Suppose 3 = 2*d - 6*d + 5*o, 5*o = -3*d + 24. Solve -w + d*w + 5*b + 20 = k, -5*w - b = 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 7 + 67 = 0. Let i be ((-4)\/6)\/(4\/6). Let c be -18*((-6)\/(-9))\/i. Calculate the highest common divisor of p and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaqw when four letters picked without replacement from {q: 9, a: 1, w: 2, h: 4}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 10585a7?\nAnswer: 10585a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**3 + 11*x**2 + 15. Let t(o) = -3*o**3 + 10*o**2 + 14. Let v(s) = -5*h(s) + 6*t(s). Let u(c) = 6*c**3 + 14*c**2 + 26. Determine 5*u(f) - 14*v(f).\nAnswer: 2*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/24 and -47\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, j: 5}. What is prob of sequence ffff?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 180473257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/322 and -3.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 180 = -h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 54 + 282. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522181423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = y + u, 1425 = -y + 5*y + 5*u. What is the highest common factor of 72 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 377119883\/1360 + -277294. What is the common denominator of -22\/5 and y?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.003, -0.01, -0.6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or 0.1969445?\nAnswer: 0.1969445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1733049634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 a, and 1 p when four letters picked without replacement from aajpzglg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -2\/9, -26383.8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**2 - 2*g + 36. Let t be o(6). Let w = 192 + -383. Which is greater: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*m - 64. Suppose 3*p + 3 = c + 4, p + m = 2*c. Suppose 5*d - 5*x - 13799 = -5389, c*d - 2*x - 8419 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 11:46 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*y - 15. Sort -3, y, -21, -4 in decreasing order.\nAnswer: y, -3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14065, 28118, 42147, 56152, 70133, 84090, 98023?\nAnswer: 111932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.03, -0.178, 4, -0.2, 24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 48*d**2 - 50*d - 990. List the prime factors of u(-36).\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -242.\nAnswer: 23\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g + g - 3*g + 7*g - 2*g - g + 2*g - 2*g + (-3 + 4 - 2)*(1 - 1 - 2*g) + 2*g + 1 - 1)*(-1282 - 322*g**2 + 1282).\nAnswer: -1288*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/((-1215)\/(-12))*2*125\/(-60)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**4 - 6*w**4 + 0*w**4)*(w - 118 + 118) + (3*w**4 - 5*w**4 - w**4)*(-36 - 3*w + 4*w + 19).\nAnswer: -5*w**5 + 51*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 44, 6, -1 in increasing order.\nAnswer: -5, -1, 1, 6, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**4 + k**2 + k - 2. Let x(f) = -12*f**4 - 8*f**3 + 8*f**2 + 8*f - 16. Let g(b) = -8*d(b) + x(b). Factor g(l).\nAnswer: -4*l**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-256)\/(-48) - (-1)\/(-3). Suppose s*i + 3 = -5*z - 2, -2*z - i = 1. Suppose 4*m - 5*x - 9 = m, 2*x - 6 = z. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:18 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 12*t - 152. What is the units digit of d(46)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 12*u - 42. What is k(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*a - 8 = 0, -14 = d + 5*a - 9*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (4 + (4 - 0) - 35)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(72\/9344) + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**3 + 12*o**2 - 14*o + 4. Let s be t(-9). Let d = s + 3761. Suppose -5*k + d = -2569. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n - n - 42 + 9 + 2*n. Let m(h) = 5*h + 50. Let g(y) = -5*m(y) - 8*z(y). Give g(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1127 and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 638 + 1202. Calculate the remainder when p is divided by 913.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 246 - 61. Suppose k + 2*n - 47 - 32 = 0, 2*k - 5*n - b = 0. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Solve 0 = -0*m + v*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**10)**(-23\/4) assuming b is positive.\nAnswer: b**(-115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2518, 2520, 2516, 2500, 2466, 2408, 2320?\nAnswer: 2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 16941.\nAnswer: 169410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o**4 + 97*o**3 - 60*o**3 - 1 - 147*o**3 + 2*o + 105*o**3 to the form x*o**3 + z + l*o**4 + y*o**2 + u*o and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 187.7372*-0.06\nAnswer: -11.264232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82356 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/36*1*(-20)\/10*6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15709318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.0025 + -24. What is x rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 744131.5 centuries?\nAnswer: 892957800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*25.7\nAnswer: -17.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9424\/(-992) - 321\/(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72.6 - -73. Let u = -0.2 - -0.1. Sort s, -0.3, u in descending order.\nAnswer: s, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 4*i - 20, i - 4*i + 15 = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 1 - 1)*(0 + 0 - 2*a) + (-168*a + 0 - 7 + 178*a)*(-2*a**2 + 3*a**2 + a**2).\nAnswer: 24*a**3 - 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1896*r**5 - 705*r**4 - 23*r**2 - 3*r + 45188 wrt r?\nAnswer: 113760*r**2 - 16920*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3640*l**2 + 1819*l**2 + 1843*l**2 + 5*l**3.\nAnswer: 5*l**3 + 22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17379.122 + -229.3218.\nAnswer: 17149.8002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(-2 + sqrt(3) + -1 + sqrt(3)))**2.\nAnswer: -15552*sqrt(3) + 27216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 21. Suppose n*g + 3 = 31. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m + 40 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9322*h + 37283. Calculate b(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m - 12. Let y be u(8). Let p be y\/10 + 6\/(-15). Find the second derivative of -1 - x - x**p - 3*x**4 + 1 wrt x.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 262*d - 160*d - 23 - 104*d to o*d + g and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2226568 (base 9) to base 15.\nAnswer: 18a398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 265*g**4 - 4*g - 368. Let y(n) = n**4 + n + 2. Let d(o) = -q(o) - 5*y(o). Find the second derivative of d(r) wrt r.\nAnswer: -3240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*8\/6*-3. Calculate the greatest common divisor of 12 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*n, -5*n + 0 + 17 = 4*b. Let d(j) = -8*j - 1. Let w be d(-1). Solve c = -5*x - w, 0 = 5*x - x - b*c - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11092\/(-79806)*(-1)\/(-2) and 61\/30.\nAnswer: 8490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319 + 4*u**3 - 318 - 34*u**3.\nAnswer: -30*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 2722140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) - (1 + sqrt(80)) - (sqrt(20) + 0).\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 6. Let n be j(-5). Suppose -5 + 1 = -4*y. Let p = y + n. Put 5, p, -1 in decreasing order.\nAnswer: 5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**3 - k**2 + k - 1. Let d be f(1). Let p = d - 4. Solve -5*x + 11 = c, -5*x + 3*x = -5*c + p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(9 + 4) - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149 - -192. Suppose 41*w = j*w - 100. Calculate the remainder when w is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoo when three letters picked without replacement from {b: 3, p: 1, t: 1, q: 2, s: 3, o: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41561389.\nAnswer: 4889, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1537? (a) -2\/7 (b) 4 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 27*p + 240. Let n be t(34). Sort -5, 7, n in decreasing order.\nAnswer: 7, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 104. Let c(w) be the first derivative of 4\/5*w**5 + 0*w**4 + 3\/2*w**2 + 0*w - s + 0*w**3. Find the second derivative of c(k) wrt k.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2856 and 2100.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((9 + -1)*(-28)\/(-112)). Let u(z) = -2*z - 6. Let l(j) = -j - 5. Give r*u(q) - 4*l(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by -2?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*o**3*s**3 + 3*o**3 - 7*o**2*s**2 + 3*o*s**2 + 17*s**3 wrt o.\nAnswer: -30*o*s**3 + 18*o - 14*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 90 = -5*k. Let v(j) = j**2 + 1. Let d(x) = -4*x**2 - 15*x + 9. Let s(o) = d(o) + 5*v(o). What is the tens digit of s(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14808 is divided by 8085?\nAnswer: 6723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109.011, 22, -17, -0.3.\nAnswer: -109.011, -17, -0.3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1421444421 (base 5) in base 4?\nAnswer: -32020011013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-154)\/21*(4 - 1). Let m = -92 - q. Let y = -25 - m. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 23*x - 30 = -n, 2*n - 46 = 3*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 165, -1, 8.\nAnswer: -4, -1, 3, 8, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 313004 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*q + 72*q - 459*q - 270*q.\nAnswer: -810*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from bqqqqqqqqqqqqqqqqqq.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 284 - 279. Solve -k*s = -3*g + 1 + 2, 0 = -4*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54 - -23 - (14 + 0). Solve n*b = 62*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**12*h\/(h\/(h**(-2\/13)*h*h)) assuming h is positive.\nAnswer: h**(180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10413084 and 54516?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 1\/2*d**2 + 2*d - 17. Give x(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535774 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/32 and -65\/13448.\nAnswer: 53792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 + 25 + 59*l**2 + 0*l + 42 - 69 + 5*l as t*l**2 + b + o*l**4 + j*l + s*l**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7026061 and 7.\nAnswer: 49182427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.6 + -7.4. Let q = -0.8 - v. What is the biggest value in -3, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -13153\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10022 - -30?\nAnswer: -4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 61*j + 11*j - 2187 = 0. Let z(a) = a**3 - 29*a**2 + 53*a - 2. Determine z(j).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3 + 22, 20 = -h - 5*o. Suppose 0 = -3*f, -f + 1 - h = -x. Solve b + 0*b = -x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 12*s**2 + 19*s - 18. What is m(13)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*(sqrt(343) + (sqrt(343) - -2*sqrt(343)) + sqrt(343)) + -1) + -2)**2.\nAnswer: 1050*sqrt(7) + 77200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1041\/7 + -149. Let l = -888\/77 - -130\/11. Which is the closest to f? (a) 0.1 (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 * -58.09.\nAnswer: 3717.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**4\/12 - a**2 + 78. Suppose -2*x - 14 = -5*n - 0, 4*n + x - 6 = 0. Let k(g) = -g + 7*g**n + g. Calculate o(k(f)).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 17 = -51. Suppose -g = -8*p - 10. Find k, given that 0*k + 3\/7*k**p - 3\/7*k**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129.5 + 129. Let o = 0.5 - 0.8. Put 0.5, o, t in decreasing order.\nAnswer: 0.5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -112.3 (b) 5\/4 (c) 1 (d) 101 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**4 + 7 + q - 3*q**3 + 0*q**4 + q**3 - 4 as b*q**2 + n*q**4 + g + j*q + x*q**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437518673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 5*m - 2*m - 2)*(-6*m - 4 + 4*m + 5) to the form q*m + c + i*m**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 18749 + 18749.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 982 divide 5200672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 12 + -13 - (-1 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6*(-2 + 9\/6). What is the closest to -1 in -0.5, o, 17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**2 + 6*r - 2. Let n be u(-7). Let s be ((-300)\/2)\/((-1)\/n). What is s rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2172235803 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 99, 220, 441, 792, 1303?\nAnswer: 2004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493 - 97 = 44*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 1.6, -59\/2, -34 in ascending order.\nAnswer: -34, -59\/2, 0.05, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -3*b + 45. Solve 2*w - 2*f + 8 = 0, b*f = w - 4*w - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x - 33*x + 12*x + 7)*(0 - 2*x + 0) + (0*x**2 - 4*x**2 + 2*x**2 + (2*x - 2*x + 2*x**2)*(1 - 5 + 3) + 0 - x**2 + 0)*(-6 + 2 + 3).\nAnswer: 31*x**2 - 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 7*m - 29159 = -263. Calculate the greatest common divisor of m and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12707 + 4384 - 22281 = -236*f - 857*f for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 + 108.92. Let o = y + -1.9199907. What is o rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 less than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -18, -78\/5, 0, -7.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:48 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 - -191. Let i = h - 317. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 3*f + 3. Suppose -12 = 3*s - 3*v, -5*s + 4 + 3 = 4*v. Suppose -2 = -p - p. Let n(d) = -d + 1. Let i(z) = p*n(z) + s*j(z). What is i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (2*2 + (-9 - 20)). Suppose 13*s = 10*s + c. Calculate the highest common divisor of 27 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53)\/(-795)*(-315)\/(-147).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -59. Let z = -5.1 - x. What is the second smallest value in 0.3, 2\/7, z, -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1\/3, -3, 1\/123, -286 in descending order.\nAnswer: 1\/3, 1\/123, -3, -12, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -332, -1, 0.4, 1\/306.\nAnswer: -332, -2, -1, 1\/306, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + 3 - (0 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**3 - 3*r**2 - 7*r - 3. Give d(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -93.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2972512 hours in milliseconds?\nAnswer: 1070104.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)\/(p\/(p**(-4\/3)*p))*p**0\/(p**(-1\/12)\/p) assuming p is positive.\nAnswer: p**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {x: 7, d: 5, w: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*h = -0*h - 1256, 5 = 5*h. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k + 0*k + 3*k - 3*k**3 - 2 + (4*k - 6*k + 3*k)*(3*k**2 - 3*k**2 - 2*k**2) to y*k + u*k**2 + q*k**3 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 21755 = 5*n + 21727, 0 = 2*n + 3*r - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1554\/(-2849))\/(((-12)\/3)\/(-396)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + (3*(sqrt(1100) + -1) - (0 + sqrt(1100)*-2 - sqrt(1100))) + 3)**2.\nAnswer: -600*sqrt(11) + 39624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (64134480\/(-330) - (-2)\/(-22)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6514 is divided by 282.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-42) - (-296267)\/8246?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 48 = -0*t. What is the highest common factor of t and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 72*b**3 - b**2 + 4*b + 5. Give o(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -2*z**7\/35 + z**6\/15 + 4*z**5\/15 - z**4\/3 - 2*z**3\/3 + z**2. Find f, given that o(f) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (51 + -3 - 15)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 19. Suppose -138 = -y*n + 72. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0*a**3 - 15\/2*a**2 - a + 52 + 1\/3*a**4. Let n(d) = -d**2. Give y(n(b)).\nAnswer: 4*b**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 1. Let y be i(-2). Suppose -y*t = -2628 + 639. Suppose 14*k - 163 - t = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68\/407 + -44767\/7326. Let v be (-1089724)\/30*10\/24. Let y = 15139 + v. What is the common denominator of y and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 15*l + 151 + 54.\nAnswer: 15*l + 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, x: 4, k: 2, m: 1, i: 1}. Give prob of picking 1 k and 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1534 - 1534.16. What is the third smallest value in 1, j, -9\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6350*p**3 + 1305*p**2?\nAnswer: 38100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, a: 1, o: 4, n: 3, r: 1}. What is prob of picking 1 a, 2 o, and 1 k?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -15*c**4\/8 + 51*c**3\/2 + 207*c**2\/8 - 228*c + 357\/2 = 0.\nAnswer: -17\/5, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165838904.\nAnswer: 2, 7, 11, 269219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585 (base 14) to base 11.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762848070.\nAnswer: 2, 3, 5, 47, 541027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 2. Let k be z(0). Let r be -1*(-1)\/(k\/4). Suppose -r*d - 2*f = -3*d + 121, -3*d = 3*f - 399. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e0e0 (base 16) in base 14?\nAnswer: -16da0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4.3*162\nAnswer: 696.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1150 = -227*s. Let y(p) = 7*p**3 - 3*p**2 - 2*p. Let j(t) = -6*t**3 + 3*t**2 + 2*t. Calculate s*j(o) - 4*y(o).\nAnswer: 2*o**3 - 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iidmmdddeddddiddmie. Give prob of picking 1 e and 2 m.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (65\/10)\/(2\/8). Let y = s + -24. Which is the biggest value? (a) y (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 9 + (-7 - (3 - 3)) - 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/6 + 0*1\/3. List the prime factors of (16890\/(-120))\/(d\/8).\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 17*h - 18*h + 6 - 7. Let o be z(8). Let k(p) = p**2 - 12*p + 14. What is the units digit of k(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 25*j - 2 - 17 + 30 + 26*j. Let b(l) = -10*l - 2. Let h = 160 + -162. Give h*k(y) - 11*b(y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/12 and 93\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38899913 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from lwddwwndibwb.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j - 11. Calculate h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0*t. Suppose -110 = -t*v - 5*v. Suppose 2*j = 4*j - v. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-24) - (-19)\/42. Let q = -459\/1631 - 1\/233. What is the nearest to k in -3\/5, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 12. Let r(a) be the third derivative of 0*a**6 + 0 - 1\/210*a**7 - a**2 + w*a**5 + 1\/3*a**3 + 0*a**4 + 0*a. Differentiate r(i) with respect to i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/(8\/(-24)). Suppose -9 - 1 = g*l, c + l - 1 = 0. Suppose -18 = c*i - 7*i. Calculate the remainder when i is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/60 - 23*z**4\/24 - 21*z**3\/2 + 335*z**2. What is g(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -809\/7 or 2\/9?\nAnswer: -809\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/(d\/(d\/(d*(d*d**(-12))\/d))*d))\/(d**(-2\/9)\/(d**(-5)\/d)) assuming d is positive.\nAnswer: d**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (20 - (-457)\/(-24)). Let n(i) be the third derivative of y*i**4 + 0 + 0*i - 21*i**2 + 0*i**3. What is n(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4563 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**1*y*y**(-4\/7)*(y*y**(2\/11)\/y)**(-5\/2) assuming y is positive.\nAnswer: y**(75\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -109*r**2 - 5*r + 80. Let h(i) = 54*i**2 + 2*i - 39. Suppose -12 + 18 = 3*f. Let t(n) = f*x(n) + 5*h(n). Differentiate t(q) with respect to q.\nAnswer: 104*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -1397, -3244, -5847, -9200?\nAnswer: -13297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 200 + 1027 = 2*c, 3*c = -2*o - 506. Is o at most -247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 2101\nAnswer: -420.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 487448573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 3:44 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 != -3\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22232001 - -1?\nAnswer: -22232000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5+0.0911\nAnswer: 5.0911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 17 + 19 = 0. Suppose 7*n = 31 + 11. What is the highest common factor of n and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.38*-161.\nAnswer: 61.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (1 - -335860)*-1. Suppose -g - 240138 = 4*b. What is b rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/25 (b) -1\/3 (c) 3\/4 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7876 and 9416?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from {t: 3, z: 3, i: 2, m: 7}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52428.\nAnswer: 2, 3, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 1222554\nAnswer: 611277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 7*a + 12. Let b be c(-7). Let l be (-1*(0 + -2))\/((-10)\/(-25)). Differentiate -b - 12*i**3 - 4 + l - 1 with respect to i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/4)\/((-13)\/(-26)))\/(27\/378)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2087, 2093, 2099, 2105, 2111, 2117?\n\"Answer: 6*z + 2081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llw. Give prob of picking 1 w and 1 l.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30085315 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*1*(-16)\/48.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 + 101?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4 - 13 + 5 + 6*g**2 - 13*g - 8*g**3 + 21*g = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 182*k**2 - 33*k - 226. List the prime factors of i(-6).\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14 + -9)*3\/5. What is the third derivative of z**2 - 22*z**3 + z**2 + 9*z**y wrt z?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 510 + 706?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6436502*o**3 - 83979235*o**2 wrt o?\nAnswer: 38619012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*f + 19 = 0, 0*f + 13 = -m + 5*f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -316 (base 8) to base 3\nAnswer: -21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1599 - -1598.9. Let j = -7.5 + -0.5. What is the closest to -1 in k, j, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -848*l + 3395. Let h be m(4). What is the nearest to 0.4 in -1, h, 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - 25. What is the greatest common divisor of 91 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/4))\/(b*b\/b**15*b))**(-28) assuming b is positive.\nAnswer: b**(-371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:07 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 209, 1634, 5499, 13022, 25421, 43914?\n\"Answer: 203*u**3 + 2*u**2 - 2*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2*t + 87 = 81, 0 = -3*f + t - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000058705708 rounded to 7 dps?\nAnswer: -0.0000587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 3*h + 12. Let a be p(-5). Differentiate 2*b**2 + 5*b**a + 2 + 2 - 3 wrt b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 342\/4 + 24\/(-16). Let y = b - 47. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 2*p + 6*p + 19*p - 314 = -23*p, v = -3*p + 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2)\/t)**35 assuming t is positive.\nAnswer: t**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/680 - (-538)\/34.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 10:11 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4, -2*l + 7 = -l + 2*n. Suppose -5*d + 5 - 30 = 0. Let r = 10 + d. What is the remainder when r is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/12)\/(-8))\/(-5*(-5)\/(-3600)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 0*u**2 - 5\/6*u**6 + 0*u**4 + 0*u + 0*u**3 - 4*u**5 + 192. Find m such that s(m) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21544 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.043 + -2.731065.\nAnswer: -2.774065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 + -81. Which is the second biggest value? (a) k (b) 5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + (-1 - -1) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 2:21 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14783442*h**2*n + 3906324*h*n - 19*n wrt h?\nAnswer: -29566884*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**5\/30 + 323*o**4\/24 - 172*o**3 + 1741*o**2. What is the first derivative of p(i) wrt i?\nAnswer: -4*i + 323","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 - 109 + h**2 + 5*h**2 + 223.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13090\/3 - -4210. Let q = -152 - k. Factor q*w**3 + 0 - 10*w**5 + 2\/3*w**4 + 0*w + 0*w**2.\nAnswer: -2*w**3*(3*w + 1)*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0.3. Let y = 0 - p. Let j = 121\/35 - 20\/7. Which is the third biggest value? (a) y (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 9 + 3*j - 25 - 107*j + 8 in the form x + u*j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*d**5*j*m - 7*d**3*j**3 - 38*d**2*j**3 + d**2*j**2*m - 3*j**3 wrt d?\nAnswer: 1200*d**2*j*m - 42*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6826641, -6826646, -6826655, -6826668, -6826685?\nAnswer: -6826706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 25. Suppose -5*i - 3*t = l - 62, -i - 5 = -3*t. Let x = 7 - i. Solve 4 = -x*p + 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a meter?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 101.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6\/18)\/(((-15)\/(-140))\/(99\/(-22)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:23 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -5*q - 138. Which is the nearest to q? (a) -1\/7 (b) -0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/7 + 1244*z**2 + 2130312*z\/7.\nAnswer: -4*z*(z - 2399)*(z + 222)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdpe when four letters picked without replacement from {q: 2, d: 1, e: 1, p: 3, y: 3, c: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200903433?\nAnswer: 3, 17, 1223, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -114*m**2 - 5454*m + 5458. Give t(1).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5324 or -5319?\nAnswer: -5324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + k**2 + 11*k**3 + 7 - 3*k - 10*k**3 - 2*k**3 as o*k**3 + a*k + f + t*k**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -359, -356, -351, -344, -335, -324?\n\"Answer: j**2 - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -19, -9.7, -0.06, 11.9?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and 14430.\nAnswer: 14437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -27, -1, -5, 91 in increasing order.\nAnswer: -27, -5, -1, 0, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1 - s**3 - 2 + 5*s**2 - 3*s + 0*s**2. Let n(u) = -u**3 + 4*u**2 - 2*u - 1. Let o(k) = 3*n(k) - 2*t(k). Suppose 0 = 8*x + 983 - 991. What is o(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:00 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2944 and 384.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34271 in 4, -2\/17, 4\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2049*q**6 + 56*q**4 + 79687*q**2 wrt q?\nAnswer: -245880*q**3 + 1344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 2*f**3\/3 - 685. Let u(h) = -1644*h**2. Calculate x(u(w)).\nAnswer: 5405472*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1015963)\/(-17647) + -58 + 0\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 19*n - 21. Suppose 0 = 8*w + 5*w - 39. Let u be t(w). Solve -4 = -2*m - s - 1, -u = -4*m + 4*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ca37 - 3a?\nAnswer: -3ca71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 689 = -687. Which is the nearest to 1? (a) -3 (b) h (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:25 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -67. Let p be (-3 + -1 + 2)\/7. Which is bigger: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318915221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -1a?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -81 and 1.03?\nAnswer: -83.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (836\/(-152))\/(1\/2) + 107. Let o(m) = -4*m**3 + 2*m**2 + m - 3. Let i be o(-3). Calculate the greatest common divisor of a and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 = -99*l + 11*l. Put 3, -3, l in ascending order.\nAnswer: -3, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*i - 75*i - z - 6 = 0, -4*i - 4 = -2*z. Put 1, -10, -1, 0, i in increasing order.\nAnswer: -10, i, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26 - (-4)\/(-2)) + -2. Let b = -14 + c. What is the remainder when (-23*(-3)\/15)\/((-2)\/(-10)) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - c**2 + 4*c + 448. What is the remainder when s(0) is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 = 66*m + 1068 + 929 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8157449 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 104200.05 months?\nAnswer: 86.833375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/6489 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j. Let g(w) = -2*w**2 + 515*w + 196. Calculate g(h(t)).\nAnswer: -32*t**2 + 2060*t + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*i - 9, -5*i - 15 = -10*l + 6*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 10. Calculate the remainder when 8 is divided by w(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 995. Let k(i) = -i**2. What is k(v(q))?\nAnswer: -9*q**4 + 5970*q**2 - 990025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8519 and 10.\nAnswer: -85190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 3\/26 (b) 2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3775 and 107675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 7 = 3*u + 4, 3*v + 9 = -u. Suppose 3*t = 2*l + 4, 7*l - 9*l = -4*t + 2. Put u, -0.2, t in decreasing order.\nAnswer: u, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i + 5 + 2*i + 5*i. Let x(f) = -6*f - 3. Let l(q) = 5*q**2 + q. Let y be l(-1). Let a = y - -3. Calculate a*x(b) + 4*s(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -56. What is the remainder when 1\/((-1430)\/(-1435) + -1)*w is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.62 from 4.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -51771, -103539, -155307?\n\"Answer: -51768*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2899 + 2898.93413. What is i rounded to three decimal places?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 609 + -591. What is the lowest common multiple of l and 111?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*j - j**3 + 139*j + 163*j - 2*j**3 + 153*j.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -6*u, -3*z + 4*u = -0*z + 2*z - 0*u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/5, 3, 11.44, -4 in descending order.\nAnswer: 11.44, 3, 0.1, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 20*c - 53. Let d(k) = k**2 + 10*k + 27. Let z(t) = -5*d(t) - 3*x(t). Let n be z(-9). Let q(m) = -2*m + 54. What is the units digit of q(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57435000 rounded to the nearest one million?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2 + 43*s + 14 = 0. What is s?\nAnswer: -14, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -31 - (13 - (-29 + 78)). Let v = -0.22 + -38.78. Which is the second biggest value? (a) v (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -23 - (-2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 266*i + 262*i = 8, -2*b - 4 = -3*i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from lllllllellllllllfl.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 9. Let b(c) = 27*c - 57. Let t(h) = -9*h + 19. Let a(x) = -3*b(x) - 8*t(x). What is the tens digit of a(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -972.000007908 + 972. Round g to seven decimal places.\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1391001663*g**6 + 10*g**2 - 857*g - 4314?\nAnswer: 166920199560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**(-2\/63)\/d)*d)**(2\/29)*((d\/(d*d\/d**(-28)))\/d*d)\/d**31 assuming d is positive.\nAnswer: d**(-109238\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2052*x + 943*x + 7139*x - 241200 = 0 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 28 - 14 - 1843*q**3 - 9*q**2 - 10 - 2*q + 1840*q**3. Determine u(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2 = u, 4*u - 2*o - 22 + 30 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (-14 - -7)) + 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 6*c + 3. Suppose 0 = 2*q + 3*k - c, k + 7 = -4*q - 2*k. Which is smaller: -9 or q?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + 4)*(-1 - -3). Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 102, -3.18, -5, 9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 + 0.05. Let x = -1.78 - w. Let b = x + 1.3. What is the second biggest value in b, 0.2, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + a - 1)*(0 - 3*a**2 + 0) - 5*a - 2*a**3 + 5*a + 2*a**3 - 3*a + a + a.\nAnswer: -3*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4.097*0.259\nAnswer: -1.061123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**4\/12 - 3*p**3\/2 + 3*p**2\/2 + 155*p - 131. Let v(z) be the first derivative of j(z). Determine v(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31152000 rounded to the nearest 100000?\nAnswer: -31200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -699 - -1029. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 106357 and -0.3?\nAnswer: -31907.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/4131221?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -5544?\nAnswer: -5543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -439790.973 - -439283. Let j = s + 508. Sort 4, -2\/17, j, -0.5.\nAnswer: -0.5, -2\/17, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 times -29?\nAnswer: 11.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 500319 divided by 175\nAnswer: 500319\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = -4914*w + 5035*w. What is y in 1\/4*y**3 - 1\/4*y**2 + 0 + 0*y + 1\/4*y**w - 1\/4*y**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 s when three letters picked without replacement from gmsimieiiims?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 165 and -17493?\nAnswer: -2886345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppfffyrpyrpr. What is prob of sequence rpyp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {f: 2, u: 2, h: 2, g: 1, t: 5, v: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 768 + 2*o**3 - 4*o - 714 to the form c*o**2 + t*o + w*o**3 + m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9546\/4995)\/(-43))\/((-1)\/(-9))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 2. What is c(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**(-32)\/(d*d*d\/d**(-1)*d)**(2\/83)*(d**(1\/5)*d*d**8)**(-1\/8) assuming d is positive.\nAnswer: d**(-23357\/1660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)\/x**(1\/2))\/((x**(-7)*x)\/(x*x*((x*x\/(x*x*x\/x**(-7)*x))\/x)\/x)))\/((x**2\/(x**0\/x))\/((x*x**(-1\/4)*x)\/(x**(-2\/15)*x*x))) assuming x is positive.\nAnswer: x**(-191\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21971540 to the power of 1\/2, to the nearest integer?\nAnswer: 4687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 164 = -2*p, -5*p - 3*o + 565 - 176 = 0. Determine y, given that -4*y**4 + 29*y**3 + 3*y**3 + 57*y - p*y**2 - 9*y = 0.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3408 is divided by 310?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33646512 is divided by 469?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - -5 - (-8 + -12). Let x = -8 + a. What is the lowest common multiple of 27 and x?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 63. Let t be g(0). Let l be (-34)\/9 - 14\/t. Let u = l + 19. Solve f + 2*f - u = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 145*w - 2. Let x be c(3). Suppose -4*y = -16, -8*m - 2*y + x = -3*m. Calculate the remainder when m is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 14 - 1\/8*r**4 - r**2 + 7\/6*r**3 - 1\/10*r**5 + 0*r + 1\/120*r**6. Let u = 15 + -9. What is i(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -1\/214, -1\/4, -1\/8, -13, -1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1. Let f = 7586 - 7587. Let p(m) = -3*m + 8. Determine f*v(w) + p(w).\nAnswer: -3*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + v - 5*v = -11, -5*y - 5 = -4*v. Suppose 7*d - y*d = 0. Let i(g) = 1 + 5 + d*g + g. Calculate i(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6656 and 3744.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3 + 20804*d**2 - 2*d - 20804 = 0.\nAnswer: -10402, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 0*x - 5*x - 7 + 2*x + 2*x. What is i(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*g + 49 = 155. Let w(s) be the first derivative of 2*s**3\/3 + s**2\/2 - 2*s - 1. Let x be w(g). What is the greatest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2796 divide 1585966692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*x - 1188 = -170*x - 155*x for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**5 - 216036*j**4 - 864288*j**3 + 4320848*j**2 + 10370496*j = 0 for j.\nAnswer: -6, -2, 0, 4, 54013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005832336967 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 10*x**2 + 16*x - 4. Let i be o(8). Let g be ((-12)\/(-9) + -2)\/(i\/18). Suppose g*y - 41 = -5. What is the remainder when 131 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j - 3. Let z be j + 2 + 94\/(-18). Which is smaller: -8 or z?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 1148.\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 13328*o**2 + 697112*o - 9080032.\nAnswer: -2*(o - 26)**2*(o + 6716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20460 + 20460.0021238. What is u rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117 + 119. Let p = 0.35 + -0.3. Is p >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1022312314412 - 1?\nAnswer: -1022312314413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 35*u**3.\nAnswer: -5*u**3*(u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 164883 - 164881. Suppose 4\/9*f**h + 0 - 4\/9*f**3 + 8\/9*f = 0. Calculate f.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 205608*v + 265512?\nAnswer: 205608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 106. Let g be c(-26). Let i(y) be the first derivative of 2\/5*y**g + 1\/15*y**3 + 3\/5*y - 10. Factor i(l).\nAnswer: (l + 1)*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27885 - -27886. Let s = -6 - -6. Suppose -4*z + 3*h = 22, s = 3*z - 0*h + 2*h + 8. Put p, 2, -5, z in descending order.\nAnswer: 2, p, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -10*m**4 + 2*m**3 - 184*m + 8. Let p(g) = 31*g**4 - 6*g**3 + 553*g - 22. Let i(w) = 11*k(w) + 4*p(w). Find the second derivative of i(n) wrt n.\nAnswer: 168*n**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252374 and 49858.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k + 64. Let z(r) = -3*r - 21. Let v(t) = 3*g(t) + 8*z(t). What is the remainder when 167 is divided by v(2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066 times 5.371595?\nAnswer: 0.35452527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 25*d**2 - 5*d. Let s be l(-3). Suppose -8*h = -12*h + s. Suppose -7*f + h + 339 = 0. What is the remainder when f is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 407*d + 804. What is j(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -55*d - 17. Let o = -30 + 34. Let i be h(o). Let z = 460 + i. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x - 9. Let a(q) = 3*q - 2. Let s(k) = 9*a(k) - 2*w(k). Let i(o) = -9*o**2. Calculate i(s(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 7*l**2 + 2*l + 48. What is d(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -4*r + 0 + 0*r**2 + 0*r**3 - 1\/4*r**4 - 3\/20*r**5. Factor k(a).\nAnswer: -3*a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nna when three letters picked without replacement from {n: 7, p: 2, a: 2}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.016 + -3.984. Sort 5, o, -3, 2 in descending order.\nAnswer: 5, 2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 + -1036)*107\/1498.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 185?\nAnswer: 16\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(19) - sqrt(304))*-2)**2.\nAnswer: -60*sqrt(19) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121400431142 - 4?\nAnswer: -121400431201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1012 and 1748?\nAnswer: 19228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -96784889 smaller than -96784889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88\/3 in 0, 25, 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 11:16 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/2 (c) -5 (d) 218 (e) -1 (f) 6\/7 (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 19 - ((-2 - -3) + 6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53682347.3374456002 + 26687.7625652998. Let y = j - 53709018. Let u = y + -17.1. Round u to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7412 (base 8) in base 11?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 60162?\nAnswer: 661782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/3))\/b**(1\/6))\/((b\/(b\/b**4))\/(b*b**(1\/3))))\/(((b\/(b\/(b*b*b**(-2\/5)*b))*b)\/b)**43*b**(-4)\/b**(-1\/3)) assuming b is positive.\nAnswer: b**(-3289\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6 + 10376*u + 12 - 10 - 10373*u. Suppose -2*s - 15 = s. What is m(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -148 from -0.73201.\nAnswer: 147.26799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) + -1 + sqrt(11))*-2 + -3*((-2*sqrt(99) - sqrt(99))\/sqrt(9))**2.\nAnswer: -285 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 210 + 0 = 0. What is the third derivative of -5*i**2 + 55*i**3 - 19*i**3 + r*i**2 wrt i?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24512, 98059, 220636, 392243, 612880, 882547?\nAnswer: 1201244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**2 - 140*k - 264 = 0.\nAnswer: -33, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (0 + 1 + 2 - (736 - 568) - -12).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clcclccsccccclcllc. Give prob of picking 1 s and 1 l.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10110022002020 (base 3) to base 14\nAnswer: 35b363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 0*i - 612 = 0. What is the derivative of i - 15*l + l + 6 wrt l?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p**3 + 2*p - 1. Let w be r(1). List the prime factors of (-32)\/(-1)*w\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**2\/2 + 4*w - 6. Let f be j(0). Solve f = -2*n - 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**5\/9 + 32*s**4\/9 + 110*s**3\/9 + 76*s**2\/9 = 0.\nAnswer: -2, -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 10*d + 12168. Let a = -10771 + d. Let g = a + 93769\/20. What is the common denominator of g and -49\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 13 = -3. Let x(z) = 2*z**p - 5*z**2 + 4*z - 10*z + 2 + z**2. Let a(h) = -2 - 2*h - 3*h + 8*h + 2*h**2 + 2*h. What is 5*a(c) + 4*x(c)?\nAnswer: 2*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825)*2*-5 + sqrt(825))\/(6*(sqrt(110)*-4)\/sqrt(10)).\nAnswer: 15*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*q**3 - 7 + 3 - 328*q**3 + 3.\nAnswer: -236*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 961576397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21\/8 + 11\/4. Let l = -158\/715 + 3\/143. What is the third biggest value in r, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.138, 3\/7, 2\/17, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**5\/20 + j**4\/12 - 2*j**2 - j - 1. Let q(v) be the first derivative of r(v). Suppose -2410*m = -2420*m. Give q(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*b - 38*b - 102 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewcwdd. What is prob of picking 1 w and 1 d?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/96)\/(31*399\/(-14136))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -36. Let f be (-473)\/(-33) - (-1)\/(-3). What is the greatest common divisor of f and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let p(r) be the second derivative of 2393*r**3\/6 - 16*r + 19. What is b(p(g))?\nAnswer: 2393*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0, 1\/18, -3 in decreasing order.\nAnswer: 0.2, 1\/18, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**2 - 6*t - 49. What are the prime factors of b(-9)?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0205077 times -0.0597\nAnswer: -0.00122430969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l + 4*s = 24*l - 12, -10*l + 3*s = 46 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10520667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -18.97, 0, 17?\nAnswer: -18.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-935*v**2 - 820*v**2 + 415*v**2)*(-1 + v**2 + 0 + 0).\nAnswer: -1340*v**4 + 1340*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(1\/15))\/t*(t*t\/(t\/t**(2\/5)))\/t)\/((t**(-4)\/t)\/t**(-2\/5)))**(-39))**(29\/2) assuming t is positive.\nAnswer: t**(-14326\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 68640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2395 is divided by 768?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 5*y - 4. Let d be v(-8). Let n = d + -9. What is the greatest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 3*m - 5. What is o(6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/12 (b) 7 (c) -1 (d) -18 (e) -11\/10 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 108 + (-4 - 11 - -17).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11609 divided by 7756\nAnswer: 11609\/7756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 + -52. Suppose i = -5*r + 15, 0 = 3*r + r - 2*i - c. Let u be (142\/639 - 52\/(-90))*(-10)\/(-2). Solve u = 5*t - r*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6 = -3*p - 3, 3*y - 5*p - 34 = 0. Suppose -4*d + 15 = d. Suppose y + d = q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 less than -508\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 6:44 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-9))\/((-3)\/27). Factor 2\/3*p**m + 0 + 2\/3*p**3 - 4\/3*p.\nAnswer: 2*p*(p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10679930 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.9 - 8. Let z = 9.1 + d. Let p = 8.015 - z. What is p rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 11:22 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 63859 divided by -19\nAnswer: -3361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -948*c + 30872 - 30872 + 756*c.\nAnswer: -192*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 - 2.3. Which is the nearest to -12? (a) -3\/2 (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*s - 34*s**4 + 41*s**3 + 36*s - 3116*s**2 - 69*s wrt s?\nAnswer: -816*s + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(605))**2*-3*-1.\nAnswer: 29040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-12))\/(((-168)\/(-1568))\/((-18)\/(-7))). Let p(x) = -3*x + 12. Let r(u) = u + 1. Determine i*r(n) - p(n).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27975 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 3*q**2 - 45 + 92.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 1. Let o(w) = 8*w + 12. Let v = -35 + 23. Let r(z) = v*m(z) - o(z). Let f(t) = -2*t**2. Determine f(r(b)).\nAnswer: -800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*f**2 - 5 - 5*f**3 - 14*f + 6*f**3 + 48*f**2 + f**3 as i*f**2 + s*f + k + n*f**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 16*g + 596. Determine q(-33).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(-4 + sqrt(162) + 0 + sqrt(162) - ((sqrt(162)*2 - sqrt(162)) + -5) - 4*(sqrt(162) - (sqrt(162) - (sqrt(162) - 1*sqrt(162))))*-3)**2.\nAnswer: 36*sqrt(2) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -2317209?\nAnswer: -14\/2317209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 35 = 0, -2*m - 70233 = 4*i - 293799. List the prime factors of i.\nAnswer: 2, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, 1, -12, -41, -92, -171?\n\"Answer: -u**3 + u**2 + u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38031 is divided by 330?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 2)*(0*j**4 - 2*j**4 + 5*j**4) in the form d*j**2 + a*j + v*j**3 + t*j**4 + q and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 0*z - 1\/2*z**2 - 5. Let v(r) = 8*r. What is n(v(f))?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**4 - m**3 + m**2 + 1. Let u = -1 + 0. Let x(w) = 3*w**2 + 1 + 0*w**2 - w**4 - 4*w**3 + 0 + 3*w**4. Let c(q) = u*l(q) + x(q). Factor c(n).\nAnswer: n**2*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**3 + 7*o**3 + 27 + 71 + 123*o**3.\nAnswer: 146*o**3 + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 15*i**2 - 6. Let s be n(-15). Let c(o) = 32*o**2 + 10*o + 15. Let b be c(s). Is (-1)\/(b\/555 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, p: 2, u: 5}. What is prob of sequence um?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 18*b - 25. Let u be p(19). Suppose 30 = -8*y + 3*y - 5*k, -20 = 3*y + 4*k. Let d be y*(9\/u - -1). Solve -2 = -d*n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -103\/5, 0.2, -3\/2, -1\/3 in ascending order.\nAnswer: -103\/5, -3\/2, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 2*f**3 + 24*f**2 - f**3.\nAnswer: -5*f**3 + 24*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.351 and -7?\nAnswer: -9.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/290)\/(4\/(-560)*-12) + (-6)\/(-5).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 39*v - 1527. Determine l(39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, -12, -31, -58, -93?\n\"Answer: -4*c**2 + c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -374017846740 plus -16?\nAnswer: -374017846756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -15650\/621 >= -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639192.\nAnswer: 2, 3, 26633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 3*l + l**2)*(l - l + l**2) + (76 - 45 + 53)*(4*l**4 + 0*l**4 - 2*l**4) in the form z*l**2 + u*l**3 + f*l**4 + a + v*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 186114403 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242919*x - 242919*x - 28263*x**2.\nAnswer: -28263*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1388, 1400, 1412, 1418, 1412, 1388, 1340, 1262?\n\"Answer: -q**3 + 6*q**2 + q + 1382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 398, 2125, 5182, 9569, 15286?\n\"Answer: 665*f**2 - 268*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7456 + 13317. List the prime factors of m.\nAnswer: 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*s = 30 + 14, -k - 1 = 2*s. Let h(y) = -y**2 + 8*y - 11. Let u be h(5). Let i be (u\/(-2))\/(6\/(-12)). Solve -i*d - 5 - k = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**3*v**2 + 7*b*v - 98741*b - v**2 - 2*v - 494249 wrt b.\nAnswer: -6*b**2*v**2 + 7*v - 98741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26816 - -26812. Let l = -0.7 + -0.3. Let b = -0.11 + 4.11. Sort l, w, -5, b in decreasing order.\nAnswer: b, l, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 597*v + 4411. Is i(43) a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1558 (base 12) in base 16?\nAnswer: -9d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41, 85, 159, 263, 397, 561?\n\"Answer: 15*a**2 - a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6619000 rounded to the nearest 100000?\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2099384775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = -0*z. Let a = z - 3. Let l be 102\/(-44) - a\/(-33). What is the smallest value in l, 8, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2113607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 2:24 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -2*t - 58. What is the remainder when t is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/7 - 20*n**3\/7 + 92*n**2\/7 - 96*n\/7.\nAnswer: -n*(n - 2)**2*(n + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*m + 0*m - 1)*(27*m**2 - 9*m**3 - 27*m**2) + 2*m + m**4 - 2*m + (1 - 2*m - 1)*(m**3 - 2*m**3 - m**3).\nAnswer: 32*m**4 - 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 714 + -28?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lddddlld. Give prob of sequence ddll.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 0 + 55 + -20\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4*d**3 - 3*d**3 - 6 - 3*d + 4*d to i*d**3 + z*d**2 + j + h*d and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 6, k: 4, g: 6, x: 1}. What is prob of sequence xgb?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*f**6 + 7*f**5 - 242*f**2 wrt f?\nAnswer: -960*f**3 + 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0*r**3 + 0 + 5\/6*r**4 - 5*r + 0*r**2. Let x(c) = c**2. Calculate u(x(a)).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -236302749*g**3 + 46079*g**2 - 952*g + 2 wrt g.\nAnswer: -1417816494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 14 - 2*u + 815*u**2 + 1341*u**2 + 0*u + 3*u.\nAnswer: 2156*u**2 + u - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + l + 10. Let d(k) = -52*k + 1399. Let f be d(27). Determine o(f).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/36 and -139\/336?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157070*h**2*s**3 - 26*h*s + 2*h + 9*s**3 + 30*s**2 - s wrt h.\nAnswer: -314140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 819333 and 531.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 15, 2*s - 130065 = -445*n + 448*n. What are the prime factors of s?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 629691.03166?\nAnswer: 629695.03166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2886 times -0.5?\nAnswer: 0.1443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n - 118*n - 5*n.\nAnswer: -139*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65801*d + 65811*d = 3220. What is the remainder when d is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -12 - 2 - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -5)\/(1\/(-3)). Let l = 2 - -1. Suppose -l*x - 4 = -5*x. Solve -2*t + o*t = -5*b + 23, -26 = -5*b - x*t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 183290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6424799 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1068 = -30*j + 64*j + 55*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 4770.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, h: 5, c: 3}. What is prob of sequence cnnh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-21) + 9\/21. Let g be ((-2)\/(-2))\/(-1)*-12. What is the biggest value in g, m, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242494*j**2 - 485332*j**2 + 242816*j**2.\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20228 + -20225. Let b(n) = -n**3 - 3*n**2 - 2*n - 4. Suppose -1 + 7 = -2*g. Let z be b(g). Put 1, 6, z, a in ascending order.\nAnswer: 1, z, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 1570 - 1586 = 4*p, -3*p - 1 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - x + 32. Give n(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32633 + 32685. What is the remainder when 445 is divided by a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 63\/152933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2)*(i**2 - 2*i**3 - i**2) - 21*i**2 + 21*i**2 - 8*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - d + 21, 0*y = 3*y + 3*d + 9. Let f be 10\/(-6)*(-1 + 8 + y). Let g(a) = a - 5. Let u(o) = -o + 6. Calculate f*g(n) - 4*u(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692 = 8*q - 4*q. Suppose -4*m + q = -x, 34 + 47 = 2*m + 5*x. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x. Let c(p) = 4*p. Let g(s) = -3*c(s) + 2*o(s). Let f(m) be the second derivative of 5*m**3\/3 - 14*m. Determine f(g(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 4:39 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 17*f**2 + 16*f - 16. What is r(16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/790134 and -41\/48517.\nAnswer: 5530938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -346505 (base 10) in base 9?\nAnswer: -577275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -31*j + 6. Let s(g) = -11*g + 2. What is 4*c(z) - 11*s(z)?\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*w + 59, -2*w + 35 = m - 6*m. List the prime factors of (-3)\/((-135)\/w) - 547\/(-9).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 7) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 0.3. Let n = 21\/16 - 135\/176. Let l be 48\/(-28) - (-4)\/(-14). Which is the nearest to s? (a) 3 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 14\/5 (b) -5 (c) -4 (d) 1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5864\/(-16)*(1 - 0 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 7*d**2 + 4*d + 6. Let y be k(6). Is y\/(-9) + (-2001)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t - 24*t + 23 = 3*z, -2*t = 3*z - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5845824 is divided by 326.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23793289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**3 + 2*y**2 + 2*y - 2. Let c = -24 + 6. Let h = c - -20. Let p be n(h). Which is smaller: p or -21?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*x - 3003*m - 1259853*x - 12 with respect to x.\nAnswer: -2*m - 1259853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s**4\/5 - 30*s**3 - 186*s**2 - 178*s - 132\/5 = 0. Calculate s.\nAnswer: -3, -1, -2\/11, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 31 = b - 6, 62*s - 54*s + 12*b = -160 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 3c355?\nAnswer: -3c351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a millennium in decades?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15036800 and 1016?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9344608 divided by -52.\nAnswer: -179704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1495671072.\nAnswer: 2, 3, 7, 2225701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21177308 - 12.\nAnswer: 21177296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00144 to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1078 and 196.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16845210 and 344785.\nAnswer: 117916470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 v when three letters picked without replacement from vvvyvjjvjj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-28)*24\/(-15). Which is the closest to 0? (a) 0 (b) l (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 + g**5 - 5*g**5 + (-36*g**3 - 240 + 240)*(g**2 - 3*g**2 + 0*g**2).\nAnswer: 70*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2. Suppose 90 = 8*o - 3*o. Suppose 0 = q - 11 - o. Let i(l) = q - 29 - 2*l**2. Determine i(j(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + -6067.667.\nAnswer: -6067.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 754572 divided by 6?\nAnswer: 125762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2859904*z**4 - 110223*z**2 - 9?\nAnswer: -68637696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178307870 divided by -35661574.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 72*i - 621. Does 51 divide c(-46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(11) + -4*(sqrt(11) + 3 + sqrt(11)))*-1)**2.\nAnswer: 168*sqrt(11) + 683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-12) - (-2)\/4. Let t = -313.14 - -309. Let s = t - -4.14. What is the nearest to s in p, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 1:09 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16020.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31455907 is divided by 177.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 489 + -483. What is the lowest common multiple of i and 794?\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1092420 and 15498.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -78 (b) -4 (c) 5\/3 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(11) - (sqrt(11) - (sqrt(44)\/sqrt(4))**2)) + (sqrt(44)\/sqrt(16) - sqrt(11)))*-6.\nAnswer: -36 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28208661, -56417357, -84626053, -112834749, -141043445?\nAnswer: -169252141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(6\/2 - 1). Let o(k) = 5*k**2 - 3*k - 3. Let i(y) = 6*y**2 - 4*y - 4. Let r(a) = m*i(a) - 5*o(a). Calculate r(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 9*c = 192. What is the least common multiple of 8 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -6\/13, 6, 1\/4, 2\/7 in decreasing order.\nAnswer: 6, 2\/7, 1\/4, -3\/7, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 3, 11, -0.5, -18, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * 14\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from ibiibbbbbbbbbi?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -6*t - 11\/6*t**3 + 0*t**4 + 0 - 9\/2*t**2 - 11\/20*t**5. Let n(i) = -5*i**3 - 5*i - 4. What is -9*n(k) + 4*z(k)?\nAnswer: k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4287308 take away -14?\nAnswer: -4287294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/3)\/l*l**(-1\/3)*(l**(-1)*l)\/l**(-4)*(l**6*l*l\/l**(1\/7))\/((l*l\/(l*(l\/l**(2\/5))\/l*l)*l)\/(l*l\/(l**(2\/3)*l*l)*l*l)) assuming l is positive.\nAnswer: l**(1133\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/5 (b) -4 (c) 0.3 (d) 2 (e) -0.045\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 588*f**3 - 5*f**2 + 15*f + 143. Let v(j) = -j**3 + j**2 - 5*j + 1. Let w(d) = s(d) + 3*v(d). Differentiate w(i) wrt i.\nAnswer: 1755*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 8*v**2 - 5*v - 35. Let u be a(-8). Suppose -3*z = -2*o + 3602, u*o + 2*z = 101 + 8904. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -26) + (-2 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -528423.2 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -58797 (b) 1\/6 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -2*w. Suppose 3*b - 6 = u, b + 3 - w = -5*u. Suppose -3*m + b + 10 = 0. Solve h + 2*t + m = 10, 0 = 3*t - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(2 - 2 + 2 + (-2 + 2 - 1)*(-1 + 2 + 1) - 2 + 1 + 3)*(-108*q**3 + 175*q**3 + 66*q**3).\nAnswer: 532*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**2 + 17*u**2 + 55 - 52617*u + 52617*u - 30*u**2.\nAnswer: -3*u**2 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from bbppbuuuubbblpbbl?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 10*k - 18*k in the form b*k + s and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**2\/2 - 15*i + 5. Calculate o(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 0*s - s**5 + (4*s**2 + 4*s - 4*s)*(3*s**3 + 2*s**3 - 3*s**3) + 0*s**5 + 0*s**5 + s**5.\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 523114.8l?\nAnswer: 523114800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, b: 2, w: 7, m: 2, f: 1, o: 4}. Give prob of picking 1 f and 2 w.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1675484.\nAnswer: 2, 418871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001 - 100?\nAnswer: -111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 7, 16, -32 in ascending order.\nAnswer: -32, 7, 16, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p + 25. Suppose -3*u = 10*u. Suppose 5*g + 2*a = 4*a + 6, -5*g + a + 3 = u. Calculate the remainder when 63 is divided by i(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 0*v**2 + 133 + 2*v**2 - 133. Let x(j) = 502*j. What is b(x(k))?\nAnswer: 504008*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2\/4 - 37*o\/4 + 7\/2.\nAnswer: (o - 7)*(5*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -70b + -315?\nAnswer: -a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 15*o**2 + 9*o + 9. What is n(-14)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5\/5 + 216*w**4\/5 - 1856*w**3\/5 + 4184*w**2\/5 + 372*w - 880 = 0. What is w?\nAnswer: -1, 1, 5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 6 = -9*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3990509781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 - 6*z**5 + z**5 + (-14*z - 5*z + 2*z)*((3*z - 4*z + 4*z)*(6*z**3 - 5*z**3 - 2*z**3) + 4*z**4 - 6*z**4 + 0*z**4 + 3*z**4 + z**3 - z**3).\nAnswer: 30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5904, -24375, -55408, -98997, -155136, -223819?\n\"Answer: f**3 - 6287*f**2 + 383*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + -10. Let g = -995 - -774. List the prime factors of c\/g - (-1492)\/34.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -12*m**3 + 4*m**2 + 7*m + 6. Let a(j) = 12*j**3 - 5*j**2 - 8*j - 7. Let t(u) = -5*a(u) - 6*i(u). Find the second derivative of t(h) wrt h.\nAnswer: 72*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**3\/3 - 2*x**2 - 4*x - 15. Calculate n(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 2220*f + 1848150.\nAnswer: 2*(f + 1665)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0*h**2 + 5 - 4*h**2 to c*h**2 + m + q*h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*q - 15*q - 2*q**2 + 16 + 29*q as s*q**2 + b + h*q and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 329, 441, 591?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36877.976 rounded to the nearest one hundred?\nAnswer: -36900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1284 and 12?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -21, 3\/7, 3.511?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 + -1.9. Let j = 14 + w. Let k = j - 11.2. Which is the third smallest value? (a) -3\/2 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-5))\/(135\/108675). Calculate the highest common divisor of z and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -8, -578, 1 in increasing order.\nAnswer: -578, -8, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001100010000100 (base 2) to base 14.\nAnswer: -61c44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*h + 6 = j, h = -1. Let c be 1 - -1 - 0*3\/(-6). Find the first derivative of -5*k + j + c*k + 2*k - 4*k wrt k.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2299811 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607 = 70*l - 233 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 58 = -52. Let r = 48 - z. 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 z = -43.64 - -45.64. Let q(a) = -a**3 + 5*a**2 + 3*a. Let j be q(5). Suppose 2*u = 7*u + j. What is the fourth smallest value in 1\/7, -5, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from bzbzzzzzbzzbb.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sox when three letters picked without replacement from ioooxhxixihisshh.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11409648 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1412 + -1404. Suppose -2*t - 1 = -5. Solve t*d = q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 22048*u + 308680\/7.\nAnswer: -2*(u - 77170)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + 4 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 56894600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h - 34*h - 20 = 0. Solve 5*d + 31 = 5*w + 11, -3*w - 5*d = h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 + 0.06. Let a = y - -0.03. Let r = 0 + 0. Are r and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/sqrt(2) + 3 - sqrt(66)\/(sqrt(24)\/sqrt(4)*3 - sqrt(6))) + -2)**2.\nAnswer: 3*sqrt(11) + 103\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.64249 and -0.1.\nAnswer: -0.74249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u + 866160 = 63*u. What are the prime factors of u?\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 11111?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105306509?\nAnswer: 7, 11, 1367617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(3\/11))\/r)\/(r\/((r**(-19)*r)\/r))*(r*(r\/(r**(-2\/21)*r)*r)\/r*r)\/r*r*(r*r*(r\/(r**5\/r))\/r)\/r assuming r is positive.\nAnswer: r**(-4766\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216210221?\nAnswer: 216210221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*j**3 - 901*j**3 + 48*j**3 - 21*j**3)*(1 - 5*j + 0*j + 0*j).\nAnswer: 4490*j**4 - 898*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 + 82. Is a\/(((-21)\/2046)\/(-7)) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/9459709 and -29\/2?\nAnswer: 18919418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2153089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2. Let t(i) = 16*i - 108. Let l be t(8). Let n = 11 + -7. Let m(b) = l + n*b**2 - 20. Give g(m(r)).\nAnswer: 48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.082? (a) 0.12 (b) 5 (c) 3\/2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - 5*o**3 + 5*o**3 + (-35 - 3*o**2 + 35)*(2*o - 2 + 2).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1561 - 1039 - 981)*(w + 0*w + 2*w) to g + m*w and give m.\nAnswer: -1377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 9 - (-1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 59 + 19 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g**2 - 14*g**2 - 13*g**2)*(-2*g - 3*g + 2*g)*(3*g + 4*g - 6*g).\nAnswer: 39*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 55, 61, 87, 139, 223?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*x - 2 = 0, s - 2*x - 19 = -7*x. Suppose w - 4*d = 2, 0*w - d = 2*w - s. Let f be 12002\/(-4) + w\/4. What is f rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 - -1.73. What is the closest to 1 in -1\/8, 3\/2, y?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1273908 = -50*x - 133908. Round x to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5104)\/(-348))\/((-22)\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**7\/840 + u**6\/60 + u**5\/40 + u**4\/24 + 3*u**3\/2 + 12*u**2. Let g(r) be the first derivative of t(r). What is g(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 237*h + 227*h - 943*h + 238*h + 2*h**3 + 241*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 + 184824*t + 1478336 = 0. What is t?\nAnswer: -46198, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162) + 0 - sqrt(162))**2 + (sqrt(162)*3)**2 + -2 + (4 + -2*((-1 + sqrt(162))*-2 + sqrt(162)))**2.\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 334*b**3\/15 + 1022704*b**2\/15 - 3083378*b\/15 + 2452 = 0.\nAnswer: -3065, 2\/167, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 20*m**4 + 6*m - 11. Let f(v) = -41*v**4 - 13*v + 22. Let i(b) = 6*f(b) + 13*y(b). Differentiate i(a) with respect to a.\nAnswer: 56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 178, 1 in decreasing order.\nAnswer: 178, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - f + 3*f - 2)*(-945*f**2 - 350*f**2 + 4 - 7) in the form w*f**2 + l + q*f + h*f**3 and give h.\nAnswer: -1295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -36. Suppose 4*y + 5*d - 21 - 189 = 0, -d + 152 = 3*y. Suppose i - y = b. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**6\/360 + f**5\/40 - f**4\/8 - f**2. Let r(v) be the second derivative of a(v). What is the first derivative of r(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 45 = -12*s, -5*a + 10081*s = 10080*s + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -2820720?\nAnswer: -1\/20148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t**3 - 3*t**2 + 2*t - 2. Let x be f(2). Suppose 4*m - 2*m - 109 = -5*d, -m = 4*d - x. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76317 - 79158 = -3*u. Suppose -47945 = -10*a + u. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/32)\/((-5)\/((-10)\/(-58)))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 925277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - 0.04. Suppose -4*f - 5*x - 25 = -0*f, -5 = 3*f + x. Suppose 4*k + q = 9, -3*k + 0*q = -2*q + 7. What is the closest to h in -1\/5, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2. Let t(u) = 2*u. Let a(f) = -16*f + 6. Let s(o) = o - 1. Let n(h) = a(h) + 6*s(h). Let d(y) = 2*n(y) + 9*t(y). What is d(w(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-52)*(-3562)\/137)\/(1\/80)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 4 - -9 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -17\/180*w**5 + 52*w**2 - 1\/6*w**3 + 0*w + 0 - 13\/72*w**4 - 7\/360*w**6. Solve x(i) = 0 for i.\nAnswer: -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/34)*b*b)\/b**(14\/9)*(b**(-15))**(-7) assuming b is positive.\nAnswer: b**(32257\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 88*c**2 - 344*c - 15. Determine v(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*g + 18074 = 0, 13*u + 30180 = 8*u + 3*g. Let t be (-2)\/((-7749)\/1938 + 4). Let p = t - u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125 + -3 - 141 - (-129 - 0)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 312bb1 (base 12) to base 11\nAnswer: 488357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39.6 - 2.7\nAnswer: 36.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*h**2 - 2950165*h + 737540.\nAnswer: 5*(h - 147508)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**3\/3 - 5*t**2 - 3*t. Let c be s(-6). Factor c + 3*y + 3*y**2 + 2 + 2 + 6*y.\nAnswer: 3*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4845802 centimeters in millimeters?\nAnswer: 4.845802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24432?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*m**4 + m**3 + 4*m**2 + 7*m + 218?\nAnswer: -156*m**2 + 6*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r - 15 = 8. Let x(p) = p**3 - p + 1. Let c(a) = 2*a**3 - 2*a + 2. Give r*c(w) + 4*x(w).\nAnswer: 2*w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1332857 and 5?\nAnswer: 1332852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 52870678.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18636.976617 + 2.234383. Let a = -18650 + b. Let n = -0.011 + a. Round n to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 5*y)*(-4725*y + 2243*y - 1 + 2340*y).\nAnswer: -568*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.01 (c) -2\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231 and 13783?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25982 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/34974 and 74\/227331.\nAnswer: 454662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, 11.45, -5, -3\/4, -2, 0.038, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1075 or 1031?\nAnswer: 1075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 2169869729949 + 2169869729949.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 44*i**2 + 54*i + 151. What is s(45)?\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -27. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 9479493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/(-4) - 9 - (-22)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 1. Let c be h(8). Suppose c*t = 275 + 33. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6*j + 462 = -3*j, -p - 5*j = -142. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -3. Let f = 14409709 - 14409707.0000027. Let h = z + f. Round h to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(148\/(-888))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -306, -468, -630, -792?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/3*(-42)\/49*(-539)\/(-770).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 6409\/(-119))*28\/(-2). What is the greatest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -48, -36, -10, 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406 - 25*o - 406.\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 601527*n**3 + 601532*n**3 + 0*n.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-12)\/21 - 144\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21046750 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 70 (b) 0.2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 935388.3 nanograms in grams?\nAnswer: 0.0009353883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/21 (b) -2\/221 (c) -2\/3 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -151*((-20)\/5)\/4. Let o be (48 - 1) + (1 - 1). Let a = i - o. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9*v = 0. Solve v = g + 2*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 331*o + 24 + 53 - 682 wrt o.\nAnswer: 331","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c - c + 4 - 12 + 10 + 0.\nAnswer: -11*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1239576393?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.1 (c) 7 (d) -3\/4 (e) -1 (f) -253866\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18607280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 1:47 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtxtptx. What is prob of picking 1 t and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*((j*j**6*j)\/j)\/j*j*j**6*(j\/j**0)**(-26) assuming j is positive.\nAnswer: j**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-156)\/(-32) - (13 + 1575\/(-120)). Let h(r) = r**3 - 5*r**2 + 6*r + 4. What is h(g)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171.33 - -175. Let k = -2.5 + 2.77. Let x = q - k. Round x to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25242 + -25114. What is the highest common factor of z and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -206*p + 211*p. Let a(g) = 11*g**2 + 23. Is a(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-15)\/w)**31\/((w*w*w\/((w*w**(-2\/11)*w*w)\/w))\/w**(-1\/4)) assuming w is positive.\nAnswer: w**(-21887\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48.12 + 0.12. Let m = -785 - -837. Let r = s + m. What is the second smallest value in 3, r, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**4\/4 - 5*o**3\/3 + 3*o**2\/2 - 3*o - 3. Let c be n(5). What is the highest common divisor of 18 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/(-380)*2)\/(12\/800).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 354433 prime?\nAnswer: False","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 xxxeuueuxx.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1550232 + 124?\nAnswer: 1550400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -60*v + 57*v - 50, -v + 3*j = -2 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 37.19 and 105.3.\nAnswer: 142.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -18*-9*1\/(-6). Let l = -24 - x. Suppose l*a - 76 - 44 = 0. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351236 to the power of 1\/2, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 35*t - 23*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*v**3 - 148391*v**2 - 6898842?\nAnswer: 69*v**2 - 296782*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9961 + 129929 + 34467 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-3)*7\/(-2). Let w = x + 14. Suppose w = -4*u - y - 1481 + 4100, 0 = 3*u + 3*y - 1962. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 548 - 394. Suppose 49 + p = 29*s. Solve s*u - 5 = 8*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)\/(sqrt(40)\/(sqrt(15)\/sqrt(3))))\/(sqrt(36)\/(-2*sqrt(363))).\nAnswer: -22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0322407 and -4.\nAnswer: -3.9677593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 10 + -1 + -29 + -3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0, 2, 4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 261010565513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 - (-92 + 10) - (-2 - 21).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*m + 59*m - 18*m - 167 - 121 to the form v + l*m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/15869?\nAnswer: -12\/15869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 1. Let f be h(-4). Let w be (-8)\/2 - (-4)\/2. List the prime factors of w\/1*(-1 + f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01416117175 rounded to 4 decimal places?\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3 - 1) + -3 + 0 - -3 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7216 + -0.23?\nAnswer: 7215.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 13 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -940 (b) -5\/4 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2458422.5 to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.4728 centimeters in nanometers?\nAnswer: 3054728000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -21*b**2\/5 + 38515091*b\/5 + 1834052\/5 = 0.\nAnswer: -1\/21, 1834052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*5*(5 + sqrt(44) + (sqrt(704))**2 + -4).\nAnswer: -7050 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 - -2) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/4 - (-3)\/2. Suppose 50 + 65 = 5*x - p*s, 0 = 3*x - s - 69. Calculate the remainder when x is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1331726.98 to the nearest one hundred.\nAnswer: 1331700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**2. Let r(j) be the second derivative of -j**7\/1260 - j**4\/6 + 2*j. Let i(l) be the third derivative of r(l). What is i(p(u))?\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, 99, 255, 473, 753, 1095?\n\"Answer: 31*g**2 + g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14aab4 + -a?\nAnswer: 14aaa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 - 2565*r**2 - 6*r**3 + 864*r**2 + 856*r**2 + 845*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 7*r**2 - 10*r + 3. Let d be t(-2). Solve d*i = 4*p - 7 - 12, 12 = 4*p + 4*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1946 + 1947. Calculate the remainder when 14 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20259 and 13506?\nAnswer: 40518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-19)\/3)\/((-3)\/9). Suppose -4*d + 53 + 6 = -3*l, -v = -d + 5*l. Suppose -d = -n - 5. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -103 (b) -3 (c) -4\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6523.\nAnswer: 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4528678 and 539?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -36 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 564912 by -6.\nAnswer: -94152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + q + 439 = 0, 224 = -a + 3*a - 2*q. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*c = -5, 0 = o + 2*c - 4*c + 1. Suppose -17 - 2 = 2*p + 5*a, -4*p + o = a. What is the third derivative of v**2 + v**3 + 0*v**3 + 2*v**p wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05299038 * 1.7.\nAnswer: 0.090083646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 132*749\/1284 - 123\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 36*q**2 - 4635*q - 4631. Determine h(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 + 3*l - 2.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 3*a**3 - 6*a**3 - a**3 + 2*a**3 - 3*a**3 + (-3*a**2 + 0*a**2 + 4*a**2)*(a + 0*a + 0*a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - -7 - (-53 - -80)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 x when four letters picked without replacement from xvvxxxx.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, -628, -994, -1402, -1846?\nAnswer: -2320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, d: 1, v: 1, m: 1, f: 1}. What is prob of picking 1 q, 1 v, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09594341 rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6 - 13 - 6*u - 12*u - 32*u**2 + 30*u**2. Let k be x(-8). Let m(z) = -4*z + 0 - 3 + 0. What is m(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -16 + 13 + (2 - (3 - 1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 1:37 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71860764.\nAnswer: 2, 3, 613, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-5) + 6\/120. Factor i + 1\/2*q + 0*q**2 - 1\/2*q**3 - 1\/4*q**4.\nAnswer: -(q - 1)*(q + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*o**3 + o - 7 - 111*o**3 - 7 - 9*o**4 + 5 to l*o**2 + a*o**3 + s + t*o**4 + f*o and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-408)\/510*(-1)\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -5*y - 3*z, 3 = -y + 4*z + 8. Let n(l) be the third derivative of -l**5\/60 - l**4\/4 + l**3 + 10*l**2 + 22*l. Determine n(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*y - 5*y - r, 2*r + 8 = 3*y. Let x(o) = 2*o - 1. Let k be x(-1). Put 1, k, y in descending order.\nAnswer: 1, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5851*k - 5527. What is u(1)?\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 58115540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 40. Suppose -3*i + j = -5*o - 43, -3*o - 28 = -i. Solve w - 5 = -p, -4*p - w + i = w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2.8, 24\/5, -881?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113644 - 66644. What is m rounded to the nearest 1000?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/((-6)\/22))\/1. Suppose 4*c + 9 + 19 = 0. Let d = j + c. Solve 7*q - 5*m = 2*q, -d*q = m + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -7, -1366, -2 in descending order.\nAnswer: -2, -7, -107, -1366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 12*f + 5. Let m be k(-11). Let b be (-375)\/m - 1\/(-2). Calculate the greatest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/183 or 2?\nAnswer: 43\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 3*r**2 + 18*r + 4. Let s be b(-3). Solve -5*n - 10 = -5*m, s*n - 12 = 7*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -53. Which is the third smallest value? (a) 2 (b) 2\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -13, -1, 0 in decreasing order.\nAnswer: 0, -1, -5\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -2378 and -30933\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z + 13. Determine x(-10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 186*v + 560 - 1123 + 563 in the form q + w*v + i*v**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 145060 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -85, 0.6, 5\/9834?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 r when four letters picked without replacement from {n: 5, l: 3, r: 8}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -17, 0 in descending order.\nAnswer: 1, 0, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 448*r + 871*r + 993*r - 281*r - 263*r to the form o + z*r and give z.\nAnswer: 1768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 10:39 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/4 - 11*x**3\/3 - 2*x**2 - 13*x - 1. What are the prime factors of p(-11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2387 is divided by 1185.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35637 + 35632. Put c, -7, -6\/47 in descending order.\nAnswer: -6\/47, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/2280 and -53\/510.\nAnswer: 38760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16c (base 15) to base 8\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.126 - 0.18. What is the third smallest value in 1\/2, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 10:57 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -7*t + 23*t. Suppose -7*r + 2*r + 3598 = 2*n, -4 = -n. Suppose 0 = -l - t*a + 148, 5*a - r = -5*l + 7*a. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14452771.\nAnswer: 17, 67, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-10 - (-3 - -1) - (18 - 29)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 455\/46? (a) 1 (b) -1\/5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78\/35 - 9\/5. Let w = -5 + 10. Let i = 19 - 23. Sort p, w, i.\nAnswer: i, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -334*q*w - 497*w with respect to q.\nAnswer: -334*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-17)))**(-41)\/((t**(2\/7)*t)\/t)**(-1\/35) assuming t is positive.\nAnswer: t**(170767\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 877, 1534, 2199, 2872, 3553?\nAnswer: 4242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -43*f + 40*f - 5*v, -v = 3*f - 56. Let i = 9 + -4. Solve -f = c + 4*m, c - 2*c + m = -i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*x = 194*x + 9. Let h(t) = -2*t**2 - t - 1. Let a be h(-1). Sort 5, a, x, -1 in increasing order.\nAnswer: x, a, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -y - r, 8*y + 4*r = 3*y - 3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6820, 6482, 5910, 5110, 4088, 2850, 1402?\n\"Answer: k**3 - 123*k**2 + 24*k + 6918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 + -106. Sort -3, -38, d in decreasing order.\nAnswer: d, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (50\/20)\/((-2)\/(-32)). What is the greatest common divisor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g - 15 = 0. Let a be (-2)\/(2 - (g - -3 - 0)). Let w(f) = -f - 2. Determine w(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 22*a - 21. Let j(p) = 24*p - 22. Let n(h) = 4*j(h) - 3*k(h). Is n(6) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 140, 163, 198, 251, 328, 435?\n\"Answer: y**3 + 16*y + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 3 + 6 - 15*l to m*l + y and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**5\/2 + 1419*f**4\/2 + 15129*f**3\/2 - 1017291*f**2\/2 - 515499*f = 0?\nAnswer: -31, -1, 0, 23, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 24849*z - 24848*z + 13, -7 = 3*z + 4*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 - 6*d - 12. Let m be z(-5). Let q = m + 62. Let j(t) = -2*t**3 + 4 + 6*t**2 - 2*t - 3*t + t**3. Calculate j(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21741 rounded to the nearest 100?\nAnswer: 21700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**3 + 6*i**2 + 25*i. Let y(z) = -6*z**3 + 7*z**2 + 25*z. Let p(n) = -7*o(n) + 6*y(n). Let w(v) be the second derivative of p(v). Give w(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(441)\/(sqrt(7) - (sqrt(1008) + sqrt(1008)*2)))\/(4*(sqrt(144) - sqrt(144)*1 - (2*sqrt(36) + sqrt(36) + sqrt(9)))).\nAnswer: sqrt(7)\/490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-33) + 156\/(-308) and ((-21)\/490)\/(-1 + 34\/30).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 6:16 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*r - 2 + 44 = 0, -q + 12 = -4*r. Calculate the least common multiple of 13 and q.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/(((-88)\/187)\/4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 2 + 18. Sort b, 2, -2 in descending order.\nAnswer: 2, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -750\/3809 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let u(o) = -18*o - 9. Calculate u(w(v)).\nAnswer: 18*v - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 184441753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-4)\/((-1)\/((-5)\/15)))\/((-412)\/5562)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274394, 548781, 823162, 1097537, 1371906, 1646269?\nAnswer: 1920626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -173, 2\/11, -70?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 > 1135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24549 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5) + (-1 - 1026\/110 - -11)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 52*v**2 + 13*v + 24. Let n be m(-2). Which is smaller: n or 226?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 = 5*h, -o + h + 3*h = -8. Let u be 2*o*3\/18*12. Suppose -x = -5*y + 4*y + 4, -y - 2*x = -u. What is the smallest common multiple of y and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/11 - -28\/33. Is 1 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 215*y - 6 - 240*y in the form h*y + a and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 120110 (base 3) to base 2\nAnswer: 110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3022 + 3021. What is the second biggest value in w, -4, -3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 - 60*v**4 - 69*v**2 + 5 + 64*v**2 - 56*v**4 wrt v.\nAnswer: -2784*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 439 = y + 1539, -5*q + 5480 = 5*y. Let s be (-35000)\/(-21)*q\/(-3). Round s to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 36, 56, 74, 90?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -248485*a**2. Let d(t) = 2*t**2. Determine q(d(i)).\nAnswer: -993940*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 14088*a**3 + 14*a**2 + 16*a - 440. Let j be y(14). What is j rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61 - -44) + (-5 - -2) + 3 + 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12\/55 - 2829\/110. What is the common denominator of -14\/395 and f?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009387636 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6968951746?\nAnswer: 2, 17, 19, 23, 469037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2214855 nanoseconds to milliseconds.\nAnswer: 0.0000002214855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09163 and -97?\nAnswer: -8.88811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 1735 + 643 = 0. Let g be (d\/(-8))\/(21\/14). What is the greatest common divisor of g and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 5*g - 14. Let p be h(-7). Solve -3*d + 4 = 3*i - 2*i, -4*d + 3*i - 12 = p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o + 825 = -29*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 11. Let n be p(4). Let t = 2322 - 2324. Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 5*n - 99. Let s be p(0). Let f = 128 + s. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from ccccccccccccccaccc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1525445911506*k**3 - 277564514286*k**2 - 76637169*k\/2 - 1323 = 0. Calculate k.\nAnswer: -2\/11, -21\/304058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) + sqrt(144)*2)\/sqrt(6) - (sqrt(600)*-1 + sqrt(600)))*1)\/((sqrt(864) + -2*sqrt(864) - sqrt(24) - sqrt(24))\/((-1*sqrt(33))\/sqrt(11))) + 1.\nAnswer: 3*sqrt(3)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 21\/2*h**3 - 9\/10*h**6 - 1\/2*h**4 - 2 - 33\/10*h**5 + 1\/14*h**7 + 33\/2*h**2 + 18*h. Factor j(q).\nAnswer: 3*(q - 11)*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - 4*n**2 + n**2)*(228*n**3 + 6 - 224*n**3 + 4).\nAnswer: -12*n**5 - 30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118\/3*j**2 - 356\/9*j - 2\/9 = 0. What is j?\nAnswer: -1, -1\/177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w - 33. Is k(-22) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 829560*h**5 - h**2*m**3 + 2*h*m**3 - 427*h*m + 2*h + 20*m**3 + 8*m**2 wrt h.\nAnswer: 16591200*h**3 - 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = -w, 3*w + w - 3*l + 46 = 0. What is the tens digit of ((-124)\/w)\/((-12)\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 193*z + 8668. Let k be i(-71). Let n(b) be the third derivative of 1\/24*b**4 - b**2 + 0*b + 0 - 5\/6*b**3. What is n(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r - 31 + 31 as j*r + p and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318375052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-84 + 45) - 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (2 + (-11 - -8) + 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**2 + 3*y - 3. Let m(r) = 9*r**2 - 7*r + 7. Let x(d) = -7*j(d) - 3*m(d). Let s(z) = z + 0*z + 3*z. What is s(x(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.963928t?\nAnswer: 963.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8*y + 295 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 54*d**2 + 57*d.\nAnswer: -3*d*(d - 1)*(d + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q**2 - 88*q**2 + 47*q**2 + 156731*q**3 - 156752*q**3.\nAnswer: -21*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1 + 4255?\nAnswer: 4264.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1295, 1296, 1297, 1298?\n\"Answer: r + 1294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*v - 201*v + 29*v + 77*v)*(-15 + 15 + 32) to the form h*v + u and give h.\nAnswer: -2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -300?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**2 + 11*y + 11. Let q(b) = -2*b**2 - 4*b - 4. Let m(a) = -4*i(a) - 11*q(a). Let k(z) = -5*z**2. What is m(k(h))?\nAnswer: 50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j. Let y = -230 + 240. Let u(z) = 3*z - 5*z + y*z. Give u(i(l)).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 86. Which is bigger: -70 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 74.11029?\nAnswer: -666.99261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6 + 8)*(-7 - -5). Solve 2*l - y*a = 4, 3*l - 1 = -2*a - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 575047 and 18854.\nAnswer: 1150094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6120 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25906722 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010032397 to four decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) -2\/41 (c) -0.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-343))\/(108\/42 + -3)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k - 25*k - 93*k**3 + 125*k**3 + 1 + 5*k + 164*k**3.\nAnswer: 196*k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(11) + sqrt(275) + 1.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chsel. Give prob of sequence ls.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(4\/5))\/u)\/u)\/u**(1\/8))\/(u\/((u**(6\/13)\/u*u)\/u))**(-3) assuming u is positive.\nAnswer: u**(2231\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 3*b**2 + b + 1. Let d be c(2). Let m = -3 - -5. Suppose -4*y - 6 = 2*o, m*o - 4*o + 2*y = -6. Sort d, -2, o in increasing order.\nAnswer: -2, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from feffffeffe.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m + 604 - 68 = -44*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**12\/u*u)*u)**(4\/13)*(u\/u**(-6))\/(u*u**(1\/11)*u))**(-20\/9) assuming u is positive.\nAnswer: u**(-680\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 957, 253 in descending order.\nAnswer: 957, 253, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**2 - 13*p - 40. What are the prime factors of b(-4)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) - (sqrt(300) + (-5*sqrt(300))**2) - (sqrt(3) + (-3 + sqrt(3)*2)**2).\nAnswer: -7521 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57744235 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/12, -2, -2\/3, 3\/8, 0.3, -3\/170?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -484 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 19*x**2 - 7*x - 11. Suppose 6*i - 2*i = 24. Let o be ((-160)\/(-6))\/5 + 4\/i. Is d(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120332 - -3?\nAnswer: 121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63168621 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: 51*4987995\nAnswer: 254387745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59574954 rounded to 2 dps?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -361776074.767 and -17.1.\nAnswer: -361776091.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.2 and 0.3.\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7756225*g**2 + 6521295*g**2 + 5405017*g**2.\nAnswer: 19682537*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -22. Let u(c) = c + 3. What is u(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24046*v**3 + 7350*v**3 - 6582*v**3.\nAnswer: 24814*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaa. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4.1. Suppose -14*q - 462 = -7*q. Let a = 63 + q. What is the second biggest value in a, v, -2\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 - 5.13. Let l = v + -0.1. Let x = 15.7 + -16. Which is the nearest to 0.1? (a) 2\/5 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d*d**(-2\/19)))*d**(-2\/23))**(-5\/6) assuming d is positive.\nAnswer: d**(-1975\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.52849 less than -5?\nAnswer: -38.52849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18400440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let o(h) = 3*h - 2. Let l(r) = 7*r - 5. Let u(f) = -4*l(f) + 10*o(f). Calculate 9*j(g) - 4*u(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 225004, 225011, 225022, 225037?\n\"Answer: 2*v**2 + v + 225001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/3840 and 47\/38784?\nAnswer: 387840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6324*s - 68850. Give j(-11).\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40 + 19 - 19)*(8*t**3 - 26*t**3 - 11*t**3) to z*t + p*t**2 + x*t**3 + f and give x.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 258 + 152. Suppose -2*r + d = 88. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86*k**3 - 6*k**2 - 3906*k + 1.\nAnswer: -516*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d - 23. What is the remainder when 65 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 74*b - 5019. Determine z(43).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55.2*0.16.\nAnswer: 8.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:59 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(2*sqrt(24) - sqrt(6) - sqrt(6)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 48 = 8. Suppose t*h = 11*h - 23841. Let w = 250 + h. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13073\/3, -5, 958\/9?\nAnswer: 958\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -q + 3*n + 337, 5*n = 4*q - 1304. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/91 - 1\/13. Let r = 168 - 169. Which is greater: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 516\/11, -18\/157, 0.3?\nAnswer: 516\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 5*d**2 + 7*d - 8. Let o be y(4). Suppose o*l = j - 1182, 0*j + 5*j + 2*l - 5932 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 711\/63 - (-64)\/(-224). Solve -4*v + 55 = -4*g + 35, 5*v = -4*g - k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of (-40)\/70*10150\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769873927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 269.9999451 - 270. Round s to 6 dps.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 1. Suppose -2*p + 3*x + 32 = 0, -5*x + 11 - 1 = 0. Suppose -59 = 3*a - l, 0 = 3*a + 7*l - 9*l + 55. Let y = p + a. Calculate k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = 4*b. Let t = -3 - b. What is the first derivative of 0*n**4 - 2*n**4 - t + 3*n**4 wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984175?\nAnswer: 5, 79367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*27\/(-32) - -2. Let f(b) be the first derivative of r*b**4 + 1 - 1\/2*b - 5\/8*b**2 + 1\/6*b**3. Factor f(c).\nAnswer: (c - 1)*(c + 1)*(5*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 455771.97 to the nearest 1000.\nAnswer: 456000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v = -16, 2*p - 5*v = -18. Let y be -2 + -1 - 245\/(-77). Let c = -117.3 - -117. What is the closest to c in y, -3, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 14*t - 41. Let c be d(-6). Let q(g) be the first derivative of -9\/2*g**2 - 6*g - g**3 + c. Factor q(i).\nAnswer: -3*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-58400006)\/4 + (-3)\/(-2). Round l to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-104)\/(-26))\/(0 + 1). Suppose 4*y = j + 177, 3*j = y + 4*y - 223. What is the greatest common divisor of y and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-48) - (16\/6 + -2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.171 + 0.1709971. What is j rounded to seven decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 18, 78, 204, 420, 750, 1218?\nAnswer: 1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 4*r - 1. Let n be b(4). Let z = 3 + n. Let p be 2\/4 + 1\/z. Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*t - 116*t + 2 + 4*t**3 to the form w + v*t**3 + o*t + c*t**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llljllljlljlljllll. Give prob of picking 3 l and 1 j.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1781842336.144347988592520012 + 0.144347498592520012. Let x = -1781842322 - y. Let f = -14 + x. Round f to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - ((-2 + 0 + -4 - 4) + 5 + 9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -28*m**3 - 3*m**2 - 2*m - 7. Let r be q(-3). Suppose -4*n = -r + 136. What are the prime factors of n?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4478 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z. Determine l(22).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 0 + 0 - a**2 - 6*a. Let z be s(-6). Suppose z*x = -x + 4. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14952?\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -566, -440, -226, 82, 490, 1004?\n\"Answer: z**3 + 38*z**2 + 5*z - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 0*a - a**2 + 2 - 7*a + 4. Is p(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/372 and -83\/246.\nAnswer: 15252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2570100 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**5\/10 - 17*s**4\/12 + 7*s**3\/3 - 11*s**2\/2 + 123*s + 1. Does 16 divide j(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 - 41*n**2 - 46*n - 12. Let s(f) = -f**2 + 19*f - 3. Let r be s(18). Does 9 divide q(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b - 544 = -149 + 405 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1 + -217)\/(-3))\/(2\/5). Suppose -2*d + 6 = 0, -3*r + d - 6 = -3*d. Let s be (r + (-26)\/3)*-3. What is the greatest common divisor of s and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9) + (-770)\/(-6). Does 5 divide s\/4 - (15\/12 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, 0, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - s = -82 - 94, 182 = -2*k - 2*s. Let m = -69 - k. Solve 4*l + 4 = m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r - 4488 = -4016 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 55*s - 58*s - 2, 0 = -5*s + 4*m + 26 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2159203 is divided by 15994.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3909 and 25368107?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 5*i - 5*i)*(6*i + 2 + 0*i - 65*i).\nAnswer: 118*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 11*i. Let m be x(4). Suppose y + 4*t = 9, 3*y - 3*t - 14 = m. Solve -4*u + y = -7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 - (2 - (-29 + -17) - 16))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 7. Let s be 2 + w + 7 - 0. Let k be (2 - 4) + 8\/2. Calculate the greatest common divisor of k and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14*v - 10*v = -32, -2*v = 3*y - 16. Solve 0 = -3*x - 5*h + 22, -y*x - 2*h + 24 = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2488 and 1427801?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1455 + 89*d - 700*d - 1038*d wrt d.\nAnswer: -1649","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1883350573 by -4121.\nAnswer: -457013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -14.8. Let s = -51.81 - -52. Let w = y + s. What is w rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*u - 7464 = 1203 + 6237 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20867 is divided by 804.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1125 + 1129. Solve -a*i - 12*i = 48 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 5*w**2 - 7*w - 5. Let m be h(-6). Let u be 5 + -2 + m + 0. Which is smaller: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**4\/12 + 2*r**2 - 11. Let g(n) be the second derivative of x(n). Let w(z) = 4*z - z - z. Give w(g(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -67416*b - 1259. Is h(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17580 or -3885386\/221?\nAnswer: -17580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-79)\/(7110\/1680)*1362\/(-4).\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 37944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 80*w + 76*w + 4, i - 2 = -3*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -526 (base 10) to base 11\nAnswer: -439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 3*z + 3480. Let u be 8\/(-12) - z\/9. Let q = u - 68. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*w - 3 - 11, 0 = -n - 3*w + 8. Let u = 21\/95 - 8\/19. Which is the closest to 0.1? (a) n (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160548461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 243*k + 5778. Calculate u(-25).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 35049558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27760 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: What is the value of -4 - (6 + -7) - (-1 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -158620 divided by 4?\nAnswer: -39655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(((-8)\/6)\/(-4)). Let h be (w\/(-9))\/(2\/(-4)). Let v(r) = r**2 - 1. Let g be v(-1). Solve 0 = -2*s - g - h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-760)\/285 + 104\/(-24) - (16 - 1*-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17, -40, -63, -80, -85, -72, -35, 32?\n\"Answer: a**3 - 6*a**2 - 12*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21380050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, s: 3, d: 3}. What is prob of picking 3 s and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*d - 1635, 5*d - 4684 = 3*z - 607. List the prime factors of d.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11*n**3 + n**2 - 1. Determine t(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -3*d + 127. Let y be 0\/(-2) + -1 + 20 + d. Calculate the greatest common divisor of y and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 1, 43, 1\/4?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*a = -z + 1259, -5*z + 1274 = 3*a. List the prime factors of z.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327612587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*v - o = 294*v + 23, -65*o + 63*o - 244 = -39*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7571 - 4857. List the prime factors of c.\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17854765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.001666, -4, -2, 6, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 11*o + 66 = 0. Solve -o*f + 7*f + 17 = -3*w, 10 = -2*f - 2*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1276)\/(-33) + -3 + 1\/3. What is the highest common divisor of 186 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**3 + 7*b**2 - 5*b - 3. Let z(g) = 7*g**3 + 9*g**2 - 7*g - 4. Let v(k) = -4*p(k) + 3*z(k). What is v(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 15) in base 3?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19522, 46239, 72956, 99673?\nAnswer: 126390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.64 + 0.4. Is p less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 - -185. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 5*k**2 - 15*k + 4. Let f be l(7). Let w be ((-11)\/5 - f)\/(1\/70). Solve 36 - w = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3 + 50\/(-24).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65421.67 rounded to the nearest one hundred?\nAnswer: 65400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*y = -576, -y = 5*b - 3*y - 951. Calculate the lowest common multiple of 6 and b.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 4 + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 12. Suppose 12*l = c*l - 20. Solve 0 = -3*d + l*r + 12, 4*d + 2*r + 0*r - 16 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1394 times -0.2\nAnswer: -278.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + 95*k + 465. Determine y(-4).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0*h + 465 - 509 + 10*h. Let c be i(6). Solve -2*p = 3*p + 4*y + 13, -c = 5*p + 3*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -51\/5356 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, -3, -36, -103, -216, -387, -628?\n\"Answer: -2*z**3 + z**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(-2 + sqrt(1216) + sqrt(1216) + -2))**2.\nAnswer: -4224*sqrt(19) + 175588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3192)\/64925 + ((-1694)\/4081)\/(-11)\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwjwj. What is prob of picking 1 j and 2 w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13))**(-20\/7) assuming x is positive.\nAnswer: x**(260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92814.31nm in meters?\nAnswer: 0.00009281431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*r = 176*r - 90540. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 + 78. Let r = w + 91. Suppose -3*q + r = 5*z, 5*z - 14 = 2*q + 12. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -2\/779, -3, 3, 2, -73?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.057149872 to 2 dps.\nAnswer: 3.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323211001012 - -11?\nAnswer: -323211001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**6\/40 + 11*r**5\/30 + 7*r**4\/24 + 3*r**2 - r - 204. Let v(u) be the second derivative of w(u). Factor v(k).\nAnswer: k*(k + 7)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3)\/r)**(2\/71)\/((r*r**(-5)\/r)\/(r*r*r**4*r*r)))\/(r*r**0*r*r**4*r*r*r**(-2\/15)\/(r*r\/(r\/r**(2\/7)))) assuming r is positive.\nAnswer: r**(15858\/2485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-7))\/(32\/112)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -33501614?\nAnswer: -33501620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36480525 is divided by 11008?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 - 3*r**3 + 4*r**3)*(1 + 2 - 2)*(0*r + r + r).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557*l - 556*l - 566*l + 2213*l - 552*l + 92*l**2.\nAnswer: 92*l**2 - 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1745 divided by 5?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1711734 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42054558*s**2*z**3 + 2*s**2*z**2 + 230*s**2*z + 2*s*z**2 - 2*s + 3*z**2 + 204 wrt z.\nAnswer: 252327348*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2223 + -5?\nAnswer: 2217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 20892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 2. Suppose -5*f = -5*b - 20, -11 = -2*f + 3*b - 4. Let t(n) = 3*n**2 + 5. Let j(a) = f*m(a) - 2*t(a). Let h(k) = 8*k**2. Calculate h(j(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 10. Let f = 4 + t. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/71 and 47\/315502.\nAnswer: 22400642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -15*b + 7. Let k be f(6). Let o = -43 - k. What is the highest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 23754 = -24*v. Let y = -467 + v. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93491*o**3 - o - 2 - 21*o**4 - 93491*o**3 + 2*o**2 to the form w*o**4 + y + s*o + k*o**3 + f*o**2 and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 3186*k**2 - 108 + 3201*k**2.\nAnswer: 15*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-64)\/(-312))\/(-4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n. Let i(y) = -58*y**2 + 4*y - 16. Determine r(i(s)).\nAnswer: -116*s**2 + 8*s - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 948094703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 8*p**2 + 9*p + 2. Let m be y(-9). Suppose b - 170 = 3*x + 5*b, -2*x = -m*b + 118. Let i = 86 - x. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 52 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18052580 a multiple of 436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -25 + 63 - 4*p - 36. Let r be (-72)\/(-42) - (-4)\/14. Let f(j) = 2*j + 1 + 0*j - 3*j. Give r*f(a) - w(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-7))\/(3\/(-21)). Solve 3*s + 12 = -5*j, 4*j + 7 = -2*s - z*s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251108291 to the power of 1\/3, to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21021 + 21022221?\nAnswer: 21121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-5060)*30*2\/3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = 6. Let n(t) = -t**3 - 5*t**2 + 7*t + 5. Let g be n(d). Let m be (-2)\/1*g\/(-2). Put 3, m, 5 in decreasing order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 12 = o, 4*g - o - 2*o = -2. Let y = 0.862 - 4.777. Let p = -0.085 + y. Sort 0, g, p.\nAnswer: p, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -10. Let k = 7 + g. Which is smaller: k or 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 93.4289cm?\nAnswer: 0.000934289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-22)\/u**8)**(4\/15) assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*i - 20*i + 37*i)*(3 - 2 + 0)*(3 - 3 - i).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787863 = 50*l - 306187. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125 - (108 - 6) - 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1585, -3809, -6033, -8257, -10481, -12705?\nAnswer: -14929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18546*m - 449956.\nAnswer: 18546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 69 - 2*k**2 + 0*k - 1\/3*k**3. Calculate t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 52, 101, 150?\n\"Answer: 49*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*s + 4 - 85*s - 109*s as y*s + r and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/12 - 4*v. Let r(t) = 10*t**2 - 2*t. Let k(q) = 18*i(q) + 2*r(q). Factor k(x).\nAnswer: 2*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 8.6, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 81 - -247325?\nAnswer: 247406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -166) + 106 - 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(35\/(350\/20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + -6. Let q = i + 16. Factor a + 2 + 0*a - 4*a**4 - a**5 + 4*a + 0*a**q + 2*a**2 - 4*a**3.\nAnswer: -(a - 1)*(a + 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**4\/24 - p**3\/2 + 4*p**2. Let i be r(3). Let m = i - -3. Solve m*z - 5*z + 2*s = -4, z + s = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5}. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -72? (a) 8\/33 (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(45)\/(2*sqrt(9)) - ((2 + sqrt(5))**2 + 4)).\nAnswer: -12 - 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*u - 647 - 919 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26 and 24\/2631397?\nAnswer: 2631397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -43. Suppose 23 = 3*v - 5*k, -4*v - 5*k + 0*k = -a. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**3\/3 + 2*i**2 + i - 14. What is c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3138242 to the nearest 1000.\nAnswer: 3138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5004 and 53\/763944.\nAnswer: 2291832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 11. Let k = 438 + -445. Determine v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34210.\nAnswer: 2, 5, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 10:23 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 18*l**2 - 17*l + 43. Let x be r(-19). Let o be (-2 - (-91 + 0)) + 5\/x. Suppose 4 = d - 41. Calculate the greatest common divisor of o and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**2 - 65*a**2 - 66*a**2.\nAnswer: -146*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 28 = -v. Let r be 2\/(-8)*8\/v. Suppose 0 = -4*j - 2*x + 10, 4*j + 0*x = -x + 7. Which is the nearest to j? (a) 5 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*y)*(101*y - 101*y + 17*y**4).\nAnswer: 51*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*v, -v - 8 = -5*u + 6. Suppose 5*x = 5*q + 125 - 30, -u*q + 41 = 4*x. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-4)\/9)*-4. Let l = -99 - -110. Let m = l - b. Solve 2*c - m*u = -4, 0*c - c = -5*u + 22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30513992413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -1, -131\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -38 in descending order.\nAnswer: 4, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 31 + 2*a**2 - 29)*(a**2 + 4 - 4).\nAnswer: 2*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110100001001 (base 2) to base 16.\nAnswer: -3d09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -13*z**2 + 136*z - 175. What is d(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32\/7 + -89\/21. Let q = -6 + 10. Suppose -q*n - 4 = -0*n. Which is smaller: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 46129*c**2. Let s(o) = -15*o**2 - 9. Calculate s(l(n)).\nAnswer: -31918269615*n**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 7\/8, -0.1, -5 in descending order.\nAnswer: 10, 7\/8, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -43, -0.5, -390?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 39. Let p be d(-9). Suppose -3*q = -4*m + 27 + 11, -m - p*q + 17 = 0. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzk. Give prob of sequence zkk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 4*c**2 + 0*c**2 - 3*c**2 + 3*c**2 + 0*c**2.\nAnswer: -c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 866459646?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b - 1. Calculate the smallest common multiple of q(-1) and (-5 + 39\/15)\/((-6)\/20).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10476 by 6.\nAnswer: -1746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 0*v + 2*v)*(3*v + 3*v - 4*v)*(9456 - 2045 + 7090) to p + f*v + l*v**2 and give l.\nAnswer: 58004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-24) - 10\/(-4). Suppose 107 = s + s + 3*t, 0 = -2*s + 2*t + 102. Suppose s = -f*g - 112. Find the common denominator of g and 11\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -13 - (-1 + 7 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2989 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/5 - 3924*l\/5 - 95048.\nAnswer: 4*(l - 1090)*(l + 109)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 144846748 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.107, -0.4, 11\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 702 or 703?\nAnswer: 703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {n: 1, s: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3742189*0.3.\nAnswer: 1122656.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - 0.26. Let v = 0.4 + -3.4. Let m = 4 + v. Put l, m, 0.3 in ascending order.\nAnswer: l, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omvjvmwwn. What is prob of sequence vw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/638 and -167\/2442?\nAnswer: 70818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from bhbhchhbhhhbhcbhhbh.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 4*p - 160 = 0. Let s = -10 - -14. What is the least common multiple of p and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2171992962 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 369 and 98\/10 + (-64)\/80?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4*l + 2*l)*(-38*l + 1154 - 1154) + 2 + 3*l**2 + 4*l - 4*l.\nAnswer: 41*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78119362?\nAnswer: 2, 23, 1698247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -39572 and -39571 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 12 + 3)*(77 + 41*i + 85 - 157)*(-1 + 1 + 1) to j + m*i and give m.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 29*v + 482. Determine y(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - y + 1394, -3*v + 5*y + 6356 = 2174. What are the prime factors of v?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32499966 is divided by 85.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 298449 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r - 4*g = 7, 0 = -3*r - 2*g + 19. Let p(f) = 2*f**3 - 13*f**2 + 3*f + 13. Is p(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 34915548.5218 - 0.371\nAnswer: 34915548.1508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 3*v - 4 + 7 + 8. Is 7 a factor of c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532750576 to the power of 1\/2, to the nearest integer?\nAnswer: 23081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66d (base 16) to base 4.\nAnswer: 121231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2. Let s(w) = -w**2 + 11*w - 829. Give s(i(b)).\nAnswer: -9*b**4 - 33*b**2 - 829","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, m: 1, b: 2, o: 1}. Give prob of picking 1 m and 2 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*y + 12 = 5*q, 16490*y + 4 = 2*q + 16493*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 69 = 24*w. Suppose 9*m + w*m - 6468 = 0. What are the prime factors of m?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*b + 2*b = -13, -23 = -4*a - 5*b. Let x be -1*4*(-15)\/a. Let m be 6\/(-4)*(-16)\/6. Is m equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 k when three letters picked without replacement from {k: 11, f: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4206 is divided by 176?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:46 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1599)\/(-65) + -25 - 23*(-2)\/190. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 1605.\nAnswer: 16050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l + 3. Suppose -3*q + 5*m = 15, -q + m = l*q + 3. Is q at least 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 42 + 0*m - 43 - 2*m + m. Let t be k(-9). Solve 4*u + t = 4*c, 3*c + 0*u + 4*u + 8 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4 = 4*c, 3*c + 7 = 4*a - 0. Let d(o) = o - 5. Let u be d(13). Suppose -4*j = -0*j - u. What is the remainder when c is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 26. Let b be s(-7). Suppose -b*m + 25 = 0, m - 131 = 4*f + 58. Calculate the common denominator of f and 43\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4108610 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3552?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*a - 45, -35 = -5*a + 17*t - 14*t. What is the nearest to 2 in -2, 2\/9, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)\/((f\/(f\/(f*f**2)*f))\/f))\/((f*f\/(f**2*f)*f)\/f**(-1\/3)))**13 assuming f is positive.\nAnswer: f**(-169\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-1 - (-3)\/3). Suppose -6 = 2*t, 5*t = -2*j + 3*j - 16. Suppose a - j = -0*a, a - 1 = 4*c. Solve c = o - x*r - 4, 2*o + 3*r - r = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83270 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:11 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a minute in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v**2 + v. Suppose z = -0*z. Let s be y(z). Solve -2*r + 1 = -5*u, 5*u + 2*r + 7 + 2 = s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 + -0.7. Let t = -0.6 + j. Which is the second biggest value? (a) t (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3 = 3*u, 14*u - 4*d + 36 = 18*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**2 - 24636*j + 8891960 = 0.\nAnswer: 385, 5774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 8. Let t be k(4). Suppose -266 = v + 5*y - 767, 3*v + t*y - 1459 = 0. Let o = v + -340. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46452550 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 24*y**4 - 9*y**3 - 5*y**5 - 9*y**4 + 12*y**2 + 2*y**5 - 15*y**3 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153 is divided by 201.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from onvgbnbg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = 4*u - 97, 5*u = -w + 124. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 695, 0.2, 0, -1\/8, 1, -5 in ascending order.\nAnswer: -5, -4, -1\/8, 0, 0.2, 1, 695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*y - 33*y**2 - 4 + 2 + 31*y**2 + 15*y in the form f*y + p*y**2 + m and give f.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*w + 772 = 0, 5*h - 4*w = h + 768. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w - 2*w + 3*w + w - 1 + 1 + (-4 + 1 + 2)*(0*w + 0*w - 2*w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**7\/120 + b**6\/72 - 2*b**5\/15 + b**4\/6 - 20*b**3\/3 + 16. Let q(v) be the third derivative of d(v). Factor q(s).\nAnswer: (s - 1)*(s + 2)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 10*i - 518. Let t be b(31). What is the highest common factor of 107 and t?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(88)*5 - sqrt(88))\/(1*sqrt(392)).\nAnswer: -16*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4086\/11 - 372. What is the third smallest value in -3, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j**3 - 10726 + 21440 - 10725.\nAnswer: 24*j**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:19 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -1\/25*d**5 + 0*d + 3 + 1\/20*d**4 - 1\/10*d**2 + 1\/15*d**3. Let x(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -251460*j + 2. Let o(x) = -14*x**2 + 4. Determine u(o(g)).\nAnswer: 3520440*g**2 - 1005838","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3005 + -0.1005. What is the closest to h in 3, 1, -4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/9)\/(-7 + (-62)\/(-9)) + -6. What is the smallest value in q, -1\/1380, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 19*l**3 - 115*l**2 - 3*l + 49. Let v be t(6). Let f be ((-2)\/6)\/(4\/(-126)). What is the nearest to f in v, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i + 2*i - 111*i**3 + 1049 - 1163 + 325*i**3.\nAnswer: 214*i**3 + 9*i - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrrsre. Give prob of sequence errs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 129762510 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(2448))**2.\nAnswer: -144*sqrt(17) + 14694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -275.\nAnswer: 14\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 0*i - 137 + 38 = 2*b - i, -187*i = 187 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 9*a**2 - a + 4. Let y be v(9). Suppose 3*f = -5*x - 2*f + 15, 0 = -f. Sort y, x, -2 in descending order.\nAnswer: x, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4 + 17320*p**3 + 2908634*p**2 + 31919768*p - 75612600 = 0.\nAnswer: -153, -14, 2, 8825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -13.03, -0.4, 0 in increasing order.\nAnswer: -13.03, -0.4, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Let m(y) = -45*y - 33*y + 64*y. Calculate z(m(t)).\nAnswer: -392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5715183 - 5?\nAnswer: 5715178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r - 189. Give u(-28).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*z - 34 = 2*z, -28 = -3*x + 5*z. Let o = 1.326 - 0.106. Let k = 2.78 + o. Which is the closest to 1? (a) 3\/4 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4370 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(26)\/sqrt(2) + 5.\nAnswer: sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100 + 1111100?\nAnswer: 100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -21. Let v be (12\/(-50))\/(18\/(-45)). Factor -v*z**t - 6\/5*z + 0.\nAnswer: -3*z*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 529 - 565. What is the second biggest value in 4, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1036\/(-511) + 0 - (2 + -4). Let l = q + 3165\/949. What is the common denominator of l and -37\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/9)\/(5\/((-1170)\/(-52))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 22 + 21 = -5*v, z - 32 = 4*v. Let q = -6 + v. Let t = -8 - q. Solve 20 = 4*a + 4*l, -3*a + t*l + 0 - 1 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w = 8. Suppose 0 = -w*n - 3*n + 10. Determine d, given that -4\/5*d - 2\/5 - 2\/5*d**n = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 379338 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 11*u + 9. Let k be b(-10). Does 40 divide 45*k\/3*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 0.1586231?\nAnswer: -0.5586231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 11 - 27 = 0. What is the remainder when z is divided by (7\/2)\/(2\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -1) + 9\/3. Let v(o) = -7*o - 4*o + 2 + i*o - 7*o. List the prime factors of v(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -341\/96599 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a7240c + -2?\nAnswer: -a72410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 91 = 4*x, -5*x + 4*c + 14 = -110. Calculate the least common multiple of 21 and x.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*(d*d\/(d\/(d*d**7)*d*d)*d)\/d)\/(d\/d**(-3\/8)*d*d*d\/(d**(2\/45)\/d*d)*d) assuming d is positive.\nAnswer: d**(961\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 213 - 203. Solve b*d = -5*m - 9, -2*m - 1 = -2*d + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1) - (9825\/100)\/(-131)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*w + 25 = 0, -110 = -20*f + 6*w - 4*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53453 (base 7) in base 9?\nAnswer: 20172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005451984 to 4 decimal places.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130306 - 87485. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-460)\/(-156) - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 13*r - 66. Let v be i(17). Let c(z) = 150*z**3 + 21*z**2 - 21. Let a(l) = -15*l**3 - 2*l**2 + 2. What is v*c(j) + 21*a(j)?\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*(-255)\/(-238)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -8*s**2. Let z = 836 - 825. Let o(c) be the second derivative of 1\/2*c**3 + 0 + 0*c**2 + z*c. Give x(o(y)).\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464*n - 939*n + 471*n = -24. Solve 3*y + 6*z - 5*z = -16, n = -3*y - 3*z for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -5 + (-4)\/2. Let z(b) = 0 + 6 - 2 + b**2 + 6*b. Give z(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 60 = 4*m. Let p be 3\/m*(1 + -255). Let f = p - -65. Which is the closest to 0? (a) f (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 9*x**2 + 6*x + 11. Let w be a(8). Let p = -1 - w. 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 w = 797 + -792. Which is the closest to -2? (a) w (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 4*v - 0*v - 3, 3*v = 5*c - 24. Let u(q) = c - 1 - 6*q**2 - 2 + 19*q**2. Let f(g) = 11*g. Determine f(u(n)).\nAnswer: 143*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 2*v + 1. Let f be 0 - 2 - (0 + 0). Let b be r(f). Suppose 3*s - 16 = s + b*q, 3*s - 4*q = 17. Solve -2 = s*w - w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7668119706 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28696.\nAnswer: 2, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 + 3*a**2 + a - 2. Let r be v(-2). Suppose -r + 2 = -5*p. Suppose -3*h = -3*u + 6, p*u - 34 = -3*h + u. Solve m - 2 = h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/486)\/((-5)\/(-2))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653742 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - -4.2. Let m = 0.05 + 1.45. Let j = -1 + m. Sort 2\/9, t, j.\nAnswer: 2\/9, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 73 = -2. Let u = 24 - k. Which is bigger: u or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000112917 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y. Let p(g) = -g - 5. Let j be p(-7). Suppose -5*k = 2*f - 7, 2*k + 0*k + f = j. Let n(x) = -3*x**2 + 7*x**2 - k*x**2. What is l(n(u))?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + 2)\/(-28)*-32. Calculate the greatest common divisor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -0.22, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-160)*-2)\/(52\/(-11960))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 2855637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/8 (b) 2\/17 (c) -0.02 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = q, 3*q + 3 + 0 = 5*c. Let w(x) = c*x - 2 - 3 - 2*x - 4. What is w(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 14392656*o + 14392659.\nAnswer: -3*(o - 1)*(o + 4797553)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7 = -4*y - 4*o, 0 = -5*y - 5*o - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = v - 1520, 6*v = 2*m + v + 996. Round m to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*p + 2*w, 0 = -p + 6*w - 2*w + 16. What is the least common multiple of p - 21\/6*-2 and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*r**2*v + 2378*r**2 + 63455*r*v + 2*r wrt v?\nAnswer: 2*r**2 + 63455*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j, 165 = -55*v + 3*j - 8*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -48*z - 191. Is x(-13) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2043 divide 141122268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -48*r + 4. Let p be i(5). Let x = -224 - p. Solve -x*j = -7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 11*g**5\/60 - g**4\/8 + 5*g**3\/6 - 3*g**2 - 13. Let b(y) be the second derivative of a(y). Is b(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*z - 100, -3*s - 11 = 4*z - 89. Suppose 9*r - 600 = 381. Calculate the remainder when r is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 33810.\nAnswer: 33810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1))\/a)**(1\/15)\/(a*a*a*((a*a\/(a\/a**6)*a)\/a)\/a*a*a*a**(-6)) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4, 1027, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(3) + (2 + sqrt(147))**2 - ((sqrt(12) + 3)*2 + 5))*-1.\nAnswer: -137 - 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/56*-136)\/1.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5*n**3 - 10*n**2 + 11*n**2 - n + n in the form f*n + q*n**3 + a*n**2 + c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h**3\/h)\/h*h)*h**20 assuming h is positive.\nAnswer: h**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*(-b**4 + 2*b**4 - 3*b**4) + b**4 + 2*b**4 - b**4 + 3*b**2 - b**4 - 2*b**2 - 3*b**2.\nAnswer: -7*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - -4*sqrt(588))\/(sqrt(484)*6).\nAnswer: 29*sqrt(3)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409, 410, 411, 412?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = -23*w + 43*w - 13284. What is the greatest common factor of 82 and w?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 56*a**4 - 2*a**2 + 38. Let x(i) = i**4 - i**2 - 1. Let l(g) = -h(g) + 2*x(g). Find the first derivative of l(t) wrt t.\nAnswer: -216*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90855*w - w**2 + 90855*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -m - m. Suppose -m = -w + 1. Let j be -6 + w - 1*-9. What is the greatest common divisor of 49 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.05054.\nAnswer: 0.020216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 4*c + 3*c)*(3*c + 0*c - 5*c) + (2 - c - 2)*(1 - c - 1).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 1. Let n be o(-2). Suppose -3*v + v - 8 = -n*m, -5*m = -2*v - 16. Suppose 0 = v*w - 12 + 4. Solve -a - 5 = -w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-13*7\/(-273).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1298 - 4342 = -408*z + 2112 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 49306900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17591631918.99 - 106?\nAnswer: -17591632024.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 11:30 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*k = -k - k - 0*k - o, -4*o + o = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -246 - -220530?\nAnswer: 220251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.571 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243908 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/30*175\/70*(-2)\/4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15799?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8728*y + 78544. What is m(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4934027385 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.7 - -6. Suppose -5*l + 27 = 11*s - 7*s, 5*l = 2*s + 9. What is the third biggest value in s, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - w + 64, 5*q = 4*w - 6*w + 63. Let b = q + -7. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*f. Suppose 0 = -f*z - 2*z - 10. Let s = z + 8. Solve t + s*t + 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 881, 3559, 8003, 14213?\n\"Answer: 883*w**2 + 29*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36b91 - 45?\nAnswer: 36b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -107520206, -215040410, -322560614?\n\"Answer: -107520204*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 786 and 22?\nAnswer: 8646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 12*x = 8. Let z(g) = 6*g**2 + 2*g + 6. Let o(p) be the third derivative of -p**5\/12 - p**4\/12 - 5*p**3\/6 + p**2. What is x*z(r) + 5*o(r)?\nAnswer: -r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581909768?\nAnswer: 2, 11, 89, 191, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3, -5*y + 0*y - 4*c + 86 = 0. Solve -2*i + 5*i = 12, 0 = -2*t + 3*i - y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrkkkrkkr. What is prob of sequence rk?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 10*s**2 - 28*s - 37. Let k be l(-7). Solve -p + 5*p = -k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(0 - (-2)\/3). Suppose 15 = -5*c - 10. Let s(r) = 7*r - 13. Let p(q) = -3*q + 6. Let v(m) = c*p(m) - 2*s(m). What is v(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -8, 49, -1877, -0.06, -2\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*s + 5*s + 12*s**3 + 0*s - 2*s as k*s + m*s**3 + c*s**2 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*z**2 + 49*z**2 - 8*z**2 to the form o*z**2 + i*z + s and give o.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 886, 1717, 2446, 3073, 3598, 4021?\n\"Answer: -51*g**2 + 984*g - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 7:01 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -73. Which is smaller: t or -44?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**4\/12 + 512*s**2 - 7. Let b(z) = 2595*z**2 - 7. What is g(b(l))?\nAnswer: 5190*l**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -998\nAnswer: -2\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-48 - (-62 - -74))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, 0, 1 in increasing order.\nAnswer: -3, 0, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21131065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfowqqfwiwoqwfoooqtt. What is prob of picking 1 f and 1 i?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250, -135, -20?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 231305 - 11986 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1330 and 837405.6.\nAnswer: 838735.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -14. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Let d be (-40)\/(-6) + (-7)\/(-21). Suppose -7 = -c*j + d. Is j < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.94 + 36.06. Let d = r + -36.999875. What is d rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(264\/990)\/(4\/18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/180 - (-2)\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(0 + 48\/9). Suppose -4*b = -0*b - q. What is the remainder when 7 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 349, 3, 385, 11.\nAnswer: -5, 3, 11, 349, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2614 + 6583. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -521386 and 410.\nAnswer: -520976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 11 + 4)*((-7 - 3*d + 20 - 11)*(1 + 0 - 2) - 2*d + 2 - 2).\nAnswer: -12*d + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1507, -5925, -13249, -23473, -36591, -52597?\n\"Answer: i**3 - 1459*i**2 - 48*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Find the second derivative of -g*m + 2*m - 7*m - 6*m**4 wrt m.\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -1 - 3*o**2 + 0*o**3 + 0*o**4 + 1\/30*o**5 + 0*o. Let b(m) be the second derivative of x(m). Let i(d) = -6*d. Give b(i(p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -22*i**2 + 11*i + 49. Let b(r) = -21*r**2 + 9*r + 49. Let s(f) = 6*b(f) - 5*g(f). Differentiate s(k) with respect to k.\nAnswer: -32*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1617298632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 27.\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71125, 142255, 213387, 284521?\nAnswer: 355657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104357?\nAnswer: 11, 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 9*v**4\/4 - 13*v + 45. Let k(o) = -4*o**3 + 6. Let t(m) = m**3 + m**2 - 13. Let n be t(0). Calculate n*k(d) - 6*g(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 37521*v**2 - 150121*v - 788025.\nAnswer: (v - 7)*(v + 3)*(v + 37525)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119 - 514353736195.\nAnswer: -514353736314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -169495600 rounded to the nearest one million?\nAnswer: -169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111001110011 - 0?\nAnswer: 1011111001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413275.5297 rounded to the nearest ten thousand?\nAnswer: -1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2847)\/21060)\/(-73)*-8*5\/3.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4433.7 - 4289.7. Sort -3, -4, 0.4, y in decreasing order.\nAnswer: y, 0.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -16670 (c) -0.065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - 5*k**2 + 3*k**2 + (-5 + 5 + k)*(-2*k + 8*k - 2*k) + (3*k + 6*k - 3*k)*(1 + 2*k - 1).\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 - 4.09. Let l = 13 + -14. What is the closest to -1\/4 in l, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 7*t**4\/3 - 18376*t**3\/3 + 57659*t**2\/3 + 65554*t\/3 - 3496 = 0.\nAnswer: -1, 1\/7, 4, 2622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23169321 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.92 - -2.773.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 5*q**2 + q + 4. Calculate the remainder when r(3) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 531 + -538.45. Let n = 3907.5163 - 3915. Let x = b - n. What is x rounded to 3 decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) -12 (c) 4\/3 (d) -4\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 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: Suppose n - 5 = -2*a, a + 3*n + 2 = 7*n. Suppose a*c - 1867 = 6*g - g, -2*c + g = -1847. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 4 - 3665*l - 4695*l.\nAnswer: -8360*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 7*n - 5. Let w be y(-4). Suppose -b = 5*l - 3 + w, 3*l = -12. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 16*w - 8. Let u be t(16). Let l = 745 - 749. Which is the nearest to 3? (a) u (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -163 and 18329.\nAnswer: 18166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v. Suppose 2*r - 16 = -r - 5*q, 2*r + 26 = 4*q. Let t be 0 + 2 + r + -1. Let o be y(t). What is the highest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701)*-2 + sqrt(1701))\/(-2*sqrt(192)).\nAnswer: 9*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 - 0.12. Let l = -1090 - -1086. Put -16, j, l in ascending order.\nAnswer: -16, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -12. Let p = t + 11. Suppose 0*m + 51 = p*m. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120a (base 11) in base 10?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 - 37\/(148\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 10 + 1 = 0. Let y(m) = 5*m - 2. What is the units digit of y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t = -24 + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 - (-2 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - m**2 + 2 + 0*m - 4*m + 0 + m**2 + 0 + (5*m - 4*m + 0*m)*(2*m + m + 2*m) - m + m - 8*m**2.\nAnswer: -3*m**2 - 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -565, -2\/7, 0.2, -2\/967, -3\/2?\nAnswer: -565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 40*i**2. Let n(o) = 39767*o - 483. Let s(t) = 412*t - 5. Let w(g) = -5*n(g) + 483*s(g). Determine w(f(j)).\nAnswer: 6440*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x*(x**(-6)*x)\/x))\/(x*x**(3\/7)))**(-50)*(x**0\/x)**34*(x**1)**(-9) assuming x is positive.\nAnswer: x**(-1901\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 19. Let t = j + 117. Suppose -t = -w - 14. What is the remainder when w is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, -47, -202, -443, -770?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 - -124. What is the closest to -1\/27 in -2, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 93045.9 and -13775.014.\nAnswer: 79270.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 10*o**2 - 12*o - 2. What is l(11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 + 47250*c**3 - 36961*c**3 + 51961*c**3 - 7*c - 2. Let h be o(-2). What is h rounded to the nearest 10000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 732, 731, 730, 729, 728, 727?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988663573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 43780.03*3\nAnswer: 131340.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -689, -2489, -5471, -9629, -14957, -21449, -29099, -37901?\n\"Answer: n**3 - 597*n**2 - 16*n - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51845*g**2 - 3995.\nAnswer: -103690*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 3:31 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c + 12. Suppose 98 = -5*i + 28. Let n be u(i). Let p be -5 + 3 - n\/2. Solve -p = -5*d, -d + 0*d - 11 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2066 divided by -2\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6706 = 17*m + 4599. Which is bigger: m or -664?\nAnswer: -664","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n + 8. Let l be c(0). Let j be (-90)\/8*l\/(-6). Find z, given that 13*z**3 + 40*z**2 - 8*z**3 - j*z**4 - 2*z + 22*z = 0.\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgggggggghwgggwgwh. Give prob of sequence hhgh.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 552, 1096, 1654, 2232, 2836?\nAnswer: 3472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7931 - -79219\/10. Calculate the common denominator of 2\/((-2)\/(3 - (-2365)\/(-818))) and b.\nAnswer: 4090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2876524\/665 + 3\/(-5) is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1007*31.347.\nAnswer: -31566.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -743.78 or 13\/12?\nAnswer: -743.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 512, 497, 486, 479?\n\"Answer: 2*x**2 - 21*x + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + -6 + 2 + 2. Let m = 12 + p. Let f(d) = 11*d**2 - 1. Give f(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 597\/7 - 0. Let b = -86 - d. Let w = -2.92 - 0.08. Put 4\/7, w, b in descending order.\nAnswer: 4\/7, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7157499179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 113. What are the prime factors of (-1142)\/(-8) - l\/88?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1700 and 408?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.23 and 0.5?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((16 - -126)*-750)\/((-1446)\/724 - -2). Round w to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-16))\/(9\/6). Suppose g - 5*v = -0 - 3, 4*g = -5*v + 13. Suppose 0 = -g*w - 4*f + 14, -2*w = -w + 5*f - 19. Sort -0.09, w, y in increasing order.\nAnswer: w, y, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 296596 and 741490.\nAnswer: 1482980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/8 and (483\/54)\/23 - 1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-1610)\/(-120)*((-34)\/255)\/(14\/(-5))?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.115215 and -1871?\nAnswer: 215.567265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 25 = 0, 2*m + 3 = q - 15. Let i = 55.3 - 55. Which is smaller: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 + -211. Let n be (-6)\/18 - 12\/d. Which is the third biggest value? (a) n (b) -0.3 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 16*u + 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(3*sqrt(10)) + 0 + 3 + -5)*6.\nAnswer: -12 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29679 - -51957. List the prime factors of g.\nAnswer: 2, 3, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3198*x**3 - 960*x**2. Let a(v) = v**4 + 1599*v**3 - 486*v**2. Let w(d) = -9*a(d) + 4*c(d). Factor w(f).\nAnswer: -3*f**2*(f + 178)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/(27*(-20)\/(-270))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 20*v - 119. Let f be m(6). What is the units digit of f + 3 + -4 - -930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/130 and 139\/24?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o\/(o*o**(-1\/4)*o)))))**(-6))**(2\/53)\/(o**(2\/9)*o**4*o*o)**10 assuming o is positive.\nAnswer: o**(-29869\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 12:55 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12\/239 - -9404\/3107. Let w = 409\/78 - y. Find the common denominator of 21\/4 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 15*v + 59. Let x be f(-7). Suppose 3*u = 9, 6*p - 9*p + x*u = -1707. Does 52 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**21)\/k**(-27)*k**(-7)*k*k*k*k*k\/k**(2\/69) assuming k is positive.\nAnswer: k**(3241\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Let c = g + -3.2. Let p = -1.6 - -2. Put -0.3, p, c in descending order.\nAnswer: p, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 27*i**2 - 2*i - 96. Give x(-27).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 - 61. Let c be (-16)\/t*129\/2. Let w = c - 27. Round w to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 5. Let b be z(0). Solve 2*v + 3 - b = 0, 0 = 2*q + 3*v + 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125744, -124614, -122730, -120092, -116700, -112554?\nAnswer: -107654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let m(y) = 2*y - 2*y + 2*y. What is m(z(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (42 + -20 - 20 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-21 + 5 - -13) + -16 - -6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 20 + 25 + 24*k + 100.\nAnswer: 24*k + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22285349?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sczzcczsc. What is prob of picking 2 z and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220112 - 0?\nAnswer: 220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(-66)\/(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-126)\/(-2))\/(10\/(-1)) and 71\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 7, j: 5}. What is prob of picking 2 j?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -794 + 793.99999397. What is u rounded to seven dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -476*u**2 - 4*u. Let z(c) = -3*c. Calculate x(z(m)).\nAnswer: -4284*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3\/7 + 43*p**2\/7 - 436*p\/7 - 480\/7 = 0?\nAnswer: -1, 20, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 798*((-11)\/(-3) - 3). Let v be 1\/5 + a\/(-35). Let l(n) = n + 25. Let g be l(v). Solve g + 0 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -16. Suppose v - 12 = -i. Solve -3*k = v - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, i: 3, c: 6, a: 5, o: 2}. Give prob of picking 1 c, 2 a, and 1 k.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = 4*o + 187 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -14*s + 2*b, -35*s = -31*s + 4*b + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s. Let z(l) = 2308*l. Calculate z(r(i)).\nAnswer: 16156*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -14. Let k = -10.2 + 1.2. Let s = k - -8. Which is the third smallest value? (a) 2 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191271447 by -21252383.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2372*j = -2399*j + 972. Solve -j*c + 2*r + 10 = -38*c, -4*c = 5*r + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(39)\/sqrt(3) - sqrt(13)))**2 + (sqrt(143) + sqrt(143)*1 + sqrt(143) - sqrt(143))\/sqrt(11))*5 + -5 + -5 + -2*-1*sqrt(13).\nAnswer: 35 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2364353121 to the nearest integer?\nAnswer: 48625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = d + 10, 2 - 4 = -d. Let v(u) = u + 1. Let f(h) be the third derivative of -2*h**3\/3 + 3*h**2. Let l(b) = t*v(b) + f(b). Determine l(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12608874 or 12608873?\nAnswer: 12608874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 116 - 1851 = 3*m, 2*m + 3*u = -1308. What is m rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204433841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c + 9. Let m = 1 - c. What is the smallest common multiple of (-2)\/((-4)\/18*1) and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - h - 3. Let i be y(3). Put i, 4, -2 in decreasing order.\nAnswer: 4, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from vwwwvwwwrrwrvrwvjr.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284864 or 1709183\/6?\nAnswer: 1709183\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 0*t + 16*t**2 - 14*t**2 - 8*t**2 to the form r*t + k + l*t**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptqqtpttqtq. What is prob of sequence pp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 143*m. Let w(c) = -14438 + 2*c + 14438. Calculate w(u(f)).\nAnswer: 286*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5691, 1, -371?\nAnswer: -371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from qfdfdffffdd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -2\/3*h**3 + 0*h - 1\/3*h**6 + 0*h**5 + 0*h**2 + 0*h**4 + 1. What is the third derivative of w(y) wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1189.\nAnswer: -2\/1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 196\/24 + -12. Factor p - 1\/2*q**2 - 1\/3*q.\nAnswer: -(q + 1)*(3*q - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-16) + (-3)\/(-4). Let y(t) = -t**2 - t - 2. Let c = -6 + 6. Let f be y(c). Sort 2, f, w in decreasing order.\nAnswer: 2, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3060*t + 82885 = 1553*t for t.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -11. Let j be (-2)\/(-11) - g\/11. Let x be j + 6 + (-33)\/11. Solve -x*w + 25 = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - sqrt(3888)*-2 - -1*1*sqrt(27))\/(2*sqrt(144)*-5).\nAnswer: -13*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1206, -2347, -3488, -4629, -5770, -6911?\n\"Answer: -1141*u - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, u: 9}. What is prob of picking 2 u?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*f - 20 - 458, 5*s - 2420 = 5*f. Suppose 3*u - 5*i - 406 = 0, u - 5*i = 5*u - s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39 + -43 - (-11 + 4\/(-1)). Solve 3*j = -4*c - s, -c - 2*j - 3 = -4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 206 - 1529 = 0. Let u be (-896)\/i + -6 + 0. Suppose -5*p - 11 = 14. Which is the third smallest value? (a) p (b) -1 (c) -1\/9 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -793*k + 793*k - 3*k**2 + 7 as o*k**2 + y + d*k and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 242*g**2 + 16*g - 1861. Is c(121) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -405862*q**2 - q - 2. Let p(r) = -r**2. Determine n(p(b)).\nAnswer: -405862*b**4 + b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*o**5 - 3 + 13*o**5 - 4*o + 0)*(-4 + 0 + 1).\nAnswer: 6*o**5 + 12*o + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 19 - (-1)\/1. Let f be p*(-3)\/18*-290. Let z = f - -1271. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/11 and 29\/15999512.\nAnswer: 175994632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 981 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 10) to base 11\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 35.8.\nAnswer: 14.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000399765 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -1\/24*m**4 - 33\/4*m**2 - 121\/6*m - 209 + 7\/6*m**3. Factor q(z).\nAnswer: -(z - 11)**2*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82542754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*d - 272 = 0, 3*w + 0 + 210 = -3*d. Suppose -4*x = -8, 2*o = 6*o + x + 194. Let c = o - w. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2704 = 10*b + 454. Suppose -2*s - 7*s = -b. Solve 0 = 4*v - s + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(5\/2)*p**(2\/9)*p**(-6)\/(p*p**2*p) assuming p is positive.\nAnswer: p**(-131\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1)*(-8)\/16. Let i be -1 + (1 - y) - 5. Which is the nearest to -1? (a) -1\/2 (b) -5\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 124.4413 centuries?\nAnswer: 149329.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.1. Let s = 0.07 - -0.93. Let r = -4 + s. Which is the closest to -1\/2? (a) g (b) r (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1998.45 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 8 - 32 = 0. Suppose 24 + 119 = r. Suppose -104 = -4*m - 5*l, -l = 5*m + 2*l - r. What is the remainder when m is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 - 27 + 66*m - 21 - 6*m to the form r*m + t and give r.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 264209405 to the power of 1\/2, to the nearest integer?\nAnswer: 16255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q**4 - 52920*q**3 + 532365*q**2 - 1387150*q + 201000 = 0.\nAnswer: 2\/13, 5, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 2. Let l = -10 - -12. Let q be (5 + -3 + 2)*1. Let p(y) = -4 + l - q + 5. Give 3*p(r) + 2*z(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*b + 4 = 0. Let a(m) = -m**3 - 6*m**2 + 7*m + 5. Let t be a(-7). Solve 0 = -4*q + b - 0, -t*q + 30 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2046874 divided by 4?\nAnswer: 1023437\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3\/7)\/(248\/868)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -301472687*w**3 - 25977*w**2 + 1400*w wrt w?\nAnswer: -1808836122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986 is divided by 247.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 12*p**2 - 30*p + 7. Let z be l(-5). Sort 14, z, 0.3 in increasing order.\nAnswer: z, 0.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from linninijii. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 634?\nAnswer: 634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00081 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**4\/4 - 10*f**3\/3 + 3*f**2\/2 - 12*f - 2. Suppose 5*g - 13 = 37. Calculate the smallest common multiple of u(g) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2214382 divided by -1\nAnswer: 2214382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9636920 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14b3 + 1?\nAnswer: -14b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 46. Suppose o*q = b - 408, 2*b - 10*q - 789 = -11*q. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:40 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -53188.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37110037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 740109861678867.000111 + -740109539216510. Let p = z - 322462135. Let w = p - 222. What is w rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2344\/16)\/((-1)\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37938 at least as big as -37945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5367 rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 6. Let c = 2 - f. Let p(q) = q**2 + 21. What is the units digit of p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 43504*j - 130511. Give o(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(1008)*-1 - sqrt(1008))*-1 + sqrt(1008)*-2*-2 - -4*(sqrt(1008) + -3*2*sqrt(1008)))*2)**2*-6.\nAnswer: -9483264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c - 5*c + 3*c)*(2 - 3 + 2) - 47 + 47 - 14*c)*(2*c**4 - 3*c**4 + 3*c**4).\nAnswer: -30*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-708)\/8850).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-272864)\/(-110276) + 0. Let s = r + -1\/1451. Suppose -12*y + 28*y = -9*y. Which is greater: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 16 = -2*p, 0 = 4*m + 4*p - 0 - 8. Sort 20\/7, 1\/6, 1\/3, m in descending order.\nAnswer: m, 20\/7, 1\/3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*t = -0*t - 37, -4*t = -4. Let l be c\/36 + (-274)\/18. Let s be (-30)\/9*36\/l. Solve -4*a - 5*p - s = 0, 5*a - 31 = -0*p + 4*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.305 + 0.03. Let c = 36356.025 - 36355.69000374. Let q = c - l. Round q to 7 decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -43410 (c) 0.2 (d) -1\/41 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 - 3*h**2 - h + 1. Let s be q(-1). Solve 0 = r - 5*o + 20, 0 = 3*r + 2*r + s*o - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 7471552*l\/7 - 6978011161088\/7.\nAnswer: -2*(l - 1867888)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776316379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1503 - 1491. Let k(l) = l**3 - 11*l**2 - 11*l + 11. What is k(f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 6:36 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (6 + -3 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -4, -8, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let w(x) = -3*x. Let f(h) = h. Suppose -4*u = -0*u + 4*p + 48, 0 = -2*u + 4*p - 6. Let n(z) = u*f(z) - 4*w(z). Calculate c(n(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + j = -3*s - 6, 0 = -3*s - 5*j + 2. Let v = 204 + -201. Let t(g) = g**3 - 12*g**2 - 3. Let l be t(12). Put l, 2, v, s in descending order.\nAnswer: s, v, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*n = -200 + 184, y + 7*n + 38 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 4*c. Suppose 3*a = 3*d + 30, 0 = -4*a + 5*d - 6*d + 15. Suppose -a*y + y + 8 = 0. Calculate the lowest common multiple of j(2) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1079 + 1111. Suppose -5*i = -4*i + 4*b - 205, 3*i - 643 = -5*b. What is the remainder when i is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 75*t - 74*t. Suppose 3*i + 0*i + 6 = 3*k, -t*k + 3*i = -8. Solve -k*h = -3*h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3 - 7. Calculate the remainder when 14 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 1 - ((12 - 0) + -7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70235 * 1.\nAnswer: -70235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 6 = -2*k - 5*p, 0 = -4*k - 2*p + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/59, -4, -0.17, 8501\/63?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 29.4 (c) -0.5\nAnswer: c","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 qqejjeeeqje.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 911\/4688 + -2\/293. Find the common denominator of w and 81\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/224)\/(6\/(-24))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251635.\nAnswer: 5, 59, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 173, -1210, -3471, -6610?\n\"Answer: -439*q**2 - 66*q + 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 6*d**2 + 7*d + 4. Let v be t(-7). Factor -v*j**2 - 2*j**3 + 4 + 2*j**3 - j**3 + j**2.\nAnswer: -(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*u - 0. Let k(p) = -2*p - 4. What is the tens digit of k(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/((-9752)\/(-530))*((-3)\/(-2))\/3?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1440 and 23280.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*i + 15, 0 = o - 3*i + 4*i. Solve 5*t + 17 = o*k, -5*t = 4*k + 14 + 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9680\/(-1760) - (-3)\/(-4)*14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 16*a + 3. Let f be r(8). What is the derivative of -8*z**3 + 55*z**f - 16 + 4 - 48 wrt z?\nAnswer: 141*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85565167.\nAnswer: 29, 641, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (3 + -4 - -4). Let j = s + 5. Let k(m) = 3*m - 8. Give k(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 3 in increasing order.\nAnswer: -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {q: 1, n: 2, o: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101110100011010101 - -1010?\nAnswer: -101101110100011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**3 - 7*x**2 - 3*x - 7. Is 47 a factor of d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 2*t**3\/3 - 43*t**2\/2 + 36*t. Let p be i(12). Let r = p - -3. Calculate the remainder when 69 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1630962 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 7*q**3 - 97574*q**2 + 97574*q**2 in the form p*q**2 + f*q**3 + j + y*q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s\/s**(-4\/25)))\/s))**(-23)*s**35*s*s**28*s)**41 assuming s is positive.\nAnswer: s**(15703\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4\/11 (b) -1 (c) -20035 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4485713 > -4485615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 h when three letters picked without replacement from {h: 15, x: 3}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2312, 19360, 65886, 156710, 306652, 530532?\n\"Answer: 2470*w**3 - 81*w**2 + w - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1162882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -42, -110, -268, -552?\nAnswer: -998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 144*g**2 + 943*g**3 - 3 - 942*g**3 in the form u + s*g**3 + t*g + r*g**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-6)*(108\/(-30))\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*y**3 + (2*y - 2*y - y)*(2*y - 2*y - y**2) + 16*y**3 + 109 - 109 + y**3 + 2*y**3 + 0*y**3 + (1 + 0 - 3)*(2*y**3 - 2 + 2).\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.208 + -0.208. Put -6, 0.3, t in increasing order.\nAnswer: -6, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -500602 or -500650?\nAnswer: -500602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + 5*a, -2*x + 4*x - 22 = -5*a. Let b be ((-4)\/(-6))\/((-2)\/x). Let v be (b\/(-1))\/(3\/(-6)). Let j(f) = f**3 + 4*f**2 + 5. What is j(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444004280.\nAnswer: 2, 3, 5, 139, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**3\/3 - 3*c**2 + 5*c - 7. Let s be a(6). Which is smaller: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 - 3*h + 18. Suppose 2*u - 12 = -4, 0 = -c - 2*u + 11. What are the prime factors of a(c)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 177 - 177.0801. Let k = j - -0.08. Round k to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -10, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19680?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-216))\/(1\/6*-7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 69?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 56. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -64*b - 332. Let o(m) = 2*m**3 + 4*m**2 - 3*m - 5. Give o(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*b + 15*b - 120000. Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17800?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/37)*l*l\/(((l*l**(-31)*l)\/l)\/l)*l)**(-10) assuming l is positive.\nAnswer: l**(-12560\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98108*c + 98110*c = -3*l + 71, -5*c + 120 = 5*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -219657.1 rounded to the nearest one thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23828 and 0.5.\nAnswer: 11914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 5*g + 2. Let s be w(5). Suppose s*p - 8 = -4. Let a(q) = 2*q. Let u be -7*(1 - 9\/7). Let c(f) = -3*f. Give p*c(r) + u*a(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64194*s**2 + 2*s - 104658.\nAnswer: -128388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + sqrt(176) + (1 + sqrt(176))*-3 + -4 + -6*(1 + sqrt(176))))**2.\nAnswer: 20736*sqrt(11) + 408420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmssmssms?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -6, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*w - 148, -3*t + 236 = 137*w - 133*w. Calculate the remainder when t is divided by 87\/4 + 1\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4 - 1355685*o**3 + 4067090*o**2 - 2711400*o = 0.\nAnswer: -271140, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21*(12\/20*(-245)\/(-63))\/7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 0.014, -5 in descending order.\nAnswer: 3, 0.014, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 242 - 149. Does 38 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9634 - 1976 - 2260 = 730*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -60. List the prime factors of i\/4 + (-3)\/2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 2*p**2 - 2*p - 2. Give n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3302.\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5790 - (-10 + 11 + -19)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r - 1. Suppose u = -4 + 5. Let c be w(u). Solve c*d + 10 = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111101010010001 + 1?\nAnswer: -11110111101010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -36?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 273653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 9*s - 19*s)*(-4 + 6 - 4) to the form h*s + f and give h.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2780 - 2773. What is the third biggest value in b, -3, -0.19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -4*2*(sqrt(343) - (1 + sqrt(343))))*-1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1173, -4103, -8893, -15543, -24053, -34423, -46653?\n\"Answer: -930*a**2 - 140*a - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1813 - 1814. Which is the nearest to 0? (a) 2\/7 (b) 0 (c) 3\/2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -4217?\nAnswer: -14\/4217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22817?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1391 and 749.\nAnswer: 9737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*a = -8, 6*a - 7*a + 19 = 5*c. Suppose c*g = -2*z + 566, -5*g + 937 = -24*z + 21*z. List the prime factors of g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.0051 + -17?\nAnswer: -8.9949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - d = 10, 3*o - 6 - 16 = 5*d. Suppose 2*c - 72 = 4*u, 1 = u + 3. Calculate the greatest common factor of c and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -37*d**2 + 949*d + 229. Determine b(26).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 236, -0.05, -2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 249\/2 + -2737\/22. Which is the second biggest value? (a) 4 (b) -0.4 (c) 2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 200, 199, 192, 179?\n\"Answer: -3*m**2 + 8*m + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 4)*(2*s**3 + 0*s**3 - s**3)*(0*s + 3*s - 2*s).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -301 >= -303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135716 and 8806.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 + 130 = -7*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + sqrt(75)*-3 - sqrt(75)) + 5)**2.\nAnswer: -150*sqrt(3) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -20*t**2 + t. Determine x(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from {r: 7, c: 3, i: 2, n: 3, g: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r = -4*g - 51, -2*g + 6 - 13 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-297)*(1 + 2). Which is the biggest value? (a) 5 (b) -2\/3 (c) o (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2266, 4535, 6794, 9037, 11258, 13451?\nAnswer: 15610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((194\/51895)\/(6 - (-352)\/(-55))).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let g(s) = 764*s**2. Calculate g(t(z)).\nAnswer: 764*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -79, -72, -65, -58?\n\"Answer: 7*y - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1\/4, -3, -0.2, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1066126905, 1066126898, 1066126877, 1066126836, 1066126769, 1066126670?\nAnswer: 1066126533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 + 5 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19146*a*n + 5*a + 4068*n + 633 with respect to a.\nAnswer: -19146*n + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011 + -12012?\nAnswer: -22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (14 + (10 - 17)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - -201042?\nAnswer: 201132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 935700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 3*a**2 + 3*a**2 + 3349*a - 1665*a - 1672*a - a**3 as k + l*a**3 + q*a**2 + u*a and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6203 - -8.6203. Let l = -1 + 0.5. What is the biggest value in 1, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i**3 + 3 - 3)*(4*i + 2*i - 5*i) as p*i + d*i**3 + v + s*i**4 + h*i**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3. Let l = -152 + 26. Let w = 128 + l. Let a be 9\/(-6)*(-2)\/(-1). Let u(p) = -2*p**3 - p**2 + p. Give a*n(z) + w*u(z).\nAnswer: 2*z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3*8\/18*((-36610)\/(-20) + 13) and 8?\nAnswer: 9832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188412710*k**3 + 2*k**2 + 16896*k + 44?\nAnswer: 1130476260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2253382 times -0.3\nAnswer: -676014.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2. Suppose -3*t = 5*c - 62 + 7, -3*t = -3*c + 9. Suppose -3 - c = -4*g - 3*h, -h = g - 3. Let y(z) = z - 6. What is g*y(m) - 7*o(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1720\/15)\/((-16)\/(-48)). Let d(n) = 4*n**2 + n + 4. Let t be d(3). Calculate the greatest common divisor of l and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28335612 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 4\/11797 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31723635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/1938)\/((4\/(-2))\/((-15)\/5*-1))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2425 + 7276\/3. What is the nearest to u in -0.4, -9\/52, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31874285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7, 16, 21, 10, -29, -108, -239, -434?\n\"Answer: -2*a**3 + 10*a**2 - 7*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55380)\/56)\/(-13) + (-399)\/5586?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10202344400 - -2?\nAnswer: -10202344343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**6\/20 + q**5\/12 + 7*q**2\/2 + 10. Let c(h) be the second derivative of v(h). Find the third derivative of c(i) wrt i.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54795848.\nAnswer: 2, 19, 29, 31, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2349236160.\nAnswer: 2, 3, 5, 239, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**37*(t**2*t)**(-2\/17) assuming t is positive.\nAnswer: t**(-6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**3 + 2710475902*v - 2710475902*v.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u - 2. Let l be y(4). Let k(g) = g**3 + 21*g**2 - 25*g - 16. What is the tens digit of k(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v**3 + v**2 - 5*v - 3. Let s be p(-3). Let m = -105 + s. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 17 + 18. Suppose -c*b**4 - 134 + 134 + b**4 = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*l - 48*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**3 - p**2 + 1. Let v be x(1). Let w(g) = -5 + 4*g**2 - 3*g**3 + v*g - 4*g**3 + 6*g**3. Let c be ((-5)\/3 + 2)*15. Calculate w(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0*w**(-3\/17)\/w assuming w is positive.\nAnswer: w**(-20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxxxex. What is prob of sequence xe?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = 15*g - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/571865?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1179 is divided by 588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**7\/21 - o**3\/2 - 3*o - 1. Let g(f) be the first derivative of j(f). Find the second derivative of g(h) wrt h.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153 - -233. Calculate the common denominator of -61\/2 and (93\/4)\/(150\/f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.10142 + -0.30148. Let i = -0.0471 + x. Round i to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 727198 and 4438.\nAnswer: 5090386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 9*s**2 - 8*s + 18. What is p(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 - (-122 + -2) - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and -1 + ((-564)\/48 + 11)*(-1684)\/3.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, -3, -0.55, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -2*m - 24. Let a(o) = -2*o + 4 - 3*o**m - 2 + o**2. Determine a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 101 and -4.6.\nAnswer: -464.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2073 is divided by 1035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 90*b - 88.\nAnswer: -2*(b + 1)*(b + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*j*l**2 + 2*j*l - j + 35*l**2 - 4*l - 15 wrt l?\nAnswer: -68*j + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w. Let k(l) be the third derivative of -l**5\/10 - 46*l**2. Give k(o(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17764.\nAnswer: 2, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 6. Let q = w + -9. Let f be (-3 - 39\/(-15))*5. Is q less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12166 and 553?\nAnswer: 12166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w + 7 = 23*w - c, -4*w = -2*c - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e25 - 1b?\nAnswer: -e41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19362 and 1239?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {b: 2, a: 18}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**6\/120 + g**5\/15 - g**4\/4 + 2*g**3\/3 - 30*g**2. Let m be k(2). Suppose -12*p + m = -72. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/7 - 46*z\/7 + 180\/7 = 0.\nAnswer: 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*j + 29*j + 5*j**2 + 14*j + 40*j + 38*j to r*j + a*j**2 + q and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3789595?\nAnswer: 5, 23, 31, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5*w - 2*f**3*w**3 + 278*f**3*w + 331*f**2*w**3 - 2*f**2*w**2 wrt f.\nAnswer: 120*f**2*w - 12*w**3 + 1668*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4807224 and -0.1?\nAnswer: 480722.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ohocooccohhhhhoch.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: db3 (base 16) to base 15\nAnswer: 108c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-230))\/(126\/483).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5858, -11714, -17570, -23426?\n\"Answer: -5856*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208256 and 35794?\nAnswer: 2290816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s**2 - 11*s + 48. Let r be v(11). Let z = r - 893. Let 2\/13*n**z + 6\/13*n - 8\/13 = 0. What is n?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1\/(54\/135)*14\/2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7415427989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 48\/18 + 6\/18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 3*u - 3*u. Let a(w) be the third derivative of w**8\/20160 + w**5\/30 - 3*w**2. Let q(t) be the third derivative of a(t). Give n(q(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + (17 - 17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.08592895 less than -5.671?\nAnswer: -4.58507105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 0.04382, 1510?\nAnswer: 0.04382","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1177\/42 + 169\/6. What is the closest to 2 in 2\/17, k, 3, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32693874 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7664894667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 47. Calculate the smallest common multiple of 3 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2830819*b**3 + 1216*b**2 - 6*b + 188 wrt b?\nAnswer: -16984914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.223 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -0.02780299?\nAnswer: -0.02780299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11727\/1030 + -3\/206. What is the common denominator of (-1 - (-1)\/2)\/(6533\/470) and m?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, w: 4, m: 2, e: 1, g: 2}. Give prob of picking 2 g and 2 c.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 13 = 6*z, 5*w - 10*w = 5*z + 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-1 - -3)) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37378706 or -37378701?\nAnswer: -37378701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-30) + (687\/30 - 23). Which is the closest to 1\/9? (a) -2\/9 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765281?\nAnswer: 11, 29, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345815 is divided by 43204?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000576694 rounded to 6 dps?\nAnswer: 0.000577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/2481301 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.448 + -4.248. What is the closest to v in 1, 0.04, -2\/17, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -715 + 253 - 6*z + 397 + 394 in the form n + f*z and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*z + 0)*(0 + 12 + 8)*(3 - 7 - 49*z + 2) + (-3 + 3 + 2*z)*(3*z + 3*z - 5*z) - 14*z**2 + 3*z**2 - 8*z**2 in the form a*z + f + j*z**2 and give a.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 102 = -2*a - 101, k - 4*a = 13. Calculate the remainder when 164 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42565330 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6748 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**4\/24 + 7*a**2. Let r(d) = -5*d. Give y(r(x)).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 2:53 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -6*h**3 + 164*h**2\/3 - 112*h = 0.\nAnswer: 0, 28\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39\/18 + 8\/24. Which is the third smallest value? (a) g (b) -1\/3 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2459 = -0*c + 5*c - w - 2509, 3*w = -2*c - 150 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-8 + -7 + 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1611912 and 24252?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -51*x**2. Let r(y) be the second derivative of -167*y**3\/6 - 870*y. Calculate r(i(f)).\nAnswer: 8517*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -z - 89. Does 58 divide (0 - (-1595 - 0))*(-68)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21888413.0727 and 0.5.\nAnswer: -21888412.5727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 24 = -1, r = 5*c + 292. Suppose 5*d - r = -37. Does 41 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 0 + 9\/2*q**2 + 1\/6*q**3 + 13*q. What are the prime factors of k(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 10*u - 9. Let d be x(9). Sort -0.4, 2\/11, d, 3 in decreasing order.\nAnswer: 3, 2\/11, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-391)\/(-46))\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 6*x - x**2 - 5*x**2.\nAnswer: -2*x*(2*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6270188.5 - 366.\nAnswer: 6269822.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 - 18*g + 3. Let x be c(-6). Suppose q - 6 = -3*v, 0*v + 2*v = -x*q + 4. Solve -1 = -v*m - 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7335 + -3567. Let k = -30209\/8 + i. Calculate the common denominator of k and 2\/5 + 86\/(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 7:37 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3925)\/2355*26\/(-5)*(-156)\/169\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - 5 + 5)*(6*h - h - 3*h)*(-2*h**2 + h**2 + 5*h**2) in the form o*h**3 + p + n*h + u*h**4 + r*h**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 239.\nAnswer: -5\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 - 3) - (0 - 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -4*s**5\/5 + 4*s + 1. What is the derivative of a(o) wrt o?\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*g**2 + 12915*g - 4307*g - 4298*g + 2*g**3 + 109*g**2 - 4310*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 99, -2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-20) - (-27)\/15. Calculate the lowest common multiple of (-22)\/(0 + (-10)\/5) and 4\/o + (-3 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*b = -188 - 572 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -36 - (3 + -1 + 3) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 89540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6430 - -1647. Let r = w + 13070. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 99863*p - 9. Let j(s) = 11095*s - 1. Give -2*g(y) + 19*j(y).\nAnswer: 11079*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*47822864.\nAnswer: -526051504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28688079457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v**3 + 5*v**2 + 8*v - 25. Is k(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 344475\/((-72)\/8) + 8. Let i = l - -64408. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q - 2 = -19*q - 3*c, -4*q - 5*c = 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - f + 49 = -0*f, t + 3*f = 7. Let o(p) = p**2 + p + 3. Let m be o(-3). Suppose -29 + m = -4*c. Solve 0 = 2*i + c*r - 21, r - t = -r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -33*g + 105. Calculate a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3556.74ug to kilograms.\nAnswer: 0.00000355674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1724743278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35447542305 - 0.07.\nAnswer: 35447542304.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v - 2. Let j(q) = q + 1. Let z = 15 + -12. Determine z*j(c) + s(c).\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 4)*(-2*n + 1 - 1)*(3*n + n - 5*n).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 291\/29 (b) -7 (c) 2\/9 (d) 1\/6 (e) -11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -2 - (sqrt(363) + -2 + sqrt(363)))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 11*g + 14. Let d be 3\/((-9)\/(-4)) + (-1653)\/(-171). What is w(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, -17, -42, -119, -272?\n\"Answer: -4*o**3 + 10*o**2 + o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 11. Let t(i) = -i + 11. Let s(o) = 5*k(o) + 6*t(o). Let a(j) = 3*j. Let l(w) = 8*w + 5. Let y(b) = 2*a(b) - l(b). Calculate 4*s(u) + 9*y(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 - (-6)\/(-1)) + 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0099, -0.5, 0.09?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 m, and 1 z when four letters picked without replacement from {d: 2, m: 3, z: 2, c: 6, y: 5, h: 1}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.992 + -0.008. Suppose 3*r - m + 325 = -0*r, -4*r - 428 = 4*m. Let t be 105\/r + (-6)\/(-8). What is the nearest to -1 in -2\/13, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 3.17 + 0.0453.\nAnswer: 3.2153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khh when three letters picked without replacement from {k: 5, h: 11}?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 3, m: 5, a: 1, t: 3}. Give prob of picking 1 m and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.35236074*0.01.\nAnswer: -0.0135236074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 - f**2. Let u = 43 - 37. Suppose 0 = 3*s - u*s + 3. What is o(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*i - 11*i - 123 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1137 by -120813.\nAnswer: 379\/40271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*j - 34 + 7, -4*i = -2*j - 20 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-10)\/4)\/(-5))\/((-7)\/(-70)). Let i be (-1 + 3)*5\/25*o. Solve -1 = u, -4*z = -i*u + u + 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 6 = -12*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3635149 by 3.\nAnswer: 3635149\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/19 (b) 0.1 (c) 37 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 4*h - 12. Let t = -3346 + 3351. Give k(t).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.4 + 844946.\nAnswer: 844936.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*k + 18, 4*k = -3*s - 14 + 73. Suppose k*r + 14 = 47. Calculate the smallest common multiple of r and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 93*t + 1158. Give m(-40).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 7*h - 760. Round h to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.58587 decades in millennia?\nAnswer: 0.8758587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28629 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.013 * 0.5.\nAnswer: 5.5065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2 - 108150*r + 216320 = 0.\nAnswer: -21632, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d - 3*d)*(5 + 1 - 5) + 0*d - 2*d + 0*d + (2 - 5 + 2)*(0*d + 0*d - d) + 0 + 2*d + 0 + 2*d - 3 + 3.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19632 = -85*b - 1142*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*g - 7. Suppose -2*l - 4*q + 600 = g*l, 2*l - 272 = 5*q. Is (-3 + l)*(0 - -1) 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 6:57 AM and 9:09 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (14 + -20 + 0 - (-9 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = -2*w - 265. Let x = -114 - w. Suppose -l = t + 3*t - 136, 3*t - x = -3*l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 41.8. Let f = n - 1.8. What is the third biggest value in f, -2, -1, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32026214 + 3.2.\nAnswer: -32026210.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cb00 - 2?\nAnswer: -cb02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/228*2*16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -93, -251, -553, -1047, -1781?\n\"Answer: -8*i**3 - 6*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 5*k**3\/3 - 1. Let l(x) = 35*x**2 - 15*x**2 - 22*x**2. What is u(l(t))?\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -366, -540, -718, -900, -1086, -1276, -1470?\n\"Answer: -2*q**2 - 168*q - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*m*r - c**2*r*u + 9*c**2 - 38*c*m*u + 35*c*r*u - 5*m*r - u wrt m.\nAnswer: c**2*r - 38*c*u - 5*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270996 and 33?\nAnswer: 270996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 10*o\/3 - 4.\nAnswer: -2*(o - 3)*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (56 - 67)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(208) + -2 + 0.\nAnswer: -7 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 39\/1*2\/(12\/2). Suppose 5*v + 4*y = 16, -f*v + 12*v = -2*y - 6. Solve -v*g = b + 12, -4*b + g - 3*g - 20 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4 - 40*x**3 + 252*x**2 - 392*x - 686 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 1537767.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3173066 divided by 46?\nAnswer: 1586533\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 275 = 5*z, -g - 4*g + 220 = 4*z. What are the prime factors of z?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 1. What are the prime factors of b(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0, -725 in increasing order.\nAnswer: -725, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*p**3*y - p**3 + 12*p**2*y**4 + 368*p**2 wrt y?\nAnswer: -7*p**3 + 48*p**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 5*m**2 + 8*m - 7. Let h be t(6). Let q(s) = 12 + 0*s**2 - 12 + 6*s - s**2. What is q(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 - 73*r**2 - 117*r + 116. Calculate c(38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - -1) + (-18 + 24 - 17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.161 + -0.339. Suppose 3*w + z = 5, -2*w + 2*z - 2 = 8. Let p = 3 - 3. What is the nearest to p in 4, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9952 and 4693612?\nAnswer: 37548896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1\/(-4) + -150*3\/(-72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -84*l + 79*l. Put l, -13, -2 in ascending order.\nAnswer: -13, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 979*f - 984*f + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 4. Let r be u(8). Suppose 5*v + 0 = r*g + 4, 4*g = -4*v - 4. Suppose 4*k = -3*z + 3171, v*z + 5*k = -z + 1046. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 24. Let n be m(18). Let g(s) = -2*s**2 + 2. Let t(q) = -q**2 + 1. Calculate n*t(y) - 2*g(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -23079?\nAnswer: -184632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4 + 83241*s**3 + 499374*s**2 + 998700*s + 665784 = 0. Calculate s.\nAnswer: -27741, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 - 82*g\/5.\nAnswer: -g*(g + 82)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22201 = j + 3287799. Round j to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1046\/9 + 116. Let v = 0.6 - -1.4. Let k = -1\/120 - 77\/360. Which is the closest to k? (a) v (b) -0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61, 44, 15, -26?\n\"Answer: -6*i**2 + i + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58, 72, 92, 118, 150, 188, 232?\n\"Answer: 3*p**2 + 5*p + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsggsgwgw. What is prob of sequence gww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18863*r**6 - 121*r**5 + 3*r**3 + 1085*r**2 - 5382?\nAnswer: 2263560*r**3 - 7260*r**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 3\/8, 0.1, -3.\nAnswer: -3, -1\/4, 0.1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6813 * 13948.\nAnswer: 95027724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -145*u + 19*u - 95*u - 7*u + 748 wrt u?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/5, -8\/5, -0.07, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -19*z - 5. Let h be d(-1). Calculate the highest common factor of h and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 420 - 60 = 0. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - x = -25, 5*i = -0*x - x - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08307 + 0.08312152. Round g to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/33638 and -5\/156453.\nAnswer: 43493934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333977541 to the nearest integer?\nAnswer: 18275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 - 2\/(-2). Let g = 56 + -39.6. Let m = g + -15. Which is greater: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2776376358 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.5682436 to 2 dps.\nAnswer: 4.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*h**2 - h**2 - 19*h**2 - h in the form p*h + m + s*h**2 and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 4*x + 5. Let n(u) = 4*u + 1. Let z be n(2). Suppose 4*k + z = g, g + 5*k + 25 = 5*g. Give v(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 9. Let s be f(-11). Differentiate -23 + 9 + 57*v**2 - 36*v**s wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13894861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - o + 53. Let l be q(0). Let s = l + 4. Let u(x) = s*x**2 + 53*x**2 - 111*x**2. Let g(a) = -37*a. What is u(g(f))?\nAnswer: -1369*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 - -111. What are the prime factors of 5 + (-4 + w)\/(2\/1076)?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -17954631596738.\nAnswer: 17954631596737.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2721*j - 10972. Calculate v(4).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 499688372, 999376742, 1499065112, 1998753482, 2498441852, 2998130222?\n\"Answer: 499688370*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1508*y**2. Let o(v) = 4*v**2. Calculate o(z(d)).\nAnswer: 9096256*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2.8, -1, 4, 0.5?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + (sqrt(117) - (sqrt(117) - (sqrt(117) + 0))) + 2 - (sqrt(117) + 1)*-3.\nAnswer: 5 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 850\/73 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -264, 163, 956, 2169, 3856?\n\"Answer: 9*m**3 + 129*m**2 - 23*m - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 12*n**2 + 9*n - 8. Let c be r(-11). Suppose 599*m = 1151*m - 3864. Calculate the highest common divisor of m and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 243625 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + ((-93)\/(-9))\/(1316\/84 - 16)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 9 = 3*s - 8*a, -2*s - 2*a - 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**5\/12 - s**3\/6 + s**2. What is the units digit of z(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 - p. Let m(z) = 7*z**3 - 9*z - 8*z + 1 + 29*z - 9*z. Suppose -3*o + 3 = 18. Let r(v) = o*a(v) - 2*m(v). Give r(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(4) - -1*sqrt(4)*-2).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -j + 8, j - 5*j - 64 = 4*k. Let n = k - -7. Sort n, 2, 4 in descending order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*w**2 - 76*w**2 - 144*w**2.\nAnswer: -62*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/71497 and 9\/5035?\nAnswer: 357485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p**3 - 2*p**2 - p - 39. Let b(a) = 11*a**3 - 3*a**2 - 2*a - 35. Determine -2*b(w) + 3*r(w).\nAnswer: 2*w**3 + w - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 714 and 6366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 19.3. Let t = 3.2 - k. What is the third biggest value in 2, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - 22) + (-10 - (-3 - (1 - 0)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 171 = 3*i, v + 4*i - 173 - 12 = 0. Suppose 37 = -7*j + v. Suppose -20 = -4*k, -a + 4*a - 4*k = -j. Solve a = -3*p + 13 - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 131.6, 7\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2. Let t be (247\/38)\/(2\/(-4)). Let g(n) = -30*n - 71. Let v(c) = 14*c + 35. Let u(a) = t*v(a) - 6*g(a). Determine m(u(y)).\nAnswer: -12*y**2 - 348*y - 2523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2113562 (base 7) to base 6.\nAnswer: 5252212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 2080*n. Let c(r) = -17*r**2. What is u(c(y))?\nAnswer: 578*y**4 + 35360*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 215647, 215644, 215641, 215638?\n\"Answer: -3*x + 215650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 1. Let w be -9*14\/(-21)*6\/(-9). What is the closest to 0.1 in 1, y, 4, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -14*s**2 + 20*s - 6. Let i(y) = 16*y**2 - 21*y + 7. Suppose -35*l + 18 = -32*l. Let q(z) = l*i(z) + 7*c(z). Factor q(d).\nAnswer: -2*d*(d - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.435 from -134.6.\nAnswer: -133.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32436*b**2 - 30079*b**2 + 62557*b**2.\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 1911.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**5 + 252*d**4 - 5775*d**3 + 20406*d**2 - 24480*d + 9600 = 0.\nAnswer: 1, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17110226.\nAnswer: 2, 7, 1222159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 10*v = -18, 0 = 2*o - v + 138 - 153 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 divided by 2?\nAnswer: -153\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4355472 and 1919192?\nAnswer: 840606096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (5*8)\/4 - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2168, -0.3, 4, -2\/3 in decreasing order.\nAnswer: 4, 0.2168, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000057031 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 4*o. Let l be q(4). Let b(x) = 5*x - 38. Let t be b(8). Factor -1\/3*j**t + 0 + l*j.\nAnswer: -j**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050821741.\nAnswer: 271, 3877571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and 59\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 160, 326, 512, 718?\n\"Answer: 10*y**2 + 136*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 13*k**2 - 3*k - 4. Let w(a) = 13*a**2 - 2*a - 3. Give -3*n(z) + 4*w(z).\nAnswer: 13*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19274, -39066, -59372, -80192, -101526, -123374, -145736?\nAnswer: -168612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 12. Let k be w(16). Suppose k*f = 7 + 9. Solve -11 = -5*o + f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5152 - 2673890\/519. Let o = -1028\/2595 + p. What is the second biggest value in o, 2, 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = q + 5*k, k - 11 = -5*q + 140. What is the greatest common factor of q and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -8. Suppose 8150*u = 8153*u + 12. Sort p, -1, u.\nAnswer: p, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9*v - 25 = -5*z, -z - 3*v - 3 = 0. Solve -z*s = -3 + 21 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7\/289, -4\/5, -1\/208.\nAnswer: -2, -4\/5, -1\/208, 7\/289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2238237*j + 884815 wrt j?\nAnswer: 2238237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -225, -503, -889, -1383?\nAnswer: -1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*g + 36*g - 13*g + 2*g**2 to the form p*g + b*g**2 + x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 303 - 198. Let g = -96.6 + h. Round g to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 357 + -234. What are the prime factors of (x\/(-5) + 7)\/(2\/(-25))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15954218*i**3*v**3*x - 5*i**3 + 6*i*v**2*x + 2*i + 5856*v**2 - v*x wrt v.\nAnswer: 95725308*i**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1431, 2723, 3751, 4383, 4487?\nAnswer: 3931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/16*6)\/((-9)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -1. Suppose 2*t - 11 = -x. Suppose 0 = -5*p + p + c + 45, -3*p = -t*c - 36. Solve 2*g + 3 = p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 840970292141 + 8*s**3 - 840970292141 + 7*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1545134 to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*x**3 - 28\/3 + 4*x**2 + 6*x.\nAnswer: -2*(x - 7)*(x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -20*i + 65158. Let p = i + 41874. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 10*n**2 + 10*n - 6. Suppose -1 - 8 = -y. Let j be a(y). Let b(w) = -j*w + 3*w + 5 - 5*w + 2*w. What is b(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 17*w - 118. Determine k(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/8 - (-106)\/4. Let v = k - 15. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -142*l - 1704. Let r be n(-12). Sort -2, -21, 2, -4, r in ascending order.\nAnswer: -21, -4, -2, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {u: 2, q: 5, e: 1, d: 1, w: 2, p: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 11*t**2 + 100*t - 340. Determine x(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714 is divided by 252?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 4*n + 2. Let y be r(-3). Let k(o) = o - 6. Let j be k(y). Let w = -352 + 347. Put 15, w, j, 5 in descending order.\nAnswer: 15, 5, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 103 = 3*m, 4*m - 54 - 5 = -4*o + 3*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3220843111?\nAnswer: 23, 2719, 51503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to -110138\/449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -205350*f**3 + 44*f**2 - 42939381*f wrt f.\nAnswer: -1232100*f + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d = -25. Let s = d + 30. Suppose -c + 4*u + 3 = 5*u, c - 7 = u. Solve 4*w - 4*h + c = -3, s*h = 2*w - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15126, -30306, -45522, -60798, -76158, -91626, -107226, -122982?\nAnswer: -138918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = y - 0*y - 5, -2*y + 10 = -2*u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 = -s - 3*x - x, 4*s + 2*x = 1292. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {j: 1, y: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-12))\/((-11)\/(-22)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 190592504 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 9:37 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-4)\/(-2))*22\/(-385)*7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 34. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84205.2 and -55.\nAnswer: -4631286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {g: 12, q: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 898 = 5*d + 870, 0 = 5*d - 0*d - 8*v - 31 - 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -210222611 (base 7) in base 5?\nAnswer: -11133030144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81139 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 4*q**2 + q**2. Let u(a) = 7*a - 9*a + 5*a. Give u(g(x)).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -107*k**2. Let l(o) = -5*o + 4. Let m(g) = -11*g + 9. Let w(z) = 9*l(z) - 4*m(z). Calculate a(w(t)).\nAnswer: -107*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*s = -9, -2*s - 3*s + 25 = 0. Suppose 4 = 4*x + 2*v, 0*x - 14 = 2*x + 5*v. Let o be (x\/(-7))\/((-20)\/35). Which is bigger: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6. Let v = -0.04 - m. What is v rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, -3, -5 in decreasing order.\nAnswer: 12, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1070 and 70.\nAnswer: 7490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let q(t) = -t**2 + 8*t + 11. Let l be q(9). Let p be m(l). Solve -2*i = -i + p*v + 1, 2*i + 2*v = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*a + 4 = 0, 12*l - 2*a = 9*l + 5. Suppose 3*o - 10 = 2*o. Calculate the remainder when ((-3)\/9)\/(2*l\/(-174)) is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/7)*l**3*l*(l**(-1\/3))**49 assuming l is positive.\nAnswer: l**(-253\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.39 - 2.3. Let i = -0.0900004 + c. Round i to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37550?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -11.12. Let y = 0.19 - i. Let r = 0.35 - y. What is r rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 20*l**2 - 715377 + 357698 - 10*l**2 + 3*l + 357679.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.319 (b) -590 (c) 5 (d) -0.3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459446881947 + 459446881947 - 3*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*k + 3*f - 6*f, 4*k = -f - 18. Which is the nearest to -4? (a) 1 (b) 2\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/997 or 1?\nAnswer: -1\/997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 14*w**2 - 9*w - 3. Suppose -6*u = -4*u - 60. Suppose -2*j + u = 10. Is d(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 235*f + 41. Let s(p) = -47*p. Give a(k) + 6*s(k).\nAnswer: -47*k + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*q = 95*q - 31. Calculate the greatest common factor of q and 613.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4304 and 1328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:33 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41888 + -1842947\/44. Let l = y - 11\/4. Let a = 5 + -4.7. Sort l, 5.3, a in increasing order.\nAnswer: l, a, 5.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.5, -5\/3, 5, 1\/287 in ascending order.\nAnswer: -5\/3, -0.5, -2\/7, 1\/287, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -708*d**4 + 4*d - 3*d**5 + 708*d**4 wrt d.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 8.7. Which is the biggest value? (a) 0.3 (b) 3 (c) 0.04 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -206*z**2 + 5*z + 3. Let m(y) = -412*y**2 + 10*y + 7. What is 2*m(v) - 5*n(v)?\nAnswer: 206*v**2 - 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 19 = 3*h - 2*h, 5*h = 2*a - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 285 + -291. Is o less than -120\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 335 - -112521040?\nAnswer: 112521415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + 4 + sqrt(1331))*-3 - (-1 + -1 + sqrt(1331) - sqrt(1331)))**2 - (-5*sqrt(1331)*4 - (4 + sqrt(1331) + 3 - sqrt(1331)))**2.\nAnswer: -484433 - 1760*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 5*o - 22, 4*x + 4 = 8*o - 11*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*i**2 + 2 + 323*i + 4 - 1 to the form c*i + y*i**2 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4868684 + -1479\nAnswer: 4867205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptpp when four letters picked without replacement from tppp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 11396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/1200*-10*(-75)\/(-6)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 76 - 24 = 0. What is the lowest common multiple of r and 17?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -483*h + 46. Let l be (8 - 86\/8) + (-6)\/(-8). What are the prime factors of g(l)?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2527665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -17*u**3 + 2*u**2 + u - 7. Is d(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 100*i - 11. Let m be g(7). Calculate the highest common divisor of m and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18932, -37892, -56852, -75812, -94772?\nAnswer: -113732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/3 + -2)*9. Suppose 0 = -p*r - 0*r + 6. Suppose -r*u = 5*y - 23, -5*y + u + 24 = 2*u. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3126 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: Suppose j = -3*j + 32. Let l = 16 + -12. What is the highest common divisor of l and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 - 3182*l**2 + 6426*l**2 - 3244*l**2.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/23)\/(z*z*z*z**0)*(z*(z\/z**2)\/z)\/z**8 assuming z is positive.\nAnswer: z**(-274\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 8*v**2 - 5*v - 5. Let l(u) = u**3 + 8*u**2 + 7*u - 4. Let d be l(-7). Let z be m(d). Let k be (3*5\/z)\/1. Solve k + 9 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2957 + -1664. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9115.705442 rounded to the nearest ten?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9965*p + 9979*p - 164 = -4*c, 2*c = 2*p - 26 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - g**2 - 7*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 122*n - 830. Calculate h(6).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 743*d**3 + 794*d**3 - 2608*d**3.\nAnswer: -1071*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31, 103, 265, 565, 1051, 1771, 2773, 4105?\n\"Answer: 8*b**3 - 3*b**2 + 25*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 - -c3b0?\nAnswer: c389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/195188 and -47\/209130.\nAnswer: 2927820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**7\/2940 - j**6\/630 + j**5\/420 - j**3\/3 + 6*j**2. Let b(s) be the first derivative of d(s). Factor b(g).\nAnswer: 2*g*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2527 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7*r + 12*r - 22*r + 0.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -33*p + 417. What is d(5)?\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 k when four letters picked without replacement from {z: 1, k: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 42. Let l be 0 + 4 + c + 5. Solve 5*m = -3*k - 5, 2*k - 3*m = l*k + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 1a?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-35)\/21 - -1)\/((-1)\/81). Calculate the common denominator of (-32)\/u*(-42)\/12 and -22\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-445)\/178 - (2 + (-3)\/6) - -30352.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 plus -604?\nAnswer: -601.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 129872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (980\/(-160) - 3*(-1)\/(-6))*(15 - 7)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1400213324 + -3?\nAnswer: -1400213332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172.1 - -182. Let z = 10.3 - t. Sort -1\/3, 2\/3, z, -4\/7 in decreasing order.\nAnswer: 2\/3, z, -1\/3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51.01 and 0.24336.\nAnswer: 12.4137936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1647 - 1655.07. Let c = r + 8. Suppose 0 = 2*d - 3*d. Do c and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5276 - 3532. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 229*j*q**2*s - 2*j*q**2 + 104*j*s + 1068*q**2*s + 140*q**2 wrt j?\nAnswer: 229*q**2*s - 2*q**2 + 104*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 11:51 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 3264 = -4*q + 34*q. Solve 160*m = 177*m - q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10360, -10191, -10022, -9853?\nAnswer: -9684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57357 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 t, and 2 j when four letters picked without replacement from {d: 1, k: 1, q: 1, f: 4, j: 5, t: 1}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 1, -1\/5, -1287727?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 2083.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*g + 6. Let r(m) = -88*m**2 - 2 + 88*m**2 + m - 2*m**3. Is r(g) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10.90389 and 516.\nAnswer: 505.09611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/73817?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111100 (base 2) to base 7.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*l**3*w - 5*l**3 + 209297*l**2*w + 2*l**2 + 266*l + w - 1 with respect to w.\nAnswer: -17*l**3 + 209297*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzzbzzwzbbzhzq. What is prob of picking 1 q and 1 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324\/5*h**2 + 36\/5*h**4 - 162\/5*h**3 + 0 - 3\/5*h**5 - 243\/5*h.\nAnswer: -3*h*(h - 3)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i - 202 = -499 + 203 + 202 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 21*x + 11)*(4*x**3 - 2*x**3 - x**3).\nAnswer: 21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1489947478 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 358646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 197*n**6 - 2997*n**4 + 69*n**2 - 14744*n.\nAnswer: 23640*n**3 - 71928*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**2 - g**2 + 4*g**3 + 8*g**3 + 0*g**2 wrt g.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-18)*l\/(l\/(l**(4\/15)\/l))*l assuming l is positive.\nAnswer: l**(289\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) -7.5 (d) -3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 108.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 8. Calculate j(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 393 = -60*n + 127 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15747149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13342792 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -475, 0.3, -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 - 2*k - 34. Let s(i) = 5*i**2 + 3*i + 51. Calculate 8*l(o) + 5*s(o).\nAnswer: o**2 - o - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-61*s - 50*s + 108*s)*(2*s + 0*s - 4*s) - 3*s**2 + 4*s**2 + 3*s**2 + 0 - s**2 + 0)*(2*s**2 + 4*s**2 - 5*s**2).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 796999855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 790261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 861\/6888*4\/6*(-9)\/(-12)*-5.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5357*x**5 - 1883*x**3 + 34189*x**2 - 274.\nAnswer: 321420*x**2 - 11298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125750570 to the nearest integer?\nAnswer: 11214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*u - 0*u + 20, 4*m = 3*u + 23. Is 66 a factor of 1\/u + 21393\/81 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/535500 and -50\/1071.\nAnswer: 535500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppuu when four letters picked without replacement from uuuuuuuppcucuuu.\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101.461 + 102.4609875. Let y = -3.8 + 2.8. Let n = i + y. Round n to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 711062 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 256938 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, 3, -4, 0.5, 1\/1834?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 11 - 115\/(-20).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 565633.53 hours to weeks.\nAnswer: 3366.86625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 435.06 + -435. Let u be 3\/(-4)*1\/3. Let m be 3*1*(-32)\/(-336)*-7. Which is the smallest value? (a) -3 (b) m (c) x (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 60349025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -29. Let y be (-57)\/v + (-3)\/(-6). Calculate the greatest common factor of y and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 457 + -444. Calculate the greatest common factor of 221 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19 - (-1 + -1 + 1). Let r be a\/70 - (-12)\/7. Solve t = -t - r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c - 3. Let h be s(5). Let k = 26 + h. Let n(q) = -2*q + 10. What are the prime factors of n(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 130*g**2 + 16*g + 1968. Let y be f(-130). Which is the fifth biggest value? (a) y (b) -3\/4 (c) -0.3 (d) 2\/15 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5466 - -5466.3. Put 0.4, -22\/13, 4\/5, -2, y in decreasing order.\nAnswer: 4\/5, 0.4, y, -22\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/43 - ((-84)\/18 + 5)*-6.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**3 + o + 30 + o**2 - 4*o**3 + o**3. Let y be i(0). Is 10 a factor of (8\/12)\/(2\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 9:09 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**4 - 4*u**4 + u**4)*(-11 - 11 + 8) + 5*u**2 - 5*u**2 - 2*u**4 + 3*u**4 + 0*u**4 - 5*u**4 + (-4*u**2 + 0*u**2 + 2*u**2)*(2*u**2 + u**2 - 2*u**2).\nAnswer: -20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30619743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 103 = -4*k, 3*o + 17*o - 73 + 208 = -3*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:42 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9129\/4270 + 3\/610. What is the common denominator of -5\/16 and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2012*r - 471*r + 1407*r.\nAnswer: 2948*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 41 = -53*p + 48*p, 2*p + 4*z = -26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**3 + 7 - 5 + 0)*((-3 - 1 + 3)*(-d - 5*d + 4*d) + 1 + d - 1).\nAnswer: -24*d**4 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 222120212200021 (base 3) in base 15?\nAnswer: 13919d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 660*g - 6447 + 90927 = 1112*g for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0)*2*-2. Let j be -7 - (2 - (-414)\/(-48)). Let r = j + 25\/24. What is the nearest to r in m, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-60) - 56\/(-10). Let l(y) = y**2 - 7*y + 2. Give l(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -0.3. Let b = 28.3 + -27. Let a = 0.7 + b. Sort r, a, 5\/3 in descending order.\nAnswer: a, 5\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d*k**2 - 2*d*k + 2*d - 484305*k**3 + 15*k**2 + 107081 wrt k?\nAnswer: 8*d - 2905830*k + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 530\/(-1060) + (-22)\/41 + 1. What is the closest to z in -0.4, 1\/6, 2, 2\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263536546.\nAnswer: 2, 7, 13, 1448003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 4*y**2 - 9*y + 3. What is the lowest common multiple of l(4) and 6?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*v + 20*v + 427*v + 166*v + 254*v to t + m*v and give m.\nAnswer: 1007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*-5 - 2)\/1. Let y = 12 + l. Let o(q) = q**3 - q + 15. Let w be o(0). Calculate the greatest common factor of w and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-one halves of a kilogram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*d - 268 = 119. Solve -2*y + l = -1, 3*y - 2*l - d + 2 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 15 = -4*s - 37, -4*o = -2*s - 42. Solve 3*p - o = 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 179*w**4 - 359*w**4 - 55*w**2 + 2*w**3 - 1 - 936*w**4 - w wrt w.\nAnswer: -26784*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:49 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*c - 22 = 0, 2*c - 7*c = 4*q + 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563209?\nAnswer: 29, 19421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-16)*(u**9*u*u)\/u assuming u is positive.\nAnswer: u**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5 - m**2 + 4 + 0 - 10*m. What is s(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25410 (base 6) in base 12?\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 543321643 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 -23732, -23726, -23718, -23708?\n\"Answer: x**2 + 3*x - 23736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9104, 9084, 9064, 9044, 9024, 9004?\n\"Answer: -20*r + 9124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3055 + -43?\nAnswer: -3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 - 4*i**2 + 0*i**2)*(-i + 2*i - 4*i + (0 + 0 + 1)*(-i + 2 - 2)) in the form b*i**3 + a*i**2 + v + q*i and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -12, -40, -80, -132, -196, -272?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16191 + 5c?\nAnswer: -16134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -221 + 252. Solve -40 = -3*n - x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + h + 3 = -2*h, -14 = 2*z - 2*h. Let g be (-1)\/z - 28\/(-16). Suppose -15 = -g*u - 5. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 9114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*k**3 - 2622*k**2 + 3920*k + 24 = 0 for k.\nAnswer: -1\/164, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1401520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-5)\/(20\/(-16)). Suppose 37 = 5*d + b, 31 - 3 = 5*d + 4*b. Suppose c*f - d*f = -96. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 7 + (2 + (-15 - (11 - 8)) - -10)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/275 + (396\/63 - 6) + (-61734)\/(-1050).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*l**3 - 82000*l**2 + 864660*l - 381600 = 0. What is l?\nAnswer: -1272, 6\/13, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 539, 1 in increasing order.\nAnswer: -18, 1, 539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/(-85) + (-23278)\/(-515)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*h**2 + 10*h**2 + 10*h**2)*(-181 + 181 - 21*h**2) as s*h + w*h**3 + q*h**2 + y*h**4 + d and give y.\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let c(i) = -3*i**2 - i**2 + i**2 + 18*i**2. What is j(c(w))?\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1606691164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/62206859 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*2)\/(1\/4). Suppose -152 = -w*f + 152. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -19328, 172 in descending order.\nAnswer: 172, -6, -19328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojnhnnnnjhn. Give prob of picking 1 o and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 3*c**2 + 3*c - 3. Let r be l(2). Let q = 2.06 - 2. Let p = 805902 + -805900. What is the closest to r in -5\/4, q, p?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 104*f + 1. Let s = -56 - -57. Let m be c(s). Let l be (-13 + 1)\/(8\/(-28)). What is the greatest common factor of l and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + 0*o**3 + o**3)*(30003 - 63*o - 30003 + (-3*o + 2*o - o)*(4 - 1 - 5) + o + o - 3*o).\nAnswer: -60*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61965041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 349.801749 to 2 decimal places.\nAnswer: 349.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1480 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3 + 13. Suppose 0 = l*w + 3*w. Suppose w*t - 8 = -4*t. Solve -v + t*v = -5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10774 + 4?\nAnswer: -10770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -244, -913, -2034, -3613, -5656, -8169?\n\"Answer: -y**3 - 220*y**2 - 2*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/60 - 7*b**4\/12 + 11*b**3\/2 + 39*b**2. Let t be r(11). Solve -2*f - 2 = t, 3*c + 3 = 6*c + 3*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 787459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1085 + -1087. Which is bigger: o or 3393?\nAnswer: 3393","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**3\/3 + 5*u - 3. Let o(v) be the first derivative of n(v). Let m(p) = 4*p. What is m(o(i))?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -ea0?\nAnswer: -e9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.121 + 13.921. Let z = l - 25.8. Put z, -3\/7, 1\/3 in decreasing order.\nAnswer: 1\/3, -3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/8)\/((-5)\/10))\/(120\/(-48))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-29502)\/(-32780))\/((-1)\/(-2)))\/((-51)\/(-20))\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(-3\/4)\/(t**1\/t*t\/(t\/((t\/t**(-1\/3)*t)\/t))))**(-18) assuming t is positive.\nAnswer: t**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3224285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 2, k: 2}. Give prob of picking 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g - 20*g + 57*g - 22*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -183\/2. Factor r**2 + k*r - 7\/2*r**3 - 1.\nAnswer: -(r - 1)*(r + 1)*(7*r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide (-52)\/((-11)\/((-60192)\/7287) - 28\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 979.\nAnswer: -17\/979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3056 is divided by 133.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 880*o**2 - 474*o**2 + 1354*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43757?\nAnswer: 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-6))\/((-178)\/(-801)))\/(-5 + (-1236)\/(-240))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3134, -11983, -26554, -46847?\n\"Answer: -2861*d**2 - 266*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1224101\nAnswer: 5\/1224101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -380136065?\nAnswer: 380136068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(95\/15 + -6) + -915. Calculate the common denominator of -83\/34 and 4\/18 - 417\/x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -7. Let j = m + 5.4. Which is the second biggest value? (a) 0.7 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehmhlzmozzez. What is prob of picking 1 h and 1 e?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.8 - 7. What is the closest to -7 in 3, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1908*g. Let q(c) = -803*c**2 - 820*c**2 + 1622*c**2. What is h(q(j))?\nAnswer: 1908*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + v**5 - 4*v**5 - v**5 + v**5 + v**5 + (-26*v + 310*v**4 + 8*v - 309*v**4)*(2 - 4 + 3*v - v).\nAnswer: v**5 - 2*v**4 - 36*v**2 + 36*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4152d4 (base 15) in base 12?\nAnswer: 1059301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 less than -67.7?\nAnswer: -65.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2617, -5268, -7859, -10390, -12861, -15272?\nAnswer: -17623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b + 9*b + 12*b)*(-6*b**2 + 4*b**2 - b**2)*(b**2 + 2*b - 2*b).\nAnswer: -33*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122532839 divided by -11139349.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -278e?\nAnswer: -2787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -621.568956 to the nearest integer.\nAnswer: -622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*g - 27. Let o be 0 + 2 + g\/(-12). Let r be (4\/(-90))\/((-2)\/6). Put o, r, -4 in descending order.\nAnswer: r, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/((-42)\/196)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + c - 5. Calculate g(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s = 24 + 81. Suppose u - 12 = -s*u. Factor 19\/2*c**3 + 8*c + u + 25\/2*c**2 + 7\/2*c**4 + 1\/2*c**5.\nAnswer: (c + 1)**3*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -3 - (-130 + 139).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -81417 - -7?\nAnswer: -81410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86.7 + 80. Let d = r - -7. Let p = -0.3 + 0.2. Which is the closest to p? (a) d (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-2376)\/80 + 17.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 5:25 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24722963 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*j + 805 = 0, -312 = -d - d - 4*j. Calculate the remainder when d is divided by 94.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6206 (base 8) in base 2?\nAnswer: 110010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40.99644 and -13.\nAnswer: -532.95372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18754472.4 and 13?\nAnswer: 18754485.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-24)*(-3 - (1 - -5)). Suppose -z + o = 3*n, 0 = 4*n - 9*n - z + 12. Let g be 2\/(-9) - (-6)\/27. Solve 0 = 3*y - n*k - 9, 3*k + 2*k + 10 = g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/12 - (-230)\/(-6). Let o = 39 + b. Solve o = -f - 1 - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -400*z**4 + 0*z**2 + 2*z**2 + 1 - 5*z + 401*z**4 in the form h*z**3 + i + j*z**2 + r*z**4 + k*z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*o + 7*o = 8, -4*m - o + 51 = 0. Suppose -m*v - 8 = -11*v. Which is the biggest value? (a) v (b) -15 (c) 0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -484 + -545. What is j rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -5\/6*w**4 + 0*w**2 + 0*w**3 + 0 + 16*w. Let p(f) = 2*f**2. Determine x(p(q)).\nAnswer: -40*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1176)\/99 - 3 - (745 + -760)\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10005334.99 to the nearest ten thousand.\nAnswer: 10010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kknkkkkn?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -5 - 15 - (-3 + -20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 2*n**6\/5 + n**4\/3 + 11*n. Find the third derivative of u(g) wrt g.\nAnswer: 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171 + 174. Solve -i*o - 4 - 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41187.1 + -41187. Which is bigger: l or 196\/75?\nAnswer: 196\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 7*x - 6*x, -3 = -y + x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = i + 4*i. Let d be 7\/(i\/(-48)) + 1. Solve -g + d = -6*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-49)\/((-8624)\/(-165)))\/(6\/(-8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 113 and 0.05619?\nAnswer: 6.34947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 32\/10151 (b) -0.052 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 0.153 (c) 275 (d) 2\/3 (e) 0.02 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445981?\nAnswer: 59, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0363818 to four dps.\nAnswer: -0.0364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3635)\/20 - (3\/(-4) - -1). Let g = u + 300. Calculate the remainder when g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/10)\/d**(2\/19)*(d**(2\/5))**(-32))**34 assuming d is positive.\nAnswer: d**(-42007\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 60, 96, 150, 228?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 6*h**2 - 7*h + 6. Let k be n(5). Let f(j) = -j**3 - 3*j**2 - 3*j - 5. List the prime factors of f(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8, 1\/3, -5, 519.04, 2, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114495139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*m + 140 = 0, k - 3*m - 812 = -4*k. Suppose -k = 5*a - 5*q, -5*a - 2*q = -0*a + 153. Let d = 27 + -57. Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3431*n - 6859*n + 3428*n - 1736*n**2)*((-2*n + 2 - 2)*(-5 + 3 + 4) - 6*n + 1 - 1).\nAnswer: 17360*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 17. Let i = -24 + p. Let q = -20 + 17. Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 11. Let b be (12\/(-21))\/((-4)\/28). What is the units digit of q(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1095 and 9?\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -3*u - 16, -115*u = -2*k - 113*u + 4. Let v(b) = b. Let r(m) = -2*m**2 - 6*m + 2. Determine k*r(d) - 6*v(d).\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 5*l + 70425, 3*g + 45*l - 211311 = 42*l. What are the prime factors of g?\nAnswer: 2, 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3 + 10 - 6 - 22*q - 6 + 30*q**2. Let w(x) = 29*x**2 - 23*x - 6. Let f(n) = -6*p(n) + 5*w(n). What is the second derivative of f(t) wrt t?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -7*g - 1. Sort -13, -3, g in ascending order.\nAnswer: -13, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 + 5*j**2 + j + 6. Let t(b) = -5*b**3 + 16*b**2 + 4*b + 18. Let k(c) = -11*o(c) + 4*t(c). Let m be k(-7). Round m to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 790.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in decades?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 - 11*g**2 - 12*g - 19. Let v be f(-3). Let d(q) = -2*q - 1. Let l(w) = -w. Determine v*d(o) - 2*l(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/15660 and 67\/285.\nAnswer: 297540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 819 (base 12) to base 10.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -254 or -58?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 194? (a) -1906 (b) 1\/33 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 378 + 18705. Does 75 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4110 - -8.399470894?\nAnswer: -4101.600529106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 + -0.17. Let j = -12 - -10. Suppose -m = 1 - 0. What is the nearest to m in 1\/5, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15930 and 1178411130.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cb + 5?\nAnswer: d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 640611218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 9:11 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, 1, -18, -4, 5 in decreasing order.\nAnswer: 122, 5, 1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2477024 and -19\/9920.\nAnswer: 24770240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4540*r. Let i(t) = -5*t. Calculate j(i(x)).\nAnswer: -22700*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8646 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -14*z**2 + 22. Let v(k) = k**2. Give m(v(s)).\nAnswer: -14*s**4 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2))\/i*i\/i**6)\/(i**5*i\/((i**8*i)\/i)) assuming i is positive.\nAnswer: i**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111184 and 1334208.\nAnswer: 1334208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 9:59 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1829 (b) 0.2 (c) -0.4 (d) -3 (e) 3.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-7) - 624\/(-112). Suppose 51 = 2*f - v, -c*f + v = -139 + 13. Suppose 12*u - 504 = 5*u. Calculate the remainder when u is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 43*s**5\/30 + 2605*s**2. Let f(p) be the second derivative of p**3\/2 - 2*p. What is f(k(j))?\nAnswer: 258*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - (-64)\/(-10))*-25. Which is the fourth biggest value? (a) g (b) -2\/11 (c) 2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 992, -1526, -8354, -21646, -43556, -76238?\n\"Answer: -359*f**3 - f**2 - 2*f + 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 + -384.36.\nAnswer: -384.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.8 (b) 0.0409 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (0 - (-2)\/(-2)). Suppose 5*k - 30 = -3*f + f, 3*f - 3*k - 45 = p. Let b(z) = z**3 - 12*z**2 + 28. What is the remainder when b(12) is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(126))\/sqrt(7).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 255068970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011446691 rounded to 7 decimal places?\nAnswer: -0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**3 + 5*z**3 - 2*z**2 + 0*z**3 + 348 - 3*z**3 to the form u*z**3 + c + f*z**2 + b*z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.3 + 4.5. Which is the closest to 0.1? (a) -11 (b) z (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + (13 - 56) + (-5 - (-112 - 2 - 0))?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h + 340 + 278 = 168 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, -20, -33, -46, -59?\n\"Answer: -13*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*3\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5 - -0.5. Let p = -1.19 - -0.79. Which is the third smallest value? (a) p (b) 1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/(45\/(-180)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(99\/(-7))*-3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*f + 990 + 505 = -829 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 + 68 - 194 + 66 + 1643*k in the form c*k + d and give c.\nAnswer: 1643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5\/5 - 101424*j**4\/5 + 642825256*j**3\/5 + 1287172032*j**2\/5 - 1414418524*j - 7716337968\/5 = 0. Calculate j.\nAnswer: -4, -1, 3, 12679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 e when three letters picked without replacement from {j: 3, t: 4, g: 6, n: 2, e: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:27 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157 or 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6713 - 66883 = -i, 0 = -i - 2*w + 60140. List the prime factors of i.\nAnswer: 2, 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 - -1. Sort j, 0, 1\/5 in ascending order.\nAnswer: j, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 - 1328 = -4*x - 5*t, -2*x + 507 = t. Let z be (-1)\/6 - 1154\/(-12). Suppose -4*w + z = -16. What is the greatest common divisor of w and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -4.\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -15. Let a(g) = 9*g**3 - 7*g**2 - 7*g - 9. Let v(c) = -4*c**3 + 3*c**2 + 3*c + 4. Give w*a(y) - 14*v(y).\nAnswer: 2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + q**3 - 2*q**3)*(0 - 3*q + 0) - q**4 + 10*q - 5*q - 7*q.\nAnswer: 5*q**4 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 + 3*d**2 - 5*d**2 + (d - 1 + 1)*(-4*d - 5*d + 4*d) + (1 + 0 - 3)*(-3*d**2 + 8*d**2 + 4*d**2).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62280750 and 15750?\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 258485517*w**2. Let z(g) = -g. Determine z(i(k)).\nAnswer: -258485517*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 34. What is the greatest common divisor of m and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -34174\/27 (b) -14 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 2*s - 5*s + (3 + 3 - 4)*(2 - 2 - 2*s) + 7*s - s - 15 + 16 to the form p*s + i and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55860\/29 bigger than 1925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 98. Let d be g(-32). Let z = d + -91. What is the first derivative of z*u - 38 + 7 + 2 wrt u?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10546 divided by -2.\nAnswer: 5273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 5*g**2 - 2*g**2)*(-347*g**2 - 460*g**2 + 945*g**2).\nAnswer: 276*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2749 + -2624.4. Round k to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 2. Let j(k) = -k. Let f(b) = -6*j(b) + u(b). Calculate f(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -18. Let i = k + -29. What is the smallest common multiple of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 11*g + 2. Let s(x) = -20*x - 5. Let y(w) = w**3 + w**2 - 2*w + 6. Let q be y(-3). Let o(p) = q*s(p) - 11*k(p). Suppose -6 = h - 0. What is o(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5964584 divided by -1491146?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6586343, 6586351, 6586365, 6586385, 6586411, 6586443?\n\"Answer: 3*d**2 - d + 6586341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1500 is divided by 306.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.84753 millilitres in litres?\nAnswer: 0.09084753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -13\/2*l**2 - l + 0 - 3\/2*l**3 + 1\/2*l**4 + 1\/20*l**5. List the prime factors of i(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153971 and 19287304?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(10\/(-26)) - (-12)\/(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((2 + -3)*-1). Suppose -m - 5 = -f*m. Let p(c) = -c**3 - 6*c**2 - 4*c + 5. Give p(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 4*b**3 + 49 - 56 + 28*b = 0. What is b?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 192\/45)*10\/(-28)*3. Which is the closest to q? (a) -0.1 (b) -44 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2077166.3 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 6. Let w be x(6). Let o = -3 - w. Let i = 290 - 285. Solve -7 = -i*q + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24067 (base 10) to base 2.\nAnswer: -101111000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 49\/8 - (-5)\/(-40). Is c*6*(6 + -5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427150?\nAnswer: 2, 5, 17, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1295 at most -885\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*k + 17. Let b = k - -15. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10493432?\nAnswer: 2, 463, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19048, -76235, -171554, -305011, -476612, -686363, -934270, -1220339?\n\"Answer: -k**3 - 19060*k**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 35200 to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4)*(9 + -3). Let d be 2538\/(-42) + q\/7. What is the units digit of d\/2*2\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2926 and (-66)\/(-9) - 58\/(-87)?\nAnswer: 11704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1668 divided by 3?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfffffqffff. Give prob of picking 1 s and 1 f.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1062992905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25241 and 1149820.\nAnswer: 674944340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/15)*a*a\/(a\/a**(-1\/6))*a**(3\/7)*a*a**(-1))**(-1\/15) assuming a is positive.\nAnswer: a**(-79\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2607 + -2607.05. Sort o, 64\/5, -3.\nAnswer: -3, o, 64\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*a + 16 + 68 = 0, 3*a - 94 = -5*t. Let v = 5 - 1. Suppose 0 = -2*i - v*d + t, -5*i = 4*d - 32 - 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 1 + 1. What is the second derivative of -3*i - 1 + 2 + 3*i**4 - t wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**(-1)*y**5*y*(y\/(y*y*y\/(((y*y\/y**(-1\/4))\/y)\/y*y*y)*y))\/y*y**4\/y assuming y is positive.\nAnswer: y**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-17)*p)**8*(p*p\/((p*p\/(p\/(p*(p**(-6)\/p)\/p*p*p)))\/p*p))\/p**(9\/13))**(2\/19) assuming p is positive.\nAnswer: p**(-2982\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 2*q + 4*q. Let l(g) be the first derivative of 2*g**3\/3 + 10. Calculate k(l(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183458000 by -341000.\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -270 + 280. Suppose -31 = -i*o - 31. Let 0 - 18\/5*z**3 + o*z - 14\/5*z**4 - 4\/5*z**2 = 0. What is z?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 11*f**2 + 5. Let k be v(-11). Suppose 0*l + k*u = 4*l - 15, 5*l + 4*u - 29 = 0. Let j(c) = -c - 2. What is j(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620946?\nAnswer: 2, 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (44 + -6) - (32 + (-35 - -14))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.27 - -1.17. What is the second biggest value in -1, f, -12, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13\/(-3) - -4)\/((-7)\/(-6)). Which is the nearest to n? (a) -0.6 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6273269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8241*g**2 - 19*g + 376. Let n be c(13). What is n rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 9 - 1. Which is smaller: 9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 3. Suppose 3*i + n = 18. Let h(s) = -s**2 + 4*s + 2. Let y be h(i). Solve -3*d - y*b + b = 12, -3*b + 6 = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -47, -45, -43, -41, -39?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 5*b**4\/24 + 38*b**2 + 10. Let k(h) = 7*h + 3. Let i(w) = 7*w + 2. Let o(j) = -3*i(j) + 2*k(j). Give o(f(q)).\nAnswer: -35*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 92878412*n + 2156599853910436.\nAnswer: (n - 46439206)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 928 - 5*q**2 - q**6 + 6*q**2 - 902 + 28*q**5 wrt q?\nAnswer: -120*q**3 + 1680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-10))\/((-1)\/4). Solve i = 3*j + 3, j = -0*j - t*i - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (388*j + 427 - 427)*((0*j + j + j)*(-3*j**2 - j**2 + 2*j**2) - 2 - 3*j**3 + 2) as u*j + k*j**3 + f*j**2 + t*j**4 + n and give t.\nAnswer: -2716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 520*g**3 + 40*g + 40. Let q(h) = 40*h**3 + 3*h + 3. What is -40*q(k) + 3*s(k)?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (12 + -7)) + (-8602)\/1081\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3 + 53\/3. Let z = i + -7. Suppose -4*l + 0*l = -5*b - 365, 0 = 5*l - 3*b - 453. What is the highest common divisor of z and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 11 = -0*g. Let o = g - 7. Suppose y + 0*y = o*z - 30, 3*y = -z + 14. Solve -z = -2*m - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 9*k**2 - 4*k - 27. Calculate o(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5721.03 minutes to hours.\nAnswer: 95.3505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -25*m + 30*m - 68, 0 = -6*c - 3*m + 84. Solve -37*s + c*s = 100 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176*163\/1304 + 2 + 5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -24. Let y = u - -12. Does 3 divide 15 - (-7 + y)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 103 + 46bb?\nAnswer: 4802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12859388?\nAnswer: 2, 47, 73, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17730 + 33315. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000311622 to seven dps.\nAnswer: 0.0000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 290 divided by 58\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 14*c**3 + 11*c**2 - 11*c + 11. Let n = 8 + -4. Let g(p) be the first derivative of -5*p**4\/4 - 4*p**3\/3 + 2*p**2 - 4*p + 5. What is n*w(k) + 11*g(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/(-477))\/((-5)\/(-75)) + 14\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {k: 3, x: 3, b: 2, r: 1, y: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 27, 18, -9, -60, -141?\n\"Answer: -h**3 + 10*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1676 + 1284 - 4625 + t**2 + 1665.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12223991.\nAnswer: 13, 83, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -0.02, -1\/3, -8, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.8 + 0.8. Let p = -2.5 + 2. Let v(b) = b**3 - 6*b**2 + 5*b + 1. Let f be v(5). What is the closest to f in p, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34, -26, 4, 62, 154, 286, 464, 694?\n\"Answer: w**3 + 5*w**2 - 14*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3226 - -0.08.\nAnswer: 3226.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -25 + 15. Let g be (-6)\/(-2) + (1 - 1). Let c be -2 - (-1 + g + -5). Calculate the greatest common divisor of c and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (20 + 0)) + 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 51. Let m(u) = -213*u + 432*u - 218*u. Give m(q(a)).\nAnswer: 2*a + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 470 + -438. Solve -9*v + v = i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**5\/5 - 1174*y**4\/5 - 4066*y**3\/5 - 348*y**2 = 0.\nAnswer: -290, -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (18 - 7)) + 0 + -3 + 6\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1188567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/108*-12)\/(5\/((-4545)\/(-2))). Solve -70*r + p = 93 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9645 divided by 113072?\nAnswer: -9645\/113072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from llkkllool?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*g = 40, 2*g - g + 30 = 5*s. Let f(i) = i**2 + 6*i + 8. Let l be f(-4). Let z = s - l. Which is the nearest to 2? (a) -0.3 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 - 148 = -69*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 34 - 9*d + 28 - 98.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1185*t + 88880. Let j be w(75). Let 129*a**2 + 111\/4*a**4 + 363\/4*a**3 + 3*a**j + 12 + 75*a = 0. What is a?\nAnswer: -4, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-495)\/70 - 10\/(-40)*28.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 24*h**2 - 6*h + 14. What is the units digit of d(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -196 + 191. Let i(z) = -2*z**3 - 10*z**2 - 6*z - 12. Is i(l) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -j + 29*f - 18*f - 217, -3*j - 103 = -5*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*m + 23 = 0, k - m = 3 + 4. Let j be k\/7 - (-15)\/(-35). Solve 2*a + 2*l + 4 = -j*a, -4*a + l = -7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1056)\/154)\/(4\/(-14)). Calculate the highest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108016 is divided by 908.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001323172 to seven dps.\nAnswer: -0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 69. Calculate the remainder when 50 is divided by k(-20).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44, 185, 420, 749, 1172?\n\"Answer: 47*f**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -4\/5 (c) 7 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 752.9194ml?\nAnswer: 0.7529194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j + 2 - 4*j - 6 - 4*j. Suppose 3*o - 57 = 3. Let b be (o\/8)\/((-2)\/4). Give u(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 7:13 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -528 + 532 - (7 + -2 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + x + 987 = 2*x, 5*v - 1233 = -2*x. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973445.4 weeks to nanoseconds.\nAnswer: 588739777920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhho when four letters picked without replacement from hbhboboohbhhh.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 3719 = -287. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*i**3 + 72*i - 58*i**3 - 113*i**3 - 116*i**3.\nAnswer: -18*i**3 + 72*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 7 - 1 = 3*n, -n - 3*r - 6 = 0. Suppose 2*k - 7*k + 6*k = n. Solve -3*g - 3 = -k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 379 = -5*c, 3*r - 5*c = 267 + 62. List the prime factors of r.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*z + 59*z + 182 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 b, and 1 i when four letters picked without replacement from ibmbibmmimbbiibmiwmi?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 274056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n\/(n\/(n\/((n*n**(-2\/13)\/n)\/n))*n)))\/n*n*n*n*n*n**(1\/5))\/(((n*n**(-2))\/n)\/n)**19 assuming n is positive.\nAnswer: n**(3968\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 156302?\nAnswer: 4\/78151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 400515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-2)\/(-10) - 24\/(-15). Solve o = -0*o + w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 2204?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let k(a) = -a**2 - 9*a + 8. Let h be k(-6). Let c = -53\/2 + h. What is the closest to -0.1 in 2, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26231621 and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -24*p**3 + p**2 - p - 1. Determine k(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297362683.\nAnswer: 67, 229, 19381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*x + 127*x + 121*x - 364*x + 652 + 1628 as t*x + f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07556 - -0.07556. Put u, -0.1, -3.3, -1\/5 in descending order.\nAnswer: u, -0.1, -1\/5, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 3:14 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n**2 - 1408*n - 34413. What is i(149)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38314154.\nAnswer: 2, 109, 175753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -516353*i - 6712600. What is l(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:18 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**3\/6 - 3*t**2 + 10*t. Let b(l) = 2*l + 17. Calculate -8*a(v) - 3*b(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q + 24 = 0. Let f = 10 - -2. What is the highest common factor of q and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**8\/1680 - p**4\/24 + 5*p**3\/6 + 6*p. Let u(x) be the second derivative of z(x). Find the first derivative of u(a) wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 46, 83, 136, 211, 314, 451, 628?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1451507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11180 is divided by 310?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8*i + 14 = -5*i, 0 = y - i + 10. Let o be ((-15)\/6)\/(2*2\/y). Solve -x - o = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31, -34, -35, -34?\n\"Answer: c**2 - 6*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 110 = -4*s. Suppose -4*n - m = 1 + 5, -m = 2*n + 4. What are the prime factors of n\/((-1)\/s*-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/4 (b) -1\/3 (c) -10 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 101, -1195, 32 in ascending order.\nAnswer: -1195, 0, 32, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in -1\/6, -0.2, 1, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4755233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2040)\/2100)\/(1560\/(-6825))\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3818895 times -3?\nAnswer: 11456685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12606380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -389701 less than -389702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 13*c - 28. Let r be x(-15). Let u(b) be the second derivative of 1\/33*b**3 - 1\/66*b**4 - 4*b + 0 + 0*b**r. Factor u(t).\nAnswer: -2*t*(t - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318583, 2548896, 8602573, 20391286, 39826707, 68820508, 109284361, 163129938?\nAnswer: 232268911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 - 1933 + 3*d**3 + 789 - 4*d**3 + 1144.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n. Let f = 76 + 17. Calculate the lowest common multiple of d(-1) and f\/5 + 15\/(-25).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m + m)*(-3*m**3 + 2*m**3 + 0*m**3) - 12*m**4 - 10*m**4 + 26*m**4 + (-6*m**2 + 0*m**2 + 4*m**2)*(-3*m**2 + 2*m**2 - m**2).\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 98*f**3\/5 - 25242*f**2\/5 + 1192752*f\/5 - 15760008\/5 = 0.\nAnswer: 198\/7, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -5*w**4\/24 + 6*w**2. Let z(r) = 3*r**2. Give o(z(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 1, l: 4, y: 2, a: 2, v: 4}. What is prob of picking 1 n and 1 l?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + 2*i**3 - 3*i**2 + 1 - 3*i**2 - 3*i**3 + 4*i. Calculate p(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 832 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74190 by -14838.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -15\/2*a**2 + 0 - 1\/2*a**3 - 304*a. Determine x(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7488) - 2*sqrt(7488))*1)\/(-1*sqrt(16)*-4).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/60 + 3900*w**2. Let j(d) = 97*d + 2. What is j(r(g))?\nAnswer: 97*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - 117. Let k be g\/14*(-1 - -11). Let b = 1 - k. Calculate the remainder when 102 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-190)\/(-380) - 6\/(-4). Suppose -2*k = k - 24. Suppose -3*q + 2 = 3*x + k, q + 14 = -5*x. Solve f*g + q = -3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2773058 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/406?\nAnswer: -3\/406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 462\/4*(3*28\/(-21) + 84) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -58. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -376327 = -376327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and -0.053309.\nAnswer: -0.00746326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.854*5\nAnswer: -9.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i. What is the remainder when k(-11) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9463069 centuries to months.\nAnswer: 1135.56828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -316 - -744. Let v = k + -428. Solve v = 11*c - 5*c - 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 7*k**2 - 11*k + 20. Let a be o(6). Suppose 5*u = 2*z - 23, -z + 44 = -4*u + 25. Sort 5, z, a.\nAnswer: a, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*y = 798. What is the remainder when y is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -30. Suppose 12*f = o*f - 39. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 14*z**2 - 13*z + 4. Let c be o(13). Solve -c*a + 7 = -l - 7, 3*l = 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*s + 80 = 0, s + 4*s + 38 = -3*k. Let m be 183\/k + 4\/(-14). Let w = 21 + m. Calculate the remainder when 35 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**5\/120 - n**4\/8 + n**3\/6 + 2*n. Let s(x) be the second derivative of u(x). Let q be 4\/(14*4\/70). Calculate s(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -2*f - 6. Let r be f\/7*4\/3. Is (-2 + r\/(-3))*24 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 4, -3, -171 in decreasing order.\nAnswer: 5, 4, -3, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 7:45 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23\/3*t**2 - t**3 - 40\/3*t - 16\/3 = 0.\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-11) - 4101\/(-594) and 49\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -31, -84, -163?\n\"Answer: -13*g**2 + 12*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 5*s**7\/42 + 17*s**6\/6 - s**5\/4 - 85*s**4\/12 + 67*s - 36. Let x(q) be the first derivative of m(q). Let x(c) = 0. What is c?\nAnswer: -17, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151741.\nAnswer: 41, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (-13)\/((-2145)\/(-4730))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:43 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 748226 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7 (b) 31 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2282\/2940 - 5\/6?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v**(-2\/21)*v)\/v*v**(-19) assuming v is positive.\nAnswer: v**(-338\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 2147*i + 25718. Determine j(-12).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 5*z - 10 + 11 - 74 = n, n = -3*z - 3 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, -2, 129, 4.\nAnswer: -2, 4, 129, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Suppose -h = -5 - m. Suppose -2*v + 0*x = h*x - 32, 4*v - 3*x = 90. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**5 - 92*p**4*v - p*v - 9*p - 2*v wrt p.\nAnswer: -20*p**3 - 1104*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206\/9 + -23. Let g(m) = -m**3 + 2*m**2. Let j be g(1). Which is bigger: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from sriqriy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 137801?\nAnswer: 96460.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -32797 at least as big as -32801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/30*(6\/40)\/(-1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2 - (-2 - 0)) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0354 times 4?\nAnswer: -0.1416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 29*a**2. Let j(c) be the first derivative of -3*c**2\/2 + 350. Determine s(j(p)).\nAnswer: 261*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 8 - 12. Suppose 4*u = 16, 38 + 42 = x*m - 3*u. Solve -m = 4*l - 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*f + f - 3650, 0 = 3*u - 3*f - 2190. Is u a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -78, 4 in descending order.\nAnswer: 4, 1, 0, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*i. Suppose -5*g + i + 20 = 0. Solve 0 = q - g*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhaahhhahhhh. What is prob of sequence ah?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 17150250?\nAnswer: 17150243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -249*i**2 + 13*i + 445. Let w(m) = 124*m**2 - 6*m - 220. Let q(v) = -6*k(v) - 13*w(v). Differentiate q(d) with respect to d.\nAnswer: -236*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kktk when four letters picked without replacement from txkkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5)\/(s\/(s\/s**19)))**(-50) assuming s is positive.\nAnswer: s**970","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -347727827514 and -1.2.\nAnswer: -347727827515.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 3*l**2 - 9*l + 9. Suppose -77 = 47*o - 312. Calculate x(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.91 * -1\nAnswer: 0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s - 25 = 0. Let f = 1842 - 1846. Let r be -1*(s - 3) - (f + 1). Solve -r = -k - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(19))*2.\nAnswer: -2*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o = -21*o - 23*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3\/3 - 2*m**2 - 3*m + 2. Let d be c(4). Does 16 divide 250\/(-15)*d - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 28*w**2 + 27*w + 36. Let v be z(-27). Solve 3*r + v = -3*g, -3*r + 9 = -2*r - 2*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.52542 + -1.4197. What is n rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7739 and 781.\nAnswer: 85129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 = -162*p + 149*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from qtelx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3)**(2\/7))**(16\/5) assuming m is positive.\nAnswer: m**(96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 9:06 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -9. Let f(o) = o**3 - o**2 + 18. Calculate the remainder when x is divided by f(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + 1157357?\nAnswer: 1157333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -217202*c**3*k*t*w**2 - 3*c**3*k*t + 2*c**2*k*t - 23*c**2*k*w**2 - c*k*w + c*k - 4*k*t*w**2 + 2*k + 6*t*w**2 wrt c?\nAnswer: -1303212*k*t*w**2 - 18*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -250.524 - -250.524. Let f = 0.1 - -0.4. Which is the third smallest value? (a) 0.2 (b) f (c) 0.3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55c7 - -311?\nAnswer: 58d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f + 2. Let b be j(-5). Let c(t) = -t**3 - 5*t**2 + 5*t + 5. Let r(s) = -2*s**3 - 12*s**2 + 12*s + 12. Calculate b*c(i) - 5*r(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 1272?\nAnswer: 13992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*k**3 - k + 0*k**3 + k**3 to j*k**3 + t + m*k**2 + z*k and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + s = -3*s + 577, -5*h = s - 956. Is h a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + 56 - (2 - (5 - ((5 - 90) + 2)))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = 3*r - 364. Solve 5*l - q - 6 = 0, 10*q + 1 = 4*l + r*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 11. Let w = -74 - -78. Factor -w*s**2 - 4*s**3 + 3*s**3 + s**c + 0*s**3 + 4.\nAnswer: -(s - 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -7*w**3\/3 - w + 41. Let l = -14 + 11. Let j(v) = -4*v. Let t(x) = -5*x. Let d(c) = l*j(c) + 2*t(c). Calculate d(s(q)).\nAnswer: -28*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4 + 40*f**3\/3 - 24*f**2 + 32*f\/3 = 0.\nAnswer: 0, 2\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0273 - 279.0273. Let g = 280 + f. Which is the second smallest value? (a) g (b) -2\/9 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (88 + 11)*(-6)\/33*3\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 + -223. Is (-322)\/(-21)*(-12)\/c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/9 and 83\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3256795 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9705112 by 314.\nAnswer: -30908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-1044.\nAnswer: -104.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 26312, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/9)\/2*-2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4*l + d**4 + 12*d**3*l + 3*d**2 - 4*d*l + 6 wrt d?\nAnswer: 48*d*l + 24*d + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**4\/15 - 34*o**3\/15 + 38*o**2\/15 + 34*o\/15 - 14\/5 = 0.\nAnswer: -1, 1, 3\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.023480937 + 104.023504537. Let z = -2.5 + 106.5. Let h = u - z. What is h rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1276020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-16))\/(6\/4). Suppose -4*d = -5*b + 7 + 3, 0 = 3*d + 4*b - 8. Find a, given that t*a - 1\/4*a**2 + d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747c9 (base 15) to base 2.\nAnswer: 1011010001111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4621440108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 0 + 502*y**2 + 8 - 15 - 6*y. Is b(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 35. Let q be (-2)\/(6\/f) - 3. Suppose 31 = q*m - m. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34391 = 3954*y + 512825 for y.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1314*n + 60434. What is g(46)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 570 - 571. Let s(x) = 144*x**3 + x**2 - x. Let m be s(a). Calculate the highest common divisor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39871702 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -5) + (-7 - -8) - 9. Let d = 13 - 24. What is the units digit of -4 - (d + (-2 - t))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3683, -69\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/596772 and 163\/15246.\nAnswer: 4177404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1744 and 61\/24.\nAnswer: 5232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 4. Suppose -23 = -3*z - 5. What is the least common multiple of t and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13536062 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*c + 3 + 8, -c - 4 = 0. Suppose -w = 5*u - 11. Suppose 3*o - 2*o = -u. Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91 by 1.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -135364.\nAnswer: 135369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13333 - -2122?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/(-10)*2\/(-3). Let q be -9*w - (3 + -2). Let o = q - -43. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + t + 1. Let s be v(-2). Let p(z) = -z**3 + 5*z**2 - 2*z - 1. Let k be p(s). Let o = k - 10. What is the least common multiple of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600780 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.166749 rounded to one dp?\nAnswer: 116.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100100101111 - -11?\nAnswer: 11100100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.482841 rounded to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a kilometer in meters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 32 = 2*h, 4*f - 112 = -f + 3*h. Suppose -t + 30 = -3*q - q, 4*q + f = 0. Let z = 73 - t. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 2) + 19 + (74 - ((-1 - -34) + -15))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1\/11 (c) 3 (d) 27.4 (e) -4 (f) 141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -i + 4*n - 21, -4*n + 16 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/577524 and 29\/96254.\nAnswer: 577524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1031 - -1031.000000819. What is y rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, -1\/13, -5\/2 in descending order.\nAnswer: -1\/13, -5\/2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 98 = 350. Find the common denominator of 6\/24 + 220\/o and -31\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x**2 - x**2 - x**2)*(9 + 2 - 3 + (3 + 1 - 3)*(2 + 1 - 2) - 3 + 0 + 2 + 0 + 1 - 3 + 0 + 0 - 2) to the form d + j*x**2 + k*x and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -3 (b) -0.546 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23239 to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.7, -0.2, 3\/7, 2 in decreasing order.\nAnswer: 2, 3\/7, -0.2, -0.7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -95\/3, 0.5, -0.4, -0.5, 20 in descending order.\nAnswer: 20, 3, 0.5, -0.4, -0.5, -95\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 29. What is the units digit of (-94)\/l - 6\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 21390 = -3*h - 0*m, -5*h + 35628 = -m. Suppose 14*p + h - 1707 = 0. Let w = -239 - p. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 + 192*z**2 - 183 - 124*z**2.\nAnswer: 68*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2))\/j)\/j*j*j\/(j*j**13))\/(j**(-4\/7)*j**(2\/9)*j) assuming j is positive.\nAnswer: j**(-734\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1 + 1 + 5*n**2 - 11*n**2. Let d(m) be the third derivative of -3*m**2 + 0*m**4 + 0*m + 1\/60*m**5 + 0 + 0*m**3. What is h(d(p))?\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33387*z**5 - 13511*z?\nAnswer: 667740*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - sqrt(560))\/sqrt(5) - (sqrt(252) + (1 + sqrt(252))**2) - (sqrt(7) + sqrt(7) + (sqrt(84)\/sqrt(3))**2 + (sqrt(252))**2).\nAnswer: -533 - 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3 + 30798*r**2 + 79012260*r - 158147736 = 0. What is r?\nAnswer: -5134, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 16*f - 6. Let o(c) = c - 1. What is n(g) - 4*o(g)?\nAnswer: 12*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roor when four letters picked without replacement from {r: 2, o: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.89 - 10.09. Let o = d + 9. Which is the second biggest value? (a) -1 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**3\/3 + 13*x**2\/2 + 2*x + 1. Let p be v(13). Which is the nearest to -1? (a) p (b) -0.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/88 and 3\/308.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2\/5 + 762*u + 207548\/5 = 0.\nAnswer: -53, 1958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 645\/10)*8\/4. Let o = -123 - a. Sort -9, o, -3, 4 in increasing order.\nAnswer: -9, o, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5007360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 4. Let w(l) = l**2 - 4*l - 5. Let a be w(5). Suppose o + h - 74 = a. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2)*(-6 + 10). Suppose -11 = -y*t + l, 4*t - l = -t + 15. Suppose -19 = t*m - 79. Calculate the greatest common divisor of 120 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29542794 and 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0159 from -2.208861614.\nAnswer: -2.224761614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4450002 (base 7) in base 4?\nAnswer: 2012033013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1545*y - 1775 = -1550*y. Let x = 373 - y. Suppose 3*d - 50 - 88 = 0. What is the remainder when d is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -45\/4*c**3 + 63\/2*c**2 + 120*c - 288 + 3\/4*c**4 = 0.\nAnswer: -3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 886210204 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffwwwfff. What is prob of sequence wfff?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 145575237 a multiple of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1221*u**2 - 526*u**2 - 517*u**2 - 2 as r + z*u**2 + n*u and give z.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -40*v - 3201. Let s be w(-81). Solve 17*d = -63 - s for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4*-3866.\nAnswer: 5412.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 942?\nAnswer: 23550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3854, -7707, -11560?\nAnswer: -15413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/7 - 2613290*x\/7 - 1707321156025\/7 = 0. What is x?\nAnswer: -1306645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 153*u**2 - 227*u + 1464. Let b be x(6). Which is smaller: b or 5608?\nAnswer: 5608","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.1, 0.01, 0.1, -30, 592?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w**2 - 19104628 + 19104628.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u + 2. Let f(w) = w. Let v(l) = -l**2 + 28*l - 193. Let n be v(13). Suppose -4*r = -p - 17, n*r = -2*p + 5*r - 14. What is p*a(x) - 6*f(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72864603 - 5?\nAnswer: 72864587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 245*k**4\/12 + 3*k**2 - 115*k. Let p(b) = b**2. What is f(p(o))?\nAnswer: 490*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352298, 704598, 1056896, 1409192, 1761486, 2113778, 2466068?\nAnswer: 2818356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - u. Let s be l(-2). Let c = s - 7. Let h = c - -7. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/4 and -41\/24960.\nAnswer: 24960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 82, 4, 3, 18, -6 in ascending order.\nAnswer: -6, 2, 3, 4, 18, 82","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-8) - (-6)\/9. What is the nearest to -1 in 20, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-594)\/(-55)) + 43\/(-15)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 2*t + 2. Let o(w) = -w + 5. Let l be o(4). Let v be 2 - ((-3)\/l + 8). Determine j(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2108 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 2, r: 3, d: 4, z: 2, f: 1}. Give prob of sequence ryrd.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20a701 (base 11) in base 15?\nAnswer: -69975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/293520 and -93\/244600.\nAnswer: 1467600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcww when four letters picked without replacement from {w: 2, t: 11, c: 2}?\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 640*n**2 + 899981*n\/3 + 894230.\nAnswer: (n + 3)*(n + 802)*(n + 1115)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -192473?\nAnswer: -192473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Let s(j) = -j**3 + 4*j**2 - 2*j. Let y be s(r). Suppose 0 = w - 3*t + 3, w - t + 2 = y. Calculate the greatest common divisor of w and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.98? (a) 0 (b) -3 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 11 + 45. Let k(l) = -14*l. Let o(b) be the first derivative of -9*b**2\/2 + 2. Suppose 1 = -2*t - 9. Calculate d*o(s) + t*k(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31696*n - 15862*n - 15834*n - 2*n**3 - 2*n**3 + 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2*g - 4. Let j be x(5). Suppose -15 = j*i - 10*i. Let o = i + 10. Put 0, 3, o in descending order.\nAnswer: 3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196860571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 147*t - 146*t - 4*s - 22, 232 = -2*t - 38*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34224 and 561936.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m - 14. Suppose -a = 5*w + a - 13, -2*a + m = 3*w. Suppose -k = w*k - 96. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -17*k + 2*k + 3*k + 10*k. Let o(u) = -3020*u**2. Give m(o(b)).\nAnswer: 6040*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3363 by 7.\nAnswer: 3363\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 25*m. Let c(s) = -s**2 - 2*s**2 + s**2 - 5*s - 2*s**2. Let a(o) = -o**2 - o. Let z(p) = 10*a(p) - 2*c(p). What is n(z(b))?\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2541*l**5\/5 - 198*l**4\/5 - 36*l**3 + 24*l**2\/5 = 0.\nAnswer: -2\/7, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722 is divided by 79.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503 + 503 = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.855 + 8.168. Let g = m - 9. What is g rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 126 = -5*g, 6 = -4*g + 5*g - 5*a. Suppose -h = -0*h - 104. What is the highest common divisor of g and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 13 + 2 = 0. Suppose 0 = -w*c + 8 - 2. Differentiate l + 0 - 4*l - c wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*f - 95 = -106, 17 = -5*x + 4*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.329 + 0.264. Let a = w - -0.86. Let r = a + -0.514. What is r rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 44*t**2 - 44*t + 10. Determine u(43).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1725\/(-100)*76\/57\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**2\/3 - 3339952*w = 0?\nAnswer: -2504964, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -fb63 (base 16) in base 11?\nAnswer: -44395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Let f(d) = -d**3 + 2*d**h + 5*d - 2*d + 4 + 3*d**2 + 3*d. Let i be f(6). Solve -5*q = 2*s - 5*s + 31, -i*s + 13 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbg when three letters picked without replacement from lbgnbbgglwwb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 2*b - 4. Let m(d) = -626*d**2 + 4*d - 105. Let h(s) = 2*g(s) + m(s). Differentiate h(w) wrt w.\nAnswer: -1260*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -84 + (1620 - 1616)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143401\/577731 - -18\/2501. Calculate the common denominator of -79\/70 and r.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136129*f - 473088 = 136105*f. List the prime factors of f.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/298 and -101\/2.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661.7722l to millilitres.\nAnswer: 661772.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -19 + 2 - -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -40, -93, -178, -301, -468, -685, -958?\n\"Answer: -m**3 - 7*m**2 + m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2210573073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.65 - -0.15. Let j = 0 - 2. Let i = w + j. Which is the nearest to -1\/2? (a) 2\/11 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2.1 (b) -4\/35 (c) 26 (d) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + -1*sqrt(200) + sqrt(200).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2438 + 2364. Is c at least as big as -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5152 and 71023264.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:09 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -0.03, 8435.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - s = -80 + 67, -41 = -5*a - 14*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, -19, -43, -69?\n\"Answer: -c**2 - 19*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.448824mm?\nAnswer: 0.000007448824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 421 + -411. Which is the nearest to 0? (a) -3 (b) 0.2 (c) -2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2389275 divided by 9225\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1442.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lip when three letters picked without replacement from {w: 1, i: 2, l: 1, p: 1, j: 2, g: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000985692 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -124*x. Let n(a) be the second derivative of -a**3\/2 - 15*a + 32. Determine c(n(k)).\nAnswer: 372*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.08, 3, 0.1, -8 in decreasing order.\nAnswer: 3, 0.1, 0.08, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/60 + (-160)\/75 - -4. Let m be (c + 78\/(-15))*(-2 - -1). Let v = -4 - -8. Which is bigger: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -8, -13, -20?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4972a9 (base 12) to base 5.\nAnswer: 301210330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 14*w**2 + 12*w + 19. Let f be h(13). Suppose -12 = -3*n - f. Solve 2*v + 5 = -j - n, 2*v + 3*j + 9 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 1, q: 2, k: 2}. Give prob of picking 1 y and 2 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8703, -9181, -9659, -10137, -10615, -11093?\nAnswer: -11571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 28 = 11*n. Let r(t) = -2*t**3 - 2*t**3 + 2*t - 202*t**2 - n + 202*t**2. Let j(x) = -3*x**3 + x - 5. Calculate -7*j(s) + 5*r(s).\nAnswer: s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2185 + 2479. Calculate the highest common divisor of v and 2793.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -145, 0.9, 2, -2.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267356899*h*s**4 + 69562*h + 241*s + 1 wrt s?\nAnswer: -3208282788*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 7*p - 3*p - 4*p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4 - 16 = 0. Suppose -3*c = -o, -u - 26 = -2*u - 3*c. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 24 - 16. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u + 113. Let z be p(8). What is the highest common factor of z and 726?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78218911*k**3 - 34672*k - 1002 wrt k?\nAnswer: 469313466*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 + (6 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(3)*-3 - (sqrt(144)\/sqrt(3) - (2*sqrt(3) + 1)))**2.\nAnswer: -40*sqrt(3) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17152105 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: Suppose -33 = -5*k + 32. What are the prime factors of -5*(2\/k - 13811\/455)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r - 211*v = -209*v - 220, 0 = 5*r + 4*v + 15 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 221201020002 (base 3) in base 15?\nAnswer: 9ee45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -928*w**2. Let m(v) be the second derivative of -5*v**3\/6 + 7095*v. Give y(m(l)).\nAnswer: -23200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -5*k**7\/21 + k**4\/2 - 5*k**3\/2 - k**2 + 39*k. What is the second derivative of i(t) wrt t?\nAnswer: -200*t**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 492 and 108?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1411.00001254 - 1411. Round w to 7 dps.\nAnswer: 0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, -11, -56, -155, -326, -587, -956?\n\"Answer: -3*y**3 + 12*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 91.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 566*b**6 + 777*b**2?\nAnswer: 67920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = -148. What is the tens digit of -1 - (-1)\/((-1)\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2) - (-1 + sqrt(2) + -2)**2).\nAnswer: -7 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 380*g**3 - 4*g**2 + 41*g - 19364247?\nAnswer: 1140*g**2 - 8*g + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3180309, -12721220, -28622739, -50884866, -79507601?\n\"Answer: -3180304*q**2 + q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 634*d - 199. What is the units digit of r(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7\/2*f**3 + f + 0 - 9\/2*f**2 = 0. What is f?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -8. Sort -2, -4, 5, r.\nAnswer: -4, -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2. Let g be j(1). Suppose 2*i - i = g. Calculate the smallest common multiple of i and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 3*w + 2. Let f be b(3). Suppose f*o = -3*o. Suppose 4*h = 2*h + 10, o = 3*c + 2*h - 70. Calculate the highest common divisor of 50 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f + 56. Give b(9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-1)\/sqrt(4))\/(sqrt(16)\/sqrt(2)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 12*o - 7. Let s be 43\/(-4) + 3\/(-12). Let k be r(s). Suppose -8 - 14 = -2*m - 3*a, a = 5*m - 38. Solve 2*v = -m, v = 4*y - k*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/5, -1, -8.5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-110 - 2)*1\/(-1). What is the highest common divisor of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 306 and 2822.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*p - 140. Let l = -63 - p. Let g = -25 - l. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*y = -227 + 269 + 984 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-35))\/(322\/(-84) + 4)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13713, 27408, 41089, 54756, 68409, 82048, 95673?\n\"Answer: -7*f**2 + 13716*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2765669209 a multiple of 10567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 9, f: 2, t: 2}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6172900 by -6.\nAnswer: -3086450\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*q**2 - 201 + 604\/3*q.\nAnswer: -(q - 603)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -741560*n**3 + 533910*n**2.\nAnswer: -4449360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2 - 2)*(1375 - 234 + 112)*(5 - 5 + 1).\nAnswer: -2506*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9231 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10 = 3*k - 3*d, -5*d - 2 = -2*k. Let h(x) = 29*x - 6 - 3 + 59*x - 5. Let g(n) = 31*n - 5. Let l(j) = -17*g(j) + 6*h(j). Give l(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6) - (-14)\/4. Suppose -4*n = v - 11. Is n + 28 + (3 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1114 - -1073) + (2 - -36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l - 12*l + 10*l. Is j(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -227281827 and -433523.\nAnswer: -227715350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = -71*k + 1248 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 632?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**3 - w**2 - 2*w - 2. Let r be 207\/4 + 2\/8. Suppose 0*t = -4*t + r. What is the remainder when m(-2) is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*q + 180, -4*q = -6*g + 9*g - 116. Calculate the greatest common divisor of g and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2718b44c - 2?\nAnswer: -2718b451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2189 - -20377?\nAnswer: 22555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -227*w**3\/6 + 15*w**2 + 96*w. What is the derivative of f(m) wrt m?\nAnswer: -227","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73658?\nAnswer: 2, 13, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25271\/6 - -4202. Let j = 5482 - 87769\/16. Find the common denominator of j and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 392 and 142?\nAnswer: 55664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173*v**6 - 271*v**2?\nAnswer: -20760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:21 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94380 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -652323 = 4*x - 5*x + 5*b, 652323 = x + b. Let a = x + -1242323. Round a to the nearest 10000.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-396)\/(-66)*((-470)\/100)\/(-3*1\/5).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -3)*2 + 2. Suppose 0 = 3*n - d*n - 6. Let r(s) = 0*s**2 - 3*s**n + 4*s**2. Let p(t) = -4*t. What is r(p(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 837*q**2 - 1666*q**2 + 809*q**2.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -368311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15623958 - 29510568. Let r = 13886557.0000027 + f. Let p = r - -53. Round p to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 1. Let i = -1550\/7 + 221. Which is the biggest value? (a) x (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 12*v - 3. What is the least common multiple of j(-7) and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -1383.3?\nAnswer: -5533.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2156.952 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631261.2 years to months.\nAnswer: 7575134.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00673467201 to four dps.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -803\/4, -203.9, -0.05, 1 in decreasing order.\nAnswer: 1, -0.05, -803\/4, -203.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -34261777 divided by -1\nAnswer: 34261777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*j + 57*j - 20*j to r + a*j and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/25 (b) 2 (c) 2\/7 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*b + 7*b - 16, -2*b = 5*s - 28. Suppose b = -c + 11. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/717648097 or -1?\nAnswer: -2\/717648097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2419, 4804, 7093, 9286, 11383, 13384?\nAnswer: 15289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-17)\/2)\/(3\/(-6)). Let w = -3 + q. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by -18*((-18)\/4 + 3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 3112?\nAnswer: -3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 3\/20*b**5 + 0*b**2 + 0*b**4 + 3*b + 0 + 1\/3*b**3. Find the second derivative of v(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-91) - 6\/(-21). Let y = -0.69 + 0.89. Which is the second biggest value? (a) r (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from rspsrrparaprsrr?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0*w**3 + 0*w**2 + 1\/12*w**4 + 17*w + 0. Let o(l) = 7*l**2. Give k(o(t)).\nAnswer: 49*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277431.6mg to micrograms.\nAnswer: 277431600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/560*28\/4)\/2)\/(23\/(-8))\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/(10\/(-45)). Solve 6\/7*c**2 + 32\/7*c**q - 2*c**4 + 8\/7 - 32\/7*c = 0.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4324 + 4318. Let n(o) = -o**3 - 7*o**2 + 2*o + 11. Give n(k).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 17*k - 5. Calculate the remainder when 46 is divided by f(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5594*h**3 + 5517*h**3 - 11110*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 + 185\/15 + -1. Suppose -5*n = -j*n + 28. Calculate the lowest common multiple of n and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 57 = 3*v, -7 = -t - 2*v + 3. Solve 10*j - 12 = t*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*r + 123*r + 235*r = -13680 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.27897 + 25096649.\nAnswer: 25096648.72103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -1)*2*5.\nAnswer: -10 + 110*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + y. Let z be n(1). Suppose 2*c = z*a + 7*c + 20, -5*a - 16 = 4*c. Suppose 7*w = -4*g + 4*w + 24, -2*g + 4*w + 12 = 0. Solve 3*f = -a + g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/4)\/(-1))\/(9\/((-1440)\/(-100))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -314, -421, -524, -623, -718?\n\"Answer: 2*i**2 - 113*i - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.201 rounded to one dp?\nAnswer: 101.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*l + 399 + 1046*l - 261*l - 268*l - 263*l.\nAnswer: -4*l + 399","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, -312, -2 in decreasing order.\nAnswer: -2, -171, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3))*-2 - ((0 + sqrt(27))**2 + sqrt(3)).\nAnswer: -27 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.177842 to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 + 3 + 0*n**2 - 5 + 3*n)*(144*n - 330*n - 289*n) as h*n**2 + b*n + f*n**3 + r and give f.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(448)) + (-5 + 2*sqrt(7)*-1)**2.\nAnswer: -12*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 3. Let u be b(-5). Suppose -90 = -10*o + 2*o + 70. Sort o, -4, 3, u in increasing order.\nAnswer: -4, u, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -149\/2*a - 1\/4*a**2 - 22201\/4.\nAnswer: -(a + 149)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-68)*((-1615)\/130)\/19\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34132575 and 2968050?\nAnswer: 68265150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 13*a + 24. Suppose 27*d - 42 = -231. What is the remainder when 587 is divided by b(d)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = i - 18, -j - 44685*i = -44686*i - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2656 + 4367. Does 60 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*u**2 - 780*u**3 + 1 + 1585*u**3 - 796*u**3)*(-3*u + 5*u - u) in the form v*u**4 + h*u + k*u**3 + l + t*u**2 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 23.77. Let q = d + 4.77. Put 1, -0.3, q in decreasing order.\nAnswer: q, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 4:34 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5))**4*(d**(-4))**(-15\/4) assuming d is positive.\nAnswer: d**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-3)*1\/(-3). Let s be ((-11)\/(-2))\/((-2)\/(16\/14)). What is the third biggest value in -0.1, s, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 6*t**2 - 3*t - 8. Let r be f(6). Let g = r + 28. Let n = 0.3 + -0.7. Put -2\/7, n, g in descending order.\nAnswer: g, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -18 + f**3 - 10 + 51*f - 25*f**2 + 16. Is 10 a factor of m(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 26*b**2 + b - 2. What are the prime factors of h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85712094 is divided by 1067.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 330 + 1?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 5*c**2 + 3. Let v be l(5). Let a = v + -1. Suppose 0 = -a*g + 1 + 3. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:03 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3)*k)\/k**(-3\/11))\/((k\/k**(-2\/29))\/((((k\/((k\/((k*k\/k**(-8\/3)*k)\/k))\/k)*k)\/k)\/k)\/k)) assuming k is positive.\nAnswer: k**(1790\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 9*t**2 + 8*t + 5. Let k(j) = -j**3 - 16*j**2 + 378*j + 21. Let o be k(-29). Determine b(o).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 29*h + 10. Let s(a) = 30*a + 11. Let v(t) = 2*c(t) - 3*s(t). Find the first derivative of v(w) wrt w.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1943968 and 2405?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from ozowywooszowooooooo.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/14)\/(4\/(784\/42))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:23 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*o + 401*o = -1073*o - 57332 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 561.1 - 587. Let f = y - -11.2. What is f rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42101.8397682 - -22.3102468. Let w = -42124 + b. Let f = w + -0.15. Round f to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -48*y + 276. What is t(12)?\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -9.9354271?\nAnswer: 29.8062813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.3. Let y = -0.1 - 0. Let a be 1*-1 + (-36)\/(-33). What is the third biggest value in a, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67bb (base 14) to base 13.\nAnswer: -8269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391726.\nAnswer: 2, 195863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 56 = 11. Suppose 125 = v*d - 10. Calculate the smallest common multiple of 17\/(-119) - (-128)\/14 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156600.\nAnswer: 2, 5, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3633373963 + 3633373963 - 3*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-27)\/(-2))*(-69)\/(-138).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Let o(v) be the first derivative of v**3\/3 - v + 1. Let z(a) = a - 4. Let g be z(9). Let i(t) = 3*t**2 - 3. What is g*o(w) + m*i(w)?\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 49 * -0.06686\nAnswer: -3.27614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/3)\/((-4)\/(-18)). Let w(c) = -c**2. Let i(s) = 8*s**3 + 3*s**2 - 2*s. Let a(g) = r*w(g) - 2*i(g). What is the second derivative of a(f) wrt f?\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 708?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -80432.4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a8 + 7?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61110547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 311*r**4 - 1011*r.\nAnswer: 3732*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105999 is divided by 2524.\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l. Let n(y) = -y + y - 6*y + y + 2 + 10. Calculate n(m(h)).\nAnswer: 15*h + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -411\/2 (b) 0.5 (c) 0.04 (d) -5 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1702 * 0.03\nAnswer: 51.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 61960.\nAnswer: 61964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -24*n - 14. List the prime factors of j(-5).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 217 + -217. Suppose u = -2*q + b - 8, 0*q + q + 5*b + 4 = 0. Let i(x) = 2*x**2 + 5*x + 2. Determine i(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 12:19 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5\/4 - 63*i**4\/4 - 2535*i**3\/4 - 4725*i**2\/4 + 633*i + 1197 = 0. Calculate i.\nAnswer: -19, -2, -1, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 15, s + 11 = 3*m - 7. Let d(y) = -m*y**2 + y**2 + y**2 - 2*y. Let f(j) = -4*j**2 - 3*j. Give 6*d(x) - 4*f(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 1)*(-19 + 498*w + 34 - 15).\nAnswer: 1494*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*j**2 + 9*j**2 - 3*j**2)*(-6931*j + 6931*j - 125*j**2).\nAnswer: -2125*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.1 (b) 42 (c) 4\/9 (d) 2\/3 (e) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*(-62)\/(-3). Suppose -c + 13 = -2*a. What is the greatest common factor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**2 - 40*v + 7. Let g be j(0). Let d = -201\/5 - g. What is the nearest to 1 in -5, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 64*x.\nAnswer: -4*x*(x - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1226 - 2487 = 2*x + 5*n - 1165, -5*x - 33 = n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -61*g - 68. Let t(b) = -20*b - 23. Let y(p) = -6*d(p) + 17*t(p). What is the hundreds digit of y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34678584.0000007 - 34678580. Let l = 4 - y. What is l rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w = 22*w + 3*j + 3, -19 = 5*w + 3*j. Let k(t) be the first derivative of t**4\/4 + 4*t**3\/3 + 3*t**2\/2 + t + 21. Determine k(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 15. Let m = -15 + 19. Suppose m = -h + 8. Solve 5 = 2*l + 3*g, l + 0*l - h = -j*g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 344251 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061 <= 4060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*h)**(12\/7) assuming h is positive.\nAnswer: h**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-4 + 16)) + 6 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4565482 and 2.\nAnswer: 4565482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by 3\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Suppose b = a - 1. Solve 2*y = y + a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22271184 divided by 8.\nAnswer: 2783898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**4 + 2*x**4 - 135 + 4*x - 4*x**4 - x**2 + 136 - x**3 to d*x**4 + o*x + g + h*x**3 + t*x**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 5*o - 1. Let a = -317 + 329. Calculate the remainder when a is divided by f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 57*t + 24. Let x(k) = -7*k - 3. Suppose 6*h = 2*h + 5*u - 147, 5*u = 15. Let p(l) = h*x(l) - 4*f(l). Give p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -36390?\nAnswer: -1455.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -2*m + 4. Let o(f) = 5*f - 1. Let a be o(m). Let n be (a\/(-12))\/((-2)\/(-16)). Solve -2*v - n = -4*k, -1 + 2 = k - 2*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 1:05 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -102. Let l = -16 - a. Let r = l + 62. Solve -5*v + r = -4*o - 15, -o = -3*v + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568681?\nAnswer: 277, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(2 + 6))\/(-2) + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*x - 28 = 0, -a + 3*x - 6 = 2. Solve a*l = -2*z - 18, -1 + 21 = -3*l + 5*z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + 2 + -4 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u - 29*u - 17*u + 860 = 3*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/15*3 + (-16)\/(-10). Let w(g) be the first derivative of 0*g**v + 1\/4*g**4 - 2*g**3 + 4*g - 8. What is w(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 - 4*i**2 - 10*i. Let f(b) be the first derivative of -b**4\/4 - b**3\/3 + b**2\/2 - 1166. What is 4*f(w) - h(w)?\nAnswer: -w**3 + 14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4601 and -0.325?\nAnswer: 1495.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85506 + 130906. Round i to the nearest one thousand.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 15. Let l = -5 + a. Suppose 2*z = 4*z, l*h + 3*z = 48. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 44 = 3*r, h - 5*r - 14 = 6. Let k = 258 + h. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8514 + -5564. Suppose -30*c + 20*c = -t. What are the prime factors of c?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1203*v + 12. Let t(p) = 9627*p + 99. Let g(r) = -33*l(r) + 4*t(r). Let k(m) = -m**2. Give g(k(n)).\nAnswer: 1191*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c**2 - c + 7. Let x be k(2). Suppose -37*n = -x*n - 312. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-16 + (0 - 17))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6039, 23072, 51089, 90090, 140075, 201044?\n\"Answer: 5492*d**2 + 557*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 - i + 4. Let f(t) = 9*t**2 - t + 9. Give -2*f(b) + 5*x(b).\nAnswer: 2*b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-10) - 2\/(-10). Let g(l) = l**3 + 4*l**2 + 2*l. What is the lowest common multiple of 22 and g(f)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -83, -102, -151, -242, -387?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3271 - -29399\/9. Find the common denominator of -16\/505 and x.\nAnswer: 4545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 11:56 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/2898 and -33\/368?\nAnswer: 23184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -4 (c) -2\/15 (d) 4\/5 (e) 5.7 (f) 4 (g) 38.72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 37, 100, 199, 340, 529, 772?\n\"Answer: v**3 + 9*v**2 - v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3 - 1. What is the second derivative of 9*z + 8 + w - 9 + 16*z**2 wrt z?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 12*x + 3. Let p(v) = v**3 + 22*v**2 + 22*v + 33. Let u be p(-21). Let q be n(u). Find y such that -1\/4*y**q + 1\/2*y + 0 + 1\/4*y**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 6.4. What is z rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-266)\/(-56)*4 + ((-2310)\/609 - 15)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, j: 1, b: 2, x: 2, y: 4}. Give prob of sequence ybj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 7*w**5\/30 - 2*w**3\/3 - 218*w**2. Let m(o) be the first derivative of -2*o**3\/3 + 108. Determine m(r(j)).\nAnswer: -392*j**4 + 224*j**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9 = -s + 2*b, -6 = 2*s - 2*b. Suppose s = 3*u + 284 - 1289. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2107\/2 and -1054 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 18 = -3*b + 7*b, -11 = -2*b - 3*w. Suppose b*u - 2*l - 20 = 0, -5*l + 5 = -u + 1. Let q be -1 + 2\/(u\/3). Solve q*r + 12 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) 7\/36 (b) 2\/5 (c) -0.1 (d) -2 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 9 = 17. Suppose p = -p + 5*o + 13, 0 = -t*p + o + 35. Let i be -12 + p + 7 + (1 - 1). Solve -2*u - 6 - i = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1239*d + 44 = -1235*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1416, -2, -1245, 4 in ascending order.\nAnswer: -1245, -2, 4, 1416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 2)*(0 + 3 - 5)*(-4266*n - 33469 - 802*n + 33469) in the form m + o*n and give o.\nAnswer: 20272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**3 - 7*o**3 - 17*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 155. Suppose -9 - 13 = -2*z. Calculate the greatest common factor of z and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(39)\/sqrt(3)*-4.\nAnswer: -4*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 = 14*l + 12*l - 563. Solve 0 = -l*f + 33*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4927823 is divided by 554.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 5. Calculate the greatest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19313, -37822, -56329, -74834?\n\"Answer: j**2 - 18512*j - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 4)*(-5 + 4 + 2)*(-2 + 0 - 2)*(0*t - 3*t + 2*t) + 2*t + 2*t - 6*t.\nAnswer: -26*t","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**3 - 25*i**2 + 6*i + 4. Let a be v(6). Let u(l) = 9 + 3*l**2 + 2*l - 13 - l + a. Let d(m) = -2*m**2. Give u(d(r)).\nAnswer: 12*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -526592 divided by -136.\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2856 and 2040?\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**2 - 307680*j - 5916686400 = 0 for j.\nAnswer: -38460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 214864 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.988607 millilitres to litres.\nAnswer: 0.000988607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxdrxxrbxxr. What is prob of sequence xx?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476887?\nAnswer: 476887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 2*b - b**2)*(-8114*b + 8114*b + 45*b**2) + (40*b - 40*b - 3*b**2)*(b**2 - 2*b**2 - 4*b**2) as y*b + l*b**2 + r + j*b**3 + x*b**4 and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 0*b + b**2 + 2 - 3*b - 10. Let y be 1355\/69105 + 610\/102. Calculate h(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104755 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 55\/4 of a day?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/5)*q**6)\/((q\/q**(1\/4))\/q)**23*(q\/q**(-1\/2))\/(q*q\/(q*q**(-2)))*q**(2\/3)*q\/(q\/q**(2\/7)) assuming q is positive.\nAnswer: q**(5041\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q + 11 = -2*u, -21 = 4*u - 5*q. Let a = -11340.4 - -11340. Let m be (-6)\/9*3\/7. Put a, m, u, -1\/7 in decreasing order.\nAnswer: -1\/7, m, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**2 - 139*t**4 + 11059*t - 2*t**3 - 11060*t - 23 + 7*t**2 in the form n*t + z*t**2 + q*t**4 + r*t**3 + w and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z - 7*z - 64 + 2*z. What are the prime factors of q(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:27 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 228 = -4*h. Suppose -h = -3*y - 2*q, -71 = -4*y - 3*q + 6. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(-3*b**3 - 3*b**3 + b**3) + 3*b**3 + b**3 - 3*b**3.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqhqqh. What is prob of picking 2 q?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*q + 46 = 3*c, -5*q - 20 = -4*c. Let z(t) = -2*t + 22. Calculate the lowest common multiple of c and z(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16591740 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 27*b**2 + 155*b - 447. Calculate q(21).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 10 = 14. Calculate the greatest common factor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.87 + -3\nAnswer: -4.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13750288 a multiple of 792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95999874.\nAnswer: 2, 3, 1511, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6)*-9*(-7)\/(-3). Let n(j) = -9*j**3 + 2 - 3*j**2 + g*j**3 + 3*j**3. What is n(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l - 40 = -4*u, 4*l - 5*u = 132. Let d = l + -63. What is the units digit of (3 - 3)\/(-4) - d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.839 + 0.161. What is the nearest to 0.1 in -9, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -504d (base 14) to base 8\nAnswer: -32735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3081044um to nanometers.\nAnswer: 308.1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -0.2, -0.5, 120, -4, 39 in decreasing order.\nAnswer: 120, 39, 5, -0.2, -0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5268 + 233?\nAnswer: 5512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -851 - -854. What is the least common multiple of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174.2 + -173. Let t = 0.02 - -6.18. Let m = v - t. Is m bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1816 greater than -1817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1845810 to the nearest 10000.\nAnswer: 1850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9237269\/19 + 486035. Is -136 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p. Suppose 0 = -4*o + 16 + 8. Let g(u) = 4 + 1 - 5 - o*u**2. What is s(g(a))?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:04 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1285 + 1313. Let z = 115 + -73. What is the greatest common divisor of z and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.5 + -1.5. Which is the second biggest value? (a) o (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 26.16488 minutes?\nAnswer: 1569892800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 271 = -4*i, 2*i + 0*u = u + 133. What is the second derivative of -121*c**2 - 4*c + 86*c**2 - i*c**2 + 3 wrt c?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-480)\/16 + 7 + 32. Solve -2*l - 2 = -5*y + c, -5*y = -4*l - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*v = 209*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.46974 millilitres?\nAnswer: 0.00046974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 1. Let x(i) = 2*i + 1. Let q be -3*((-10)\/6)\/5. Let m(f) = q*x(f) - 5*p(f). Let s(z) = 4*z + 5. Give -3*m(g) - 2*s(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 50*x + 908. What is the remainder when 1256 is divided by c(-15)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 + 706 = 37*q - 200 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*y + 2*n + 2, -4*y = 5*n + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -1000010001111?\nAnswer: -1000010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 100220301321?\nAnswer: 100220301320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 - 3*u - 3. Let n(g) = -g - 1. Let t(i) = h(i) - 3*n(i). Let x(d) be the second derivative of -d**4\/12 + 7*d. Give t(x(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -408*y**6 + 831*y**2 - 2 wrt y?\nAnswer: -48960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -19411 divided by -59\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -3\/26 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*m - 108*m + 67*m + 44*m - 231*m - 159*m.\nAnswer: -444*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 - -2a?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 2. Let l(o) = 12*o**4 - 10*o**2 + 14*o - 23. Let r(a) = -5*k(a) - l(a). Find the first derivative of r(t) wrt t.\nAnswer: -48*t**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = b + 2*m, -m - 2 = b + 1. Let y = 2 - b. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/(-18)*(-1944)\/864.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 1, i: 5, p: 3, h: 3}. Give prob of sequence pyi.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let o(s) = -429*s. Calculate o(q(t)).\nAnswer: 429*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 14 = -30 - 51. Let f(z) = z**2 - 5*z + 6. Let t be f(4). Suppose 2*i - 13 = -1. Solve -4*b - r = h, 4*h + i*b = t*b + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 + 88. Suppose -9 - 6 = -o*k. Let s(w) = -28 + 59 + 5*w - 31. Let a(p) = 5*p. Give k*a(h) - 4*s(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -10, -4, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 797*w + 80 - 9*w**3 - 2*w**2 + 8*w**3 + 90 - 169 as v*w**3 + k*w + m + g*w**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqgn when four letters picked without replacement from nmummngqngm.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 b when four letters picked without replacement from lbblalbblaoaalalalbb?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2*x - 2. Let t(q) = -20*q**2 + 36*q + 36. Let y(u) = -2*t(u) - 36*z(u). Let r(k) = -25*k + 137. Determine y(r(o)).\nAnswer: 2500*o**2 - 27400*o + 75076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4002094010?\nAnswer: 2, 5, 400209401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**5\/13 + 6*x**4\/13 - 204*x**3\/13 - 1552*x**2\/13 - 3648*x\/13 - 2304\/13 = 0.\nAnswer: -6, -4, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87028166.\nAnswer: 2, 43514083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -67 + 15 + (9 - 15) + (13 - 7 - 9)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 194*c + 1943. What is the remainder when 11424 is divided by j(-9)?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/60 + r**5\/6 + r**4\/3 + 53*r**2. Determine f, given that k(f) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3995 + 258962296?\nAnswer: 258966291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 + 0.4. Let y = 0.175 - -0.025. What is the third smallest value in y, -0.02, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45682.3 + -45320. Which is bigger: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*k + 46 = -3*m, -1 = -k. What is the second derivative of -6*i**2 - 9*i - 17*i + m*i wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -19*v**4\/6 + 27*v**2\/2 - 19*v + 37. Let w(k) be the first derivative of p(k). What is the first derivative of w(i) wrt i?\nAnswer: -76*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17278\/483 or -35?\nAnswer: -17278\/483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3911 is divided by 3897?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 greater than -279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 716*m - 369. Is y(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d**3 - 6*d**2 - 8*d + 1. Let w(o) = o**3 + o**2 + o. Suppose x + 0*x = -7, 0 = -5*p - x - 2. Calculate p*l(f) + 6*w(f).\nAnswer: -3*f**3 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + 63 - (1 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2572 (base 8) to base 9.\nAnswer: -1827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (280\/(-96))\/(2 - (-39)\/(-24)) and 6\/9 + (-4)\/(12192\/892).\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 2*i - 14. Let a be r(4). Let c(q) = a*q - 7*q - q. Let k(u) = -6*u**2 + 2. Let b(g) = -13*g**2 + 5. Let d(o) = 2*b(o) - 5*k(o). Give c(d(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 - 71. Let s = -20 + 24. Suppose 20 = -5*y + s*z - 7*z, -3*z = 3*y + 12. Which is greater: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 - 152. Suppose 0 = j + 5*f + 8, 0 = -2*j - f + 32 - 3. Calculate the remainder when y is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35974 or 3523?\nAnswer: 3523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 - 3*y - 3. Give b(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a factor of 507806884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*s + 4, -2*s - 5 = 4*l + 1. Suppose -2*f + 5*f = -24. Let d be (f\/(-14))\/4*l. Which is the second biggest value? (a) -5\/6 (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*b = -12, -3*c - 4*b + 4 = -c. Solve -5*z - 8 + 1 = 2*l, 5*z + c = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -553 + 598. Solve -5*q - 19 = -3*g - 6, a = -5*g - 5*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {j: 7, w: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-6 - (-6 + 4)). Let l(y) be the second derivative of -1\/3*y**o + 0 + 0*y**2 + 1\/5*y**5 + 0*y**3 - y. Find the third derivative of l(j) wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 16 = 1. Let p(d) = d**3 + d + 4. Let n be p(0). Suppose -5*o + 15 = 0, -4*m - n = -6*m + 2*o. What is the remainder when k is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -5 (c) -1\/3 (d) 0.01 (e) 792\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.86 - -7.8. Let n = -0.14 + u. What is n rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -7737, 2, -1, 17, -2, 1 in decreasing order.\nAnswer: 17, 6, 2, 1, -1, -2, -7737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 5*m - 3. Let f be r(5). Let g = 0 - f. Suppose 3*w - 27 + g = 0. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0616 (base 13) in base 16?\nAnswer: -45fb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r + 2. Let u(n) = -n**3 + 3*n**2 - n - 2. Let z be u(r). Let s be 376\/1551*(-3)\/(-4). Is s at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8360\/(-66))\/(-19))\/((-4)\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-4 - 17) + 14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*s + 12. Let q = s + -17. Let r(w) = 2*w**2 - 7*w - 7. What is the remainder when r(q) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 3*s + s + 25, 4*s = 3*r - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-351)\/(-6))\/3)\/(((-274)\/(-4))\/137).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 (base 12) in base 4?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21297818.\nAnswer: 2, 307, 34687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3348 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*2*((-767)\/442 - (-32)\/136)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, o: 1}. Give prob of picking 3 k.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -3*(sqrt(117) - sqrt(117)*2))\/(sqrt(9) - sqrt(252)\/sqrt(7)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + c - 4 = 3, 3*c = 3. Suppose j*r - 12*r = -3456. What is the highest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*k - 27\/8 - 3\/8*k**2.\nAnswer: -3*(k - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 14. Let g = -71\/4 - v. What is the closest to 0.1 in 4, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 266, 314, 360?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.07615 times 0.538\nAnswer: 0.0409687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54850, 54893, 54998, 55177, 55442, 55805, 56278?\nAnswer: 56873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 3*a - 3. Let q be d(7). Let v = -36 + q. Calculate the remainder when v is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 468 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253490453.\nAnswer: 3, 199, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 43 = w + 3*z, 3*w + z - 29 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*l - 1. Let q be 8\/24*l\/(-9). Let t = q + 17\/27. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 6*v + 12. Suppose 0 = -2*p - 4 + v. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 8:17 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let m be (3 + 2)*g + -2. Suppose 19 = m*d + 7, -2*v + 4*d - 8 = 0. Solve -3*y = -5*q + 14, -q - 2 = v*y - 3*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -3*m**8\/56 - m**4\/4 + 3*m + 1. Let t(v) be the first derivative of i(v). What is the third derivative of t(s) wrt s?\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**8\/840 - j**7\/140 - j**6\/90 - 17*j**3\/6 - 11*j. Let d(w) be the second derivative of i(w). Factor d(f).\nAnswer: -2*f**2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12961249.\nAnswer: 7, 19, 97453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6 + 16 = -4*z, -z + 3 = 3*q. Solve 0 = 4*v - q*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 77*x - 3. Let g(b) = -44*b + 18. Give g(h(i)).\nAnswer: -3388*i + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5581 + -43?\nAnswer: 5537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89980 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 3*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 6:36 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2. Let y(j) = -j**3 - 9*j**2 + 9*j + 3. Let b be y(-10). Let x(k) = -22*k - b*k + 6*k. Give x(c(d)).\nAnswer: 58*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150 - 228. Let s = l - -81. Suppose 24 = 4*z + 3*v, 0 = 5*v - s*v - 8. Calculate the smallest common multiple of z and 13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2569a7 - -4?\nAnswer: 2569ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 319 - 315. Factor -1 + 1 - 122*g**s - 16*g**2 - 16*g**3 + 118*g**4.\nAnswer: -4*g**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4737969 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*p = 26, -6*i + 2*p + 820 - 782 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31012240 (base 5) to base 13.\nAnswer: 8a2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 - 3 - 3) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 468464.\nAnswer: -468464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*g*k*m - 8*g*k - 1338*g*m - g - 6*k*m + 13*k + 113*m wrt k?\nAnswer: 16*g*m - 8*g - 6*m + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1 - 9 = 0, 0 = 3*v + 3*c. Let z = 8 - v. Suppose -z*u + 38 = -5*u. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 11*v**2 + 465. Let i(y) = -y**3 + 22*y**2 + 929. Let x(q) = 4*i(q) - 7*m(q). What is the derivative of x(z) wrt z?\nAnswer: -33*z**2 + 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 319, 510, 701, 892?\nAnswer: 1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Let t(k) = 7*k**2 + y*k - 11*k + 3 - 4. Is t(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(((p**(-1\/3)\/p*p)\/p)\/p*p)))\/p*p)\/p*((p*p**(1\/6))\/p*p)\/p)**21\/(p**(-3)*p\/p**(2\/15))**1 assuming p is positive.\nAnswer: p**(-1301\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 3*o**2 - o + 1. Let s be u(4). Let y = s + 70. Let b = -50 + y. Let z(k) = -1. Let r(w) = -w**2 + w - 6. What is b*r(d) - 3*z(d)?\nAnswer: -d**2 + d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 2, -482\/7, -0.77, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 - 2335 + 4*s**2 + 2320 to o + r*s**2 + l*s and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68884 is divided by 34439.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4791 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 40208322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 116150606, 116150596, 116150578, 116150552, 116150518, 116150476?\n\"Answer: -4*f**2 + 2*f + 116150608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o + 10. Let x(b) = -4*b**2 - b**o + 7*b**2. Let d(a) = -a. Let p(m) = m. Let r(l) = -2*d(l) - p(l). Determine r(x(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 - (72 + -42 + -66).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 3*y**2 - 2*y + 3. Give h(-3).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, -1, 1 in descending order.\nAnswer: 1, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8*n*n**0*n)\/(n\/n**9*n**(5\/2)) assuming n is positive.\nAnswer: n**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 6. Let h(v) = -v + 9. Let b(o) be the first derivative of -4*o - 16. Give d*h(q) - 5*b(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-17\/2)\/(r**(-2\/9)\/r) assuming r is positive.\nAnswer: r**(-131\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -561*s**2 - 257*s?\nAnswer: -1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 638.35*37.\nAnswer: 23618.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -11201111?\nAnswer: -11201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7) + 27 + -30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 10 = 5*a. Let l(z) = -26*z**3 - 4*z**2 - 7*z - 5. Let h be l(-1). Suppose v + 6 = h. Solve i = -5*u, -4*u - v = 3*i - a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.166?\nAnswer: -0.0664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9835541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -823a - -25c8?\nAnswer: -5942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*p + 8 = 0, -2*p = -2*v + 7*v - 22. Suppose -2*q = m - 165, -2*m - 381 = -v*q - 71. What is the greatest common divisor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7042844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81998 - -18494. Suppose -26*h = -54*h + t. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/775 - -1397\/775. Factor 18\/5 - b*j**3 + 1\/5*j**4 - 39\/5*j + 29\/5*j**2.\nAnswer: (j - 3)**2*(j - 2)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-826)\/19175*25)\/(24\/26)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00718909297 to five dps.\nAnswer: 0.00719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from addqaaqaaaqqqaa. Give prob of sequence qdd.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 99.2499ng?\nAnswer: 0.0000000992499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1074.8 - 1069.1312. Round x to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/8 - o**3 - 2*o**2. Let j be t(6). What is the units digit of (-4)\/(-6)*j\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fofs when four letters picked without replacement from {s: 3, f: 2, h: 2, e: 4, o: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 358197 and 6454.\nAnswer: 716394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*q + 2*q + 8*q + 2 - 3*q wrt q.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-32) + -3*2\/(-24).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-228)\/2090)\/(((-4)\/30*66\/(-88))\/(-2))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 3*m**2 + 4*m**2 - 43*m + (-m + 2*m - 2*m)*(m + 0*m + 3*m) + m**2 - 5*m + 5*m.\nAnswer: -m**2 - 43*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**3 + o**2 + 2*o - 4. Let g(q) = 9*q**3 - 3*q**2 - 3*q + 9. Let a(f) = -3*g(f) - 7*y(f). What is the remainder when 26 is divided by a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4113642 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7274676.8689 plus -4797?\nAnswer: -7279473.8689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/8)\/(2\/8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 829294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a - 60. Give p(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 - 12*q**2 + 5*q - 340. Let s(z) = z**3 - 5*z**2 + 2*z - 170. What is -5*s(y) + 2*u(y)?\nAnswer: -y**3 + y**2 + 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 314 and 4775758?\nAnswer: 749794006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -7\/18*n**3 - 1\/36*n**4 + 0 + 62*n - 5\/3*n**2. Determine h so that g(h) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 38*v**4\/5 - 103*v**3\/5 - 369*v**2\/5 + 846*v\/5 = 0. Calculate v.\nAnswer: -3, 0, 2, 141\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 3:54 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 58 = -5*i + 4*r, r = -2. Suppose i = 2*t - s, 0 = -3*t - 5*s + 5. What is the fourth smallest value in 0.5, t, 1.3, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31132.1 times -0.3\nAnswer: -9339.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16404, -32570, -48736, -64902, -81068, -97234?\nAnswer: -113400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 284 + 10. Let k = 294.000139 - l. Round k to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o**3 - 22*o**2 - 10*o + 6 = 0.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10 = -2*a - 0*a, -5*a = 4*x - 28. Factor -24*g**a + 85*g**3 + 4*g**4 + 6*g - 80*g**2 + 9*g.\nAnswer: -5*g*(g - 3)*(g - 1)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3302031 - 10223?\nAnswer: 3231202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/63)\/((-12)\/(-9) + -1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 + 0*g**2 - g**3 - g**2. Let j be k(-1). Suppose -3*u + j*f + 50 = 0, 5*u + 2*f - 10 = 3*u. What is the highest common factor of 4 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 - 6*u**2 + 198*u - 607. Let g(s) = -s**3 + s**2 - s + 65. Calculate the remainder when g(0) is divided by l(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 9:35 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1000212, -1000145, -1000078, -1000011, -999944?\n\"Answer: 67*r - 1000279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-5\/4)\/x)\/x**8)**(-2\/75) assuming x is positive.\nAnswer: x**(37\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) + (sqrt(132)*1 - sqrt(132)))*-2 + -1*sqrt(132)*6)\/(sqrt(15)\/(-6*sqrt(125))) + -5)**2 + -2.\nAnswer: -4800*sqrt(11) + 2534423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146926 (base 11) in base 15?\nAnswer: 297a1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*s**3 + 16 + 17 + 27*s**3 in the form z + h*s + t*s**3 + l*s**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2161 - -5124. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/136*-2 + 9105\/85.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 289.678 - 294.7. Let x = t - -0.022. Let w = 5.9 - 6.01. Which is the biggest value? (a) x (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2 and ((-4)\/16)\/((-1)\/11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 3)*(1 + 0 - 3)*(-5*q**4 + 0*q**4 + 3*q**4).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**6\/120 + u**5\/12 + u**4\/8 - u**3\/3 + 4*u**2. Let s be g(5). Let x = 21 - s. Solve 5*l + x = -7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 53\/5 of a micrometer?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/12608 and 97\/56.\nAnswer: 88256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1729)\/273)\/((-171)\/1269)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3\/5 - t**2\/5 - 8*t\/5 + 12\/5 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 60 - 29?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*q + 2*q - 68. Solve -2*r + q = -l - 0*l, -4 = -5*l + 3*r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*p - 4*m - 0*m, 6*m = 2*p - 6 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*j - 2)*(-892*j - 63 + 1763*j - 829*j).\nAnswer: -84*j**2 + 126*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 3, p: 3, r: 6}. Give prob of sequence ippp.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6))\/((-25)\/9 + 3). Let d be (21\/(-28))\/(m\/8). Suppose -6*k - d = 16. Is k equal to -11\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406363586?\nAnswer: 2, 23, 409, 21599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2771500 by 138575.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 14 + 7. Let x = 6 + t. Is -3\/10 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3649)\/(-246) - 15)\/((-2)\/798612)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11574*o*q**3*s**2 + 3*o*q**2*s**3 - 119*o*q*s**2 - 103*o*q - 875*q**3*s**3 - 18*q**2*s**3 wrt q?\nAnswer: 69444*o*s**2 - 5250*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 6) to base 11.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5697075 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in months?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2 - 38*x + 15. Calculate the remainder when k(-12) is divided by 3*(9 + -1) - 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 - 20.4954687\nAnswer: -20.7354687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b**2 - 6*b - 1. Let s be z(2). Let y(w) = 3*w**2 + 2*w + 2. Let g be y(-3). Let i = g - s. Solve i*x - 18 = -2*c, 0*x - 6 = c - x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 33*p**5 + 7*p**4 + 75*p**2 - 2. Let m(q) = -65*q**5 - 13*q**4 - 152*q**2 + 4. Let s(w) = 5*f(w) + 3*m(w). Find the third derivative of s(n) wrt n.\nAnswer: -1800*n**2 - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2193 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**7\/2520 + m**4\/6 + 2*m**3\/3 - 2*m**2 + m. Let k(z) be the second derivative of b(z). Let o(q) = -q - 11. Give o(k(u)).\nAnswer: -u**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(10\/30*2\/(-1)). Suppose -a = -4*a + 3*f + k, -11 = a + 3*f. Solve a*r = r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**4*h**(1\/2)*(h**(-2)\/h)**(12\/19))\/(h\/(h\/h**(1\/3))*h**(1\/3)*h**6*h\/(h\/(h*h\/(h*(h\/h**(-4\/3))\/h)))) assuming h is positive.\nAnswer: h**(-1109\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuugblguguu. What is prob of sequence ugbu?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 360*g - 629*g - 1193*g - 49708 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**4\/4 - x**3 + 2*x**2 - 6*x + 3. Is 14 a factor of l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3921.246ng?\nAnswer: 0.000003921246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27982528 divided by -71384?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-36))\/((-2)\/6). Let u be (0 + o)*20 + (-1 - 1). What is the highest common factor of u and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/126)\/(-9 + (-520)\/(-60)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2.8. Let a = -5 - -4.94. Let l = 10.8 + -10.3. What is the nearest to -2\/7 in a, l, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 8. Let b be w(0). Let l(k) = k**3 - 11*k**2 + 10*k - 4. Let y be l(10). Put 0, y, b in descending order.\nAnswer: b, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 1. Let u be n(-7). Let i(m) = 3*m - 2. Let l be i(u). What is the greatest common factor of l and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -171778, -347354, -522940, -698542, -874166?\n\"Answer: -x**3 + x**2 - 175572*x + 3794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36884 and 14?\nAnswer: 258188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1389 + 1412. Let f = 513 + -470. What is the remainder when f is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11\/19 - 14\/57. Let i(g) be the second derivative of -3*g + 0 + 5\/12*g**4 - 3\/2*g**2 + b*g**3 - 1\/20*g**5. What is i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-1265))\/((4056\/(-240))\/(-169))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -578 + 576. Let j(g) = -2*g + 3. Let v(c) = -c**2 + 1. Let m(b) = -j(b) - v(b). Calculate m(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-3675)*25)\/(-1*1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**5 + 265*g**4\/6 - 40*g**3\/3 - 155*g**2\/3 + 25*g\/3 + 15\/2 = 0. Calculate g.\nAnswer: -9, -1, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 1 - 410*u + 6.\nAnswer: -410*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75 - 3*b + 75)*(-1 - 1 + 1)*(10 - 6 - 20) as u + y*b and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*q + 40 - 44 + 28 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 8*p**2 - 4*p - 44. Let v be q(9). Let r(f) = -2*f**3 - f**2 + f - 1. Let n be r(v). Put 0.5, 0.2, 1, n in ascending order.\nAnswer: n, 0.2, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3305755\/56 + 59033. Let l = -8685\/8096 + 21\/506. Find the common denominator of l and n.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 6. Suppose 0 = -q - 2*q + 15. Suppose -4 = b + q. Is g(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*y**2 + 631*y**2 + 27*y**3 - 422*y**2.\nAnswer: 27*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30*(-2)\/(12\/(-21)). Let q be ((-5)\/f)\/(2\/6). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1374398124 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + v + 4*q - 395, -4*v + 285 = -3*q. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:44 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8490 (base 11) to base 6.\nAnswer: 123555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 divided by -63?\nAnswer: -1156\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 + 4 + 54)*(b**2 - 2*b**2 - 3*b**2)*(7*b**2 - 12*b**2 - 20*b**2).\nAnswer: 15600*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, m: 1, v: 6}. Give prob of picking 1 l and 2 v.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:23 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 2\/11 (c) -16213 (d) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 + 312*d - 107*d.\nAnswer: 205*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10100 (base 2) to base 5\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -12*n + 74. Let l(c) = -9*c - 2. Let j(i) = -l(i) + m(i). Determine j(24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 4*z**2 + z + 2. Let i(s) be the first derivative of -9\/2*s**2 + 20 - 8\/3*s**3 + 3*s + 1\/4*s**4. Let o be i(9). What is k(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104.5 + -105. Put n, 0.02, 0.4, 0.1 in decreasing order.\nAnswer: 0.4, 0.1, 0.02, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2826*o**5*t - 20*o**4*t**2 - 3*o**2*t**2 + 16497*o**2 wrt o.\nAnswer: 169560*o**2*t - 480*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 8*b - 17. Calculate p(14).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -7. Calculate the common denominator of ((-2)\/(-20))\/(p\/(-1645)) and 107\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 + 1 = 5*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 0.2 (c) 2 (d) 1.4 (e) 1 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-18) - (9 + 90116\/(-117)) is divided by 83.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5}. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*(0 + 0). Suppose k = -3*s + s + 12. Suppose -64*t + 116*t = 884. Calculate the remainder when t is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 7*b + 5*y + 121, -6*b - 4*y = 2*b + 260 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -523758678546 + 0.2.\nAnswer: -523758678545.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/327 and -47\/315936.\nAnswer: 34437024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 + 6\/12. Suppose a = -3*l - 3*f, l - 15 = 5*l + f. Let s = 14 - l. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -293*v**3 - 19*v**2 + 16*v**2 - 215*v**3 - 17 + 8*v. Let u be d(-9). Round u to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275503 at most as big as -0.046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17470023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 297, 453, 609?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/3 and 95\/12402.\nAnswer: 12402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:12 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 78*f + 74. Let z be l(38). Let m(v) = -13*v - 15. Let a(o) = 3*o + 4. Give z*m(g) - 9*a(g).\nAnswer: -g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 195*o**2*w**3 + 1165*o**2 - w**4 wrt w?\nAnswer: 585*o**2*w**2 - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -440 (base 8) to base 11\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*d**2*g + 25*d**2 - d*g + d - 14*g + 478 with respect to d.\nAnswer: -54*d*g + 50*d - g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 70*g**3 + g. Is h(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2308, 2387, 2466, 2545, 2624?\n\"Answer: 79*y + 2229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((6\/477)\/1). Let i = -93 - l. Suppose 5*p = -5*b + i, 2*b - 135 + 45 = 5*p. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1849634 = -5812634. Round l to the nearest 10000.\nAnswer: -1320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55183\/9 or -6132?\nAnswer: -55183\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*s = 14, 40*s - 35*s + 12 = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 0) + (7 - 6). Suppose 0 = -3*m - 3*d + 57, 3*m - o*d = 8*m - 89. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.94622 days?\nAnswer: 81753408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22126 is divided by 244?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + z**2 - z. Let c(l) = 3*l + 35 - 2*l - 30 + 0*l**2 - l**2. Give c(h) + k(h).\nAnswer: -h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7. Suppose 1965 = 44*d + 58 - 513. Sort v, 0, d in increasing order.\nAnswer: 0, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 5*p + 685. List the prime factors of p.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0148747648 to six decimal places.\nAnswer: -0.014875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**4\/90 + 97*k**3\/15 - 58*k**2\/3 + 26*k + 5. Find r, given that p(r) = 0.\nAnswer: 1, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.429, -2\/14379, 5?\nAnswer: -2\/14379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -27*g**2 + 5*g**2 + 7*g**2 + 7 - 58 + 12*g**2. Let d(w) = 5*w. What is m(d(y))?\nAnswer: -75*y**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 322 + -20?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 35.2. Let r = -0.2 - n. Let m = r + 0. Which is the closest to 1? (a) 2\/7 (b) m (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/324545 or 0?\nAnswer: -2\/324545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -357124 divided by 2812.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-12 - -4)) + (-69 - (-42 - -20))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -8*o**3 + 2*o**2 - 16*o + 4. Let z(b) be the second derivative of -b**5\/20 - b**4\/12 - b**3\/6 + 3*b. Let k(v) = -q(v) + 6*z(v). Factor k(h).\nAnswer: 2*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 817220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/108109080 and 71\/328200.\nAnswer: 540545400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1da - 4?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2. Suppose -k = -0*k + 1. Let s = 3 + k. Let b(f) = 1 + f**2 + 0*f + f - 2*f**3 + 3*f**s. Calculate b(r) - 4*p(r).\nAnswer: -2*r**3 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89698187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + 7*w**2 - 5*w + 9. Let m be i(3). Suppose -3*b + 34 = -5*f, 15*b - 13*b - 21 = m*f. Solve b*r + 5*l = 0, 0*r = r + 2*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 20. Let g = o - -18. Let v(u) = 3 - 3 - 2*u + g. Let p(r) = r**2. Give v(p(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-30))\/(2\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -104?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 3) + 72 + -67 + (-16 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115546890?\nAnswer: 2, 3, 5, 53, 72671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)*y**(-1)*(y**(2\/5)*y)**(2\/49) assuming y is positive.\nAnswer: y**(-138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/30041 and 35\/30041?\nAnswer: 30041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = -8*u + 5*u - 16*u + 458, -u = -4*q - 14272 + 14230 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1900) + -2 + 4)*-6)**2.\nAnswer: 1440*sqrt(19) + 68545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-315)*-7)\/(6\/(-5))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:50 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 147*s + 20 - 20. Determine m, given that 16\/7*m + s + 8\/7*m**2 + 1\/7*m**3 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98730*t**3 - 87505*t**3 - 92383*t**3 - 197803*t**3.\nAnswer: -278961*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 345\/2 + -172. Sort 0.1, k, -6, -3 in decreasing order.\nAnswer: k, 0.1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 + -1.99. Suppose 23*y - 265 - 1414 = 0. Let l be (y - 56)\/(1*(2 + -1)). Which is bigger: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3929, 14903, 33193, 58799, 91721, 131959, 179513?\nAnswer: 234383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 26 = -5*q - 5*n, -2*q + 3*n + 24 = 0. Suppose 0 = -8*g + 66 - 10. Suppose g*c + q = 5*c. Let t(p) = -2*p + 1. Determine t(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/21)\/4*28\/8. Factor 0 - 2\/3*w**i + 7\/3*w**3 + 0*w + 3*w**4.\nAnswer: w**2*(w + 1)*(9*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25096 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 999900059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 46757?\nAnswer: -12\/46757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -14*z**2 - 20*z - 6. Let d = 52 - 63. Let y(x) = -5*x**2 - 7*x - 2. Let j(s) = d*y(s) + 4*u(s). Let g(l) = l - 6. Let m be g(3). Give j(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.77 and 0.7064?\nAnswer: 8.0636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**4 + n**3 - 1. Let b(f) = 6*f**5 + 2*f**4 - 2*f**3 - 2*f + 2. Let m(j) = -b(j) - 2*w(j). What is the second derivative of m(l) wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13\/12 - -3\/4. Let g be ((-7)\/42*3)\/(-2). Which is the nearest to 1? (a) 0.5 (b) x (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 4 - 87. What is the smallest common multiple of 7 and f?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-21) + (-2)\/(-7). Let p(k) = -3 + 7*k + n - k + 0*k - k**2. Calculate p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6668853 (base 9) in base 13?\nAnswer: -988692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -304, -463?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-79280)\/(-14)*2 - (-202)\/707?\nAnswer: 2, 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-7)\/((-84)\/(-32)) + 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1475 - -1308. Is -165 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17418 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:07 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17854*v + 64 - 106 + 42)*(v - 4*v + v).\nAnswer: -35708*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.63 (c) 1 (d) -0.3 (e) -8415\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 179 = -5*h, 3*h = 7*a - 5*a - 185. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-965)\/(-1158))\/(1\/(9\/10)). Let z(b) be the first derivative of -4\/5*b**5 - 9 + 1\/3*b**3 + 0*b + f*b**4 + 0*b**2. Find o such that z(o) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1079*p - 1074*p - 17 = g, -25 = -5*p + 5*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/68757 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35890, 71810, 107732, 143656?\n\"Answer: u**2 + 35917*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 20*m**2 + 7*m - 38. Let d be p(20). Suppose 4*z + 5*g - d = 0, -2*z + 5*z + 2*g = 80. What is the least common multiple of 9 and z?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = 47 + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.220386ng in kilograms?\nAnswer: 0.000000000003220386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f - 19*f + 16*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**5\/2 + 115*o**4 + 2915*o**3\/2 + 6795*o**2 + 7290*o - 15660 = 0.\nAnswer: -29, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 944, 30, -1 in descending order.\nAnswer: 944, 30, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5181831 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3679.8 less than -1539775?\nAnswer: -1536095.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -4753465.\nAnswer: -71301975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:38 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 1019*p + 32568. Give q(-31).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022 - 0?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-2))\/(((-6)\/14)\/((-36)\/(-126))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/11 (b) 21\/11 (c) -777\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -138014544.3 rounded to the nearest 1000000?\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/8 in -3, 1, -2, 25, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeu when three letters picked without replacement from {e: 2, u: 1, y: 5, r: 2, i: 2, c: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57\/2 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33316602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28*((-2)\/(-4)*3)\/((-954)\/(-318))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 179 = 219. Sort c, -3, -18, 1, -10 in decreasing order.\nAnswer: 1, -3, c, -10, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*l - 123*l = -296*l - 510 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.7464\nAnswer: 0.7464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/88*1 - (-31)\/8. Solve b*y + 2*y = -24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 5920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20201322 (base 4) in base 5?\nAnswer: -2104223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 296 * 0.94852\nAnswer: 280.76192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 21*o - 19. Let b = -79 + 111. Is h(b) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-6) + ((-45)\/(-12))\/(6\/8). Find u, given that 0*u + 0*u**2 + y + 5\/4*u**4 - 1\/2*u**3 + 3\/4*u**5 = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 963, 993, 1089, 1287, 1623, 2133, 2853?\n\"Answer: 6*k**3 - 3*k**2 - 3*k + 963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -511 + 521. Suppose 2139 + 1501 = x*l. Does 91 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1737, 2456, 3159, 3840, 4493, 5112, 5691, 6224?\n\"Answer: -r**3 - 2*r**2 + 732*r + 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*2*(sqrt(1100) - (sqrt(1100) + 2))**2 + ((sqrt(1100) - (4 + sqrt(1100) + 0)) + sqrt(1100) - (sqrt(1100)*2 + -5)) + 1.\nAnswer: -10*sqrt(11) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 7:47 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -125*r + 3. Let z(c) = -124*c + 3. What is 3*y(s) - 2*z(s)?\nAnswer: -127*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16250 or 15242?\nAnswer: 16250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 166*a - 2358. Let y(z) = -12*z**2 - 2157*z - 30657. Let x be ((-12)\/(-16))\/((-296)\/64 + 5). Let l(h) = x*y(h) - 27*w(h). Factor l(c).\nAnswer: 3*(c + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -163\/29871?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8204 - 8158. Solve d = 7*u + 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451559 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/112*(-4)\/16\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14253048 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3\/2 + -1). Suppose -7 = -r*h + h. Suppose 15 = -k + 4*k - 3*x, 0 = 4*k + 3*x - 41. Is k less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcjc. Give prob of sequence jjc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + -3 + 5.\nAnswer: 2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**5\/60 + 43*w**4\/36 + w**3\/18 - 43*w**2\/6 + w - 29. Determine s, given that b(s) = 0.\nAnswer: -1, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 31.1. What is the nearest to 5 in i, -3, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -42, -42, -40, -36, -30, -22?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3614, -7230, -10846, -14462, -18078, -21694?\n\"Answer: -3616*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 i when three letters picked without replacement from iiijiiiiijjijijiiiii.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + 7.46.\nAnswer: 14.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 159 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2559873 + 2559873 + 2*s**2. Let v(m) = 3*m + 12. Determine l(v(j)).\nAnswer: 18*j**2 + 144*j + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1791, -3, 2 in decreasing order.\nAnswer: 1791, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1337975 (base 10) to base 16\nAnswer: -146a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 6*j**2 + 2*j + 5. Let v be p(5). Let a = v + 22. What is the least common multiple of 28 and a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, b: 11}. Give prob of picking 2 b and 2 t.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 7428.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 15*y + 7. Let t be z(6). Suppose o = 2*h - 49, -4*h + o + t = -0*h. Calculate the greatest common factor of h and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -221130000?\nAnswer: 221130011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549, 818, 1595, 3138, 5705, 9554, 14943, 22130?\nAnswer: 31373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.43 + 4.43. What is the closest to 0.1 in b, -3, -2\/9, -2\/133?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Suppose 0 = -3*t - 4*x + 2*x - 18, 4*x + 12 = -2*t. Let f(r) = 4 + 10*r - 7*r - 1. Give t*a(z) + f(z).\nAnswer: -3*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7787823570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*m**2 + 47*m**2 + 30*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(500)*2) + sqrt(21)\/sqrt(3)*1*-3.\nAnswer: -59*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4614 divided by 108?\nAnswer: -769\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5000033 take away 3?\nAnswer: -2.4999967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 271416.\nAnswer: 1357080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -220. List the prime factors of t.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**9\/10080 - z**6\/720 - z**5\/15 + 4*z**2. Let o(t) be the third derivative of h(t). What is the derivative of o(k) wrt k?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16008.8ml?\nAnswer: 16.0088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 18*b - 8*b - 8*b - 7*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-16)\/(-216)*18\/(-32)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 10) to base 2.\nAnswer: 10010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249 - 2813*c + 493 + 43*c**2 - 244 + 2815*c.\nAnswer: 43*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 1 - 5 + 12 + 693*p - 569*p.\nAnswer: 124*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10665906 - 285.17?\nAnswer: -10666191.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 2*w**3 + 7*w**2 - 5.\nAnswer: 2*w**3 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-14))\/(30\/12) + 68\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104145414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23711 - -23802. Solve 50*c + i*c = 42*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l + l + k, 5*k + 15 = 0. Let r be -4 + l\/(-3) + 9. Calculate the highest common factor of 36 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 16*w**2 - 81*w - 34. Let t(m) = 14*m**2 - 76*m - 36. Let c(b) = -6*n(b) + 7*t(b). Factor c(r).\nAnswer: 2*(r - 24)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4314305, 4314303, 4314313, 4314341, 4314393, 4314475?\nAnswer: 4314593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 191134291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(7\/3)*t**(9\/8)\/t assuming t is positive.\nAnswer: t**(107\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 3*s**2 + 2*s**3)*(58*s + 2865 - 1426 + 4*s**2 - 1437).\nAnswer: 8*s**5 + 116*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-40)\/((((n\/(n*(n*n*n\/(n\/((n**(-1\/15)\/n*n)\/n*n)))\/n*n*n))\/n)\/n*n)\/n*n)*n**39\/n**(-4\/3) assuming n is positive.\nAnswer: n**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2276, 4516, 6756?\n\"Answer: 2240*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 434890, 869758, 1304592, 1739374, 2174086, 2608710?\nAnswer: 3043228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-742\nAnswer: -22.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 304323 divided by -22\nAnswer: -304323\/22","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**3 - 14*s**2 - 10*s - 17. Let d(k) = -9*k**3 - 28*k**2 - 19*k - 34. Let m(v) = -6*d(v) + 11*n(v). What is the tens digit of m(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268062109?\nAnswer: 7, 29, 67, 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 45 = -23*n. Calculate the common denominator of ((18\/n)\/(-3))\/(16\/206) and (0 - 1) + 1\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 + 31*w + 142. Let n be c(-4). Calculate the greatest common factor of 416 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c = 4*k + 16, 3*k = -c. Factor g**3 + 8 - 14*g + 16*g + 3*g**c - 14*g.\nAnswer: 4*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/720 and 11\/400.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3))\/((-2)\/9). Let r be 0 + h\/(-9)*-3. Let l be (r\/(5\/(-2)))\/(-1). Is 1 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 96 - 112 = 0. Let d be (-7)\/((-20)\/g + 1). What is the highest common factor of 308 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = 2*u, 7 + 15 = 4*u + 5*w. Let q(b) = b**3 - 7*b**2 - 8*b + 13. Let l = 9 + -6. What is the remainder when q(u) is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 4*c - 8. Determine x(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9872, 19749, 29616, 39467, 49296?\nAnswer: 59097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-5))\/(16\/(-480)). Let f = -5\/94 + 308\/47. What is the common denominator of (-5)\/8*-6 - (-40)\/h and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 518*c**2. Let v(g) = 5*g - 24. Let m(w) = 18*w - 72. Let h(b) = -2*m(b) + 6*v(b). Determine k(h(u)).\nAnswer: 18648*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41082878.\nAnswer: 2, 383, 53633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svvivsvvvvivk. What is prob of sequence kv?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.001, -5, -1\/13, -2\/7?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367946413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1586883, -3173343, -4759803?\nAnswer: -6346263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - z**2 - 12*z + 3. Let h be n(0). Suppose -5042 = -5*i + g, -h*i + 4*i - 4*g - 1016 = 0. Is 50 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -18720, 2, 3\/2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 14\/4)*-2. Suppose -n - b*g + 13 = 0, -3*n - 2*g + 13 = -0*n. Solve -j - 3 = i, 3 = n*i - 2*j + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-195)\/33 - -6)*20\/(-50).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by (-1 + -67)*(3 + (975\/(-20))\/13)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -5*f - 15, -2*f - 19 + 15 - 2 = 3*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 4*m + 2 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4245 and 849.\nAnswer: 4245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12*s - 26*s + 12.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1330\/(-2261))\/(25\/(-2040))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 352\/13, -2, -1\/29, 11.\nAnswer: -2, -1\/29, 11, 352\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 10115481.8995.\nAnswer: -10115486.8995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 20 = -4*i, g - 3*g + 25 = 5*i. Let y be (9\/6)\/(6\/i). Let j = 2.7 - 3. Sort y, j, 2 in descending order.\nAnswer: 2, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 326 + -326. Let i = -4 + 9. Suppose -3*w + 2631 = 2*f, d = -i*w + 4*w - 2*f + 873. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/163615 and 1\/1636150.\nAnswer: 1636150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Suppose -12918 - 5787 = -145*i. Is z less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5382883 = -8*o - 5382851, 5*o - m - 29 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u + 7*u + 0*u - 12*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4106861546?\nAnswer: 2, 37, 55498129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 406 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 15165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 110 (b) -2\/25 (c) -609 (d) -0.2 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.115, 5, -7\/5, -408, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0*(-1)\/(-3))\/(-9*7\/21). Let s = -8432\/3 + 5674730\/2019. Is s at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - 5*b**2 + 27*b + 1. Let p(k) = -k**2 + k. Calculate -5*p(x) + q(x).\nAnswer: 2*x**3 + 22*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5733 + -5599. Calculate the greatest common divisor of d and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, 8, 20, 36, 56, 80?\n\"Answer: 2*g**2 + 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, k: 1, c: 3, e: 6, i: 2}. Give prob of sequence ik.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (9 - 4) - -2)\/(-1). Let z(s) be the third derivative of -s**6\/120 - s**5\/15 + s**4\/3 - s**3\/3 + 2*s**2. What are the prime factors of z(o)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - (50 + -89) - (26 + (-11 - 4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a - 2. Let r be o(3). Suppose -7*l**r - 4*l**2 - 3*l + 2*l**2 + 9*l**4 + 4*l - l**5 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -5*o - k, -o - 5*k + 11 = -0*o. Calculate the remainder when 55 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17107 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:39 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 415938, 415937, 415940, 415947, 415958?\n\"Answer: 2*y**2 - 7*y + 415943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -221*-2.3\nAnswer: 508.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 13*y. Let g be (-1)\/2 - (-3)\/6. Suppose 5*n - 5*w - 20 = g, 3*n - n = 3*w + 10. Let s(q) = -3*q**2 - 2*q**2 + n*q**2 + q**2. What is f(s(j))?\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 550.\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 1:37 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 18*v**2 + 27*v + 22. Let j be d(-22). Let t be 2\/(-7) - j\/(-42). Find the common denominator of -53\/8 and (3\/t)\/(30\/25).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 341937\/1785671*((-2)\/3)\/(-1)?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/4 - 6*c. Let f(i) = i**2. Determine f(n(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -105 in 1, 132345, -1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -542, -3, 3 in decreasing order.\nAnswer: 3, -3, -542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 200543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/h**11)))\/h)\/(h*h*h*h**8)*h\/((h**27\/h)\/h)*h*h*h*h**21 assuming h is positive.\nAnswer: h**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 46791 divided by -1342\nAnswer: -46791\/1342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2740896*d**3 + 16*d**2 - 2*d + 93?\nAnswer: 16445376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 + -8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8303716 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(-4*sqrt(228)\/(sqrt(1452)*3) + 1)**2)*-3.\nAnswer: -32*sqrt(19)\/11 + 8839\/363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 5750338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29629 - 29628. Put 2, -9\/115, f in descending order.\nAnswer: 2, f, -9\/115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 14 = -x, -32*p - 2*x + 20 = -30*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/6)\/(5\/((-75)\/10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0 (b) -4 (c) 3 (d) -2\/2871\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -130, 46, 10.2?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/(-54) - (-15)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 28827.2 weeks?\nAnswer: 17434690560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-1)*q))\/q*q**(1\/2))\/((q**3\/q)\/q**(-1\/7)))\/((q\/q**(-6)*((q\/q**(2\/13))\/q)\/q)\/((q*q**(-2))\/(q*q**(-1)*q))) assuming q is positive.\nAnswer: q**(-1727\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 z, and 1 r when four letters picked without replacement from brbbrzbrrrbrbb?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 988*f + 6. Let m be u(1). Suppose 2*t = -4*x + m, -467 = -t + 8*x - 4*x. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272191643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {w: 2, d: 11, f: 6}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192379?\nAnswer: 11, 17489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116*m**3*s**2 - 42*m**3*s - m**2*s - m**2 - 4*s**2 wrt s?\nAnswer: 232*m**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 7 - (-11 - -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.709536618 - -5877?\nAnswer: 5822.290463382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924604804?\nAnswer: 2, 11923, 19387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000046973 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 2\/3, 71\/9, -0.5?\nAnswer: 71\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (276\/(-36) + 8)\/((8\/3)\/(-8))*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401478 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*n - 16, 4*w + 301 = 5*n + 290 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -50, -100, -168, -254?\n\"Answer: -9*i**2 - 5*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -434827 and 7089404.\nAnswer: 6654577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-204)\/135*6\/(-4)*(-4080)\/(-6528). Let b(g) be the third derivative of a*g**4 - 5*g**2 + 0 + 0*g + 2\/15*g**5 + 4\/3*g**3. Factor b(d).\nAnswer: 2*(d + 4)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1546*v + 18560. What is n(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/60 and 65\/4149?\nAnswer: 82980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 = 14. Calculate the remainder when 34\/8 - (-1)\/(-4) is divided by (n - 0)*(-9)\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 12073096.\nAnswer: 108657864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 10:04 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 31 = -t, -2*t - 50 = 3*c - c. Let x = -14 - t. Suppose -8*a + 92 = -6*a. What is the remainder when a is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20982.8 to the nearest 100.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/31 (b) -3 (c) -7\/288 (d) -0.4 (e) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4013191811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 2\/5, 1\/2, -0.1, -1\/125, 15\/11, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyypyyyypfyfyyf. Give prob of picking 2 y and 2 p.\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069994741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0266 times -20?\nAnswer: -0.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + a + 8. Let f be h(6). Suppose 2*k = -71 + 159. Let v = f + k. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966 times 0.1?\nAnswer: 96.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254859920 by -36408560.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1539 divided by 3.\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6616*n - 1775*n + 1637*n - 7529*n to t + r*n and give r.\nAnswer: -14283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 14 = -5*j, -5*j + 3*s = -16 + 3. Suppose 2*r**2 - 4*r**j - 172*r**3 - r**2 + 166*r**3 - 3*r**4 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from {c: 2, l: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 689\/39)*(-45)\/(-220).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264185 and 1510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 25259, -2\/19, -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 164 = -4*i, -30 + 257 = -4*x - 3*i. Let d be 2\/4 + x\/32*-2. Solve -d*k = 4, 5*k = v - 10 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 i when four letters picked without replacement from {i: 7, t: 5}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 6. Let n(v) = -v - 1. Give -i(k) - 5*n(k).\nAnswer: 7*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.0421.\nAnswer: 0.0842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 6*t - 6. Let d be l(-4). Suppose -m = m - d. What is the second biggest value in 5, m, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 187992\/50544*-18 - -67.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m + 15*m + 21*m + 4*m - 206*m + 126*m.\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 11) in base 13?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 36, -16, 66?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7812)\/1302*-12*4\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3 - 23. Suppose -4*i + z*i - 10 = 0. Solve 0 = -9*c + 4*c - i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 6*k**2 + 9*k + 17. Calculate h(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 6*w - 26. Suppose 21*c - 630 + 14 = 109*c. What is t(c)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2889 is divided by 922?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + -2)**2 + 0 + -1 - (sqrt(21)\/sqrt(7)*-1 - (sqrt(432) + 0 + sqrt(432)))**2.\nAnswer: -1845 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9*c - 15 = 0. Let w = c + 11. Suppose -201*a + 985*a = 10976. What is the highest common factor of a and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774636808 rounded to the nearest one million?\nAnswer: 775000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + i + 14. What is k(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*d - 36*d + 56 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33265 divided by -2?\nAnswer: -33265\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -244 - 212 - 344 - 2*p - 375 + 184 to r*p + h and give h.\nAnswer: -991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**4 + 4*f**3 + 12*f**2 - 134*f + 4. Let h(z) = -z**3 + 3*z - 1. Let v(m) = 4*h(m) + u(m). What is the second derivative of v(q) wrt q?\nAnswer: -12*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10*l**3 - 2*l**2 - 2*l. Determine z(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*a + 14803 = 3891 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/330*1)\/((-2)\/(-9)*-1).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 19, -2\/9, 0.2, -1193142 in decreasing order.\nAnswer: 19, 4, 0.2, -2\/9, -1193142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 16 + 0 - -23\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9054?\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2. Let v(x) = -x - 5785498. Determine v(d(h)).\nAnswer: -4*h**2 - 5785498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543757534.\nAnswer: 2, 271878767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.081.\nAnswer: -0.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3534088894 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.67 - -0.07. Let w(y) = -4*y + 14. Let n be w(3). Which is the smallest value? (a) p (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 3)*(126*a + 19821 - 19821) in the form o + w*a and give w.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9975732.913 + 0.5.\nAnswer: 9975733.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 311, 735, 1217, 1751, 2331, 2951, 3605?\n\"Answer: -v**3 + 35*v**2 + 326*v - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/(-72) - 0 - (-6)\/(-8). Let t = r + 5\/9. Put -2\/25, 3, t in increasing order.\nAnswer: -2\/25, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17 (b) -1\/4 (c) -233 (d) 0.6 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -457.9754\nAnswer: 457.9754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110294, 881681, 2975444, 7052771, 13774850, 23802869?\nAnswer: 37798016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i + 36*i - 5 = -2*y, -2*i - 2 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*v = 246*v. Solve v = 17*q - 129 - 24 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -51. Suppose 0 = -0*q + 3*q - r. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.764984 * -1\nAnswer: -6.764984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwwzzzzzrwzbwbbkr. What is prob of sequence kbb?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-1*-4)\/(sqrt(32)\/sqrt(2) - sqrt(48)\/(sqrt(24)\/sqrt(2) + sqrt(12))).\nAnswer: 32*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -269*w**2 + 136*w**2 + 132*w**2 + 0*w**3 - 27 + w**3 in the form q*w**3 + g*w**2 + z*w + i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32912 by -1936.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2326600 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29120951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -592836.\nAnswer: 1\/592836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 10*z**2 - 10*z + 15. Let n be u(-11). Let y(w) = 13*w + 589. Let l be y(-45). Solve 0*x = n*x - 4*f + 16, 5*x = l*f - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*i + 8 - 29 - 10*i - 6*i as f*i + w and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1817 - -1828. Calculate the highest common divisor of x and 2827.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p**16\/p*p)\/p)))\/p*p**(-6\/17)*(p*p*p**(-23)\/p)\/(p**(4\/5)*p))**(1\/3) assuming p is positive.\nAnswer: p**(-863\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 0.06, -4, -1, -0.02, 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.99 + 0.19. Let p = 0.2 - s. Let o be (3\/20)\/(9\/(-4)*35\/42). What is the third biggest value in 0, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*(33\/24 - 2))\/((-7490)\/1712). Let h = 4 + -3.7. What is the closest to -2\/7 in g, h, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (3 - 11 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4470 is divided by 3484?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-10) - (-4)\/(-10). Suppose -l = 3*m - m. Let w = m + -1. Put -4, w, 5 in descending order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17653 is divided by 384?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -310\/9 - -104\/3. What is the nearest to -1 in -2\/9, o, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/8 + 843*r**2\/8 + 3*r\/8 - 843\/8.\nAnswer: -3*(r - 281)*(r - 1)*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19082)\/(-10) - (-5 - (-104)\/20). Suppose -22*y + d - 38 = 0. What is the highest common divisor of y and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 118*r + 118. Let u be b(-1). Let s = 0.6 + 3.4. Sort u, -2\/7, s, 0.\nAnswer: u, -2\/7, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 15*i**2 + 82*i + 18. Determine r(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 7 - 3222\/(-324) - (-3)\/54.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2596462*j**2 - 2209*j + 2596464*j**2 + 2209*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1)\/1 - -2. Suppose 1 = -a, 2*a = -3*c + m + 1. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8406*a**2 + 6132*a wrt a?\nAnswer: -16812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:40 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31299 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 1361565?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7\/((g*g**(-2))\/g))\/(g*g**(-1\/2))**(-10\/3)*((g**(3\/4))**7)**(-2\/65) assuming g is positive.\nAnswer: g**(4097\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 75 - 6*m - 75. Let g(j) = 2*j**2. Calculate g(u(n)).\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 6*(-3 + sqrt(7)) + (sqrt(28)*2)**2 + (sqrt(7)*2*-1 - ((sqrt(70)*2)\/sqrt(10) + sqrt(7)))**2 + 0)*-6.\nAnswer: -1614 - 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 10:43 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, 29, -2, -1, -2099 in increasing order.\nAnswer: -2099, -2, -1, 4, 15, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -10. Let d = n + 15. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.920937 * 0.3.\nAnswer: 3.5762811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o - 1. Let n be t(2). Let k be (-2 - n)*1\/(-3). Let g = k + 17. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/9*(-19 - -1). What are the prime factors of (-1 - 3)\/(p\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1236*y**3 - 374*y**3 - 479*y**3 - 384*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 981 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11511*w + 46052*w - 11507*w - 11510*w - 11523*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 12. Let p be x(-10). Let r = 0 - p. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9004, -17806, -26404, -34798, -42988, -50974?\n\"Answer: 102*t**2 - 9108*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 8:52 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 589 + -585. List the prime factors of -77*(p + 2 - 19).\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (876 + 3714 - 2617 - 2519 - 12449 - 13011)*(s + 2*s - 4*s) to i*s + j and give i.\nAnswer: 26006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbbf when four letters picked without replacement from {b: 2, f: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 107*u + 40. Let f(w) = -54*w - 18. What is -9*f(r) - 4*x(r)?\nAnswer: 58*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.03 - 0.03. Let k be 438\/(-2044)*14\/(-18). Which is the second smallest value? (a) k (b) -0.5 (c) g (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 145*b + 133*b + 3585 - 135 + 2388 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 8, i: 2, a: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 21*x + 0*x**2 + 7*x**2 + 5 + 0*x + 9*x**2 - x**3. Is r(17) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 237748 and 1213.\nAnswer: 237748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/10734 and -3\/2.\nAnswer: 10734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 288\/24 - ((-3)\/(-12) - 2).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 5, -10, -2 in increasing order.\nAnswer: -10, -2, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -73*h - 279. Let s be q(-4). Solve 27*x = s*x - 70 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 7*b**2 + 9*b + 14. What is d(-7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 29175094 = 4*r + a, a + 2 = 0. Let j be 1\/4 - r\/(-8). Let u = j + -511722. Round u to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2220329, 2, 16 in decreasing order.\nAnswer: 16, 2, -3, -2220329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -49 times -1.1\nAnswer: 53.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1940?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -16 - 18*p - 11*p + 30*p. Let q(h) = -5*h. Calculate q(l(g)).\nAnswer: -5*g + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*v**3 - 5\/3 - 7\/3*v**2 - 11\/3*v.\nAnswer: -(v + 1)**2*(v + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1134 - 7940\/7. What is the closest to t in 23, 0, 3\/2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5610 + 5682. Solve v = 92*y - 20*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-214)\/8 + 6\/(-24) - 1. What is the tens digit of f\/2*(4 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1456897530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 9*g + 3. Let i be q(-12). Suppose 0 = -w - 54 + i. Let m = 66 + w. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 287017337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -39*o**2 + 5*o + 6. Let n(l) = -40*l**2 + 6*l + 7. Determine 6*f(c) - 5*n(c).\nAnswer: -34*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/30*(-96)\/(-64).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 7*p - 46. Let z be o(0). Let a = 49 + z. Calculate the smallest common multiple of a and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6375800 to the nearest integer?\nAnswer: 2525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 3145.\nAnswer: 28305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 847 - 17?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7462588.115 rounded to the nearest one thousand?\nAnswer: -7463000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -414 + 605. Suppose -h + 3048 = v. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 4*k**2 - 10.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 389 = 3*a - 188, 3 = 3*z. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 + 0*q**3 - 6 - 1 - 5*q**2 + 1. Let h(t) = -t**3 + t**2 + 1. Let b(j) = -4*j - 113. Let f be b(-28). Let n(r) = f*h(r) - a(r). What is n(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnoeenntoottontottt. Give prob of sequence noeo.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let s(l) = -2 + 5*l**i + 9*l - 2 + 2 - l**3. What is the least common multiple of s(6) and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35.8 + -32. Let u = -0.2 - s. Sort 1, u, 2\/13 in decreasing order.\nAnswer: 1, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 560 = -7*a. Let q be a\/2*5\/20. Solve 0 = -3*t + q*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -408, -355, -306, -261, -220, -183, -150?\n\"Answer: -2*p**2 + 59*p - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 20*j**2 + 16*j - 12. Let d be i(9). List the prime factors of ((-440)\/60)\/(2\/d).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 8:46 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2372082 + -2?\nAnswer: -2372084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/126 and -67\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*4*sqrt(315))\/sqrt(9))\/(sqrt(405) - (sqrt(405) + (sqrt(405) + -4*sqrt(405))*3)).\nAnswer: -16*sqrt(7)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**17*q*q)\/(q**(3\/17)*q*q) assuming q is positive.\nAnswer: q**(286\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.4. Let b = -0.15 - -18.15. Let x = 16 - b. Sort r, x, -0.4 in descending order.\nAnswer: r, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1122221012000022?\nAnswer: -1122221012000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 73.5? (a) 5 (b) 8 (c) 6\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, p: 4, t: 4, b: 7, y: 2, j: 2}. Give prob of picking 4 b.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3941\/30 - -401\/3. Find the common denominator of c and 121\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101010011100100111 - 100?\nAnswer: -10101101010011100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -454, -351, -174, 77, 402?\n\"Answer: 37*z**2 - 8*z - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 12:01 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 9*a**2 + a + 2. Let k be q(4). Let j be (45\/(-2))\/(6\/(-16)). What is the greatest common divisor of j and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*h - 36 = 90*h, 5*i = 3*h + 34. Find d such that -i*d**4 - 146\/3*d**3 + 0*d - 172\/3*d**2 + 64\/3 - 4\/3*d**5 = 0.\nAnswer: -4, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-2)*36\/630*3. Which is the biggest value? (a) 0.3 (b) 4 (c) s (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/35 in 0.04, -0.4, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-14)*(-1 - (-15)\/(-20))*-1. Put d, 1, 447 in increasing order.\nAnswer: d, 1, 447","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(54\/(-4)) - 7900550\/(-1575). Suppose 49*d = 61*d - u. List the prime factors of d.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -7 + 4 - -1 - -15 - -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/38123, -1.9, 3\/2?\nAnswer: -1\/38123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -7*p + 2\/11*p**3 - 5\/66*p**4 + 0*p**2 + 0 - 1\/110*p**5. Factor b(i).\nAnswer: -2*i*(i - 1)*(i + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 166008 = -4*q, -2*o + 199285 = 5*q + 33275. What is o rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v + 1. Let c be x(-10). Calculate the greatest common factor of c and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -95682 from 4.3.\nAnswer: 95686.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + 24 + (-7 - -3) + 12.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.2563 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13805913 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-778)\/(-360) + (-2590)\/2331 and -63\/8350.\nAnswer: 16700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 38785312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43371 and 45346?\nAnswer: 24894954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**3 + 13*b**2 + 4*b + 7. Suppose -205 = -6*g + 1103. Let y(c) = 4*c**3 + 0 - 9*c**2 + 215*c - 5 - g*c. What is -5*u(p) - 7*y(p)?\nAnswer: 2*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1348797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-4\/9)*g**(-4))**42*(g**(2\/3)\/(g*g**3))**30 assuming g is positive.\nAnswer: g**(-622\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-132)\/1639)\/(-6)*1. Suppose 0 = -5*w - 5*m - 30, -m - 2 = -5*w + 2*w. Is a less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6082 is divided by 1007?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1372767640 + 5*n**3 - 7*n**3 + 1372767640 + n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(30\/4) + 0. Let u be ((-4)\/6)\/(18\/(-81)). Let c be ((-4)\/(-28))\/(u + -2). Sort c, y, 2\/7 in ascending order.\nAnswer: c, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2. Let q(v) = 8*v**2 - v**2 - v**2. Determine q(m(d)).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/33, 0.5, -3, 33, -0.3, 1, 60?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -518 divided by -2162.\nAnswer: 259\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 38*y - 101. Let i be q(33). What is the highest common divisor of i and 1376?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*t + 37*t + 36 - 4 - 34*t wrt t.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004062?\nAnswer: 2, 59, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/8)\/((-1435)\/(-410)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*6\/(-72)*15\/(945\/117)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47686?\nAnswer: 2, 113, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -15, -43, -91, -165?\n\"Answer: -n**3 - n**2 - 4*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.617 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 610262364 to the power of 1\/2, to the nearest integer?\nAnswer: 24703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.6 and -3190884.\nAnswer: -3190876.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(637) + -2 + sqrt(637) + -2 + sqrt(637) + sqrt(637) - sqrt(637)) + (1 + sqrt(637))*2))**2*4 + -3.\nAnswer: -14000*sqrt(13) + 1592897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 2, i: 2, d: 1}. What is prob of picking 1 i and 1 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140507660 is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/7425*-33)\/(46\/(-5))\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.85646l to millilitres.\nAnswer: 43856.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -4. Let t = 0.0978 + 2.9022. What is the closest to 1 in -1\/2, w, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16779 rounded to three decimal places?\nAnswer: -0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1348130 to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 21*t - 4 + 22*t - 60*t + 16*t. Calculate b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1\/2))**(18\/11))**(-16)\/((a**(1\/2)*a)**32*(a**(2\/3))**(8\/9)) assuming a is positive.\nAnswer: a**(-26096\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/6 + -1 + (-2)\/(-3). Let k(p) = -7 - 6 + r*p + 10 - 2*p. Let d(c) = 13*c - 7. Determine 2*d(n) - 5*k(n).\nAnswer: -4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + 28\/3. What is the units digit of (-12)\/(l\/(-6)*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173*a**4 - 15372*a**3 + 133776222*a**2.\nAnswer: -4152*a - 92232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4 - 1056660*y**3 + 69783675552*y**2 - 69782618896*y = 0. Calculate y.\nAnswer: 0, 1, 132082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 + -523\/5. Let o = 0 + 0. Sort o, 4, p in descending order.\nAnswer: 4, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -69 and -11051\/163 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -318*r + 140. What is the hundreds digit of y(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*h + 10 + 6, 0 = 5*k - h - 21. Let p = 0.0815 - -0.3185. Which is the nearest to -2\/3? (a) k (b) -6\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*-1*192\/(-18). Let w = -25 + o. What is the second derivative of w*n + 2*n + 0*n**4 - 10*n**4 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/3 + 102*c**2 + 4810*c + 216302\/3.\nAnswer: 2*(c + 37)**2*(c + 79)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**6\/360 + z**5\/90 + z**4\/72 - 13*z**3\/2 - 17*z**2. Let k(g) be the first derivative of f(g). Factor k(t).\nAnswer: (t + 1)*(3*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.032, -28, -4, -1\/2, -71, -5 in descending order.\nAnswer: 0.032, -1\/2, -4, -5, -28, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/13 + 4884*n**2\/13 - 4886*n\/13.\nAnswer: 2*n*(n - 1)*(n + 2443)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3467, 3466, 3465?\n\"Answer: -k + 3468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.595 + 2.595. Which is the fourth smallest value? (a) -5 (b) 3 (c) 18 (d) 2\/9 (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 122*p - 38*p - 47*p + 43 - 41*p. Let x(v) = -v**3 - 7*v**2 - 9*v - 7. Let k be x(-6). Let d be l(k). Which is greater: d or -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 223*2\/8 + 19\/76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23575451 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 13110 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((8 - 12) + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 3*w - 5*i - 7, 5*w - 15 = 4*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -157, -149, -131, -103, -65?\n\"Answer: 5*r**2 - 7*r - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - 2*l**2 + 3. Let f be d(-2). Suppose 11*v = 10*v + 3*m + f, 3*v - 3*m = 27. Calculate the remainder when -2 + 1 - (-15 + 1) is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114549808 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {d: 1, s: 5, r: 2, t: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47\/250 + 671\/1750. Find y such that 0 - 20\/7*y - 16\/7*y**2 + v*y**3 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 445 and 4815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 158*u**2 - 133*u**2 - 13*u + 13*u + 5 + 0 in the form b*u + m*u**2 + i and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnactuh. What is prob of sequence cu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 5 + (-2 + 1 - 1)*(-2 + 1 + 2) - 1 + 0 + 3)*(-u - 1 + 1 + (1 - 2 + 0)*(-u + u - u) + 3*u - u - 4*u + 20 - 6*u - 20) as s*u + k and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*(-56)\/91.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/(-22*150\/27500)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -6. Let p = z - -11. Suppose p*j = j + 27. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 2:47 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151400331?\nAnswer: 3, 41, 410299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/63)\/((-28)\/6)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.66? (a) -3 (b) -392 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 7 + 14)*(3*f + f - 2*f)*(-6 + 0 + 4).\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 - a**3 + 4*a**2 - 5*a**3 - 5*a - 5*a**2 in the form q*a**3 + n*a**2 + y + w*a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1555732*h**2*k**2 + 2*h**2 + 412*h*k**2 - 3*h*k - 2*h + 5*k**2 + 2*k wrt h?\nAnswer: -3111464*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*p + 18*p - 2*v + 408, 4*p - 396 = v. What is the highest common divisor of 2050 and p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-24)*c*c*c\/(c*c*(c\/((c**(2\/7)*c)\/c)*c)\/c)*c*(c**(-13)\/c*c)\/(c\/(c**23\/c)) assuming c is positive.\nAnswer: c**(-103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 344*v**3 + 18425*v**2 + 18768*v.\nAnswer: -v*(v - 48)*(v + 1)*(v + 391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 160?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 10 + 2*a - 8 - 3.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104.6*-3832.8.\nAnswer: 400910.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 17*x**3 - 4*x + 6. Let f(q) = -50*q**3 + 11*q - 17. Let g(j) = 4*f(j) + 11*t(j). What is the derivative of g(a) wrt a?\nAnswer: -39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -16*x + 1. Calculate q(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 0.5. Let f = 91.3 - 91. Which is the closest to f? (a) 0.5 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let y(b) = 0*b**2 - 4 + 11*b**2 + 4. Give y(n(x)).\nAnswer: 11*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -106312540 (base 7) in base 4?\nAnswer: -120320320330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {j: 6, f: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.2. Let y = 4 + -2. Suppose -4 = -j + 1. Which is the second biggest value? (a) j (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 18. Let p = q + 0.1. Sort -4\/5, p, -0.5 in descending order.\nAnswer: p, -0.5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3232189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1505300 is divided by 79224?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + 0.68. Let p = 0.749 + -0.133. Let b = k - p. What is b rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, n: 13}. Give prob of picking 3 n.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 74*o**2 - 4390*o - 29. Calculate q(59).\nAnswer: -1445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2879.0988 months to years.\nAnswer: 239.9249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*r - 13 - 4, -u - 3*r = 9. What are the prime factors of (u*23)\/(-7 + 10 + -4)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 5 - (-1056)\/198. Factor -1\/3*r**2 + 1\/3*r**3 + 1\/3*r**4 - i*r**5 + 0 + 0*r.\nAnswer: -r**2*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*n + 15, 3*n + 37 = -3*j + 115 - 35 - 46 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 6:28 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-8 - (4 - 15 - -8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1304 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 454882 and 23786298.\nAnswer: 5758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6953530 + 62656850\/9. Let v = -8352 + x. Let y = 10 + v. Is y less than 2.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -6*t + 253. Calculate the remainder when t is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)\/(1*sqrt(6)))\/(sqrt(108)\/sqrt(2)))\/(-2*(sqrt(484) + -6*(sqrt(484)*1 + sqrt(484)))).\nAnswer: sqrt(2)\/726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 477 by 6.\nAnswer: 159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d**2 - d**2 + 2*d**2. Let u(x) be the first derivative of 335 + 0*x**2 - 4\/3*x**3 + 0*x. Calculate r(u(w)).\nAnswer: -80*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274322 - -461322. Round i to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-30)*(-6)\/10 - (-350)\/1500?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13903, -28041, -42179, -56317, -70455, -84593?\n\"Answer: -14138*n + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.21783 micrograms in grams?\nAnswer: 0.00001021783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 less than 1.3301?\nAnswer: 29.3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15761996?\nAnswer: 2, 3940499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -42 and -12201350?\nAnswer: 12201308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 25*x - x**3 - 35*x - 2*x**2 - 5 - 4*x**2 - 3. Let f be i(-4). Suppose 4*c = -6 + 2, f = 4*m + 2*c - 114. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 22*f - 72. Let l be m(12). Solve 203*b - l*b + 57*b**2 - 30 - 2*b**2 = 0.\nAnswer: -3, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 112\/22 - (-11 - (-1098)\/99). Solve 0*p + 4*p**3 + 8\/7*p**4 - 8\/7*p**2 + 0 - 4*p**m = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417596055?\nAnswer: 5, 31, 9145781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 27329?\nAnswer: 54658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**4\/8 - q**3\/6 - 11*q**2\/2 + 20*q + 167. Solve d(k) = 0.\nAnswer: -5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/18 and -37\/336?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 8*r**2)*(-2*r + 3*r + 3*r) in the form f + v*r**3 + l*r + g*r**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*4.868717.\nAnswer: 1.4606151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1231*y**2*z**3 + 2219*y**2*z**2 - 283*y*z**3 - 50*y*z + 4*y - z**3 + 2 wrt y?\nAnswer: 2462*z**3 + 4438*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -108*x**2 + 5516*x - 408 = 0?\nAnswer: 2\/27, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/12288 and -79\/2730456?\nAnswer: 1397993472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.04801?\nAnswer: 0.024005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51091023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.1 - -4.1. Sort t, -5, 0.3.\nAnswer: t, -5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 64. What is the remainder when 24 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 37*j**2 + 36*j + 3. Let i be q(36). Let a be (64 + -15)*i\/(-14)*-8. Calculate the highest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 6*k**2 - 7*k - 6. What is the tens digit of w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/i)\/i)**(-6\/19) assuming i is positive.\nAnswer: i**(18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4619*f**2 + 5865*f**2 + 0 - 4329*f**2 as v + h*f + w*f**2 and give w.\nAnswer: -3083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/59280 and 41\/34460452.\nAnswer: 2067627120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2555 - -4627. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 808869 to the power of 1\/2, to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 22*o + 374. Determine c(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*b**3 + 64*b**3 + b**2 - b**2.\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h**2 - 102*h - 66. Let d be v(11). Solve 371*m = 338*m - d for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -328 smaller than -330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 + (6 + (21 - 11) - 11) + -5 + 2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*v + 1 = 23, 4*i = -v + 35. Let p(j) = 13*j**2 + 1. Calculate the remainder when p(-1) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30289, 30285, 30279, 30271, 30261?\n\"Answer: -w**2 - w + 30291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(-5*sqrt(4)*-3) + ((sqrt(576) + sqrt(16) - sqrt(16))\/sqrt(4))\/sqrt(2).\nAnswer: 91*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 450*h - 3676*h - 466 + 466 as z + p*h and give p.\nAnswer: -3226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g**2 - 4*g - g + (5*g + 2*g - g)*(4*g - 2*g - 4*g))*(0*g**3 + 4*g**3 - 2*g**3).\nAnswer: -20*g**5 - 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 33. Let b = -13 - f. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 3 - 9*v**2 - 2 - 2 - v**3. Suppose -5*p - 46 = -1. What is the remainder when 21 is divided by f(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -990, -14 in descending order.\nAnswer: 7, -14, -990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50091850, -100183691, -150275532, -200367373, -250459214, -300551055?\n\"Answer: -50091841*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-52))\/((-4)\/((-2)\/(-1))*42\/672)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 179*y**2 - 378*y**2 + 189*y**2.\nAnswer: -10*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5240128, -5240099, -5240020, -5239867, -5239616, -5239243, -5238724, -5238035?\nAnswer: -5237152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6041 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 + (4 + -2)*-2 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 11*y + 121 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 18*v + 2115. Does 3 divide z(73)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1051806 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1904278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2278 and 402.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15388010 or -15388007?\nAnswer: -15388007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:32 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9267, 5, -2 in decreasing order.\nAnswer: 9267, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (15\/9)\/((-1665)\/(-3774))\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 427 + -421. What is the hundreds digit of o\/(-33) - (-2)\/(-22)*-9429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2041, -2056, -2087, -2140, -2221, -2336, -2491, -2692?\nAnswer: -2945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:00 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -229 + 128*m + 131*m - 402*m + 138*m. Give k(-45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = t + 4*d + 3, t - d = 7. Let w = 16 - 7. Suppose -2*j + w + 7 = 0. What is the least common multiple of j and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/(-12)*1668\/(-33). Let z = -1404\/11 - w. Calculate the common denominator of z and 90\/(-10) + (-42)\/(-4) - 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + r + 18. Let x = 14 - 8. Let y = x + -6. Let m be v(y). Solve -4*k - 6*g - m = -4*g, -21 = 4*k + 3*g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 39*o - 792. What is the remainder when (8\/12)\/(1\/180) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -59*g + 332 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 3*i - 15, 0*i + 4*i = 2*r + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -362?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 1. Let i(z) = z - 5*z - 5 - 2*z. Let m be (-7)\/(-4)*6\/7*2. What is m*i(d) + 15*r(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 40, 0.4 in increasing order.\nAnswer: -5\/3, 0.4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/5)*v)\/v**14 assuming v is positive.\nAnswer: v**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22232808 is divided by 5219?\nAnswer: 5087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - -152. What are the prime factors of a?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) -6\/13 (c) -6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -23\/11 (b) 2\/11 (c) -1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50870, 203440, 457724, 813722, 1271434, 1830860, 2492000?\nAnswer: 3254854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:38 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -51 (c) -7 (d) 2 (e) -5 (f) -9\/11 (g) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 divided by -5?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1596)\/56)\/(-57)*-50*1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1070*s**5\/13 + 86664*s**4\/13 - 1599066*s**3\/13 - 5537916*s**2\/13 + 31104*s\/13 = 0.\nAnswer: -96, -3, 0, 3\/535, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19211 divided by 1.\nAnswer: 19211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2358865?\nAnswer: 5, 673, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*2 + sqrt(133))*6 - sqrt(133) - sqrt(133))\/sqrt(7) + 5 + 0.\nAnswer: 5 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3178394*a**2*d**3 - 31*a**2*d**2 - 60*a**2*d + 23*a**2 - 6*a*d**3 + 2*a*d**2 + d**3 - d**2 - 12*d wrt d?\nAnswer: -19070364*a**2 - 36*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -13*n - 306. Let v(z) = -3*z - 77. Let g = 840 + -849. Let o(j) = g*v(j) + 2*l(j). Let c(i) = i**2. Give c(o(t)).\nAnswer: t**2 + 162*t + 6561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*m + 139 = 27 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 23*l**2 - 5*l. Let s(j) = 22*j**2 - 6*j. Determine 4*s(q) - 5*v(q).\nAnswer: -27*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28, -4874 in descending order.\nAnswer: -1, -28, -4874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-28) + (-35)\/28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18000 is divided by 461.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-70)*150\/1980.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 3. Let l(z) = -13*z + 13. Let j = 26 - 44. Give j*g(d) - 4*l(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2113951 divided by -301993?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223020 (base 5) to base 12.\nAnswer: 4691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 + 139 - 49)*(13*a + 99 - 99)*(0 - 2 + 4) to q + u*a and give u.\nAnswer: 1612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8\/7)\/d)**3 assuming d is positive.\nAnswer: d**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.857452 rounded to two dps?\nAnswer: 67.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000572929 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221249726?\nAnswer: 2, 109, 1014907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23542445.6 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -100, 3, 0, -123, -1 in descending order.\nAnswer: 3, 2, 1, 0, -1, -100, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 2*d + 2*d**3 + 1 + 2*d**2 + 3*d + 4 to the form l*d**2 + f*d**3 + x + n*d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3058*d = 3055*d - 39 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184543672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kakk when four letters picked without replacement from {a: 8, k: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410104?\nAnswer: 2, 51263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-70) + 4\/20. Suppose -4*o = -5*s + 12 + 39, 2*s = -o - 3. Sort 0.5, d, o in descending order.\nAnswer: 0.5, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-1)*(-33)\/(-44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 12*l - 12. Which is the third biggest value? (a) l (b) -54 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/30 - 5*m**4\/24 - 5*m**3\/6 + 4*m**2 - 16*m. Determine b(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + t - 3*t + (1 + 2 - 1)*(-t + 4 - 4) - 3*t + 3*t + t - t - 5*t + 4*t + (-2 + 3*t + 2)*(2 + 3 - 7).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1.3 (c) -5.7 (d) -0.2 (e) 2\/17 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -51.6. Let k = i + 3.1. Let q = k - 0.7. Round q to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(11\/7)\/i**(3\/11))\/(i**(7\/5))**(8\/17) assuming i is positive.\nAnswer: i**(4188\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*s - 7, 2*a = 6*s - s - 25. Suppose 0*d - 5*d + 21 = -t, -t - 13 = -s*d. Suppose 27 = d*k - 5. Calculate the remainder when 14 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44280 and 4590?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. Suppose 0 = -6*k + m*k + 10. Find the third derivative of 3*o**4 + k*o**3 - 5*o**3 + 5*o**2 - o**2 wrt o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2\/5 (c) -37 (d) -2\/19 (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 311071561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*y - 136, -12 - 22 = -p - 4*y. What is the least common multiple of p and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(522\/(-1305)*10\/72)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 - 9*d**2 + 45*d - 350. Let a be x(7). Solve 0 = -a*q + 559*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2696297 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 10*a**4 - 2*a**3 - 4 + 0 - a to c + f*a + j*a**2 + o*a**3 + n*a**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -6*c + 29 + 35, 5*c + 771*t - 776*t = 150 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -348, 805, 5, 1 in increasing order.\nAnswer: -348, -5, -3, 1, 5, 805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 8*v = 5*u - 5, -4*u = -5*v + 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 8*u**2 - 10*u - 3. Let d be r(-9). Let f(g) = 1 - 7 - d + 6*g. What are the prime factors of f(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**5 - 159525060*d**4 - 1272412238400180*d**3 = 0.\nAnswer: -15952506, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 47 + 5*p**4)*(2 + 4*p - 3*p - 2*p).\nAnswer: -5*p**5 + 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1047111816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -2.3. Let m = k - 3.9. Round m to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -31. Suppose p + 20 = 4*q. Suppose 0 = 3*w - q - 12. Solve -h - w = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1672\/32)\/(0 - 1\/(-4)). Let u = j - 73. Does 25 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/21*(-840)\/72?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 12*i + 1 - 2)*(4*i**3 - 4*i**3 + 2*i**3).\nAnswer: 24*i**4 + 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -3\/5, -0.033, 0.5, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and -4.52?\nAnswer: 7.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b91 - -338?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502 is divided by 171.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5524, 5596, 5714, 5878?\n\"Answer: 23*a**2 + 3*a + 5498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1268903 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**4\/8 - 4*u**2. Let i(o) be the second derivative of -2*o**3\/3 + 3*o. Give i(b(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.19629 + -0.19629. Which is the closest to -80\/39? (a) 3 (b) g (c) -5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 times -234\nAnswer: -11466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -194, 115, 932, 2251, 4066?\n\"Answer: -k**3 + 260*k**2 - 464*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m - 7*m - 4*m)*(10*m**2 - m**2 - 4*m + 4*m) to the form s + x*m**3 + g*m + y*m**2 and give x.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 3. Let u(s) = s + 10. Let m be u(-11). Let x be k(m). Solve 2*l - 10 = -0*l + 5*q, -8 = x*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*5*-4*((0 + sqrt(68))*-3 + sqrt(68) - sqrt(68)) + -3 + 0)**2.\nAnswer: -7680*sqrt(17) + 3916864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*t + 27 + 44, 3*t = -6. Suppose -s + 46 = 4*s - o, 5*s = -o + 54. Calculate the highest common factor of n and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*o - 2727 + 2441 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3180 + 3180 + 94*m - 3*m + 5*m - m + (2*m + 0 + 0)*(1 - 1 + 2))*(4 + 0 - 3).\nAnswer: 99*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/9? (a) -25\/2 (b) -2\/3 (c) 1\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-2)\/(-4))*(8 - 6). Let m = 55 - 7. Calculate the highest common factor of m and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/13 at most 4323658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 77476423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 4*q + q)*(3 - 1 - 1)*(5*q - 6*q + 4*q)*(3 - 3 - 2*q) + 6*q - 4*q**3 - 6*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28187? (a) -0.1 (b) -0.3 (c) -3\/8 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36052732.\nAnswer: 2, 1321, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1717 and 680?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2444.0066 to zero decimal places.\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 17*j + 32. Let r be y(18). Is (-8 + r\/(-4))\/(1\/(-146)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - a**3 + 638*a**2 + 4*a**2 + 348*a**2 + 3.\nAnswer: -a**3 + 990*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + i = -821, -7*i - 1024 = -5*p - 8*i. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.359*321.\nAnswer: 115.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19387 or 55949?\nAnswer: 19387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 16. What is h(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 235*f**3 - f**2 + f + 1. Let m be h(-1). Let j = 260 + m. Calculate the highest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -674041256, -674041255, -674041254, -674041253, -674041252, -674041251?\nAnswer: -674041250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 8*x + 2523 = 5*u, 2037 = 4*u + 3*x. Calculate the greatest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {p: 1, f: 2, m: 5, s: 1, x: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 556 and 8201.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from jojoooojoo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 32*x - 14*x. Calculate the lowest common multiple of x and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164635.116 rounded to the nearest 1000?\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 c when three letters picked without replacement from uvmnmcuvmnmj.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31801, 32450, 33099, 33748?\nAnswer: 34397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415756*w - 1624 = 415872*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 5171, 0.5, -74 in ascending order.\nAnswer: -74, -13, 0.5, 5171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 884480658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 35. Is l greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2\/23 (b) 8 (c) -0.3 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-6) + (-63)\/(-6). Suppose 0*i + z = 3*i. Let k(p) = 2*p**3 - 3. Suppose -3*t - 2*t - 20 = 0. Let s(b) = 3*b**3 - 4. Calculate i*s(r) + t*k(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 50*f - 1996 - 1172 = 0 for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1.7, 2, 21, -470?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*((-605)\/60 + 10). Suppose -t - 1\/8*c + 1\/8*c**2 = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 11. Suppose 2*k + s*k - 10 = 0. Suppose 19 = 5*d + k*n - 46, 3*d - 19 = n. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7783437 millimeters to meters.\nAnswer: 0.0007783437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 34 = -4879*s + 4878*s, -5*d + 5*s - 50 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -31604.\nAnswer: 3\/31604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from gggggggggggggggggvv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644737?\nAnswer: 433, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515391171 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112012221112 + -110?\nAnswer: 112012221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 353, 0, -2\/7, -0.5, -2, 10.\nAnswer: -5, -2, -0.5, -2\/7, 0, 10, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*s + 182*s + 22 + 48 = 0. Let l(r) = r**3 - 6*r**2 - 2*r**3 + 0 - 6 + 5*r. Determine l(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3741025.\nAnswer: 5, 151, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*q + 53*q - 12*q to p + h*q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -465, -931, -1397, -1863, -2329?\n\"Answer: -466*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4756340?\nAnswer: 2, 5, 163, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/5 - 8*l**3 + 288*l**2\/5 - 896*l\/5 + 1024\/5.\nAnswer: 2*(l - 8)*(l - 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/25, -12.9, -246, 5?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/29? (a) 13 (b) -1\/6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-620)\/80*(2 + -1 + (-10)\/2). Solve -11*k + z*k + 120 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5)\/m)**(-16))**48\/((((m*m**(-1\/7))\/m)\/m**(-1\/2))\/(m**(-6\/5)*m*m**(-4\/9)\/m)) assuming m is positive.\nAnswer: m**(135223\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 8*r**2 + 3*r - 5. Determine a(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -137*s**3 - 8*s**2 + 8*s + 12. Let h(x) = 2*x**3 + x**2 + x - 2. What is -6*h(b) - z(b)?\nAnswer: 125*b**3 + 2*b**2 - 14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/21)\/k*k*k*k*k)**(-25\/2) assuming k is positive.\nAnswer: k**(-1475\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 5:15 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2267860720 + 4?\nAnswer: 2267860724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -504*n**2 - 1066*n wrt n?\nAnswer: -1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*k + 36. What is the highest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + ((sqrt(114)*3 + sqrt(114))*1 - sqrt(114))))\/sqrt(3))\/(sqrt(56)\/sqrt(7) + (sqrt(98) - (sqrt(98) + -2*sqrt(98)))).\nAnswer: -3*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**11*c*c*c*c**(-6)*c)\/(((c**(-15\/4)\/c)\/c)\/((c*c\/((c*c**(-14)*c*c)\/c))\/c)) assuming c is positive.\nAnswer: c**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 6*o - 9. Calculate f(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6396d8 (base 14) to base 8.\nAnswer: 14662476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84394875 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (132\/10)\/(12\/30). Suppose 3*w - t - 19 = 0, 0 = 4*w + w - 3*t - l. Suppose 0 = 3*f + w, -4*f - 18 = -2*h - 3*h. Solve -h*k - 2*k + 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4514 or 4513?\nAnswer: 4514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3 - 2 + b + 0 - 2*b. Let m be r(0). Let z(v) = -1 + 125*v**2 + 123*v**2 - 251*v**2. Give z(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-1))**17)**(-2\/11))**(-29))**(1\/12) assuming s is positive.\nAnswer: s**(-493\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -32 + 42. Suppose 2*l = -2*l - 12, -h + i*l = -8. Suppose 0 = -u - 3*t + 1134, h*u + 2*t - 1129 = u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-3) - (-5)\/(35\/(-7)). Solve 4*o = -0*b + h*b + 10, -5*o + 19 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/4 + 12253*t\/4 - 17809965\/2 = 0. What is t?\nAnswer: 4743, 7510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - t + 1. Let a(i) = -i**3 + 21*i**2 - 7*i + 8. Let v(n) = -a(n) + 6*k(n). Give v(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/28 and ((-54)\/(-840))\/((-15)\/310).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 3*l**2 + l + 5. Let s be y(3). Find the common denominator of 34\/s + -1 + (1 - 3) and 33\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**3*l**3 - 464*k**3*l - k**3 + 30739*k**2*l + l**3 wrt k?\nAnswer: 18*l**3 - 2784*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1789068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/5)*q*q*q*q**(-25) assuming q is positive.\nAnswer: q**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.732 - -0.262. Let x = -1.518 - g. What is x rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 4 (c) 0.4 (d) 23618\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 200, 299, 398?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5092.104681 to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:18 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) + 4963\/(-10). Let g be ((-2)\/(-6))\/(210\/308709). Let l = h + g. Calculate the common denominator of -81\/8 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 572200?\nAnswer: 572203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(78) + sqrt(78)*-1*-2)\/(sqrt(48)\/(sqrt(8) - (sqrt(200) + (sqrt(200) - (sqrt(200) + -2*sqrt(200))))))*-2.\nAnswer: -56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13394*k - 2. Let m(v) = -921*v. Give b(m(s)).\nAnswer: 12335874*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 868. Suppose -2*l = -m - 1251. What are the prime factors of l?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*s + 2*d, -5*s = 3*d + 3 - 28. Let b be (-30)\/2*(11\/(-5) + 2). Suppose b*q = -5*h - 6, -3*q + 1 = s*h + 7. Solve 3*n - 12 = -h*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 167*z - 5720. Let r be b(36). Sort 0.2, r, 0.1, 5 in descending order.\nAnswer: r, 5, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/35 + 32\/105. What is the third biggest value in 0.3, -2, o, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 23\/3, 9, 107, 2 in increasing order.\nAnswer: -0.3, 2, 23\/3, 9, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 10 + 5. Suppose -3*p - h*c = -12, -3*c + 2 = -p - p. What is the third derivative of -2*v**2 - v**4 + v**2 + 2*v**4 + p*v**2 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.97538 kilometers to nanometers.\nAnswer: 10975380000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3584*b + 116 = -3588*b - 3*a, 5*a = -b - 165 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/42)\/(11\/(660\/(-8)))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w - 11 = -3*y, 5*w = -y + 27. What is the common denominator of 17\/13 and 43164\/2448 + y\/17?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d**3 + 14*d**2 - 16*d + 74. What is the units digit of w(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/65 - -151\/1365. Let i = -52 - -47. Let c = 12 + -14. Sort c, g, i, -3 in increasing order.\nAnswer: i, -3, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.1*-0.487597.\nAnswer: 1.9991477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 82 = -2*x. Suppose x = 4*a - 5*z, -5*z - 7 - 38 = -5*a. Solve 0*v = a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33907\/4 - 8415. Let x = -62 + z. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*h + 6*h = -3457, -5*h + 2792 = 4*o. List the prime factors of o.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*d - 7*d - 10, -10 = 2*a + 4*d. Let k(m) be the first derivative of m**2 - 2*m - 106. Let j be k(a). Solve -p - p = -j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/30, 2, 2\/15, -1\/7, 2\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 + 2*v**2 - 2*v + 7. Let s be d(3). What is the greatest common divisor of s and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448547 to the power of 1\/2, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -2 (b) -85 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-2)*88\/66. Let o = u + -6. Suppose y - 67 + 2 = o. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 446428411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 96*c + 1227. What is d(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (24 - -42) + -10 - (20 + 0)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 145\/(-15) - (-4)\/3. Let o be (g\/10)\/((-14)\/(-70)). Factor 0 + 3\/7*z**o + 27\/7*z**2 + 0*z + 18\/7*z**3.\nAnswer: 3*z**2*(z + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - l + 12 = -0*t, -4*l = 3*t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*y - 37 = -11, 34 = -3*z + 5*y. Let q = z - -38\/5. Put q, 4, 0.06 in descending order.\nAnswer: 4, 0.06, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**3\/3 - 22*z**2 + 5*z - 173. Let s be 92\/(-6)*3\/(-2). Let g be w(s). Which is the nearest to 1? (a) g (b) -0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118722491?\nAnswer: 29, 53, 77243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.77643 rounded to zero dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95648*h*l**4 + 26*h*l - 4*h + 6*l - 334 wrt l?\nAnswer: -1147776*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, n: 3, e: 2, j: 5, o: 3}. Give prob of sequence nenj.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 942*m + 27568 = -345*m + 30172 - 155757 for m.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 40 = 8*y. Let r be (y\/(-21))\/((-4)\/6). Let t = -0.45 + 0.05. Which is the closest to t? (a) 4 (b) r (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 10:58 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/10)*p*p**(-39))\/(p*p*p**9*p**8\/p) assuming p is positive.\nAnswer: p**(-557\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**1\/r)\/r)\/r*r)**(3\/20)\/(r*r**(-1\/4)*r**(-4\/7)) assuming r is positive.\nAnswer: r**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1195, 1237, 1279, 1321, 1363?\n\"Answer: 42*r + 1153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n + 6*n + 3*b - 55, 4*b = 0. What is the common denominator of n\/(-27)*5 - 1 and ((-298)\/60)\/((-30)\/75)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*t**3 + 6569977*t**2 - 125491660*t?\nAnswer: 78*t + 13139954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*r**3 - 24*r**3 + 245*r**3.\nAnswer: 314*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 4*o**2 - 3*o. Let x be g(-4). Suppose -5*w = l + x, -l + 4*w = w - 4. What is the units digit of (l*3)\/((-15)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9129395, -9129389, -9129379, -9129365, -9129347, -9129325, -9129299?\nAnswer: -9129269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - a + 13 = 0, 0 = -2*o + 5*o + 5*a + 27. Let v be o\/(-10) + (-3)\/(-5). What is the units digit of (2\/6)\/(v\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + j**3 + (-5 + 5 + 4*j)*(-3*j**2 - 19 + 19) - 411*j**3 + 140 + 413*j**3 + 31)*(0*j + j + 0*j).\nAnswer: -9*j**4 + 171*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1817.335 years to decades.\nAnswer: 181.7335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.5 + -16. Let r = -0.8 - 0.2. Which is the closest to r? (a) s (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 208*y**2 + 790*y - 1000.\nAnswer: 2*(y - 1)*(y + 5)*(y + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 + 4*h**2 - 3*h**2)*(482*h - 134*h + 127*h)*(-2*h - 2*h + 5*h) to n + q*h**2 + d*h**3 + u*h**4 + o*h and give u.\nAnswer: 1425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -u - 0 - 1, 0 = 3*w - 15. Suppose -2*o + 0*a - 2*a = -64, -5*o + 4*a + 124 = 0. Solve u*m - 5*q = o, 2*q = 3*m + 3*q - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 220*p**2 - 47*p + 36. Is n(-23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from gffgqgg?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291*a - 2968 + 2968)*(-a**3 + 3 - 3 - 2*a**3 - a**3 + 0*a**3 + (-4*a**2 + 2*a**2 + 0*a**2)*(2*a + 3 - 3) - 4*a**3 + 0*a**3 + 2*a**3).\nAnswer: -2910*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6785*p**3 - 4*p**2 + 2. Let n be a(2). Let u = n + -10266. What is u rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**4\/6 + 4*f**3\/3 + 4*f**2 - 7*f. Factor m(w).\nAnswer: 2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 632062 + -5056493\/8. Let x be (7\/(-3))\/(3\/54). Let m be (-33)\/x - 2\/4. Which is the closest to 17? (a) m (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y = -6. Suppose 1056 = 4*f + 3*l + l, y*f + 4*l = 522. Let m = 416 - f. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350.564242 rounded to 0 decimal places?\nAnswer: -1351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 20*j**2 + 16*j + 20. Let k be i(-14). Suppose -6*b - 6*b + k = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*f + 277*f = 3480. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((((-30)\/(-6))\/(-5))\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -18*t**2 + t + 12. What is the remainder when u(-6) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71892647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 10 - 1) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 299125.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -21*t - 60. Let k(x) = -x - 15. Let s(f) = 4*k(f) - m(f). Let b(a) = -27*a. Give s(b(r)).\nAnswer: -459*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-20 - 8*h + 20) + (-1 + 2*h + 1)*(-1 + 5 - 2).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*y - 77*y + 87*y - 107*y + 73*y.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zozz when four letters picked without replacement from oozxxozooxxxxzzox.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1323 + 1198 = 0. Solve -5*a = -a, 5*t = -a - r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*y + 49, -3*s = 2*s - 4*y - 51. Suppose -t + 33 = s. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -331362090 to the nearest 100000.\nAnswer: -331400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*r + 3*r - 2*h, r + 4*h = 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a9 (base 15) in base 2?\nAnswer: 11011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41692 is divided by 10419?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 284, 407, 528, 647, 764?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -490681710 divided by 320707.\nAnswer: -1530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + -3 + 1 + sqrt(1539) + sqrt(1539) + (1*(0 + -1*sqrt(1539)))**2*2.\nAnswer: 18*sqrt(19) + 3070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592 = -9185*d + 9148*d. Suppose -3*q + 640 = -2*q - 2*f, 0 = 4*q - f - 2525. Suppose 2122 = d*o - q. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 6*i + 2. Let u be l(-3). Calculate the greatest common divisor of 33 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 n when four letters picked without replacement from caacagnnnanac.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/67730 and -113\/31260.\nAnswer: 406380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*c - 78*c = 60. Suppose -2*m - 3*q + 77 = -2*q, -3*m = -q - 123. Calculate the greatest common factor of c and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4 = -5. Let z(q) = -2 + q**h - 2 + 1. Let m(f) = -1. Let c(j) = -m(j) + z(j). Differentiate c(s) wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 5. Let u be 8\/4 - 75\/b. Calculate the highest common factor of 81 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 + 4*c**2 - 8*c - 21. Calculate the smallest common multiple of 153 and l(3).\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1546, -6182, -13910, -24730, -38642, -55646, -75742?\nAnswer: -98930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - -4. What is the second biggest value in -11\/5, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 30.4. Let s = 27 + -24. Let t = d - s. Sort 2\/11, t, -2 in decreasing order.\nAnswer: t, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 152800 = 11*j. What is j rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 19. Let m(v) = 16*v + 94. Determine -11*f(n) + 2*m(n).\nAnswer: -n - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*j - 855*j = -395*j - 799 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**4\/2 - 4347*v**3 - 3782745*v**2\/2 - 1499894*v + 4530966 = 0. Calculate v.\nAnswer: -869, -2, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141558 is divided by 1522.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -10 + 2. Let v = 8 + h. Suppose 0 = -8*d + 3*d + 20. Solve 2*c + 26 = -d*t, -3*c = -3*t - 2 - v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88976.85 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 20 = -a. Let t(v) = v**2 - 3*v + 2. Determine t(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -251 - 248 + 499 + 355*w**2 to the form p*w**2 + h + f*w and give p.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, g: 4, v: 2, j: 4, n: 2, h: 7}. What is prob of picking 2 j, 1 v, and 1 n?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 38*k**2 - 82*k + 84. What is m(40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -245.6 + 246. What is the third smallest value in -6, -3, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216566 (base 7) to base 11\nAnswer: 26909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185562029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/33)*a\/(a**(-2\/23)\/a))\/((a*a**(1\/29))\/(a**(-14)*a)) assuming a is positive.\nAnswer: a**(-260309\/22011)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 510929603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 71*h + 253. Let g be z(70). Which is greater: 1608\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.242152?\nAnswer: -1.21076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 645972 + -645973.900234. Let h = 1.9 + m. Round h to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + sqrt(637) - sqrt(637)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38962316670782 + -38962319324908.7629863. Let a = 2654127 + x. Let w = a + -0.237. Round w to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-10)*w*w**(-15)*w\/w**(3\/10)*(w\/(w*w\/(w*w**(-8)\/w*w))*w)\/w*w*w*w assuming w is positive.\nAnswer: w**(-283\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 237*u**4\/4 + 14*u**3\/3 + 5*u**2 - 351*u - 6840. What is the second derivative of a(g) wrt g?\nAnswer: 1422*g + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 25 - 186)*(-17*s**3 + 18*s**3 - 12*s**3).\nAnswer: 1507*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2777286 + 5?\nAnswer: 2777291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n - 8. Let h(b) = -8*b + 4. Give 2*a(u) + 5*h(u).\nAnswer: -10*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3014 and 0.8.\nAnswer: 2411.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -150*s + 12. Is i(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/24*-386 + 4. Let r = c + 60. What is the second smallest value in 5\/4, r, 4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/x*x\/(x**(-2\/15)\/x)*((x\/((x*x\/x**(-2\/7))\/x))\/x)\/x**(-2\/7) assuming x is positive.\nAnswer: x**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 430*u**2 + 55084*u + 5616. Determine x(-128).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/19 + 36*s**2\/19.\nAnswer: 2*s**2*(s + 18)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -221\/3. Let y = 0.2 + 0.1. Let o = y + -0.4. What is the nearest to a in 4, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1125, -1002, -755, -384, 111, 730?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2) + -3 + (sqrt(2) - 1*sqrt(2)) + 1 - (sqrt(72) - (2*sqrt(72) + 0 + sqrt(72)))**2)*-1.\nAnswer: -sqrt(2) + 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a + 1. Let i be d(1). Suppose 0*q + 221 = i*q + 2*t, 0 = q + t - 43. Is 34 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + v)*(3*v**2 - 3*v**2 + v**4) - 3*v**5 + 4*v**5 - 2*v**5 - v**5 + 2*v**5 + 0*v**5 + 2*v - 2*v + 2*v**5.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = -k + 7*g, 4*k = 2*g - 8. Let j = 4.9583 - -0.0417. Let s = 0.23 + 0.07. Which is the nearest to 2\/5? (a) s (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 26)*1\/(-2). Let b be (-28)\/266 + (-64780)\/95. Let d = b - -1337\/2. Which is smaller: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18151 + -18148. Solve -o + 21 - 17 = -2*n, -s*n + 2*o - 7 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3206 and 742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/((-8)\/(-24)). Let j be (-3)\/(-8)*r*-4. Solve -5*g - n = -j, -2*n + 5 + 1 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/21 (b) -41307 (c) 4 (d) -0.5 (e) -2\/7 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5, -i = -5*c + i - 60. Let b be c\/(-6) + (-2)\/6. Solve -12*w - 3*w**2 - b - 7 + 0 = 0 for w.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (8 + (-1547)\/130)\/(15\/8)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30148371 and 2835270?\nAnswer: 904451130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(15)\/sqrt(3)*-3).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - m + 2*m - m**3 + 6 - 2*m**3. Suppose -2*u - 10 = -5*i, -2*i + 19 - 34 = 3*u. Calculate v(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 40 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5637\/10 + -563. Is s bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.3. Let s be (0 + (-4)\/56)*4. Sort t, s, -0.2 in decreasing order.\nAnswer: t, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72? (a) -2\/5 (b) 4 (c) -1 (d) 9 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9*b\/b**(-5\/3))\/(b\/((b**(-3\/2)*b)\/b))**(-36) assuming b is positive.\nAnswer: b**(305\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 774584797 to the power of 1\/2, to the nearest integer?\nAnswer: 27831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-32))\/((-462)\/616)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -21.8885\nAnswer: -16.8885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231838759*l**2 + 101035*l + 25 wrt l?\nAnswer: 463677518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 5107\nAnswer: -1021.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192920 + -3278363\/17. Suppose -5*u - 2*r = r - 387, 4*r = -4*u + 316. Let l = i - u. What is the third smallest value in l, -2\/9, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, c: 3, t: 3, n: 1, u: 3, z: 1}. What is prob of picking 1 u, 1 z, and 2 f?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -85902 divided by -2\nAnswer: 42951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(700) + -6*(sqrt(700) - (sqrt(700) + 0)) + (sqrt(700) + 1)*-4)*-6 + 3)*-5 + -3)**2.\nAnswer: 248400*sqrt(7) + 5689044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 57. Suppose 4*v - 21 = w. Suppose -64 = -3*o + x, 0*o - 52 = -3*o - 2*x. Calculate the remainder when o is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58 - 4632?\nAnswer: -4690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:35 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1656043?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 112515214 to the power of 1\/3, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 472169836 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 53, 5.\nAnswer: 0, 1, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 274\/90915 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -536302*-0.01.\nAnswer: 5363.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k**3 - 22*k**2 - 8*k + 21. Let t(q) = -q**3 - 2*q + 1. Let m(s) = -b(s) - 8*t(s). Determine m(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 32*n - 251. Let l be x(-17). Solve 5*k - 9 = -4*m, 3*m - l*m + 3 = 2*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from kepbbkkkddkzzdd?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 22*b + 2. Let t be f(-11). Solve 5*i - 2*d = 35, -t*d = 3*d + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 653*c**3 + 8*c**2 - 406*c - 24. Let w(i) = 218*i**3 + 3*i**2 - 135*i - 9. Let a(s) = 8*w(s) - 3*x(s). Find the second derivative of a(j) wrt j.\nAnswer: -1290*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t. Let q(g) = 121414*g. Give r(q(v)).\nAnswer: 364242*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2122241670\/5767 - 13966772943736\/4181075. Let b = 2972476 + q. Let i = 16\/29 + b. Sort -5\/2, 3, i in descending order.\nAnswer: 3, i, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.3, -13, -5\/8, -0.5, 66?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 517*q - 14192. Give h(27).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2238865599, 2238865603, 2238865609, 2238865617, 2238865627, 2238865639, 2238865653?\n\"Answer: m**2 + m + 2238865597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f**3 + 14*f**2 - 26*f. Let p be 2*11*(-1)\/(-2). Let i(s) = s**3 + 3*s**2 - 5*s. Let d(q) = p*i(q) - 2*r(q). What is the units digit of d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 249 and 2543.\nAnswer: 633207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*o - 103. Let q = o + 18. Suppose 2*b + 2*d = -7 - 5, -29 = 4*b + 5*d. Sort q, 5, b in descending order.\nAnswer: 5, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -313*h**2*w**4 + 5*h**2*w**2 + h**2 + w**3 + 35 wrt w?\nAnswer: -7512*h**2*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - b - 2)*(193*b - b**2 + 347*b + 386*b).\nAnswer: b**3 - 926*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -13. Suppose -5*l + 10*b - s*b = 0, 5*b = l + 12. Is ((32 + 1)\/l)\/1 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 702 divide 137939924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 6:53 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {z: 3, s: 12}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - 20 = 56 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*m + 642*m + 65392 = -489*m for m.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3 - 1225*y**2 + 368328*y + 4201164 = 0. Calculate y.\nAnswer: -11, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from jeajejeaejaejjij.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q + 149. Let h be k(-18). Put -4, h, 5 in descending order.\nAnswer: 5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8714.4 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 228 = 8*p, 1188*k = 1191*k - 2*p - 63 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 15 = p + 3, -5*a - 10 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cchhuuchfqhhhh. Give prob of sequence ch.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -9*m**2 - m + 2. Let t(o) = -o**3 + 5*o**2 + 7*o - 8. Let j be t(6). What is r(j)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 21*p**2 - p + 9. Give s(-3).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 + -198. Let k = 163 + v. Suppose 4*p + 100 = 4*r, -5*r + 45 = 3*p - k. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/162440 and 43\/76549850.\nAnswer: 306199400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 11. Suppose -4*z - 3*j + 14 = 0, -5*j + 9 = 2*z - 5. Let v be a(z). Let w be (-104)\/70 + 2\/v. What is the third smallest value in w, -9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-6))\/u*(u**6\/u)\/u)\/((u*(u**(-2\/7)\/u)\/u)\/u*u*u\/u**(-3)))**(-19) assuming u is positive.\nAnswer: u**(-969\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 - 2 = 0. Let n = -835.2 - -835. What is the second biggest value in -13\/4, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(sqrt(76) + -1) + -3 + 4 + sqrt(304)*2 + 2 + 2)**2.\nAnswer: 20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*k + k. Suppose k*y - 4*h = -8, -3*h = 2*y + 2*h + 32. What is the tens digit of 6\/(-18) - 68\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.1 - -7.9. Let m = s + -15.5. Let r = 3 - 0. What is the second smallest value in 0.5, r, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/35 in 0.4, 0.93, -0.5, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5542 is divided by 150.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.642 + 0.342. Which is the second smallest value? (a) 0.2 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33322 (base 4) to base 13.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 677687 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 130 + 3*v + 111 - 5*v - 10 in the form g*v + o and give o.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 12 = t, 3*y + 32 = 3*t - 2*y. Suppose 5*k - 3*j - 3512 = 3*k, 2*k - t*j = 3510. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617315.464 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00188 to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (12 - 2)) + 8 - (-36 + 16)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 5*t + 17, 3*t + 27*b - 29*b = -19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = -0*i. Let k be 4\/(-1)*(-2)\/4. Let r = i - k. What is the lowest common multiple of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -11) + (0 + 6 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4*f - 16 = 0, -1 + 2 = -i + 4*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 234105 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -4*o + 3*l, 4*o - 2223*l + 2221*l + 50 = 0 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**0*z*z)\/((z*z**1)\/z))\/(z**(1\/2))**10)**(-12\/5))**(-18) assuming z is positive.\nAnswer: z**(-864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 + -136. Solve 0 = -3*t - v*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 26, -2 in descending order.\nAnswer: 26, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3199 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/25, -2\/9, 31 in decreasing order.\nAnswer: 31, -2\/25, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-120)\/273 - (-2)\/13. Let q = -5 + 6. Put q, u, 0.2 in descending order.\nAnswer: q, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 970 - 4838\/5. Suppose 0 - 12\/5*v**2 - q*v**4 - 18\/5*v**3 - 3\/5*v**5 - 3\/5*v = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1680 = 4*i - v + 5*v, -3*i + 3*v + 1278 = 0. Suppose -q + i = 420. Calculate the highest common divisor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -86, -91, -96?\n\"Answer: -5*j - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*r - 44 = 236 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5568 divided by 232?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1944)\/1188 + 3*8\/(-66)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5861 is divided by 976.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 + 1201202?\nAnswer: 1210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 275*k + 1076. Is n(63) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16162, 18268, 20374?\n\"Answer: 2106*b + 14056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19569?\nAnswer: 3, 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40936.000046594 - 40936. What is n rounded to 7 dps?\nAnswer: 0.0000466","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, h: 5, l: 3, z: 2}. Give prob of picking 1 l, 1 g, and 1 h.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 + 2*n + 7. Let h be c(-6). Let u = -83 + h. Calculate the highest common divisor of 140 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 23 = -3. Suppose -u = -g*q - 22, -u = 2*q + 2*q + 14. Let w(z) = -u + 4 - 1 + 3*z**2. Determine w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 5:29 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 + -4680717.\nAnswer: -4680716.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -1102\nAnswer: -17\/1102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.9 and 55535?\nAnswer: 105516.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 4*q**2 - 2*q - 6. Calculate u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from dhhdhddhhhhdn?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivkiyy. Give prob of sequence iik.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2. Let r(t) = 6*t**2. Let u(l) = 6*l**2. Let w = -110 + 115. Let q(z) = w*r(z) - 6*u(z). Determine q(i(d)).\nAnswer: -54*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a gram in milligrams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4963997*t*v**2 - 13651590*t wrt v.\nAnswer: 9927994*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-1) + 0 + 0. What is the smallest common multiple of v - 6 - (1 - 0) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 3*u**2\/2 + 8*u - 1. Let n(q) = 39*q + 203. Let j be n(-5). What is the units digit of w(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/32, 3, -2\/57?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -1190550.\nAnswer: -7\/1190550","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.04, 208, 64, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 - 3. Let p be r(2). Suppose -p*b + 80 = -163. Calculate the remainder when 50 is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-30)*-6*-295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/90 + ((-1702)\/207 - (-7 + -1)). Which is smaller: -34\/19 or o?\nAnswer: -34\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 2 - 1*(2 - -25997). Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + -15aac?\nAnswer: -15ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*p = -190, -48 + 347 = 3*v - p. What is the highest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 65 - 5819?\nAnswer: -57b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 13*z**2 + 14*z - 1. Let r be l(14). Let b be (-55)\/(-65)*r - 2\/(-2). Sort 3\/2, b, 1.\nAnswer: b, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156863 (base 9) to base 12.\nAnswer: -48119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 4026.19\nAnswer: 402.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1825551*x**3 + 1989*x**2 + 212*x?\nAnswer: -10953306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 862 = 3*y - 206, -4*x = 2*y - 724. Suppose -3\/2*k**4 - 29*k**3 - 355\/2*k**2 - 96 - y*k = 0. Calculate k.\nAnswer: -8, -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from sfsbqqtbg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*d = -102*d + 828 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 36. Let k be ((-50)\/690)\/(((-5)\/(-6))\/5). Do m and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8719 = -2*q + 1955, 4*q + 4*w = 21340. Suppose 84*v + q = 92*v. List the prime factors of v.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**12*n)*n\/n**(-21) assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-114)\/6 - (-131533)\/6913. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5498199820?\nAnswer: 2, 5, 274909991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 20, -139 in decreasing order.\nAnswer: 20, 3, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54)\/(-7)*2\/(-6)*-28. Let l = -61 + i. Let p(t) = 14*t + 3. What are the prime factors of p(l)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -27061 (b) -9 (c) -3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-9) - (-2)\/3. Let u = 20 + -20. Suppose z = -g, -g = -u*g + p. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 1299879?\nAnswer: 11\/1299879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91111443?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 2*z**2 - 4*z + 2. Calculate the least common multiple of 12 and c(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 1.11. Let o = v - 0.21. Which is bigger: 1\/4 or o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -66*n**2 + 37*n - 3. Let r(l) = 65*l**2 - 31*l + 3. Determine 5*m(i) + 6*r(i).\nAnswer: 60*i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 6*k + 10. Give z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/5))**(1\/32)\/(a\/a**5*a)**(-4\/3))**(-31) assuming a is positive.\nAnswer: a**(19747\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -201937 or -201193?\nAnswer: -201193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czygi. Give prob of sequence gi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10096171 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1239 (b) -1 (c) -127 (d) 2 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 1016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -6*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -56 + -111a3?\nAnswer: -11239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3969, -3972, -3977, -3984, -3993, -4004?\n\"Answer: -w**2 - 3968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-13 - -7) - (-5 - (-20)\/(-2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 - -5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 0*a - 2*a)*(a - 2*a + 3*a) + 2*a**2 - 11*a**2 - a**2 + 5*a**2 + 2 + 0 - 3*a**2 in the form j + t*a**2 + m*a and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/3, -0.04752, 5, 0.1.\nAnswer: -0.04752, 0, 0.1, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*q + 92 = 0, -6*q - 32 = -p - 2*q. Suppose p*h - 5159 = 1. What are the prime factors of h?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-13)*t**(-16\/7)*(t*t*t**(-17))\/t**(2\/13) assuming t is positive.\nAnswer: t**(-2770\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5260 is divided by 640?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3.6, -0.25, 0.1, 4, -5, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 4}. What is prob of sequence mm?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 130626277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/7 + 26*l**4\/7 - 62*l**3\/7 - 202*l**2\/7 + 40*l + 56 = 0.\nAnswer: -2, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -26) + -161 + 145\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*b + 4, 4*b = 17*j - 15*j - 8. Let k be 148\/28 - (-2)\/(-7). Let d(f) = f**3 + k + f + f - 6*f**2 + j*f. What is d(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2443517000 to the nearest one million.\nAnswer: 2444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/3)\/(-8)*(-7)\/14*30?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1407955 = -11381465. Let f = r + -2213140. Round f to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -3\/5497606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/12)\/(3 - (-470)\/(-156)). Sort -2, 19, d.\nAnswer: -2, 19, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8567873309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 2722?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 21*a**2 - 39*a - 5. Let q = -17 + 36. What is u(q)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 204 + -60. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.7 + 1.7. Let f = o - -18. What is the third smallest value in -1\/7, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppippipppt. Give prob of picking 4 p.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - -116. Let u = -22 + o. Let w be 4\/22 - 343\/u. What is w rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/(-4)*-3*(-1052)\/(-72).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -626.72845767 - 698.\nAnswer: -1324.72845767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + -103. Sort -5, c, 4 in decreasing order.\nAnswer: 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 8) in base 16?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 7477\nAnswer: 4486.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/287 (b) 0.1 (c) 28 (d) -2.1 (e) -1\/3 (f) 2\/271\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130422468?\nAnswer: 2, 3, 11, 67, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 16*y**2 - 11*y + 168. Let k be j(16). What are the prime factors of (144\/k)\/6 - -290?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -46.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 135.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -306 + 348. What is the remainder when 207 is divided by y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.3 (b) -2451 (c) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 + 2*t**2 + 68*t + 41. Calculate v(-6).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101628 and 2421?\nAnswer: 27337932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/18)\/5*(-18 - -28). What is v in -v**3 + 1\/3*v - k*v**4 + 1\/3*v**2 - 2\/3*v**5 + 0 = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21252167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**3*z**3 - 7668911*l**3*z**2 - 5*l**3 + 3*l**2*z**3 - 2*l**2 - 16166*l*z - 142*z**3 wrt l?\nAnswer: 6*z**3 - 46013466*z**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 73, -2, 13, 1, 5 in decreasing order.\nAnswer: 73, 13, 5, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -5, -3, 9.\nAnswer: -5, -3, 1, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a = 2*n - 70, 3*a + 126 = 4*n. Let s = -28 + n. Determine j, given that 3\/2*j + 1\/2*j**3 - 1\/2 - 3\/2*j**s = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiia when four letters picked without replacement from ixiaaaaixaaixa.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.514 + -8.414. What is the nearest to y in 0.8, -0.1, -6\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 7. Let r be j(4). Solve -k = -5*o - r, -5*o - 1 = 2*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + ((3 + sqrt(325) + 1*sqrt(325) - (5 + sqrt(325) + -2 - sqrt(325)))**2 - (1*sqrt(325)*-2*-6)**2).\nAnswer: -45496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - (sqrt(45) - sqrt(1125)*-1))\/sqrt(9) + -4)**2 - (sqrt(55)\/((1*sqrt(121) + sqrt(121) - sqrt(121))\/sqrt(11)) + 3).\nAnswer: 39*sqrt(5) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2423904 - 0.5.\nAnswer: -2423904.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 16367 = -16379 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, p: 4, h: 2, u: 1}. Give prob of picking 3 p and 1 u.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-1) + -1)*-1. Calculate the common denominator of (-26624)\/(-364) + -24 + -55 and (-3 - a) + 31\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/2)*m**(-3)*(m**(2\/13))**(1\/9) assuming m is positive.\nAnswer: m**(-815\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**3\/3 + 190. Let x(o) = -319*o. Give q(x(a)).\nAnswer: -101761*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 4424336?\nAnswer: 39819024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/580)\/(8\/(-24)). Let l = -8857\/2320 + v. What is the common denominator of l and 15\/(-72)*232\/(-6)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u = s, -4*u + 12 = 0. Is s\/(-8) - (-5046)\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 340 + 3?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05979438174 rounded to 5 decimal places?\nAnswer: 0.05979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -323? (a) 3\/16 (b) 0.7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 11:06 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 31 = -k. Let z = k + 64. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -14*m - 46 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 278, 555, 832, 1109?\n\"Answer: 277*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166*s**6 + 5*s**4 + 5*s**3 - 606*s**2 - 18.\nAnswer: 19920*s**3 + 120*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.0000009 + 6. Round c to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 62050, 62009, 61968, 61927, 61886, 61845?\n\"Answer: -41*v + 62091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 + 32332?\nAnswer: 33202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 39 + 6 = 0. Suppose 6 = l*y + s, 2*s + 0*s = -4*y + 8. Solve -2*m - 3*o - 2*o + 19 = 0, y*m = 4*o - 26 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b = 3*g - 34, 5*g + 3*b = 0. Let y(o) = 2*o**3 - 3*o**2 + o - 1. Let t be y(g). Suppose -5*s = -t - 46. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 37.77, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 103116*u + 0 + 103115*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*14\/(-20))\/(1\/30*-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 22 - 20 = 0. Solve 0*v - 2*v = -l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -o + 5*f, 3*f = 6*o - 5*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -18. Let x = 29 + c. Let t = x - 7. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dndddddddddddddddddd?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-150)*3)\/((-36)\/135)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 471913389, 471913394, 471913411, 471913446, 471913505, 471913594, 471913719, 471913886?\nAnswer: 471914101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 2*u**2 - u + 0*u + 2*u. Let x be h(1). Is x\/((-3)\/201*3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -6981418.7.\nAnswer: -6981419.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1393 = -419*x - 3036 + 658 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 11:59 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 7. Let r(w) = -w**2 - 8*w - 6. Let m be r(-1). Which is the closest to m? (a) o (b) 1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*t**2 + 48*t**2 - 67*t**2)*(-t**2 - t - 2*t**3 - t**2 + 0*t**3).\nAnswer: -126*t**5 - 126*t**4 - 63*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3184 and -1348?\nAnswer: 4292032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1570 divided by -1?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i - 136. Let l be k(13). Let u(q) = -q**3 + q + 1. Let v(h) = -8*h**3 + h**2 + 7*h + 6. Calculate l*u(r) + v(r).\nAnswer: -2*r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*x - 16 = 0, 3*x = -g - 11 - 1. Suppose -b - b + 60 = g. Calculate the greatest common divisor of b and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*k = -26, -3*i + i + 26 = -5*k. Let f be 3\/((-41)\/(-19) - 2). Suppose -4*q + 9 = -f. Calculate the remainder when i is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i**2 - 4841*i + 376. Give m(440).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185731 is divided by 307.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 18*d. Let b(r) = 4*r - 2. Let o(n) = n**2 + 6*n - 3. Let h(z) = 3*b(z) - 2*o(z). Give g(h(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1811876, -1811896, -1811938, -1812008, -1812112, -1812256, -1812446?\nAnswer: -1812688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-53 + -2) - 0 - (-12 - (-17 + 7))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 136 = -24. What is the greatest common factor of 56 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by -1.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*w + 488, -c - 68 = 2*w - 326. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 + 3*c**2 + 0 + 5*c**2 - 10 - 10*c**2 - 5*c**3 - c in the form l*c**3 + f + r*c**2 + t*c and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31.447 + 48.927. Which is the second smallest value? (a) t (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5873334 to two decimal places.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*b**3 + 4960*b**2 + 2995*b - 1990.\nAnswer: -5*(b - 199)*(b + 1)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -1, 4\/11, -1\/5, 1.21, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 290425 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -0.2 (c) -1\/2 (d) 20 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m. Let b be -12 + 9 + m\/1. Let d(t) = -23*t - 8. Calculate the remainder when d(b) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 5. Let w be k(-5). Solve w*t = 3*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -13*t**2 - 435*t - 140. Give c(-33).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -27. Suppose l*q - 10 = 5*h, 3*h + 2*q = h + 4. Solve h*t - t - 3 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**2 - 2*m + 2847216. Let q(f) = -2*f**2. Calculate a(q(r)).\nAnswer: 24*r**4 + 4*r**2 + 2847216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 52 = 4*m + 19*z, 2*m - 4*z = -38 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19246\/2387 or -8?\nAnswer: -19246\/2387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 369225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**5\/60 - n**3\/12 - n**2\/12 + 10. Suppose i(g) = 0. Calculate g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48*121\/52272 - (2\/(-8) - 4527\/(-3564))\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -524, -4236, -14332, -34004, -66444, -114844, -182396?\n\"Answer: -532*m**3 + 12*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21833851?\nAnswer: 13, 761, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 3:00 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 1256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 57*i**2 + 180*i.\nAnswer: 3*i*(i + 4)*(i + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-8))\/((-7)\/(-92)). Which is the smallest value? (a) 2 (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010101010001010 (base 2) to base 10.\nAnswer: -141962","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/63 of a week?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.78465 millilitres to litres.\nAnswer: 0.08678465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1601364, 1601357, 1601350, 1601343, 1601336, 1601329?\nAnswer: 1601322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5 + 2*u**3 + 2*u - 4 + 4*u**2 - 1 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45622 at most as big as -45621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -600 and -0.00987680841?\nAnswer: 599.99012319159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -10300.\nAnswer: -1\/2575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/72 and -49\/477.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 65113*c - 65113*c + 67*c**2 + (-5*c + c + 3*c)*(-3*c + 4*c - 3*c) + 2*c**2 - 2*c**2 - c**2 - 3*c**2 - 1 + 1.\nAnswer: 65*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**3 - 3*y**3 + y**3)*(-y + 23 - 2*y + 5*y) to z*y + v + l*y**3 + k*y**2 + d*y**4 and give l.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 13961942.7 to the nearest 10000.\nAnswer: 13960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 641942980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -9. Let l(w) = -2*w - 17. What is the least common multiple of 10 and l(x)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*i)*(i + 13*i - 13*i + 131)*(2*i + 1 - 1).\nAnswer: 4*i**3 + 524*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -553*s**2 + 8*s - 166. Let j(h) = 830*h**2 - 11*h + 249. Let k(n) = 5*j(n) + 7*v(n). Find the second derivative of k(b) wrt b.\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -15, v + 4 + 11 = 5*q. Let n(w) = -4000 + 5*w**q - 3*w**2 + w**2 - 4*w**2. Let r be n(0). What is r rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46857.\nAnswer: 3, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 70 = -6*o + o, 4*p = -o + 2. Let y = o + 34. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taxwtuxb. Give prob of picking 1 w, 1 u, and 1 a.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r - 26 - r + 31 to the form g + j*r and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/8 - (15 - 8)\/28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3808\/238)\/(-2*1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*z - 18 = 0, 0 = 3*r - 0*r - 5*z - 23. Put r, -4, -5, 11 in descending order.\nAnswer: 11, r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73767*s**2 + 73787*s**2 - 147976*s**2.\nAnswer: -422*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/58 (b) 6 (c) 15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -82930 + 82930 + 19346*q - 3803*q in the form j + f*q and give f.\nAnswer: 15543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 78808 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23087 is divided by 2517.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x - 11*x + 18*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 5*m = -5*f - 750, 0 = -5*f + 10. What is the greatest common divisor of 266 and m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**4\/12 - 5*x**3\/3 - 7*x**2\/2 - 3*x. Let w be t(-9). Let p(s) = -5*s**2 + s**3 + w*s**2 - 2*s**2 + 4*s + 1. Give p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 11 = 4*m + u, -3*m - 4*u = -7. Suppose -2*q = x + m - 4, -4*q - x = 5. Suppose -4*l + 2*l = -0*l. Solve q = -l*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -196*(0 + 12\/(-3) - -3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4\/3 - 7234*r**3\/3 + 2178704*r**2\/3 - 7555034*r\/3 + 1794520 = 0. Calculate r.\nAnswer: 1, 5\/2, 377, 1428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. Let q = -3.1 + u. Let k be (2\/68)\/(5\/(-20)). Put k, -0.5, q in decreasing order.\nAnswer: q, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 253 by -23.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.71297009 and -366589.\nAnswer: -366589.71297009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 + 4*w - 1. Let q(p) = -2*p**2 + 5*p - 1. Determine 4*q(f) - 5*x(f).\nAnswer: 7*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760095.7 less than -962?\nAnswer: -1761057.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 2518160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by -76\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4.1, -3015 in decreasing order.\nAnswer: 4.1, -0.4, -3015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1\/4, 5, 1.6, 7\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42.28 + 41. Let l = 1 + m. Let w = l - -0.2855. What is w rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 5*c - 4. Let s be a(-5). Put -5, s, 0 in decreasing order.\nAnswer: 0, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -1, -14 in ascending order.\nAnswer: -14, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15850.\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -269.1 + 268.1. What is the second smallest value in 4, -39\/16, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 505*w**4\/2 + 2*w**3\/3 - 313*w - 470. Find the third derivative of r(p) wrt p.\nAnswer: 6060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/28, 1, 2 in decreasing order.\nAnswer: 2, 1, 3\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k = 15. Suppose 0 = -q - k*f + 21, q - 2*q + 39 = -3*f. Is (105\/q)\/((-1)\/(-326)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p**2 - 3*p**2 + 605*p**3 - 614*p**3)*(2*p - 3*p**2 - 2*p).\nAnswer: 27*p**5 + 30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by (510\/(-9))\/10*-3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 + -4.5. Let c = 7 + d. Sort c, 5, -2\/11 in ascending order.\nAnswer: -2\/11, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -226 - -222. Let p = 0 + -1. What is the closest to -1\/4 in 4, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2907, -2897, -2883, -2865?\n\"Answer: 2*j**2 + 4*j - 2913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*g + 3. Let d be -1*(-13 - 2) - g. Calculate the greatest common factor of d and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 12. Let r be k(5). Let d be (r\/6)\/(4\/(-24)). Factor 18*x - 32*x - 3*x**3 + 11*x + 6*x**d.\nAnswer: -3*x*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31100 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2745, 3076, 3407, 3738, 4069?\n\"Answer: 331*k + 2414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 395839, 0.14, 1\/28?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, -644 in descending order.\nAnswer: 2, -0.2, -644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -157, -178, -199?\n\"Answer: -21*x - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -294.6213 + 0.1213. Let r = q + 3.5. Let n = 291.000117 + r. Round n to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -1.003, 0.3 in increasing order.\nAnswer: -4, -1.003, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1063558, 1063556, 1063554, 1063552, 1063550?\nAnswer: 1063548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 - 0.67. Let g = r + -0.7. Let j = g - 0.6. What is the nearest to 1\/4 in 4\/5, -1, j?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*r**2 - 253 + 253 + (-1 + 2*r + 1)*(-3*r + 3*r - r) + r**2 + 2*r**2 - 2*r**2.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -37. Let m = 6.96 + 0.04. Let v = m + -12. What is the second smallest value in v, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-14)\/36582*-26.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -996\nAnswer: -5\/996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 9*c. Let d(a) = -41334*a. Calculate t(d(n)).\nAnswer: 3416999112*n**2 + 372006*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1700*v**2 + 1 + 6587*v**2 - 1.\nAnswer: 8287*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25806.6 + -25773.5969. Let a = 33 - f. What is a rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 207.157 + 0.843. Let r = -233.1 + l. What is the third smallest value in 0.2, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4 - l**2 - 5*l**2 + 3 - 7*l. Let a(o) = 2*o**2 - 13 + 2*o + 6 + 4 + 1. Determine 7*a(s) + 2*z(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 34128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4 - 15444*k**3 - 261870*k**2 - 969516*k + 1246833 = 0. What is k?\nAnswer: -5131, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 + 188 = 12*u. Suppose 0 = c + 23 - u. Suppose c*x - 5*x = 296. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4 + 1645436*y**3 - 39490080*y**2 + 315919616*y - 842450944 = 0.\nAnswer: 8, 1645412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-84)*42)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*a + 3*a. Let f(q) = -9*q - 4. Let c(x) = 1. Let d(h) = -c(h) + f(h). Calculate the remainder when d(-4) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100034 (base 5) to base 14\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let d = q - -2. Suppose d*x - 5 - 19 = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 12*b + 9. Let i be d(-10). Is i at least -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 250fa6 (base 16) to base 4\nAnswer: 21100332212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 - 3*s**2. Suppose -14 = 6*a + a. What is z(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 8. What are the prime factors of 78\/(-4)*4\/z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2337.6 + -2338. What is the third biggest value in -5\/4, 4, -20, k?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 9*h - 22. Solve 4*k = 6*k + h*r - 24, 32 = 5*k + 3*r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54513 - -8212. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79964 = -3*n - 5*p, -146949 + 40325 = -4*n - 4*p. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8326.\nAnswer: 2, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, g: 7}. Give prob of sequence gjgj.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 8*s**2 + 21*s + 17. What is v(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -268*n**5 + 849*n**2 + 5*n + 10. Let i(x) = x**5 + x + 2. Let w(s) = 5*i(s) - u(s). What is the third derivative of w(b) wrt b?\nAnswer: 16380*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.5, 336, 5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007438623411 rounded to six dps?\nAnswer: -0.000744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.1 (b) -1\/9 (c) -38.3 (d) -769\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 4. Let s = -27 - -6. Suppose -140236*o = -140235*o + 5. Which is the third biggest value? (a) o (b) s (c) k (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867537221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ciiccc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o. Let s(r) = 11*r. Determine 7*s(t) + 6*y(t).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 25. Suppose -g - 9 = -6*o. What is the least common multiple of o and 9\/(3 + -2) - 1?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/29 and 83\/4596?\nAnswer: 133284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.6. Let v = -0.3 - -0.25. Let s = v - -0.35. Which is the nearest to 0? (a) w (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/5 of a meter?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3581 + -5?\nAnswer: -3586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8736696149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:22 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*l**3 + 0*l**2 + 0*l**2 + 5561 - 5559 as y*l + c*l**3 + f + n*l**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-1\/15)*p*p)\/(p**(-3)\/p) assuming p is positive.\nAnswer: p**(121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y - y**3 + 0*y + (0*y - 2*y + 3*y)*(-11 + 11 + 2*y**2) + 191*y**3 - 1352 + 1352 as q*y + c*y**2 + r + t*y**3 and give t.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 389 = -2*w - 0*r, -556 = -3*w - 2*r. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1444, -1411, -1344, -1231, -1060, -819?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - 1*(sqrt(343) + 2)) + sqrt(343) + sqrt(343) + -3 - (sqrt(63)*5 + sqrt(7) + -5)*5)*3.\nAnswer: -198*sqrt(7) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 - 5*i - 6. What is the units digit of t(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1884*h**3 - 6*h**2 - 138.\nAnswer: 11304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + 2 + 1 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 11) in base 14?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 8102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 16981*j + 1766099. Give i(-104).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 569855556 to the power of 1\/2, to the nearest integer?\nAnswer: 23872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 275624*p\/5 + 110248.\nAnswer: 2*(p - 137810)*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 49, 50, 51, 52?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 24, 38, 54?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 4 + 11 - 4*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - 1.8. Let i = 0.34 - 0.14. Let t = 83\/20 + -15\/4. Sort i, t, v, 5 in decreasing order.\nAnswer: 5, t, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1551776 by 71.\nAnswer: 21856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/64 and 131\/80760.\nAnswer: 646080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -69, -164, -301, -498, -773?\n\"Answer: -3*s**3 - 3*s**2 - 65*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6253871 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201087 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 366.8214 months?\nAnswer: 3.056845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49498*h = 49516*h - 36. Find d such that -4\/3*d**h + 0*d + 4\/3*d**4 + 4\/3*d**3 + 0 - 4\/3*d**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/6*7\/(-8)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.6196071ns in weeks?\nAnswer: 0.00000000000017463559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-524)\/3)\/(9 - (-261)\/(-27))*29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + c - 4. Let l be h(0). List the prime factors of -4*1\/l*12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 1.1\nAnswer: 0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 4\/3 (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 2*k + 0*k + ((1 + 0 - 2)*(4 - k - 4) + (5 - 3 - 3)*(5*k + k - 5*k) + 36*k + 35 - 35)*(-13 + 12 - 18) in the form n*k + m and give n.\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64410\/2260*(-84)\/133.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a factor of 20477720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5552 - 0.0448. What is the nearest to -2\/3 in 5, 0, 2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/28 - 751\/(-7).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1877, -1869, -1793, -1631, -1365, -977?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 280020511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 - 17*y + 4. Let g(k) = 13*k**2 - 69*k + 17. Determine -2*g(b) + 9*l(b).\nAnswer: b**2 - 15*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 575*u**2 - 464206*u + 2 - 464211*u + 3*u**3 + 928412*u - 4*u**3 to the form w*u + p*u**3 + h + g*u**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/1267? (a) -4 (b) 4 (c) 5 (d) -5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8*232\/609.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 27*m**2 - 27*m + 32. Let j be z(-28). Suppose -j*h + 1352 = 9*h. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3890.\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*s**2 - 7*n*s - 28018*n - 41*s**3 - 3*s wrt s.\nAnswer: 2*n*s - 7*n - 123*s**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, -355, -406, -457, -508?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 2*i**2 - 8*i - 21. Let o(s) = -s**2 - s + 2. Let m(y) = -4*a(y) - 28*o(y). Factor m(z).\nAnswer: 4*(z + 1)**2*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -b?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.91 - -2. Which is the nearest to 0? (a) v (b) -4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1666652*g**4 - g**3 - 9153885*g**2?\nAnswer: 39999648*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*v - 62 = -v, l = 4*v + 22. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-5))\/(90\/270))\/((-6)\/(-160)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t**2 + 3*t + 4. Let w(q) = 7*q**2 - 2*q - 3. Let l(o) = -5*a(o) - 6*w(o). Let z(i) = -6*i**2 - 8*i - 5. Determine 11*l(n) - 4*z(n).\nAnswer: 2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*f = 0. Suppose -c + 7 + 5 = f. Let h be c\/54 - 14400004\/18. Round h to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*1 + 0 + sqrt(220)\/sqrt(5) + sqrt(44) + (-3 + sqrt(11) + sqrt(704) + sqrt(11) - (sqrt(55)\/(5*sqrt(5)) + sqrt(11))**2).\nAnswer: -471\/25 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 5*j**4\/24 - 5*j**3\/3 - 8*j**2. What are the prime factors of k(5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 + 643 = 21*l. Let n be 38\/l + -1 + 4\/(-12). Suppose -s = 2, 2*o + 0*o + 5*s = -2. Which is the nearest to 1\/3? (a) -8 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeey when four letters picked without replacement from {e: 11, y: 9}?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-56)\/(-420))\/(8\/(-50)). Suppose 4 - 99 = -19*p. Which is the second smallest value? (a) -0.004 (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06708107508 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 40?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 7*h - 3*h)*(2*h**2 + 5 - 5) - 7*h**2 - h**3 - 73 - h + 73.\nAnswer: h**3 - 7*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 3*d - 15 + 3, 6 = 2*d - 4*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10939905.\nAnswer: 3, 5, 243109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -174, -685, -1528, -2697, -4186, -5989?\n\"Answer: p**3 - 172*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 25 = b, 134*b - 65*b = -2*o + 100*b - 185 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -0.00859?\nAnswer: 0.49141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 3. Let n(k) = -9 - 3*k - k + k. Suppose -19*i - 73 = 41. What is i*n(t) - 17*r(t)?\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-72))\/(((-56)\/210)\/((-6)\/(-10)))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 40.21. Let p = 0.41 - l. Which is the nearest to p? (a) -2\/3 (b) 3\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 259.9 + 1\nAnswer: 260.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -219495093*p**3 + 145159137 wrt p.\nAnswer: -658485279*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 1. Let a be r(-1). Let n be (2 + -2)\/a + 0. Suppose n = 3*v + 11 - 68. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3)*(6 - 2 + 6)*(2*l**3 + 4 - 4) + 1 - 3*l - 9*l + 2*l**3 + 2*l as v*l + d*l**3 + b*l**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-38)\/(-8) - (-2 - -1). Sort 5, 2, 4, b in ascending order.\nAnswer: b, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*j = 99 - 291 - 463. Solve -10*v + j = -15*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -91235 and 1?\nAnswer: 91236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 655.9?\nAnswer: -65.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/28*2\/3. Suppose 3*n - 2 = 31. Let j be (-2 - -2)*n\/(-33). Which is the smallest value? (a) 0.1 (b) -1 (c) j (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*b + p, -6*b + b + 5*p = -5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 15) to base 5\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 473214767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.621165 grams in nanograms?\nAnswer: 621165000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-15)\/(-168)*(-5)\/(-6)*612\/765.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1208 = 5*p + 3*u, 132 = -p + u - 116. Let z = -87 - p. Let v = z - 2. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-34\/3))**(1\/31))**(-6\/5))**(-1\/16))**(-1\/2) assuming t is positive.\nAnswer: t**(17\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*r**2 - 52*r**2 - 54*r**2 - 58 as h + n*r + f*r**2 and give h.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*c + 16, 4*c - 12 = -5*o + 4. Let g be (-1)\/(-6) - (-334)\/12. Solve -o*l - 12 + g = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -783452674 rounded to the nearest one hundred thousand?\nAnswer: -783500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/3682433?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*h = 17, w + 2*h + h - 14 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -734 - 231 - 268 - 131*r + 57 - 297 wrt r.\nAnswer: -131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1017 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sstsnntnnaanssssssss. What is prob of sequence nt?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 24769*v**2 - 517*v. Let k(i) = 96*i**2 - 2*i. Let l(j) = -2*b(j) + 517*k(j). Let n(t) = t**2. Calculate n(l(y)).\nAnswer: 8836*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z, -12*z = -x - 8*z - 8. Let p be (-256)\/56 + (x\/14 - 0). Sort 0, p, -1 in increasing order.\nAnswer: p, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h**2 - 3*h + 3. Let d(s) be the third derivative of 3*s**5\/10 + s**4\/4 - 5*s**3\/6 + s**2. Let y(j) = -3*d(j) - 7*l(j). Factor y(t).\nAnswer: 3*(t + 1)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 d when three letters picked without replacement from dldlpgttldpttgdlpdsl?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-20)\/(-5) - -2. Which is the closest to 1? (a) -4 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/980*800\/(-75)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - j = -0*d - 1, 0 = -3*d + 2*j + 18. Let w be (1 - 42\/38) + 384\/38. Let m = -1386 + 1411. Solve d*o = -4*s - w + 30, -5*o = 4*s - m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ssgbssgbssgg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 2. Let r be x(0). Let v be 2*r\/(4\/(-67)). Let s = v - 32. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -629*((0 - -2) + -4). Suppose 1129 + o = -7*f. What is f rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(3\/10)\/m)))**(-39) assuming m is positive.\nAnswer: m**(273\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*g = 20, 6*f - 5*g - 10 = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-12))\/(35\/21). Let f = 5 - 4. Let o = f + 0. What is the second smallest value in o, p, 2\/15, 3\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 12*x + 6. Give j(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 163a79 - 180?\nAnswer: 1638a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*w - 136*w = 130*w + 150 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 11:48 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 2*b**2 + 4*b**2 + (-24*b - 20*b - 32*b)*(b - 3*b - 2*b) to the form q*b + w + p*b**2 and give p.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/((4\/9)\/(-2))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**3 - 7*r + 4. Let l(d) = 0*d**2 + d**3 + 1 + 0*d**2 - 2*d. Suppose 5 = 3*o - 1. Give o*n(v) - 7*l(v).\nAnswer: -v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**4\/12 + 11*l**3\/3 - l**2. Let z be (-22)\/8*(9 + -5). Let n be m(z). Solve 5*w + 0*w = n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(570*d**5 - 2*d**5 + 6*d**5).\nAnswer: -1148*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1439 - -0.142. What is n rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 47*h - 7. What is l(-22)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(57))\/sqrt(3).\nAnswer: 2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (-26 + -17) - (2 + (4 - 11))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 675 and 2547225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -30. Let t = 10 + -10. Suppose -4*b + 12 = -0*b + 2*m, 5*b - m - 8 = t. Solve -h + 4*g = -2, 5*h + d - 15 = -b*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64.8 + 61.469. Let k = 0.031 + t. Let x = -3.4 - k. What is the closest to x in 2\/15, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 103730965 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -407131610 rounded to the nearest one hundred thousand?\nAnswer: -407100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = 16 - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.171288cm in millimeters?\nAnswer: 31.71288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 220, 593, 1116?\nAnswer: 1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (782 + 503 + 192 - 293)*(4*b**3 - 4*b**3 - 2*b**3) in the form l + p*b + f*b**3 + z*b**2 and give f.\nAnswer: -2368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -0.2 (b) 83 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18242010713 - 3923*l**3 - 18242010713.\nAnswer: -3923*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577, -2320, -5223, -9286, -14509?\nAnswer: -20892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 1. Let p be z(-3). Suppose 4*v = p*v - 9. Let r(c) = c + 25. Let h be r(-8). Solve -2*d - 2*d = n - 21, -v*d = n - h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 438 + -271. What is the remainder when a is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.2, 195, 267, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8632069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-45)\/36) - 8*-2. What is the highest common factor of 90 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -36, 2 in increasing order.\nAnswer: -36, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by 146.\nAnswer: -47\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 11*z**2 - 10*z + 9. Let r be u(-10). Suppose -n + r*n = 72. Find the common denominator of -39\/16 and ((-6)\/n)\/1 - 159\/396.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-3 - -3)) + 5. Solve -5*x = -k*x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 14, 2\/17 in increasing order.\nAnswer: -0.4, 2\/17, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3235 + -3181. Solve 0 = 312*f - 303*f - s for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*245\/60*(-91 - 38491\/(-427))\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t - 3. Solve 4*w + t*z + 6 = 0, z - 10 = -5*w + 6*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 267.4 - 21.4. Let u = i + -246. Which is the closest to 1? (a) 0.07 (b) -1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.52599 decades in years?\nAnswer: 315.2599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**3\/3 + 7*a**2 + 648. Factor v(i).\nAnswer: -i*(i - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/91, 3\/2, 1\/37, 0, 25?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.469153ml in litres?\nAnswer: 0.001469153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2002)\/28)\/13 + (-6)\/(-4). Is v less than or equal to -45\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (12 - 13)) + 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 2.586.\nAnswer: -7.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 3*4\/6. What is the remainder when 16 is divided by 1\/((-2)\/18)*z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -912 by 57.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h\/h**5)\/h*h*h\/(h\/(h*h*h**(-6)*h))*((h\/h**(2\/9)*h)\/h)\/h**5 assuming h is positive.\nAnswer: h**(-92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.37. Let i = 0.02 - n. Let z be 3604\/(-954) - 4\/(-1). What is the second smallest value in 0.5, i, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44*((-42)\/(-147))\/(16\/14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-21)*6\/4. What is the remainder when m\/2*141\/3 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109759 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55855230*n**2 - 55757513?\nAnswer: 111710460*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 2*g**3\/21 - 50*g**2\/7 + 282*g\/7 + 700. Solve c(o) = 0 for o.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/7 and -83\/174.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1219*g**2*o**4 - 1125376051*g**2*o**2 - 487004*o**4 wrt o?\nAnswer: -29256*g**2*o - 11688096*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.5? (a) 2 (b) -4 (c) -3 (d) 1\/2 (e) 225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483152 is divided by 80524.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15940 = -7*z - 3*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0594954479 rounded to 6 dps?\nAnswer: -0.059495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 589?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 545050 and 43604.\nAnswer: 1090100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from {z: 1, t: 1, v: 11}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*l = 35*l - 17*l. Which is smaller: l or -6\/1237?\nAnswer: -6\/1237","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14611 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 5 + h + 11 - 6.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9098203 at most as big as 9098211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-28)*3)\/(933\/13062)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4004 and (20\/(-120))\/((-3)\/1638)?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(320) + sqrt(320) + 5 + sqrt(320))*-3.\nAnswer: -72*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 206 - 304245?\nAnswer: -304039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002599955 to 5 decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53545, 53545, 53535, 53509, 53461, 53385?\nAnswer: 53275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5046 + 3.4954. What is the nearest to 0.1 in 5\/2, d, 17.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2275 and 9620.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -493a (base 14) in base 7?\nAnswer: -52203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 393*s - 1973. What is the remainder when 62 is divided by n(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 34*x - 36. What is the units digit of f(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35697 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -33837 and 5795046057.\nAnswer: 5795012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjq when three letters picked without replacement from {n: 1, l: 2, g: 2, q: 1, b: 2, j: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 2:18 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/11830 and -131\/236600.\nAnswer: 236600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1248 - -1245.3. Sort -1, q, -4 in decreasing order.\nAnswer: -1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2082*f + 16456. Give b(-8).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 1. Let x(i) = -i**2 - 52*i + 766. Let k be x(-64). Let z(n) = 3*n**2 + n - 3. What is k*z(p) - 5*m(p)?\nAnswer: -p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 1. Let l = 21 + -12. What is the remainder when v(l) is divided by ((-4)\/(-5))\/(2\/25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*r + 2*r. Let y = r - -14. What is the smallest common multiple of y and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -107973424, -107973427, -107973430?\n\"Answer: -3*r - 107973421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 25 = -4*s, 5*q - 3*s + 18 = 2*q. Let b be 4 - 116*q\/(-26). Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(10\/75))\/(2\/12). Let l = t + 37. Let x = l + 107. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1658701)\/(-165)*(-10)\/(-8) + -2. Let a = 12557 - y. Calculate the common denominator of a and -65\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(156)\/(sqrt(36)\/sqrt(3)*-5 - sqrt(12)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4608))\/(-4*sqrt(8)\/sqrt(4) - sqrt(2)))\/((2*sqrt(392)*-3 + sqrt(392))*-3).\nAnswer: 4*sqrt(2)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 14*i**2 - 2. Let o(p) = 10443*p. What is o(s(a))?\nAnswer: 146202*a**2 - 20886","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21827449 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m - 18. Let q be h(5). Suppose 0 = 5*j - l - 14, 5*j + 2*l = -l - q. Find the third derivative of 7*w**2 - 2*w**2 - j*w**3 + 2*w**2 wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -13 + 4 + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2535, 2549, 2585, 2655, 2771, 2945, 3189?\nAnswer: 3515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 345691*n**2 - 345691*n**2 + 739*n**4 + 0*n**4 + n**4 + 0*n**4 + (-5*n**3 + 5*n**3 - n**3)*(0 - n + 0).\nAnswer: 741*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 138, 142, 158, 192, 250, 338, 462, 628?\n\"Answer: f**3 - 3*f + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.53957 rounded to 0 decimal places?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19789373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 32 = 4*y, -2 = -59*n + 61*n - 2*y for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3 - (-24 - -23)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2\/15, -3, -5, -0.09?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003004709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101 (base 3) to base 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (8 - 0)) + (2 - 1) + 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijoioiisiiisii. Give prob of picking 1 s and 1 j.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148\/((-44104)\/(-1341))*((-26)\/(-30) + -1) - 1.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347 + -2340 + (3 - (-3 + (3 - 0))) + 53?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43\/24 - 5\/3. Let y be 2\/(-17) - (15 + 3666\/(-238)). Which is the nearest to 0.1? (a) l (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - 19.96. Let j = t - -20.2. Let m = j - 0.19999992. Round m to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -172 - -345\/2. What is i in -3\/2*i - 1 - b*i**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 136000 - -2774?\nAnswer: 140774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14.126 or -1.57?\nAnswer: -14.126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 4*j**2 - 5*j - 4. Let x be n(-3). Solve -11 = x*q - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 + 0 = 0. Suppose -29 + 20 = -k*g. Solve 4*h + 1 = g*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*y - 8 = 0, -3*p + 2*y + 28 = 36. Let n(h) be the second derivative of p*h**3 + 0*h**4 + 9*h + 1\/90*h**6 + 0*h**2 + 1\/60*h**5 + 0. Factor n(s).\nAnswer: s**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(4 + sqrt(28) + -2))**2 + -2.\nAnswer: 1152*sqrt(7) + 4606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 4)*14\/(-4). Let p = -4 + f. Solve c = p*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 4*s + 3. Let t(b) = -8*b**3 + 3*b**2 + 6 + 0 - 3 + 9*b**3 - 2*b. Let i be t(-4). Determine f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42824930 a multiple of 647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a**2 - 4. Let w(v) = -8*v**2 + 3. Let z(u) = -4*j(u) - 5*w(u). Suppose 1 = h + 2. List the prime factors of z(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 133*j + 267*j - 128*j)*(0*j - j**2 + 0*j) to d + n*j**2 + g*j**3 + a*j and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3098 - 3094.8. Which is the smallest value? (a) 0 (b) l (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 1 - 8*g**3 - 1.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c141 - -198?\nAnswer: c2d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1734928830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58.7 - 59.7. Which is the nearest to 0.22? (a) 0 (b) -5\/2 (c) 3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + 30\/76. Let p = 27155482\/165 - 164580. Let m = -16\/11 - p. Sort m, q, 5, -0.3 in ascending order.\nAnswer: -0.3, m, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -160, -258, -376, -520, -696?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 5) to base 16\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - ((-14)\/2 - -2). What is the third derivative of q - q + 8*q**u - 4*q**4 - 4*q**2 wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idhdqdhiddiqd. What is prob of picking 1 h and 1 q?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97 * -0.02.\nAnswer: -1.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}