diff --git "a/data/dm_maths/full_data_2/10638_11255.jsonl" "b/data/dm_maths/full_data_2/10638_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10638_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o = 15926 - 13807. Calculate the greatest common divisor of 815 and o.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 11 + 47 = 0. Suppose 728 = -c*p + 10*p. Suppose -o = 5*u - 54, 4*o = -5*u + 34 + p. Calculate the remainder when o is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*w - 63*w + 273*w - 52*w - 54*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449581541?\nAnswer: 17, 26445973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 12, 5*h - 6 = 4*h - 4*l. Let i be -2*3\/h*15. Suppose -4*y = -y - i. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834045?\nAnswer: 3, 5, 55603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66000 by -1200.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 0*d. Suppose d = -0*z - 5*z - 35. Is (-264)\/z - 4\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 5*d - 976. Let p be (-4)\/(-6) - d\/(-6). Let w = p + 57. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*b - 827 = 211 + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxkxddxxx?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (56 + -19 + 5)) + 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 47699.7077 to the nearest ten.\nAnswer: 47700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1514314 - 41?\nAnswer: -1514355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 21 = b, j + 18 = 3*j - 2*b. Let q(g) = g**2 - 5*g - 5. Calculate q(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s + 3. Let b be (-36)\/(-48) - 5\/(-4). Let j(m) = 26*m + 16. Determine b*j(q) - 11*h(q).\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 51*t**4 + 421 + 7*t**2 - 209 - 213 - 8*t**2 to d*t + s*t**2 + x*t**3 + h*t**4 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 - 14c?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0254832391 rounded to four dps?\nAnswer: -0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 105239805933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -0.4, -43\/71, 1?\nAnswer: -43\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 13323231302?\nAnswer: -13323231312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-6))\/((-2)\/(-15)). Let w be (-8)\/10*75\/z. Let u(l) = 4*l + 0*l - w*l. Let x(j) = -4*j. What is u(x(f))?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1237.01024 + 1237. Round n to four dps.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(2\/7))\/x)\/((x\/x**(3\/4))\/x))**34 assuming x is positive.\nAnswer: x**(969\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.560354 micrograms to kilograms.\nAnswer: 0.000000002560354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27117*h - 27193*h + 1064 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425540 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11944645 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-16) + (-2284905)\/6135192. Is m at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 484125 or 484127?\nAnswer: 484127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -237 (base 9) to base 5\nAnswer: -1241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.472 + 5.5. Let r = -0.028 + j. Which is the fourth biggest value? (a) -1\/10 (b) 0 (c) -2\/7 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 - 726\/5. Let x = -0.21 - -0.41. What is the second smallest value in -4, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4075952?\nAnswer: 2, 254747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1068510*z**3 - 534201*z**3 - 534245*z**3.\nAnswer: 64*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, v: 3, f: 3, d: 1, u: 1}. What is prob of sequence lfv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 3*t. Suppose -5*q - 18 = -t*m, 2 + 2 = -2*m - 4*q. Let r be -1 + (0 - -3) - -1. Solve 8 = -n + r*n, m*u - 5*n = -26 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9*i**3 + 4*i**2 + 9*i + 137. Let s(p) = 5*p**3 - 2*p**2 - 5*p - 68. Let d(a) = 4*h(a) + 7*s(a). Is 12 a factor of d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9015.\nAnswer: 3, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 168589264 to the power of 1\/2, to the nearest integer?\nAnswer: 12984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f**3 + 10*f**2 - 6*f + 2. Let t(y) = y**3 - 2*y**2 - y + 1. Let k(w) = -2*l(w) + 4*t(w). Factor k(g).\nAnswer: 4*g*(g - 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265349 times -2.6?\nAnswer: -689907.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 - 4*b - 5. Determine y(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/y**5)\/y))\/(((y\/(y\/y**(6\/5)))\/y)\/y))**(1\/5)*((y*y*y**(-1))\/(y*y**0))**(-10\/9) assuming y is positive.\nAnswer: y**(34\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-1)\/1*8)*(-32768)\/(-55296).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*c**4 - 24 + 24 + (-2*c - 2*c**3 + 2*c)*(43*c + 20*c - 15*c).\nAnswer: -87*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4*m - m**2 + (-2*m + 5 - 5)*(m - m + 2*m))*(-26*m**3 + 25*m**3 - 75*m**3).\nAnswer: 380*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21131155*i**2*z**3 - 4036*i**2*z**2 - 4*i**2*z - 5*i*z**2 wrt z?\nAnswer: 126786930*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 - 14*d + 2*d + 12*d.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100*g*x**3 + g*x**2*z + 3*g*z**3 - x**3*z**3 - 2*x**3*z + 4*x**2*z**3 wrt z?\nAnswer: 18*g*z - 6*x**3*z + 24*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162 + -163. Let w(d) = 16*d**2 + 6*d + 6. Let u be w(n). Solve -u*h = -15*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10734530 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374, 750, 1120, 1484, 1842?\nAnswer: 2194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h - 56. Let b(g) = g**2 + g - 2. What is the least common multiple of b(2) and r(-13)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 28. Determine l(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1623 and 50490989.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 580293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 674776 and -6.4?\nAnswer: 674782.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333090.\nAnswer: 2, 3, 5, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/39 and -89\/54?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6657 and 5325156029.\nAnswer: 5325156029.6657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 28 + 17 = 0. Let n = 18 + g. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087 - 7.5?\nAnswer: -7.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8382721 milligrams in kilograms?\nAnswer: 0.0000008382721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i**3 - 7*i**2 + i - 5. Let s(o) = 7*o**3 + 6*o**2 - o + 4. What is -4*l(c) - 5*s(c)?\nAnswer: -3*c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1906, -6, -2, 9, -1, 0, 1.\nAnswer: -1906, -6, -2, -1, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182772246 to the nearest integer?\nAnswer: 13519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4463 (base 8) to base 14.\nAnswer: c03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/2 + 427367 + (-5 - -7) + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3*s + 45, 2*t + 5*s + 56 = 6*t. Let o(z) = -3*z - 4. Let x be o(-3). Suppose 1 = n - x. Solve t = 3*c + 4*m - n*m, 0 = -3*c - 2*m + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = -2*d + 107 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 12*n**5 - 279*n**4 - 1167*n**3 + 8361*n**2 - 8565*n + 1638 = 0.\nAnswer: -7, 1\/4, 1, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q**2 - 25*q - 127. Let a(s) = -5*s**2 - 12*s - 64. Let j(t) = -7*a(t) + 4*l(t). Let v be j(-8). Solve -v*f - 4 = 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from memmmem?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126337*w + 182 = -126367*w - 2*b, 0 = 4*w + 2*b + 78 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10913\/3118*38\/7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2799 * 124.11\nAnswer: -347383.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.0106941 to two dps.\nAnswer: 79.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 - 27 = 5*c + a, 0 = 5*c - 2*a - 89. Solve 3*y + l + 2 = 4*y, -2*y - c = 5*l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-4)\/8*1. Let z(q) be the second derivative of -7*q**5\/10 - q**4\/12 + 5*q. Determine z(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24195 + 50999. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + f = -h + 14, 2*f = 5*h - 2. Let p be -20*63\/(-15)*h. Let c = 30 - 9. What is the greatest common factor of p and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1960) + (1*sqrt(1960) + sqrt(1960))*1)\/(sqrt(64)\/((sqrt(128) - sqrt(8) - sqrt(8))*3)).\nAnswer: 126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.546902 to one dp.\nAnswer: 247.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*1)\/sqrt(10) + sqrt(12) + sqrt(12))\/sqrt(6).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 65.863 - 0.07\nAnswer: 65.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 626.7123ml in litres?\nAnswer: 0.6267123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*-2)\/sqrt(7))**2 + 1.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Suppose w = 2*g - 11 - 9. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - u + 1. Let s be m(-1). What is the fourth biggest value in 5, 2, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28653.\nAnswer: 3, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70915 - 12432. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31130 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose v + t*v - 2 = 0. Find r, given that r**2 - v + 4*r - 2*r + r - 2*r = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962193358?\nAnswer: 2, 7, 59, 109, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 11*h + 15*h = -984, -4*f + h + 796 = 0. What is the lowest common multiple of f and 80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 take away 97358?\nAnswer: -97355.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2 + 2)*(-4 - 1 + 4) + 3*c - 4*c + 2*c - 3 - c + 3 - 7*c + 16*c - 5*c + (4 + 3 - 5)*(c - c + 2*c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -961, 3, -7 in descending order.\nAnswer: 8, 4, 3, -7, -961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21372 + -21155. Calculate the lowest common multiple of 350 and u.\nAnswer: 10850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 14. Suppose -x = -j - 0. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 z, and 1 o when three letters picked without replacement from coczc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 6:23 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 1121144330?\nAnswer: 1121144331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 12. Suppose 98 = j*d - 54. What is the lowest common multiple of d and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-5)*t*t)\/t)\/t)\/t*t*t*((t*t\/(t\/((t**(-6)\/t*t*t)\/t)))\/t)\/t*t*t)**(-18\/5)*(((t**(-2)\/t)\/t)**(8\/5))**45 assuming t is positive.\nAnswer: t**(-1278\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -34. Let j = 3 - 1. Suppose 5*k - 3 = -j*u + 15, -2*u = -8. What is the lowest common multiple of r and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20029*m - 20839*m + 11340 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u + 33*u + 1199 = -36*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 180*a - 1184.\nAnswer: -4*(a + 8)*(a + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 8)\/(52\/234).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0.15, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*q + 18130 + 9803 = -1893*q - 6096 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**5\/20 + h**4\/12 + h**3 - 2*h**2 + 6*h. List the prime factors of x(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 bigger than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 11 + (17 - (-10 - -35)) + (-28 - 2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1, 0.4, 425\/2?\nAnswer: 425\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -30. Differentiate -3 - j*z**2 + 3*z + 5 - 3*z with respect to z.\nAnswer: -26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 999588739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) - (-3 - 4). Let w = -8 + l. Let n be w + -1*3\/(-3). Which is bigger: 1\/5 or n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19004062 divided by 44506?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**3*k - 108823*a**3 - 11*a*k**3 - 286*k**3 wrt k?\nAnswer: a**3 - 33*a*k**2 - 858*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-46 + 9) - -1.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from qmveqeq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4005 + 2008 + 2001 - 202*v as c + s*v and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12514*a**3 - 9085*a**2 - a wrt a.\nAnswer: 75084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xat when three letters picked without replacement from {a: 1, u: 3, x: 3, g: 1, c: 1, t: 5}.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 2*x - 73. Let b = x + -186. What is the second smallest value in 19, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 14*k - 5. Let l(t) = 10*t**2 - 125*t + 45. Let w(r) = r**2 + 3*r + 4. Let q be w(0). Let u(h) = q*l(h) + 35*i(h). Factor u(y).\nAnswer: 5*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 2 = -b + 16*a, 0 = 5*b - a - 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2677603 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)*l*l)\/l)**(-2\/33)*(l\/(l\/((l*l**(-4)*l)\/l)))\/(l*l**0) assuming l is positive.\nAnswer: l**(-314\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2022*p - 21248*p + 146*p to the form y + v*p and give v.\nAnswer: -19080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -17 + 21 + 0 - -16\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/8 - 4321*j\/4 - 1031041\/8.\nAnswer: -(j + 121)*(j + 8521)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11434.1 + 11434. What is the biggest value in -3, x, -2\/97, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 + 30*y + 31*y - 3*y**3 - 60*y + 80 + y**2 + 4*y**3 in the form o*y**2 + j + z*y + v*y**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(72\/(-10)))\/(16\/((-2560)\/(-1300)))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-5) + (-490413)\/(-6755).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34873 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/11, 2\/7, 0.02, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3952 and -3303 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -140044044 (base 7) in base 10?\nAnswer: -9069981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35239, 68086, 100945, 133822, 166723, 199654, 232621?\n\"Answer: d**3 + 32840*d + 2398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207831 is divided by 69014.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.42 + -0.02. Let u = -125.52 - -125.96. What is the biggest value in l, u, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.2 (b) 52 (c) -1\/2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -3)\/(4\/(-8)). Suppose -4*n + 8 = -j*x, 0 = 13*n - 11*n - x - 3. Which is smaller: n or 11\/38?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -64. Solve 4 = c*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 501, 30, 9 in decreasing order.\nAnswer: 501, 30, 9, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1267, -1302, -1335, -1366?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257 + 261. Suppose 4*q - 4 = 5*x, 3*q = -v*x - 0 + 3. Let k be (-10)\/(-15) + (-2)\/(-6). Are k and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 64. Let o be g(0). Suppose 4*f + f - 69 = -4*b, -4*b - 4*f + o = 0. Suppose w = b - 1. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 188. Suppose 5*i - d - 16 = -0*i, -3*i + 4 = -2*d. Suppose -n - 3*n + 212 = -i*w, n = 4*w + k. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 + 26 = -10*k. What is the units digit of -3*(-1713)\/k*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/4 - i**3 + i**2 + 17. Let y be g(1). Which is the biggest value? (a) y (b) 0.5 (c) 1\/6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4157*o - 1031*o + 3164*o + 3733*o to the form b + g*o and give g.\nAnswer: 10023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 7. Let b(f) = 6*f**3 - 3*f**2 + 3*f. Is 14 a factor of b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 22 - (0 + -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54156, 54136, 54104, 54054, 53980, 53876?\nAnswer: 53736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**4 - 20*f**4 + 10*f**4)*(199 - 138 - 97 - 204).\nAnswer: -480*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1600, -3979, -13272, -26279, -43000?\nAnswer: -63435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/36 and -73\/1675822?\nAnswer: 30164796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3191 is divided by 1306.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35737 divided by -25?\nAnswer: -35737\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0658 - -0.6192. Round w to 2 decimal places.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 14*p - 8. Calculate b(11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iviiiivviiijjvii. What is prob of sequence iv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 826 - 307. Suppose -6*f = -9*f + v. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 872.8 - 878.263. Let i = 0.068 - 0.105. Let o = q + i. Round o to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(-2*sqrt(102)\/sqrt(2))\/sqrt(3) + ((sqrt(2448) + -1)**2 - (sqrt(2057) + -2)**2).\nAnswer: 22*sqrt(17) + 386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b16c (base 13) in base 14?\nAnswer: 1544b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -13*c + 3*c - c + 3*c. Let o(n) be the second derivative of -n**5\/60 + 9*n**2\/2 - 4*n. Let u(h) be the first derivative of o(h). Determine p(u(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/((b**(2\/45)\/b)\/b*b))))\/b**(-8\/3))**(-2) assuming b is positive.\nAnswer: b**(-416\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 959598624 divided by -319866208?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkk when three letters picked without replacement from kkkkkkkkkkkkkkkzkkk?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:33 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p. Let q(j) = -3. Let s = 35 - 31. Let l(m) = m - 4. Let x(t) = s*q(t) - 3*l(t). Calculate n(x(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 257483707*n*w**2 + 1573*n*w + 2481*n + w wrt w?\nAnswer: 514967414*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29799.814 rounded to the nearest 100?\nAnswer: -29800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/11239 less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37995511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f = -22*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + 8 - (5 + 1). List the prime factors of 6\/15 - 508\/v.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.13957, -1\/3, 3\/2.\nAnswer: -1\/3, -0.13957, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 59527893.6 minutes in weeks?\nAnswer: 5905.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -9*z**2 + 1\/3*z**3 - 1\/20*z**5 + 0 + 0*z - 1\/12*z**4. Calculate s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 28*t**2 - 30*t + 30. Let j be x(29). Let f(p) = 2*p + 2. Let i(s) = -78 + s + 78. Calculate j*f(g) - 5*i(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 4:17 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.02 * 12\nAnswer: -12.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let h = 7 - 9. Let f be d(h). Sort 5, -1\/6, f in increasing order.\nAnswer: -1\/6, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -748 - -2456. Let c = s - -249. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 13*z + 12. Let u be p(-12). What are the prime factors of 11 - (-2 + u + -1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27370030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*p + 2. Suppose s - a = -p + 1, -5 = -a. Solve v = -2*k - 3*v - 6, -3*v = 4*k + s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**3 - 408*g**2 - 402*g + 812 = 0.\nAnswer: -203, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -71 (b) -2.1 (c) 0.4 (d) 3\/8 (e) 0.0314 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2961 and 4529.\nAnswer: 1915767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z. Let y be l(-3). Suppose 6 = 5*w - j, 5*j = -5*w + 34 - 4. Let g(s) = s**2 + 2*s. Let v(i) = -i**2 - i. Give w*g(k) + y*v(k).\nAnswer: -4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296869 and 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/4*35\/546*39.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 241 = y, 0*y - 2*y - 244 = -v. What are the prime factors of v?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6968124 to the nearest integer?\nAnswer: 2640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4258, -8524, -12800, -17092, -21406, -25748, -30124?\n\"Answer: -b**3 + b**2 - 4262*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.89 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158148 and 45540.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cab71 (base 16) in base 11?\nAnswer: -1073709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.4 - 34.141. Let n = 0.651 - 0.71. Let d = v + n. What is the closest to 2\/5 in 1, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Suppose -4*r = -2*h - 228, -3*r + 267 = 2*r + 2*h. Let g(i) = r*i - 50*i + 0 + 0. Calculate g(y(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6\/743 + -61693\/2972. Let z = 71702\/39 + -1838. What is the common denominator of a and z?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1419 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/8408 and -71\/32?\nAnswer: 33632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 76. Let r = -303 + 300. Put -11, u, r, 2\/11 in increasing order.\nAnswer: -11, r, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185\/4 + -46. Let h be (1 + 6\/(-10))*-5. Let d = 0.04 + 0.06. Which is the second biggest value? (a) v (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 63*i - 405. Let d be a(9). Solve d = -0*z + 10*z + 30 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44798145 is divided by 75291.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69417*d**3*w**3 + d**3*w**2 + 17*d**3*w - d**2*w**3 + 4297174*d**2*w wrt d?\nAnswer: 416502*w**3 + 6*w**2 + 102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.82618ml in litres?\nAnswer: 0.01182618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) + 131170\/44. Suppose -2*p - 4*v + 4372 = -1574, -5*p + 14883 = v. Let o = c - p. What is the common denominator of o and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22722?\nAnswer: 2, 3, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*x - 4*k + 30516 = 109*x, k + 15240 = 2*x. List the prime factors of x.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/4 (b) 2974.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -417 - -272. Let l = d - -153. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7598.\nAnswer: 2, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + ((-3)\/(-5) - 820\/200)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2781*i - 3966 - 7258 = 2689*i for i.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 14) + 6 - (-13 - 8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + g - 4. Let v be o(-9). Let r = v + 141. Calculate the highest common factor of 188 and r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 11*d**7\/5040 + d**6\/45 - d**5\/4 - 15*d**2. Let y(s) be the third derivative of m(s). What are the prime factors of y(13)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = r + r. Let b = 180 - r. Calculate the remainder when b is divided by (-4)\/(-14) + (-145)\/(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 2316808?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -240, -384, -288, 168, 1104, 2640, 4896, 7992?\n\"Answer: 20*d**3 - 284*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 2*c**3 + c**3)*(159 + 14 - 52)*(0*c**2 + 0*c**2 - 3*c**2).\nAnswer: -726*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16219\/15 + -1081. Let o(x) = 3*x - x**2 - 4*x**2 + 2*x + x**3 - 3. Let r be o(4). Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/((-42)\/135)*2. Let x = -41 - u. Suppose -d = x*f - 44, f - 4*d = d + 32. What is the highest common factor of 24 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 27, 44, 61?\n\"Answer: 17*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 41710.92286 to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2640 by -440.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 376.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let b = -618 + 619. Let x(z) = -z - 1. What is b*x(k) - 3*d(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2697.6 to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l - l)*((-l - 3*l + 3*l)*(5*l**2 + 2*l**2 - 15*l**2) - 5*l**3 + 4*l**3 + 3*l**3) + 2*l + 2*l**4 - 2*l - l**4 + 3*l**4 - 4*l**4.\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 9*f = 14*f + 620, o - 115 = -2*f. Let i = o + -111. What is the least common multiple of i and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + m**2 + 2*m**2 + (0*m + 3*m - 7*m)*(-3*m + m + 8*m) - 205*m**2 + 441 - 441 to z*m + a*m**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 3:56 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -1 (c) -11\/2 (d) 5 (e) 0.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84\/299, -4, -1\/4, 0.5.\nAnswer: -4, -1\/4, 84\/299, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32573877 to the power of 1\/2, to the nearest integer?\nAnswer: 5707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s + 8. What is d(5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwrfwrwrwwwfr. Give prob of sequence rwf.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*u + o - 262, -2*u + 11 = -5*o + 1. Calculate the smallest common multiple of u and 268.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + 4*i + 2. Let h be o(-2). Suppose h*s - 5*m = 52, -s - 3*m = 3*s - 52. Solve -4*d + s = -0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 20 = -5*s + v, 3*s - 4*v = -2. Suppose -s*z - 1 = -1. Which is the nearest to z? (a) -2\/11 (b) -3\/8 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {h: 1, g: 5, a: 6, z: 2, r: 3, y: 2}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/871700 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 1539 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-112)*4)\/((-5)\/(210\/12))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 267*p - 10*p**2 + 7*p**3 + 4*p**3 - 267*p wrt p.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2437 = -4*g - 4*l, -4*l - 1658 = -2*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -11, -3 in decreasing order.\nAnswer: 3, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000321314 rounded to six decimal places?\nAnswer: -0.000321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 154513?\nAnswer: -154517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -18*l - 1. Let h be (1\/(-1))\/(-6 - -7). Calculate the remainder when s(h) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b1a964 (base 13) to base 16.\nAnswer: -88c45e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + 1.072.\nAnswer: 1.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(54\/156)\/(-9).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 167046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135*-21627.\nAnswer: 2919645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b65d7 - -2?\nAnswer: 1b65d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14)*6*30*(-5929)\/5445.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9371433343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/31 and 18\/413.\nAnswer: 12803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8601, 8539, 8373, 8055, 7537, 6771, 5709?\nAnswer: 4303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:55 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 2645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1, 926, 213 in ascending order.\nAnswer: 1, 4, 5, 213, 926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 4*i)*(-i - i - i)*(23*i - 23*i - 6*i**2) + (2*i**2 - i**4 - 2*i**2)*(-2 + 4 - 1) in the form c + g*i**3 + y*i + q*i**2 + a*i**4 and give a.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -980341430 and -422.06.\nAnswer: -980341852.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/7)*w*w\/w**(2\/13))**(38\/3))**(-5\/11))**4 assuming w is positive.\nAnswer: w**(-137560\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 770*r - 7. Let o(y) = 772*y - 7. Let l(h) = 5*c(h) - 6*o(h). Is l(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1 (c) 0.053\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3718829.\nAnswer: 59, 63031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:18 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2022783559?\nAnswer: 2022783559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtnt when four letters picked without replacement from {t: 3, g: 1, p: 4, v: 3, e: 2, n: 3}.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80382, 80369, 80350, 80325, 80294, 80257?\nAnswer: 80214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) + 71533\/33. Let q be 3\/(-7) + x\/28. What is the greatest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*((-1)\/(-2))\/(77\/42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7844 - (-330)\/(-15)) + -14.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**3 - 111*z**2 + 21*z + 319. Let t(j) = -j**3 - 22*j**2 + 4*j + 64. Let v(i) = -2*o(i) + 11*t(i). Find the second derivative of v(y) wrt y.\nAnswer: 6*y - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 21*b - 7. What is n(7)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*p**3 - 643*p**3 + 339*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -14, -0.01, -1.5, -2\/11?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(84) + (sqrt(84) + sqrt(84)*1)*-4)\/((sqrt(300)\/sqrt(5))\/sqrt(5)).\nAnswer: -42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 6*u - 12. Give c(9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -2, 11, -1, 4, -357 in ascending order.\nAnswer: -357, -2, -1, 4, 11, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1*sqrt(75))**2 - (sqrt(75) + (0 + sqrt(75))**2 + 0)) + sqrt(75)*2*5 + sqrt(75)*-2*6 + -1 + -4.\nAnswer: -55*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -88.5 and -0.2?\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 1. Let u(s) = s**2 - 7*s - 4. Let a be u(8). Suppose 2 = -a*o - 2. What is the units digit of d(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 11:41 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1224557337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/5 and 53\/1065.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 42. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.7 + -18. Let g = 227.2 - 228. Let d = f - g. Round d to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/129, -1\/6, 3\/7, 0, 2, -110 in decreasing order.\nAnswer: 2, 3\/7, 0, -2\/129, -1\/6, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 8*f**2 + 11*f + 2. Let b = 37 + -45. Let s(c) = c**3 + 10*c**2 + 8*c - 6. What is the remainder when s(b) is divided by z(9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 146?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.51 less than 172.35?\nAnswer: 125.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1689\/2? (a) -0.3 (b) -5 (c) -3 (d) 43\/2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015909 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 0. Is -2 - ((-59 - x) + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*l - 25. Suppose k + 3*k = l. Suppose v - k = -2*v. Calculate the remainder when 2 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -3 - (28 + -15 - 39)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03 and -77107476834.\nAnswer: -77107476834.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 + 53*z**2\/3 - 218*z\/3 + 220\/3.\nAnswer: (z - 2)**2*(z + 110)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7390, -9325, -12524, -16993, -22738, -29765, -38080, -47689?\nAnswer: -58598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 190669 (base 12) in base 10?\nAnswer: 436401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -73?\nAnswer: -32\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -61559000 rounded to the nearest one million?\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85652046539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 19*l + 59. Let z be f(4). Let v = -182\/33 + 46\/11. Which is the closest to z? (a) v (b) 30 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12980 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5395*h + 10785*h - 5387*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 531 = 3*n. Let j = n + -24. Calculate the highest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.094759 and -6?\nAnswer: 0.568554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224488455 - -194.\nAnswer: -224488261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12310606 divided by 879329?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*t = -542*t + 4186 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -70, -113, -158, -205, -254, -305?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 2*h**4 - h**3\/3 - h**2\/2 - 2*h - 24. List the prime factors of d(-4).\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2872828\/2349 + 1223. Is o at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34940 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175129 = 5*l + 669769. Let c be (-17)\/((-102)\/l) + -2. Round c to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*h + 358 - 9, -3*s - 2*h = -356. Suppose s - 12 = -2*v + r, 3*r - 63 = v. Which is bigger: v or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.215466 + -0.2224. Let f = m - -0.007. What is f rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 690, 1940, 4024, 6942, 10694, 15280?\n\"Answer: 417*x**2 - x + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13435 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6557, 13071, 19585?\nAnswer: 26099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -29. Let b = h - -14. Suppose -15 = -b*r + 77. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14a54 - -13c?\nAnswer: 14b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 72.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, s: 2, t: 4, b: 5, e: 1, w: 3}. What is prob of picking 2 b and 2 t?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 7)*(-3*h**4 + h**3 - h**3).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*a - 21, 7*a - 17 = -l + 3*a. Calculate the remainder when l is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 7*i**2 + i**2 + 0*i**2 - 16*i**3.\nAnswer: -16*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 0 - 4 - 6. What is the remainder when 46 is divided by p(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 divided by -4?\nAnswer: 215\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663174 to the power of 1\/2, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 1, p: 1}. Give prob of sequence pw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2212)\/(-948)*(-99)\/105?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2264, 0.02 in increasing order.\nAnswer: 0.02, 4, 2264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10852152 and 8.\nAnswer: 10852152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 5*x + 6. Let c be g(5). Let b(w) be the second derivative of 0 + 1\/6*w**3 - 2*w**2 + 8*w. Determine b(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 - -1. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0*t**2 - 1\/120*t**5 - 1\/3*t**3 + 0 - 2*t - 3\/8*t**4. Let f(a) be the second derivative of o(a). Determine f(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 96 - 107. Calculate the greatest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60 - 220428\/(-3672))*-782\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -81c0 + -4?\nAnswer: -81c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -41*q**8\/336 + q**7\/15 + 1003*q**4\/24 - q**2 - 41. What is the second derivative of s(i) wrt i?\nAnswer: -820*i**3 + 168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 5*j**4\/12 + 11*j**2\/2 + j. Suppose 0 = 7*a - 3*a - 16. Let x(k) = 2 + 0*k**2 - 3*k**2 + a*k**2. Give -4*u(n) + 22*x(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 23*m**2 - 29*m - 51. Let k be (50 - 48) + 46\/2. What is the units digit of p(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4268.7 + -4481. Let r = -259.72 - b. Let w = -48 - r. Round w to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 13397 = -l, 6712 = 5*l + h - 60325. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:08 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1417848071 - 0?\nAnswer: -1417848071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -55.3*-0.2\nAnswer: 11.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1710616 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 - 376610?\nAnswer: -376570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(325) + sqrt(325))*4)**2 - ((sqrt(468) - (sqrt(468) + 2))**2 + sqrt(468))*3.\nAnswer: -978*sqrt(13) + 20932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 1. Suppose 3 + 2 = 5*k. Let m(d) = -d**2 - 9*d - 8. Let p(f) = k*m(f) - 4*i(f). What is the units digit of p(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + 72 + (-2 - -8 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/113 and -27\/218?\nAnswer: 24634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19818137 and -17505.\nAnswer: -19835642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.097 (b) 66 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - 1) + (1331 - 1292) + 105\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**4 + 2*j**2 - 2*j**2 + (8*j**2 + 4*j**3 - 8*j**2)*(-2*j + 3*j - 3*j).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 6. Let f be s(4). Let c be 0\/(f + 0\/3). Suppose l + 2*l - 62 = -4*o, c = 3*o - 5*l - 61. What is the remainder when 33 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -434055 or -434053?\nAnswer: -434055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((2*(sqrt(147) - 2*sqrt(147)) + 3)*-5 + 4))**2.\nAnswer: -13860*sqrt(3) + 133389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 4, w: 1, t: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8076 and 16.\nAnswer: 32304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by -361?\nAnswer: -106\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.79 or 176422?\nAnswer: 176422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 2491705*x + 2491710.\nAnswer: -5*(x - 1)*(x + 498342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3311 (base 9) to base 11\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, -17, -73, -149, -251, -385, -557, -773?\n\"Answer: -u**3 - u**2 - 32*u + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1700) - sqrt(1700)*1)**2 + -2 + -3 + sqrt(1700) + 0 + -4 + -3*(2 + sqrt(1700)).\nAnswer: -20*sqrt(17) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*k - 16*k - 4. Find the second derivative of k*l**5 - 15*l**4 - 6 - 9*l**5 + 7*l**5 + 10*l + 2*l**5 + 5 wrt l.\nAnswer: 80*l**3 - 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-274)\/685)\/((-16)\/56))\/(((-4)\/(-2))\/(-2)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619 a factor of 320438506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 11*c + 48 = 0, -q - 12 = -35*c + 31*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 50, 2, -5, 1\/2?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3712*l**3 + l**2 + 6*l - 376. Let f(m) = -m**3 + m**2 + m + 19. Let k(g) = -f(g) + v(g). Find the second derivative of k(o) wrt o.\nAnswer: -22266*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 24*p + 176. Which is smaller: p or -41?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/((-1)\/(-5))*(-252 - (-1839235)\/7300)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5724000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2 + 299835*n - 27260142 = 0. Calculate n.\nAnswer: 91, 99854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - m - 1. Let y(k) = -6*k**2 + 11*k + 10. Let o(v) = v + 1. Let j(n) = -6*o(n) + y(n). Calculate -5*h(s) - j(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -47358443 at least -47358434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 6\/9)*3. Is 5 - (2 - k\/1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + x**2 - 2*x**2 + x - 3. Let f be v(-6). What is the highest common factor of 108 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, -2\/13, -3\/14, -0.5 in increasing order.\nAnswer: -2, -0.5, -3\/14, -2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -450, -687, -924, -1161?\nAnswer: -1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 120524410 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48.60538 - 48.6. What is c rounded to 4 dps?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 - 63 = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/6 + (25 - 85280\/3264).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -64 - ((1 - (2 - 2)) + (1547 - 1553))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = 309*p - 328*p. Let b(h) = -h**3 - h**2 - h + 70. Let q be b(0). Calculate the highest common factor of q and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -5*t**3\/6 + t**2\/2 + t. Let d be k(-1). Suppose 3*c - d = 6. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/90*3)\/(238\/255))\/(-3)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36667775083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 2083?\nAnswer: 207d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0, -4\/25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 186528.9 litres?\nAnswer: 186528900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0 (b) -2\/9 (c) -24\/73 (d) 0.5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -237 + 234.7. Let y = a + 1.9. Sort 1, 2\/11, y, 16\/5 in descending order.\nAnswer: 16\/5, 1, 2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1)*(-3)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/(-62))\/(1\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10739 - 214891\/20. Find the common denominator of q and -35\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, a: 1, g: 1, x: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7968)\/(-18)*(-694 + -2). Let z = g + 698096. Round z to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**4\/13 + 366*x**3 - 866660*x**2\/13 = 0.\nAnswer: -2549, 0, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000330310 (base 4) to base 8.\nAnswer: -24007464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-10)*4)\/((-312)\/1040).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 606 times -4\nAnswer: -2424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 10:18 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14280, -14471, -14808, -15297, -15944, -16755, -17736?\nAnswer: -18893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmodkudcdumu. What is prob of picking 2 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-1))\/(7\/(-6580)). Let k be (38\/171)\/(2\/o). Let r = k + -637. Find the common denominator of r and -64\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + 26. What is the least common multiple of 36 and u(-5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.208 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*w + 17, -5*w - 52 = -4*y - 12. Let c be y\/(-2)*54\/(-45). Suppose 2*a - k + 7 = c*a, -27 = -5*a - 3*k. Solve 5 = 2*o - a*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -13, -58, -153, -316, -565?\n\"Answer: -3*y**3 + 2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 0. Suppose -2*x = -10 - a. Let d be x + -3 + 0 + -3. Solve -3*o - 18 = -d*k, 4*o + 21 = k + 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 9*o - 15. Solve -o*c + 5 = -5*t - 7, -c = -4*t - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5200\/(-90))\/(-130))\/((-4)\/(-756)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i**2 - 8*i + 17. Suppose 6 - 72 = -11*z. Let m be w(z). Put 2, -3, m in decreasing order.\nAnswer: m, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 27 = -9*a. Suppose 13*x = a*x. Sort 2, x, -5 in increasing order.\nAnswer: -5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -2. Let s(a) = 6*a**3 - 2*a**2 + 1. Let x be s(g). What is the second derivative of -x*v**2 + 8*v**2 + 3*v - 3*v**2 - v**4 wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 12*z**3 - 367*z**2\/2 + 738*z - 414 = 0.\nAnswer: 2\/3, 6, 69\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4*o + 4*o)*(-2*o**3 - 5*o**3 + 5*o**3) + 8*o**4 - 4*o**4 - 6*o**4 + 208*o**4 - 163*o**4 + 245*o**4.\nAnswer: 286*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2229383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109 and 1417.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 411191529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 5*c. Let m be h(5). Suppose -7*i + 3*i + 8 = m. Suppose -i*k + 8 = -4*d + k, k - 5 = -d. What is the remainder when 1 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 2*f + 3. Let p(m) = -444*m**2 - 10*m - 224. Let o(w) = -p(w) + 5*r(w). What is the derivative of o(a) wrt a?\nAnswer: 868*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**4 + 81457*h**3 + 1461765*h**2?\nAnswer: 96*h + 488742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 115*p**2 + 11*p - 2. Let q(c) = -114*c**2 - 8*c + 2. What is 3*q(j) + 2*r(j)?\nAnswer: -112*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 7, 5 in decreasing order.\nAnswer: 7, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2173076891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/686)\/(((-169)\/(-13))\/1456)?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from ttgrvrvvttxrtt?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464075?\nAnswer: 5, 19, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3 + 3. Let n(a) = 3*a**3 - 3. Calculate -4*n(s) - 3*t(s).\nAnswer: -3*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75.2 and -49?\nAnswer: -3684.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2\/21*(-48)\/32.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 49*r - 64. Is g(5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -778 - -1643\/2. Calculate the common denominator of h and 89\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 10 = 5*n + 4*m, 4*n + 2*m = 20. Which is the closest to 2? (a) 3 (b) -5 (c) n (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-29)*z**(-17\/2)*(z**4)**(-17))**(-10) assuming z is positive.\nAnswer: z**1055","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802587710.\nAnswer: 2, 5, 41, 109, 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2 + 2)\/2)\/(-1). Suppose 5*k + 25 = m, 26 = 3*t - 2*t - k. Let w = -519 + 522. Calculate the highest common factor of t and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4077 + 202. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 2601\nAnswer: -2601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmfxxmmxfxxmw. What is prob of sequence mm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0*(-3)\/3)\/1. Suppose p - 80 = -m*p. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) 0.3 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(9 - (-8)\/(-2)). Suppose o*q - 49 = 1016. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 11522111?\nAnswer: -11522103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 276724472*b**2*f**3 - b**2*f**2 + 29*b**2*f - 8*b**2 - 10*b*f**2 + 2*f**2 - 1448 wrt f.\nAnswer: 1660346832*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.13, 1, -9, 0.2, 64, 2, 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32995297 to the nearest integer?\nAnswer: 5744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/236 and 53\/267978.\nAnswer: 535956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22743 is divided by 1236.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11221113 (base 4) in base 15?\nAnswer: -6cbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 7) in base 12?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -18. Suppose -2*u = 4*j - 26, -2*u + 2*j + 62 = 12. What is the remainder when u is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0*s + 2*s**2 - 1\/30*s**5 + 0 + 0*s**4 - 1\/6*s**3. What is the first derivative of f(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*u - 16 - 85*u**3 + 61*u + 89*u**3 to the form i*u**3 + v + p*u + x*u**2 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10214 (base 5) to base 2\nAnswer: -1010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -473 divided by -11.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 430 - 448.7. Let a = -19 - s. Let w = a + -1.7. What is the third smallest value in -0.4, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {c: 2, v: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15647629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49.61 or -1155?\nAnswer: -49.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**3 - 3*f**2 + 3*f + 3. Let n(q) = -20*q**3 + 10*q**2 - 10*q - 10. Calculate 3*n(g) + 10*w(g).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1077475, 2154951, 3232427, 4309903, 5387379?\n\"Answer: 1077476*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*o + 3*o - 18, n = -4*o - 9. Suppose -s + n = -0, -4*c - 3*s + 189 = 0. Let r = c + 12. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*z = 310, 0*z = 3*z + 6. Calculate the remainder when m is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/215 + -444\/1505. Let j = 4.34 - 3.84. Put j, d, -3 in descending order.\nAnswer: j, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.02 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-7) - (10 - 9750\/91). Calculate the greatest common factor of y and 833.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3650 is divided by 1130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*o = 9, -o + 4*o - 9 = -3*u. Solve 3*g - t = 2, u = g + t + 2 - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1206 + -1178.8. What is m rounded to 0 dps?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59, 122, 201, 302, 431, 594?\n\"Answer: b**3 + 2*b**2 + 50*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 + 149*o + 414. What is r(-27)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 2*l + 2 + 2 - 3. Let b be (-355)\/(-25) + 2\/(-10). Let m(n) = -10*n + 4. Calculate b*r(d) - 4*m(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k. Let p(m) = 6*m + 1. Let z(b) = 101*b + 2924. Let c be z(-29). Let n = 2 - 3. What is c*v(l) + n*p(l)?\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u - 88 = -11*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -56 - -17 - (16 + 7 + -4 + -6)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-32 + (12 - -28))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p**2 + p - 4. Let u(v) = 19*v**2 + v - 8. Determine 3*u(m) - 5*x(m).\nAnswer: 7*m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-3)*6\/(-7). Let o(t) = t - t**2 - a*t - 2*t + 0 + 8. Give o(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.45 from -927851743378.\nAnswer: -927851743377.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 9. Give c(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 - 17 + 68 + 81*d to the form r + m*d and give m.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 11 = -14. Let c(q) = -4213 + 12634 - q**2 - 4212 + q - 4210. Let d(r) = 3*r**2 - r + 4. What is y*c(f) + d(f)?\nAnswer: -2*f**2 + 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33966, 68800, 104508, 141096, 178570, 216936, 256200?\nAnswer: 296368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1101 + 164. What is the greatest common divisor of 165 and n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/3 - 16022*r**3 - 3927964*r**2\/3.\nAnswer: -2*r**2*(r + 82)*(r + 23951)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 65*z**2 + 97*z**2 - 18*z**2 - 14*z**2.\nAnswer: 130*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - ((8\/3)\/(-1))\/((-15)\/(-135)). Suppose 0 = q + 3*r - 7*r - 18, -5*r = 4*q - 135. Calculate the highest common factor of x and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36.4 - -38. Let t = n - 0.76. Let a = 2.16 + t. Sort a, -1, -0.1, -6\/11.\nAnswer: -1, -6\/11, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11578 + 671503\/58. Find the common denominator of m and -17\/6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**4 + 2*g**5 - 4*g**4)*(0 + 0 + 2 - 4 + 0 + 6 + (3 + 0 - 4)*(-2 + 3 - 3)).\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*2\/(-4)*2. Let u(c) = c**3 - 3*c**2 - 2*c - 3. Let a be u(y). Suppose i + 5 = 3*o - 2, 9 = -a*i + 2*o. Does -3\/13 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -14. Suppose -6*d = -10*d + p. Suppose -7*j**3 - 4*j - 23*j**4 - 12*j**3 - 17*j**2 + 4 + d*j**5 + 54*j**3 = 0. What is j?\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -4, 2, -8, 5.\nAnswer: -8, -4, 2, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5011123 to the power of 1\/2, to the nearest integer?\nAnswer: 2239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 6. Let s = -20 + v. Suppose -3*l + 30 = -l + 3*z, 30 = s*l - 4*z. Calculate the remainder when 58 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a**2 - a + 4. Let d be s(0). Suppose 0 = d*m + 16, -3*c - 4*m = -5*m - 232. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 8 + 37. Sort 2, 3, u, 0 in descending order.\nAnswer: 3, 2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 723, 1612, 2847, 4422?\nAnswer: 6331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-841)\/(-7656)*3 + ((-240)\/44 - -6)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 0.1425\nAnswer: 1.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-66 + (-1 + 7 - 4) - -11)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = 29*j - 122*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 - 411*k + 1231*k - 1 - 413*k + 3*k**4 - 408*k to the form d*k**4 + x + y*k + m*k**2 + n*k**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**3 + 8*y**2 - 32*y - 223. Calculate k(-6).\nAnswer: -1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 12996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54331045 - -5?\nAnswer: 54331054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 9*r**5 + r**3\/3 - 39*r**2 + 8. Find the second derivative of b(i) wrt i.\nAnswer: 540*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + -1 - (14 - (-40491)\/(-207)). Which is greater: 178 or c?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 684, 1364, 2044, 2724?\nAnswer: 3404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 33565 and 33564 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*i + 137, -2*y + 379*i + 246 = 376*i. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1358, -1320, -1222, -1034, -726, -268?\n\"Answer: 5*v**3 + 3*v - 1366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/1088)\/((-95)\/115520).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-11) - (-6370)\/55. Let g = j - 56. Suppose -3*n + g = n. Calculate the remainder when n is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 14. Let p(z) = -z - 13. Let g(v) = 2*p(v) - 3*s(v). Let x be g(-18). List the prime factors of 125 + (-2 - -12)\/x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(847) + (sqrt(847) - -4*-2*sqrt(847))))**2.\nAnswer: 762300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.02 and -258479.4.\nAnswer: -258473.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrldrrdl. Give prob of sequence ddl.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9374 + 13124. Is o a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 233, 774, -23, 7 in increasing order.\nAnswer: -23, 7, 233, 774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 219 and 2115248.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 3*f**2 - 4*f + 3. Let s(y) = -y**2 + 13*y - 21. Let i be s(7). Suppose -i = -6*p - 3. Give u(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -10*c + 470. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/10 + 339249955\/(-25) + -1. Round r to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**4\/2 - 24365*y**3\/2 - 146375*y**2\/2 + 24365*y\/2 + 73185 = 0.\nAnswer: -6, -1, 1, 4879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -55. Let w(f) be the first derivative of u - f**2 + 9 + 0*f**2 + 6. Let z(t) = -10*t. Give z(w(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*n + 14 = -3*n, 0 = -2*h - n + 2. Suppose h*r = -5 - 1. Let a(p) = p**3 + 12*p**2 + 51*p + 150. Let b be a(-8). Are b and r nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-13)*2 + (-94)\/(-104)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28408, 28392, 28364, 28324, 28272?\nAnswer: 28208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*v - 5 = 0, 0 = 5*x - 2117*v + 2121*v - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/7)*(p\/p**(-4))\/p)\/(((p\/p**(2\/9))\/p)\/p**0) assuming p is positive.\nAnswer: p**(257\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -3. Suppose 26 = l*k + b, 5*b - 6 = -k + 4. Suppose 0 = -s - 2*z + 5 - 3, -s + 2 = k*z. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561222209 to the power of 1\/3, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 601850994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*t - 6*t + 8881*t**6 + t**2 - 8620*t**6 wrt t?\nAnswer: 31320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -647514 divided by -13.\nAnswer: 647514\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -43. Let w(o) be the second derivative of o**3\/6 + 9*o**2\/2 + o. Let h be w(-9). Solve 4*r - x - 19 = h, -4*x - m = 2*r - 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(1452) - sqrt(1452)*2))\/(-4*sqrt(24)\/sqrt(6)) + 3.\nAnswer: 3 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 73675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 5*f**2 - 4*f + 9. Let u(r) = 3*r**3 - 7*r**2 - 6*r + 13. Let x(i) = -5*u(i) + 7*y(i). Let l(a) = 3*a**3 - 7*a + 7. Give 6*l(v) + 21*x(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -2) + 4 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/744 and -43\/48.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 divided by 34?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u + 1. Suppose -5*j - u - 7 = 0, -j = 4*b + 22. Let n(k) = 2 + 5*k**2 - 6 - 6*k**2 - 5*k - 3. Give n(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2606 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.210468 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 4. Suppose -3*q - 10 = -0*y - y, 0 = y - 4. Let d(t) = -4*t - 5. Let k(j) = -2*j - 3. Let z(x) = -2*d(x) + 5*k(x). What is q*z(g) - 3*u(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 2. Let o(n) = n. Let r be o(6). Let g = r - u. What is the greatest common factor of g and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)*z**12)**(3\/10)\/((z\/(z\/(z\/z**(-6)*z)))\/(z*z\/((z**7\/z)\/z))*z**7*z**(-2\/9)) assuming z is positive.\nAnswer: z**(-1267\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686 is divided by 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 8*f + 9. Let u be c(-3). Let q(a) = a**2 + 9*a + 27. What is the units digit of q(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -760365 (base 10) to base 13\nAnswer: -208128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 397.419945 to 0 dps.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 364\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -24. Calculate the remainder when (-25)\/(-2) - (-3)\/(-2) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**(1\/14)*z**11\/(z*z**(-13\/5)\/z) assuming z is positive.\nAnswer: z**(1899\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1664064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -67762.9378 rounded to the nearest one thousand?\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (134392\/535)\/(-314)*(-1)\/186*5?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3763 and 212?\nAnswer: 15052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 160*p**2 - 81*p**2 - 77*p**2. Let i(y) = -11*y + 1. Determine s(i(u)).\nAnswer: 242*u**2 - 44*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**5*v**(1\/7)*(v\/(v**(-2\/31)\/v))**(-26) assuming v is positive.\nAnswer: v**(-10532\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q = -12. Let l(b) = -b**3 - 5*b**2 + 6*b + 6. Let n be l(q). What is the least common multiple of 6 and ((-2)\/n)\/(1\/(-27))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 20*b**2 - 19*b + 9. Let u be f(-8). Calculate the remainder when (-2)\/(-1)*u\/22 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1366596*-6.\nAnswer: -0.8199576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(3*c**2 + 2*c**2 + c**2)*(19 + 7*c - 19).\nAnswer: -84*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:42 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1579, -1546, -1493, -1420, -1327?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n - 8 = 0. Suppose -20 = 5*j, n*q + 4 = -q - 4*j. Let s be (-8)\/(-1) - (6 + -3). Are q and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-4812089.\nAnswer: -38496712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 7:45 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + -2)\/((-1)\/(-2)). Suppose -4*h = c - 207, -4*h + 0*h + 219 = 5*c. Let p = a + h. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*(-5*(sqrt(264) - (sqrt(264) + 3*(-1*sqrt(264) + sqrt(264)) + sqrt(264)))\/sqrt(6))**2.\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4110\/42)\/5 - 20\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2636153843 + 3*s**3 - 2636153843.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462 and 19327.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 4*o + 38, -2*u + 11*u - 6*u - 19*o = 127 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -231*w - 88. Let z = -515 + 603. Let l(a) = 8*a + 3. Give z*l(s) + 3*o(s).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1276380, -1276443, -1276506, -1276569, -1276632?\nAnswer: -1276695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 318023 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.7 + 2. Let p(j) = 2*j - 21. Let r be p(10). Let o be (2 + -1)*r\/(-1). What is the nearest to o in -3\/4, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5 - 1. Suppose -3*r = -4*f + 16, -2*f - r + 8 = 4*r. Sort 5, g, f in decreasing order.\nAnswer: 5, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005254 (base 6) in base 2?\nAnswer: 1011101011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**0)\/s)*s**(-13\/2))**(2\/17) assuming s is positive.\nAnswer: s**(-11\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 44 = -150 - 69 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727394?\nAnswer: 2, 367, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 8:47 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k - 4. Let z(f) = 9*f - 5. Suppose 990 = -186*q - 12*q. Give q*z(x) + 6*j(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7 + 7*c - 603*c**2 + 4 + 602*c**2. Determine l(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 64\/9 (b) 1.5 (c) -5 (d) 0.04 (e) -0.2 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010111 - -1101101011?\nAnswer: 10110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10122312 (base 4) in base 2?\nAnswer: -100011010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-18) - (-26)\/(-4). Does 10 divide -5 - m\/((-14)\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g + 161 - 533 = 0. What are the prime factors of 1294\/(-6)*(6 - -3 - g)?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21993 + -21981. Calculate the highest common factor of 6828 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 11. Let s(u) = -u + 1. Let r(o) = -a(o) - 3*s(o). Let j(x) = x**2 - 4*x - 8. Let h be j(5). Let n be r(h). Let b(y) = -2*y + 5. What is b(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*d - 89 - 474 = 220 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4185, 4276, 4379, 4494, 4621, 4760?\n\"Answer: 6*d**2 + 73*d + 4106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 967*n**3 - n**2 - n + 2. Suppose -5*q - 484 + 49 = 0. Let u = q - -88. Is k(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123 + 173. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 7. Let y = 0 - r. Let c(o) = -6*o + 13. Let j(d) = 3*d - 7. Let n(h) = 6*c(h) + 11*j(h). Determine n(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 5, -4, 23 in increasing order.\nAnswer: -4, 0, 3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 5*t**2 + 6*t + 1. Let v be b(-6). Let p = 7 - v. Differentiate -7*r**2 - 1 - p*r**2 + 11*r**2 wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 705.4 - 704.9. What is the nearest to 14 in -3, -2\/7, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 83274, 165757, 248240, 330723?\n\"Answer: 82483*n + 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 27*o**2 + 2. Let n be f(2). Calculate the greatest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 80 = 76. Which is the closest to p? (a) 3 (b) -0.04 (c) 0 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*f - 22*f**2 + 26*f**2 + 1 - 15*f)*(5 - 1 - 3)*(4*f + f - 3*f).\nAnswer: 8*f**3 + 14*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 5*j - 66, 8*i + 1768 - 1773 = -j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -4)*(278 - 1). Let s = j - 173. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1778 and 22\/5.\nAnswer: 8890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3405443, 3405448, 3405453?\n\"Answer: 5*p + 3405438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 21135 - 21135.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3949295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26724 divided by 170?\nAnswer: -786\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-14) + 3\/((-42)\/4). Let k = 0.41 - 0.01. What is the closest to n in k, 1\/6, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057)*3*-5.\nAnswer: -165*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/((-34)\/8).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1596 and 7406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 0.2 (c) -0.5 (d) 3\/88 (e) -2\/59 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 4*s**2 + 4. Let h(j) = 3*j**3 - 11*j**2 + 11. Let a = -6 - -10. What is a*h(o) - 11*n(o)?\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 29*z**2 + 11*z - 48. Let x(d) = -3*d**2 - 23*d + 21. Let w be x(-9). Let i be p(w). Solve i = -13*t + 9*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 9962?\nAnswer: -9966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 71236284 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2846, -23088, -78118, -185330, -362118?\n\"Answer: -2899*y**3 + 51*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 p when four letters picked without replacement from {z: 8, w: 2, p: 3, u: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -45323*g. Let l(d) = -d - 8. Determine l(v(k)).\nAnswer: 45323*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 4. Let r be t(-1). Solve r*v - 5*s = -5, -2*s - 8 = 2*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 4. Let v be q(-7). Suppose -12390 = l - 5*p, v*p + 12402 = -l + 2*p. Let g be (l\/3)\/(4\/(-6000)). What is g rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236682 to the power of 1\/2, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v - 123. Let w be y(-18). Sort 5, -36, w in descending order.\nAnswer: 5, w, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 572*d**5 + 477*d**5 + 30 + 3*d + 3*d + 207*d**5 + 3*d wrt d?\nAnswer: 25120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15, -286 in descending order.\nAnswer: 4, -15, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 15531?\nAnswer: -15531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/8 - 6\/(240\/(-10135)). Solve 250*k = l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 5:38 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1349\/(-213))\/(-2 + 874\/438).\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(400\/175)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -34. Suppose n + 4 = m*n. Suppose -3*b - n*l - 22 = -111, 4*l - 112 = -4*b. What is the remainder when 90 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d\/(d*d\/(((d*d**(-1\/2))\/d)\/d)))\/d)**(-36))**(-3\/19)\/(d**(-4)\/d**(-3\/13)*d\/d**(3\/7)*d**(2\/7)) assuming d is positive.\nAnswer: d**(-9707\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = m, -2*g = 5*m + 68. Let f = g + 44. Suppose 5*k = 4*y + 16, 3*k + 5*y = -0 + 17. Put f, -4, k in descending order.\nAnswer: f, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f - 167. Give v(28).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7555410484?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15750 - 4284. Does 126 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4770 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*g + 89, -j + 18 = g - 3. Suppose g*r = 27*r - 1110. List the prime factors of r.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2441*r + 1003*r - 185976 = 0 for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 9?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1273*o**2. Let b(h) = 4021*h**2. Calculate g(b(y)).\nAnswer: -20582425393*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(60)*-3 + sqrt(60)))\/sqrt(12))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + (1 + sqrt(117)\/sqrt(9) - (sqrt(13) + 4 + sqrt(13))*5))*-4.\nAnswer: 74 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 5*q - 3. Let h be p(-4). Which is the nearest to h? (a) 0.3 (b) -2\/11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 5*s**2 + 16*s + 6. Let h = 731 + -738. What is d(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 4. Let p(t) = t**3 + t**2 - t + 6. Let o be p(0). Let s be 18 + 670\/75*-2. Which is the third biggest value? (a) o (b) 0.4 (c) s (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 6*p - 5*z, 4*p = -3*z - 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17984494, 35968986, 53953478?\n\"Answer: 17984492*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*r - 57 = -85*r. Put r, -4, 3 in increasing order.\nAnswer: -4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030278 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 8:19 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -d - 88, 5*c - 100 = 2*c - 5*d. Suppose -3*z - 5*p = -75, -5*z + p + c + 95 = 0. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 14*m + 22. Suppose -4*n + 25 - 43 = 42. Give p(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22016, 37373, 52718, 68045, 83348, 98621, 113858, 129053?\n\"Answer: -g**3 + 15364*g + 6653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/6)\/((-2)\/(-48)). Suppose a = 4*d - 4. Suppose -3*o - 2*o - d = 0. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 2\/7, 0.4, 34358?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2845679.\nAnswer: 113, 25183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -31070.40114 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2b53 (base 15) to base 12\nAnswer: -5473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2986*r - 9 + 9 - 5)*(r**2 - 4*r**2 + 0*r**2) as x*r**3 + n*r + k*r**2 + p and give x.\nAnswer: -8958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:59 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3971506 divided by -14?\nAnswer: -283679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x - 3*x)*(3 - 3 + 2)*(1 + 1 - 7).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5448*q**2. Let o(u) = 2190*u. What is o(b(w))?\nAnswer: -11931120*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*g**2 - 227*g**3 - 221*g**2 + 112*g**2.\nAnswer: -227*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from zezeozveoooovolel.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from {m: 2, d: 2, s: 8, t: 1}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9519 is divided by 122.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**4 + 15234*t**3 - 25*t - 22161650 wrt t.\nAnswer: 4*t**3 + 45702*t**2 - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2256 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1584*b**2 + 147136\/7*b + 260\/7*b**3 - 340736\/7 + 2\/7*b**4 = 0.\nAnswer: -44, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(sqrt(4032)*3 - sqrt(4032) - sqrt(4032)))\/(sqrt(8)\/(sqrt(8)*3)).\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 866 = 3*b, 0 = 5*b - 2*g + 4*g - 1448. Let y = b + -287. Solve -5*f = -y*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/4, -385.2, -1.2, 4 in decreasing order.\nAnswer: 4, -1.2, -13\/4, -385.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c - 2. Let m be o(-4). Let p be 2\/(-7) + (-2)\/m. Let x = -425.491 - -426.491. Is x at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 4576875?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04569 + -32.95431. Is l not equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 14) to base 3\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 2260 = -72. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -812419 < -23560176\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44041959.\nAnswer: 3, 13, 101, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16899096077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aada. What is prob of picking 2 d and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 36 + 4*a**3 - 4*a.\nAnswer: 4*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 6*l + 7. Suppose -35 = -4*b - 5*r, 4*b + 2*r = -0*r + 26. Let a be g(b). Calculate the highest common divisor of a and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 19 = -s + 12*y, -2*s - y + 28 = 0 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 23 - 1. Let r be (-5418)\/(-33) - (-4)\/s. Suppose t - 4*a = r - 13, -3*t = 3*a - 528. What are the prime factors of t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 41*q + 3. Let y(b) = -21*b - 2. Determine -3*n(d) - 5*y(d).\nAnswer: -18*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*o - 39 = 0, -3*o - 31 = -2*s - 3*s. Let z be s - 5 - 3\/1. Let w be -1*(-65 + z) + -2. What is the highest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 13*k + 711*k**2 + 720*k**2 + 4 - 1433*k**2. Suppose -30 = -4*v + 3*o, 0*v = -v + o + 8. Let l be i(v). Solve 6*n = n + l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.31. Let u = 4.91 + m. Sort 8, u, -0.3.\nAnswer: -0.3, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1370945 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a + 179*a - 50*a - 62*a.\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + -46 + (-13 - -9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) + (-8)\/6. Let z = b + 5. Suppose -s - z + 15 = 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*g - 7*g. Suppose 0 = -4*p - d + 63, -5*p + 156 = -4*d + 30. Solve -g*u + p = 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 + -280\/3. Let u = 13.1 + -13. What is the biggest value in -1, p, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isifiiiirjiisifjrrrq. What is prob of sequence fj?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 80, -5, 5.\nAnswer: -5, 1.3, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2777617 - 2482683. Round v to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - ((-6)\/(-3))\/(-1). Let a(k) = 3*k - u*k + 2*k - 2*k + 3 - k**2. Let q be a(0). Put -2, q, 1 in decreasing order.\nAnswer: q, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-21)*1\/1)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17438156 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011101111110000111110000 + 0?\nAnswer: 1011011101111110000111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8 - (-8 - ((-3135)\/(-22))\/(-15))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*b - 22, -3*b + 319*p - 323*p = 7. Solve -18\/5*v**b + 0 - 2*v**4 - 2\/5*v**5 - 14\/5*v**2 - 4\/5*v = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 340 and 64125190?\nAnswer: 128250380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7514.052 days in hours?\nAnswer: 180337.248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 25, 4*z + 2*a + 0*a = 18. Let h be 6*1 - (-1 + z). Find the first derivative of -d**2 - d**2 - 1 + h - 2 wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2114 and 1359.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p - 3. Let a(k) = 11*k - 7. Let s(g) = -6*a(g) + 14*o(g). Let n(r) = 2*r. Give s(n(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288 divided by -22.\nAnswer: 144\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + 11 + 61 + -76 + 16 + -1?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-4) + (-18110)\/(-40)?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k - 6*k)*(-6*k**2 + 2*k**2 + 2*k**2) + k**2 - k**2 + 2*k**3 + 13 - 13 + 13*k**3 + (2239 + 20*k**2 - 2239)*(k + k - k).\nAnswer: 39*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9561.002 decades to years.\nAnswer: 95610.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 4:23 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41906448.3017 - 41904732. Let q = -1716 + v. Let u = 0.289 - q. What is u rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 2 + 1 + -41. Let v = i + 35. Let p(h) = -h**3 - h**2 - 2. Let y be p(v). Solve 2*x = -y*f - 0*f + 8, -5*f + 5*x + 30 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3 + 2160*i**2 + 2156*i = 0.\nAnswer: -539, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81543 and 34375.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 282515 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u\/(((u*u\/(u**(1\/14)*u))\/u)\/u))*u))\/((u\/u**(-13))\/u))\/((u*u**17)\/(u*u*u\/((u*u**(2\/37))\/u))))**(-49) assuming u is positive.\nAnswer: u**(97839\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 192882 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 15789.36685 to the nearest integer.\nAnswer: 15789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7023?\nAnswer: 3, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34880 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2635 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1424?\nAnswer: 142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23916 = 3*o + 6*c, 48*c - 44*c = 4*o - 31936. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 27*j**2 + 3*j + 4. Let d be w(7). Suppose -346 + d = 2*f. Round f to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**3 - 1\/5*m**5 - 1\/6*m**4 + 0*m**2 + 3*m + 0 - 1\/15*m**6. What is k in w(k) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**9\/362880 - b**5\/15 + 5*b**2. Let o(a) be the third derivative of s(a). Factor o(p).\nAnswer: -p**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 7 = 9. Is 347\/((-1)\/r*-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304155704 to the power of 1\/2, to the nearest integer?\nAnswer: 17440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1512\/(-882))\/((-3)\/4*2\/21). Solve q = 38*d - 32*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 280658, 280659, 280660, 280661?\n\"Answer: w + 280657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6793*n = 6799*n - 5*m + 145, 7*n + 5 + 99 + 66 = 5*m for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14133 (base 5) in base 2?\nAnswer: 10010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1555898 - 8?\nAnswer: -15558a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 1825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 2, -4\/3, 3, 0.9 in decreasing order.\nAnswer: 3, 2, 0.9, -4\/3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70345 rounded to the nearest one thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -400*p**2 - 23*p - 128. Let o(w) = -80*w**2 - 5*w - 24. What is 3*i(v) - 16*o(v)?\nAnswer: 80*v**2 + 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2. Let g(l) = -4862151*l. What is g(p(d))?\nAnswer: -9724302*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -2704140?\nAnswer: 2704136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452928?\nAnswer: 2, 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 2\/17, 3\/2, 3, -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 526*x + 531*x = 18, j - 2 = -5*x for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-207)*207\/46*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57 + -167349.\nAnswer: -167292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 590503 smaller than 590504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.22487 rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*l - 8032, 2*l - 5537 = -3*t + 6503. Let r be ((-2)\/(-8) - 1) + t\/72. Is 9 a factor of -4 + (-1 - 3) + r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 559 divide 1889811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -98.683808 and 0.3.\nAnswer: -98.383808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1203 and -1882402.612?\nAnswer: 1883605.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0.1, 0.06, -514\/5, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = u - 3658, -m - 14579 = -5*u + 3689. Does 25 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175 and 51125?\nAnswer: 357875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*k - 7. Suppose -20*b - 3*g + 150 = 0, 3212*b - 3216*b = 2*g - 16. Solve k*x = 8*x + b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22657891, 45315866, 67973843, 90631822?\nAnswer: 113289803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = -n - 2954, 2*s - 1956 = -2*n. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170806391 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/25)\/u**(-1)*(u**(-10\/3)\/u)**(-4) assuming u is positive.\nAnswer: u**(1381\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 0.0141918?\nAnswer: 3.0141918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 253260 and 1083390?\nAnswer: 19501020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i. Let a(j) = 6*j. Let b(k) = 2*a(k) - 15*d(k). Let q(y) = 28*y**2. Give q(b(o)).\nAnswer: 252*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154065.\nAnswer: 3, 5, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.4760676 rounded to 0 dps?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(3 - 1) + 11. What is the greatest common factor of 30 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.13884 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7566*h**2. Let v(b) = 5*b**2 + 24. Determine v(x(n)).\nAnswer: 286221780*n**4 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 30. Suppose n*l + 3*r = 6*l - 15, -6 = 2*r. Suppose -4*y + 416 = -3*c, 3*y - c - 520 = -l*y. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 - 4*f - 9. Let n be p(-2). Let b(k) = 9*k - 2 - n - 7 - 4. What are the prime factors of b(5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1782 + 1782.01. Put t, 0, 4 in decreasing order.\nAnswer: 4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:13 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 5, 15, 25?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 7*h + 2. Let k be s(7). Suppose 3*d - 13 = k*d. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**5*q - 2*d**4*q - 4488*d**3*q + 236*d**2*q + 2*d**2 - 12*q wrt d.\nAnswer: -180*d**2*q - 48*d*q - 26928*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0*i**3 - 26*i**2 + 2\/105*i**7 + 1\/336*i**8 - 1\/40*i**6 + 0*i + 0 - 3\/10*i**5 + 0*i**4. Factor h(x).\nAnswer: x**2*(x - 2)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-2)\/(-1) - 1. Suppose n*r = -5*r - 50. Let v be r\/(-8) - 3\/12. Is 4\/3 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -5, -2\/383?\nAnswer: -2\/383","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8695 divided by -3?\nAnswer: 8695\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 41*g**2 - 79*g - 30. Let h be r(-39). Solve -6 + h = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-21) - (-614)\/6. Let u = f + -20. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -131? (a) 1 (b) -3\/7 (c) 6601\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 7)\/((741\/(-38))\/(-39)). Let j(g) = 2*g + 31. What is j(x)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742521 is divided by 61876?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -44. Suppose 3*r - 5*b = r - o, b - 12 = 3*r. Let s(d) = -2*d**2 - d + 7. Let w be s(-2). Sort 3, r, w in decreasing order.\nAnswer: 3, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.3. Let u = -6103\/2 + 3051. What is the closest to u in -1, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4957191 rounded to 3 decimal places?\nAnswer: 1.496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*h**3 - 174*h**3 + 79*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/15, -8, 0.\nAnswer: -8, -2\/15, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 + -4 + (-3 - -4) + -2) - 23\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 73.12, 0, 1\/4, -2\/5, -3528?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2234214 (base 5) in base 3?\nAnswer: -2000210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**3 - 17*t**3 - 16*t**3 + 34*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25365 minus 0.1?\nAnswer: -0.35365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -431, -843, -1419, -2159, -3063, -4131?\nAnswer: -5363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3105\/72 - (-3)\/(-24) - -3?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, k: 3, i: 5}. What is prob of sequence pki?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 21 = 43. Let x be (-1)\/(l\/(-34) + 1). Let q = x + 34. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times -133.07444?\nAnswer: 3060.71212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1200.96054 + 1201. Round a to three dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5241278 is divided by 1747001.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302, -606, -910, -1214, -1518?\nAnswer: -1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 10*r + 6. What is the smallest common multiple of 21 and d(7)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 57133?\nAnswer: 57140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -781562, -781564, -781566, -781568, -781570?\nAnswer: -781572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*w - 14, -4*w - 5 = -2*c - 1. Find the second derivative of -6*x + c*x + x - 38*x**2 wrt x.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*i + 5*i - 209*i.\nAnswer: -382*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*f - 60 = 0, 0 = 2*t - 3*f - 73 + 45 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.4. Let x be (-2)\/7 + 1 + -1. Which is the nearest to x? (a) -2\/5 (b) 4\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135093910 to the power of 1\/2, to the nearest integer?\nAnswer: 11623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 16, -1, -3\/5 in ascending order.\nAnswer: -1, -3\/5, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*1\/(-2)*-190. Suppose 0 = 3*w + 152 - s. List the prime factors of w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 g, 1 r, and 1 n when four letters picked without replacement from {g: 1, n: 6, h: 1, r: 2, a: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-93)\/27) + (-11368)\/(-504). Solve -y = -4*i + j, -2*i + 15 + 7 = -4*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21 = 5*v, o = -v - 2*o - 3. Suppose v*d - 6924 - 89922 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12947275 divided by 10235\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czuz when four letters picked without replacement from zqwwzcqzwcqxzuzcqq?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*i**2 - 121*i**2 + 66*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppnn when four letters picked without replacement from {p: 4, n: 3, z: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 21a08?\nAnswer: -21a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**7\/3780 + a**6\/540 - a**5\/180 - 23*a**4\/24 + 17*a**2. Let k(t) be the second derivative of i(t). Factor k(j).\nAnswer: -2*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g. Let c = g + -1. Let j be (1\/c)\/(2\/(-6)). Sort -4, j, -3 in descending order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 285*f**3 + 0*f + 0*f + 82 - 269*f**3 - 251*f**3 wrt f?\nAnswer: -705*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**3\/4 - 95*c**2\/4 + 73*c - 49 = 0?\nAnswer: -98, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 - (0 + 2). Let d = -32 - 0. What is the common denominator of -79\/6 and -1 + (k - (-164)\/d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {k: 3, j: 3, m: 6, q: 5, c: 1}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -737. Calculate the highest common factor of 200 and d.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 - 1.5. Let n = -0.04 + 13.04. Let l = n + -13.1. Which is the closest to -1\/3? (a) l (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 8*a + 2. Suppose -40 = -2*h + 2*w, -a*h + 5*w = -4*h + 26. What is the lowest common multiple of h and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 21202113?\nAnswer: 21202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7549 (base 16) to base 8\nAnswer: 72511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -7429*y**8\/336 + 7*y**5\/20 - y**4\/12 + 23*y**3\/6 - 11051*y**2. Find the third derivative of l(m) wrt m.\nAnswer: -445740*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffoofffoffofo. Give prob of picking 1 f and 1 o.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 621312, 0 in decreasing order.\nAnswer: 621312, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = 16*j + 16*j + 5*g, 4*j + 2*g - 1714 = -1764 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -2ec?\nAnswer: -2ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 29 + -24 + (-606)\/(-4). Let d = g - 518\/3. Find the common denominator of d and 7\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 3*l + 4*l. Let g be u(-2). List the prime factors of 2\/4 - 15\/g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264544221 + -5.65959?\nAnswer: 264544215.34041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246106*d**3 + 246073*d**3 - 492434*d**3.\nAnswer: -255*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -104. Let i = o + -32.2. Let h = i + -4. Which is the nearest to 0? (a) -2\/15 (b) -2\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 divided by 1.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33022, 32832, 32662, 32518, 32406, 32332, 32302?\n\"Answer: r**3 + 4*r**2 - 209*r + 33226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45*(2 + (-66)\/18 + 1). Sort o, 1\/6, -0.1 in decreasing order.\nAnswer: 1\/6, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnnmmmlnqql. Give prob of picking 2 n, 1 l, and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101815 is divided by 1921.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 5. Let i(u) = u**2 - u - 2. Let y be i(2). Let h = -9\/7 - -1. Which is the closest to n? (a) h (b) y (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.02 + -3.31\nAnswer: -4.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. Let w = 5 - 2. Let u(b) = b**3 - 55*b**2 + 62*b - 427. Let h be u(54). Solve m*d = -w*d + h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*g + 141*g = 663*g + 572*g + 3668 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 432417723 to the power of 1\/3, to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 + 3 - 3)*(-59*u - 77*u - 63*u)*(-3*u + u + 0*u).\nAnswer: 1194*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.22 and 383?\nAnswer: 84.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -1, -4, -2, -11, -5 in decreasing order.\nAnswer: -1, -2, -4, -5, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/4 - g**3 - 3*g**2\/4 + 5*g\/2 + 2.\nAnswer: (g - 4)*(g - 2)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x - 6. Suppose -x*g = 2*v, 3*g - 4 + 1 = -v. Suppose 0*z = -g*z + 2. Which is the closest to 0.1? (a) 0 (b) -2\/19 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/(-5) - -6)*(-125)\/2. Let a be 2216\/234 - (s\/(-36) - 3). Which is bigger: a or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.5 + 29.5. Let b = d - 58. What is the closest to 2\/5 in b, -3\/7, -0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -408, -3238, -10918, -25872, -50524, -87298, -138618, -206908?\n\"Answer: -404*c**3 - c**2 + c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 31. Let c = 3 - 3. Is 5 a factor of u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1320 and 729960?\nAnswer: 729960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/7 (b) 3 (c) 231\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 85*n**2. Let j(x) = -2*x**2. Determine s(j(f)).\nAnswer: 340*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 5 - -4*(-6)\/(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/9)\/((-15)\/(-135)). Let c be (12\/10)\/r + 196\/(-35). Suppose -4*x = -2*x. Sort -13, x, c in descending order.\nAnswer: x, c, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - a + 2. Let h(j) = j - 2. Let c be 9\/(-6)*(-8)\/12. Let w(n) = c*d(n) + h(n). Let l(v) = -2*v. Calculate w(l(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*u = 391*u - 186*u - 33 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -60742049143 and -8451.\nAnswer: -60742057594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2 (c) -0.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.5551 to 1 dp.\nAnswer: -92.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (400\/(-30))\/(-8)*(-18)\/(-20)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -430786, -861571, -1292356, -1723141?\n\"Answer: -430785*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + -3 + -4 - -1. Solve -3*g - 6 = v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from kprrplpkprplgpkpllp.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*-3*sqrt(2816))\/(sqrt(196)*1*6 + sqrt(196)).\nAnswer: -144*sqrt(11)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 213*n + 3866. Determine c(193).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7595151 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409 = -20*r + 69 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-1)\/sqrt(5) - sqrt(272)*-4.\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/3963 + -229832\/43593. Is -6 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11064000 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9\/((-45)\/40).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 3168\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*y + 20, -g = 6 - 1. Suppose 2*i = y*i + 78. Does 4 divide i\/(-9) - 1\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**5 - 99884*u**4 + 622401292*u**3 + 14350506844*u**2 + 109902417088*u + 279865616128 = 0. What is u?\nAnswer: -8, -7, 12497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.68 and 0.01?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 7 = -5*w, 2*h = -51367*w + 51372*w + 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -163, -244, -325, -406?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 9) to base 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -132850 and 532 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -255.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1, -3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*t = 22, -3*t = -0*t - 6. Let y be (-4)\/24*u*(-2)\/(-5). Which is smaller: -5 or y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c\/(c*c**3))*c)\/c))**7)**(-24)\/((c**(3\/2)\/c)**(1\/31))**(-43) assuming c is positive.\nAnswer: c**(31291\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-1) - 4\/2. Suppose -15 - 5 = -4*s. Suppose 20 = -7*b + 2*b - s*j, 3*j + 18 = 3*b. Is t >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/20868 and -107\/24.\nAnswer: 41736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 129059 - 362?\nAnswer: 128697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 367275 - 178364. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -13, -10, -9, -10?\n\"Answer: -z**2 + 8*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22235470 to the power of 1\/2, to the nearest integer?\nAnswer: 4715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (sqrt(76) - (sqrt(76) + (-2*-1*sqrt(76) - sqrt(76)) - sqrt(76)) - ((1*sqrt(76) - sqrt(76))*6 + sqrt(76))).\nAnswer: -2*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109*v**5 - 202 - 224 + 46018*v**2 - 883*v**5 - 46022*v**2 wrt v?\nAnswer: -59520*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1064 divide 11104760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 17*t**2 - 29*t. Let d(m) = 49*m - 21 - 6*m**2 - 39*m + 21. Determine 4*b(j) + 11*d(j).\nAnswer: 2*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 0*y + y + (3*y + 3*y - 2*y)*(5 - 4 - 3) - 7306 + 7306 + 110*y.\nAnswer: 101*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8651\/15 - 577. Let a = 1255049\/60 - 20918. Let b = a - w. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m + 3*m + 0*m + (5*m + m - 56*m)*(-2 - 4 - 4).\nAnswer: 497*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 107670 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (1888 - 1850) + (0 + 9 - 1).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 11. Suppose -t - z + 7 = -5, z = -4*t + 36. Let x be m(t). Let j be 0 + 1 + 6\/x. Solve j*b = -5*l, -15 = 3*l - 8*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 + g + 2. Let f(a) = a**3 + 8*a**2 - 9*a - 3. Let x be f(-9). Let c be t(x). What is the common denominator of (-11 - -18)\/(8\/c) and 101\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 508 = 536 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.107\nAnswer: 0.0428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16830395*f**2 + 2*f - 5484769 wrt f.\nAnswer: 33660790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 14.24. Let q = w + -1. What is q rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s + 23 + 21*s + 5*s**2 + 42 + 29.\nAnswer: 5*s**2 + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 533630.7t?\nAnswer: 533630700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285448 by 3.\nAnswer: -285448\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/6*(-195)\/(-364)*8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 220, 4, -25 in descending order.\nAnswer: 220, 4, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -18 + (-13 - -26)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*p = p + 35, -4*v - 2*p = 2. Suppose 2*u + v*j - 22 = 7*j, 0 = -5*j - 10. Suppose u*d - 360 = d. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 2*f - 2. Let c(z) = -4*z**3 + 7*z + 11. Let t(q) = -q + 1. Let d(n) = -c(n) + 2*t(n). Give -4*d(h) + 18*x(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u = 41*u - 253. Solve 0 = u*h + 2*h - 39 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 19 - -22) + -4 + 7 + -22 + -1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4, -5*b + 16*l + 22 = 14*l. Determine z so that 6*z + 5*z**3 - b*z**3 - 3*z - z + 3*z**3 + 4*z**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30121*f**3*l**2 + 3*f**3*l - 55*f**3 - 11*l wrt l?\nAnswer: 60242*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -510 - -508. List the prime factors of (2\/(i\/57))\/((-56)\/1344).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) - ((0 + sqrt(3))*3)**2).\nAnswer: -135 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/121140 and -151\/4188.\nAnswer: 42277860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.088 + 0.227. Let s = a - 0.115. Let f = -5.3 + 5. What is the nearest to -10 in -0.1, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 + 53)\/(4\/((-32)\/6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1763 and 73444.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1 - 8 + 11*s - 5*s - 4*s. Let m(n) = n**3 + n**2 + 6. Let a be m(0). Let o be x(a). Solve 3*u - 2*u - o*w = 0, 0 = -u + w + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cycocoycho. Give prob of sequence yc.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w**3. Let d be y(1). Let g be 2\/d - (-282)\/(-54). Let x = g + 26. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39708?\nAnswer: 2, 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9219445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k - 10. Let w(x) = -3*x - 9. Suppose -q + 3*o + 2 = -1, -5*q + 2*o = -15. Suppose 2 = -3*i - 4. Let z(r) = i*v(r) + q*w(r). Calculate z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 60.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(2\/(-12)*2). Let a = c + -11. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219 + -219. Which is greater: l or -17\/14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 629434060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 10:17 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 981449 + 37?\nAnswer: 981485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 283.4+6804370\nAnswer: 6804653.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuttuzt. Give prob of sequence ut.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -14.\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/52*185\/(70300\/(-152))*(-20)\/(-6).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 25 = 325. What is the remainder when 249 is divided by v?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(304) - (sqrt(304) + -2*sqrt(304)*6 - sqrt(304))) + ((1 + sqrt(304))*-4 - (-2 + sqrt(304)*3)))*6)**2.\nAnswer: 5184*sqrt(19) + 394308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17096, -34250, -51442, -68690, -86012, -103426, -120950, -138602?\n\"Answer: -3*w**3 - w**2 - 17130*w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 14999*k - 8. Let t be i(-6). Let z(b) = -b - 9. Let g be z(0). Let h be t\/3 - 6\/g. What is h rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 12:48 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109099647 a multiple of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 9. Solve t*k = -0 - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n + 2*n - 2*n)*(12*n - 8 + 8) + 8*n**2 - 14 + 14 + (0*n + 0*n - n**2)*(1 + 2 - 1) to the form u + m*n + r*n**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46321387.00221 - 46321189. Let x = -198 + u. Round x to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) 1 (b) -2\/5 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y. Let s(z) = z. Let h(u) = -5*u + 35. Let i(g) = -h(g) - s(g). Let v be i(9). Calculate m(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181652937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 232 or 19128\/11?\nAnswer: 19128\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 13*d - 21. Let r(s) = -3*s + 5. Let q(h) = -h**2 - 3*h - 5. Let g be q(-4). Let m(f) = 256*f + 766. Let c be m(-3). What is c*v(p) + g*r(p)?\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1131, 2293, 3481, 4695?\nAnswer: 5935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*z - 142*z + 5504 = 37*z for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 4.1, -0.5, -75, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860859.1 centuries to years.\nAnswer: 86085910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490*f - 478*f - 603560 = 532684. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/x**(-27)*x*x)\/x)\/x**3)\/((x*x*x*x**33*x*x)\/(x\/x**9)))**(-32) assuming x is positive.\nAnswer: x**608","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1522 + -1567 - (1 - 32).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -579*b + 547*b + 2208. What is the least common multiple of 3312 and b?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5136868 + 642*l**3 - 5136868.\nAnswer: 642*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*m**4 + 2868*m**3 - 76479*m**2 + 16854*m.\nAnswer: -3*m*(m - 53)**2*(9*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from axxaaaxxxxxaaaxaxa.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-2486*b + 1048*b - 4158*b + (5 - 3 - 1)*(0 + 0 + 2*b)).\nAnswer: -5594*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 5*c**2 + 19*c - 54. Calculate the remainder when 813 is divided by y(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 27*s**2 - 99*s + 14. Let g(k) = 19*k**2 - 66*k + 10. Determine -7*g(b) + 5*i(b).\nAnswer: 2*b**2 - 33*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 2 - 2 + (-3 + 1 + 4)*((-1 + 4 + 1)*(-2*m + 2*m - 3*m) + (-6 + 2 + 1)*(-m - 2*m + 5*m)) as d + g*m and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3692, -3698, -3704?\n\"Answer: -6*f - 3686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.14, -3\/4, -2 in descending order.\nAnswer: 0.2, -0.14, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 + 0*n + 0*n + (-n**2 - 2*n + 2*n)*(-n**2 + 0*n**2 - n**2) - 1203 - 13*n**4 + n**2 + 1202 - 2*n**2.\nAnswer: -10*n**4 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2096 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50679930 to the nearest integer?\nAnswer: 7119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 37\/(-296) + (-1)\/56\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 15*v + 33. Let p be q(4). Which is smaller: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950*u = 3221 + 3429 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 33799356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*w - 76, -4 = 2*q - 6. Let l = -17 + w. Calculate the least common multiple of l - 0 - 8\/(12\/(-6)) and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-39) - (-24)\/156. Let y = 31.2 - 31.4. Put -0.05, w, -3, y in descending order.\nAnswer: w, -0.05, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, -0.184, 7, 0.4, -2, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6032)\/(-8736) + (-1)\/(-7). What is the closest to -9 in z, 5, 30\/17, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.464 + 2.4. Let u = h + -0.936. Let a = -0.36 + -0.04. What is the closest to u in 1\/11, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-3 + (6 - 5) + 0)) + -13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*k**2 - 112*k**2 - 35*k**2 - 1574 as b + g*k**2 + v*k and give b.\nAnswer: -1574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (18 + (-4 - -2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 5, -2, 3\/4, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 182 = f. Let y be f\/6 - 8\/12. Let b = 49 + y. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1549.323 centimeters?\nAnswer: 0.01549323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4698?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.2 - 55092090.9.\nAnswer: -55092086.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, c: 1, w: 2, g: 4}. What is prob of picking 1 g, 1 c, and 1 t?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.509?\nAnswer: -1.527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30717, -30030, -29343, -28656?\n\"Answer: 687*m - 31404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27743880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2020442423012 + 3?\nAnswer: 2020442423020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108514 divided by -4718.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1326917906 rounded to 4 decimal places?\nAnswer: 0.1327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8375917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3cbb (base 13) in base 8?\nAnswer: -21105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - 238 + d**2 + 223)*(-3 + 3 - 2).\nAnswer: 4*d**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 3 + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 9*v**2 - 10*v - 7. Let w be u(8). Suppose 11 = -k + 51. Let y = k + w. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 100, 2, 0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 179483081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*n, -j + 9*n + 6 = 6*n + 1 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = -2*n - 3*n - 700, -2*a + 3*n = -148 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2825\/3876 - 125\/114. Find the common denominator of (-17)\/(-20) - (1 - -3) and f.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*r**3 - 37*f**2*r**2 + 9*f*r**2 + 2*r**3 + 9*r**2 wrt f.\nAnswer: 2*f*r**3 - 74*f*r**2 + 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - c)*(2216715*c**2 + 320*c**3 - 2216716*c**2 + 869*c**3).\nAnswer: -1189*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 5\/2, 13, 0.1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = 24. Suppose 2*c - 26 = -r, 0*r - c = r - 28. Calculate the remainder when r is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1548021751 - -50.\nAnswer: -1548021701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5041, 8159, 11279, 14401, 17525?\n\"Answer: r**2 + 3115*r + 1925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-15))\/((5\/(-16))\/(42\/56)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9401\/34*(-5)\/(-14). Let o = h + -99. What is the closest to o in 6, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -65.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 4, b: 3, a: 1, e: 8, x: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -65*i - 590. Give a(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.96 times -266?\nAnswer: 521.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 11:44 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57.107 + -57.607. Let k = -4 - -3.6. Let y = k + 0.2. Sort t, 1, y, -0.03 in increasing order.\nAnswer: t, y, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*u + 4. Let a(d) be the first derivative of -1\/6*d**6 + 5\/2*d**2 - 2\/3*d**3 - d**u + 4\/5*d**5 - 2*d + 3. Factor a(m).\nAnswer: -(m - 2)*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 130 = 5*u - 163, 5*o - 195 = 25*u for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, -2, 1, -5 in ascending order.\nAnswer: -5, -2, 1, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**2. Let t(c) = -36*c - 27. Give x(t(j)).\nAnswer: -7776*j**2 - 11664*j - 4374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*m = 0, 5*z - 4*m - 76 = -0*z. Suppose 92 = 2*w + z. Let n = w + 12. Calculate the remainder when n is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-6))\/((-2)\/(-3)). Find the second derivative of o**2 - o**2 + 0*o**2 + 3*o - 2*o**u wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 2*c**3\/3 - c**2 - c + 25. Let z(t) = -3*t - 7. Let y(r) = r + 3. Let g(n) = 5*y(n) + 2*z(n). Calculate g(s) + j(s).\nAnswer: 2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/(-66)*23\/115 and (6\/5)\/((-657)\/(-270)).\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, b: 4, o: 11}. Give prob of sequence bbvb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -786.71 - -782. Let s = 0.0458 + 4.7542. Let m = t + s. Round m to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2399\/5 - -16803\/35. Is -2.059 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 6*w**2 - 6*w + 6. Calculate the least common multiple of 7 and p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37938, -79222, -120506, -161790, -203074?\nAnswer: -244358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68582 (base 14) to base 4.\nAnswer: -331321212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*n + 46 - 19*n**4 + 61*n + 2*n**3 + 15*n**4 - 108*n in the form l*n**3 + y*n + w*n**2 + o*n**4 + b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*j + 85 = 31, 13 = 2*b - j. Suppose 2 = 6*r - 5*r. Let g = -1 - 4. Sort r, -8, g, b in descending order.\nAnswer: r, b, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.6 - 25.4. Let b = -4 + 3.8. Put b, r, -3, -4 in increasing order.\nAnswer: -4, -3, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -312, -1, -460, -4, -5 in decreasing order.\nAnswer: -1, -2, -4, -5, -312, -460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 940\/(-132))\/((-56)\/4788) - 1*-10\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*-1*sqrt(242) + -1*2*sqrt(242) + (sqrt(242) - (-1 + -2*sqrt(242))))**2.\nAnswer: -330*sqrt(2) + 54451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*g - 13. Let s be -1*(2 - (-1 - -6)). Suppose 1 = -5*r + x - 0*x, -s*x = 4*r - 3. Solve 4*i + 20 = -n, 5*n - g = -r*n + i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190390 is divided by 129?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 f when four letters picked without replacement from {f: 8, c: 1, y: 1, l: 6, r: 3}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**5\/30 + 7*w**4\/8 - 29*w**3\/6 + 6*w**2 + 8. What is the remainder when 126 is divided by m(-13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1339509*s**2 - 9*s + 40014555 wrt s?\nAnswer: -2679018*s - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2670397 or 2\/5?\nAnswer: 2670397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 2*v + 17. Let r be j(5). Suppose 4 = 2*n, -r*n - 266 = -2*k - 16. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 78, -3, -4 in ascending order.\nAnswer: -4, -3, 9, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -378 + 378. Suppose 0 = -3*o + 2*l + 3, -5 = o + l - 1. Sort 5, b, o, -14.\nAnswer: -14, o, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/69 - 10080\/(-17388)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 8. Let g be 0*((-5)\/2 + 2). What are the prime factors of l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 158, 356, 632, 986, 1418?\n\"Answer: 39*f**2 + 3*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/5*1)\/(-1). Let t = -2 + -7. Let y = t - -13. Put y, 0.3, a in increasing order.\nAnswer: a, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from uuuukkkukkuu?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 158 = -28*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2916 in -14\/9, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 + 3) - (6 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18327815 and 605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*100\/(-16)*572\/(-1287).\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-2 - -3) - -4. Let s(i) = 7*i - 2*i + 6 - 6*i. Let p be s(6). Solve p - l = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-77)*(-85)\/(-595)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooio when four letters picked without replacement from oopopoooiooopooo?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4878*g - 2978*g + 9757*g + 0*g**3 + g**3.\nAnswer: g**3 + 11657*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/7 + 208714*w\/7 - 10890383449\/7.\nAnswer: -(w - 104357)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5135*w + 40. Let m(n) = -45*n. Calculate m(k(r)).\nAnswer: 231075*r - 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1998336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {i: 1, g: 1, c: 2, j: 2, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 5*o + 4. Let v be j(-4). Suppose 2*c + 5*g = 30, v = 4*c + 4*g - 57 + 9. Let q = 29 - c. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*r - 5, -5*r = f - 6 - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2*n + 4*i + 1, -n - i = 882 - 883 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 216.99 - 217. Which is the third smallest value? (a) i (b) 2 (c) 4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 60 - 38)*(-2 - 1 + 1)*(-4*y + 2*y - 5 + 3).\nAnswer: 140*y + 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 31*d - 9 + 24 - 15 - 90*d. Let s(f) = -f**2 + 3*f. Let c(p) = -p. Let g(u) = -3*c(u) - s(u). Give g(n(w)).\nAnswer: 3481*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1044 (base 10) to base 15\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 8:46 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 9:03 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/4 (c) -2\/101 (d) 0.06 (e) 15.71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 46, 51, 50, 37, 6, -49, -134?\n\"Answer: -b**3 + 3*b**2 + 3*b + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(1 - (-8)\/(-16))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5243.11 - -5244. What is the closest to 0 in -1\/7, -3, -5, u?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220c (base 14) to base 16.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(sqrt(272) + -4)*4 + 4.\nAnswer: -61 + 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/60 - 7*g**4\/24 + 2*g**2. Let j be o(5). Let f be -1*(3 - j\/(-3)). Is 1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 850 = 5*n, 4*n - 874 + 182 = -2*h. Suppose -167*c = -n*c + 1705. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36537681.617 - 0.2.\nAnswer: -36537681.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/3 + 11136872*b\/3 - 11136868\/3.\nAnswer: -4*(b - 2784217)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7))**(-9)*(l*l\/(l**(-2\/5)*l)*l)**(-13))\/((l**(-1\/3))**47*(l*l**(1\/6))\/l**0) assuming l is positive.\nAnswer: l**(-1349\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29464*w + 42004*w + 75288*w.\nAnswer: 87828*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 28388209*j - 805890410227681\/2.\nAnswer: -(j + 28388209)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8248 * -2\nAnswer: 16496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39079528 a multiple of 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 400557327 + 3?\nAnswer: 400557332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*39\/(-104)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.1 + -17. Let p = j - 0.1. Let w = -3335\/9987 - -2\/3329. What is the second smallest value in p, -4, 5, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -40*r + 168. Calculate u(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + -0.27. Let v = 3 - 1. Let k = 10 + -10.2. Which is the nearest to 1? (a) v (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.95563 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39126801733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136317.\nAnswer: 3, 45439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 814, -14, 66, -5, -4 in ascending order.\nAnswer: -14, -5, -4, 66, 814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 13 = 3*p, 0*z - 6 = -2*z + 2*p. Let j(t) = t**3 - t**2 - 3*t + 2. Let m be j(z). Solve -b + 1 = -m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -20\/30441?\nAnswer: -20\/30441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -174*r + 28505. What is k(151)?\nAnswer: 2231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35 + -74496a?\nAnswer: -744935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6624, -13049, -19474, -25899?\nAnswer: -32324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 412783 and 763?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 694 - 164 = 10*h. What is the remainder when 142 is divided by h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.025?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 d when four letters picked without replacement from {d: 2, u: 1, q: 9, n: 1, p: 4}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1300623 and 47\/12.\nAnswer: 5202492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77.934 + -78. Round x to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9300*671\nAnswer: -6240300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 57 = -19*p. Calculate the remainder when 75 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 h, and 1 d when three letters picked without replacement from wwwihddkxwwwd?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l - 4*l + 4*l)*(-1 + 0 + 4) - 6*l + 2*l - 2 + 3*l)*(10261*l**2 + 2 + 6*l - 3*l - 10266*l**2).\nAnswer: -40*l**3 + 34*l**2 + 10*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1041 - 81 = 0. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(2\/(-1)))\/(-2). Let s = 11.8 - 11.9. Sort 2\/5, s, b, -5.\nAnswer: -5, s, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49759 in 32.8, 0.03, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 24 = -4*y - 9*u, -y - 5*u = -16. Let m be (2 - 4 - -4) + -1. Let x be (m - 6\/(-1)) + y. Solve -l + 4*l = -x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 60*o - 162.\nAnswer: -2*(o - 27)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 676859?\nAnswer: 473801.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 13*g - 18*g. Suppose g = -205*h + 210*h - 10. Solve 30 = -8*u + h*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.4 (c) -8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w - 488842 = -488992 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.5 + 30. Let o = 0.05 - -5.95. Which is the second biggest value? (a) p (b) 2\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13232, -18628, -24024, -29420, -34816?\nAnswer: -40212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77 + (-55 - 15) + 49.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirty-one fifths of a millisecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -337*x - 2788. What is the hundreds digit of i(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000111389 to seven decimal places.\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1530, 1268, 4066, 6864, 9662, 12460?\n\"Answer: 2798*z - 4328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 - 1993231*s + 3972969819361\/2.\nAnswer: (s - 1993231)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 43065*b**2 + 86115*b - 43055.\nAnswer: 5*(b - 8611)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -16 + 198\/18 - -1002 is divided by 69.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + y = -0*i - 146, -3*y = -5*i + 367. Suppose 4*l = 5*l - 4*z - i, 4*l - 284 = 4*z. Suppose 73 = 4*t - l. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(7200) + (3*sqrt(7200) - sqrt(7200)) + 2)*1)**2.\nAnswer: -1080*sqrt(2) + 64809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - 0 - (-327291 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 942156439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(44)\/sqrt(4))**2 + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one eighteenth of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 95, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12100 - -20?\nAnswer: -12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u = 53*u - 5. Put 4, 2, u, -53 in descending order.\nAnswer: 4, 2, u, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = q + 18897, -2*z - 6*q = -2*q - 12612. Suppose -3*d - 7*d + z = 0. Suppose d = 32*b - 27*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -0.1\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 2. Let k be n(4). Let j be -3 - (2 + 16\/(-2)). Let p(f) = f**2 + j - 16*f - 2 + 15*f. Calculate p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430185322 is divided by 627?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, i: 2, y: 4, j: 1, t: 4}. Give prob of sequence jc.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = -2*b, -4*b - 4*v + 23 = 3. Find h such that -h**5 - 4*h**4 - b*h**2 + 19*h**2 - 10*h**2 - 5*h**3 - 8*h**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525820.7us in seconds?\nAnswer: 0.5258207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3360511 times -4?\nAnswer: -13442044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 4*z**2 - 1. Suppose g - 2*l - 1 - 9 = 0, -g + l = -6. Let o(i) = -6*i - 3*i - g*i + 12*i. What is x(o(j))?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 370 - 425?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91577, 182985, 274219, 365279, 456165, 546877, 637415?\nAnswer: 727779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169725949*k*o**2 - 3610*k*o + 2*k - 4*o + 2 wrt o?\nAnswer: -339451898*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -2*w. Suppose -w*d = -3*n - 18, -3*d + 3*n + 2*n = -14. Let b(j) = 6*j + 7 - 13*j + d*j + 3*j. Let i(l) = -l - 2. Determine 2*b(s) + 7*i(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*w - 5*w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 232241352 - -41?\nAnswer: 232241433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 476.1783 rounded to the nearest ten?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 + 2132985*r. Let x(o) = 11*o - 3. Determine x(f(h)).\nAnswer: 44*h**2 + 23462835*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 1}. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11567150 - 4\nAnswer: 11567146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100 and -6587.\nAnswer: -658700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.4 (c) -35 (d) -2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 450179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -27 - 3*w + 2*w**2 + 26 - w**3 + w**2. Factor o(a).\nAnswer: -3*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2007\nAnswer: -2009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/109, 5.89, -3\/8, 5 in decreasing order.\nAnswer: 5.89, 5, 6\/109, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 2411102410?\nAnswer: 2411102411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -47, 137, -3, 1, 5 in ascending order.\nAnswer: -47, -3, -2, 1, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1628052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/17, 3.876, 5\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by -2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/51*1008\/(-560)*26\/39.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70\/31307 or 1?\nAnswer: -70\/31307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6)*(-36)\/2. Let y(j) be the first derivative of 0*j - 6\/35*j**5 - 1\/21*j**z - 3\/14*j**4 + 0*j**2 - 2\/21*j**3 + 2. Determine p, given that y(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000057290719 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6887.1 + 6887. What is the closest to b in 0.73, -0.5, 17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**5\/60 + u**4\/8 - u**3\/6 + 4*u**2. What is the remainder when 50 is divided by h(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108046464.1 to the nearest one million.\nAnswer: 108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a = -88. Let n = 49 - a. Put 1, 2, 0, n in decreasing order.\nAnswer: n, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (57 - 62 - 11).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -3*o - 2*m, 3*o = m + 21 + 31. Find the second derivative of 58*n + 0*n**5 - o*n**2 + n**5 + 78*n wrt n.\nAnswer: 20*n**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000071858 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -37. Let t = l - 9. Let u = 29 + -17. Solve -c - t*c - 3*d = 5, u = c - 2*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005528 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(2\/3)))\/x**(9\/2))**(-24) assuming x is positive.\nAnswer: x**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q**4 + 5*q**4 + 9*q**4 - 28 wrt q.\nAnswer: 76*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1481, 1497, 1509, 1517, 1521, 1521?\n\"Answer: -2*n**2 + 22*n + 1461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -2*s + r - 100, -3*r - 25 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1318432 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/13 + 3456*y**3\/13 + 907156*y**2 - 11479121280*y\/13 - 22064790930050\/13 = 0.\nAnswer: -1441, 2305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -16 (b) 0 (c) 1 (d) -2 (e) 0.44 (f) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2165*c + 1792*c + 4835*c - 106*c + 3079*c.\nAnswer: 11765*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-25))\/((-1)\/(-5)). Suppose -6*n + h*n = 0. Suppose -4*s + n*b = -5*b - 96, 3*b = -4*s + 96. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5760, -10367, -14974, -19581?\n\"Answer: -4607*z - 1153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21753179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 6673*j**4 - 25*j + 314*j + 6238*j**4 wrt j?\nAnswer: -5220*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -2892052.\nAnswer: -2892054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*h + 143*h - 437*h + 138*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 422011310 (base 5) in base 15?\nAnswer: 248b70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.399904 + -3\nAnswer: -2.600096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most -149182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 134, 130, 126?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 11 = 2*o, 3*o = 8*o - 2*y + 23. Let d(l) be the first derivative of l**2 - 6*l + 9. Let v(i) = i - 5. Give o*d(z) + 6*v(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 40004 (base 5) to base 6\nAnswer: 15332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*b - 6, -3*y + 2*b - 2 = 2. Is -11\/36 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(20\/3))**(5\/3)\/((y\/(y**(-3\/25)\/y))\/(y\/(y**5*y))) assuming y is positive.\nAnswer: y**(898\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6356*2 - (-7 - -13 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**11\/(x*x*x**(-13)\/x))\/(x**11*x*(x\/x**(-2\/7)*x)\/x))**(10\/9) assuming x is positive.\nAnswer: x**(680\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140536107 a multiple of 2758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 - 188. Let h = 58 + p. Let y = 0.3 + 0.1. What is the second smallest value in -3, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81307, 81313, 81319, 81325?\nAnswer: 81331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (2 - 5) + 0. Suppose -3*t + 10 + 2 = -4*v, 5*t - h*v - 20 = 0. Factor -n + 7\/2*n**t + n**3 + 0 - 7\/2*n**2.\nAnswer: n*(n - 1)*(n + 1)*(7*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 834545 * -18\nAnswer: -15021810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 734\/1931563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8417 + -0.0317. What is m rounded to one decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*g - 948 + 120 = 0. Let n be (4 + -1)*(-16)\/g. Solve -2*i - 3*p + 2 = -n, -2*i + 2*p = 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 9*i**2 - i - 12. Is z(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -31. Suppose 2*z - 2*m = 22, z - b = -2*m - 4. Solve -3*f + z = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t\/((t*t*t**(-4)*t)\/t*t))*(t**(-23)\/t)\/t*(t**(12\/7))**33 assuming t is positive.\nAnswer: t**(221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -262\/5. What is the closest to -1 in 1\/3, o, 9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22989, 23014, 23055, 23112, 23185, 23274?\n\"Answer: 8*g**2 + g + 22980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*v + 116, 3*v = -2*v + 15. What is the least common multiple of 6 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -46, 1, -9498, 5, 6, -5.\nAnswer: -9498, -46, -5, -3, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d**3 + 12*d**2 + 12*d - 2. Let i(g) = 5*g**3 - 12*g**2 - 11*g + 2. Let x(m) = 5*i(m) + 4*r(m). Let c = 8 - -5. Does 14 divide x(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 - 8 = 0. Suppose 5*i = -10 + 15. Let o be (-1)\/(17\/15) - -1. Which is the closest to i? (a) o (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16905 (base 11) in base 9?\nAnswer: -35476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*n + 155*n = 90 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-4\/7))\/(l**(-18)\/l)*l**(3\/19)\/(l*l*l**20*l*l) assuming l is positive.\nAnswer: l**(-587\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = -2*b + 6, 2*c = 4. Let r(i) = 18 + 2*i**2 + 8*i**b - 12*i + i**3 - 2*i**3 - i**2. Let t be r(8). Is t bigger than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -42, -77, -112, -147?\n\"Answer: -35*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -6 + -17 + 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -14003210?\nAnswer: 14003222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 312708512*n**3 - 75308385*n**2 wrt n.\nAnswer: 1876251072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213101 divided by -30443.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-4*-2*sqrt(152) - sqrt(152)) + sqrt(152))\/((sqrt(24) - sqrt(864))\/sqrt(3) - sqrt(8)).\nAnswer: -4*sqrt(19)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Let m = 0.4 - -1.5. Let i = -0.1 - m. Which is the third biggest value? (a) i (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 11346*v - 1562085.\nAnswer: 3*(v - 133)*(v + 3915)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.147 - 0.853. What is the nearest to t in -3, -4, 65?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2186304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y + 0)*(-8*y - 12*y + 9*y).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:33 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 8*u - 3. What is the units digit of d(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4431, -4, 1 in descending order.\nAnswer: 4431, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x. Let y(p) be the third derivative of p**4\/24 + p**3 - p**2. Suppose 0 + 6 = -6*z. Let f(j) = 1. Let w(s) = z*y(s) + 6*f(s). Calculate k(w(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1658 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1\/9 (c) -0.5 (d) -0.6 (e) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 - 96*c - 567. Let p be f(37). What is the nearest to 0.2 in 31, p, 0.1, 3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -20*-15*25\/3750. Sort -19, -17, f, 7.\nAnswer: -19, -17, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 6*o + 1. Let f(w) = -6*w + 8. Let p be f(2). Let t be -2*(-3)\/(-6)*(p - 2). Determine m(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251 + -115. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 173506.9683 to the nearest 100.\nAnswer: 173500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {r: 1, h: 1, j: 2, p: 12, b: 2, m: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/7062 and 163\/396.\nAnswer: 42372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*p - 824 - 1482 + 6448 + 3558 = 0 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7499.875 - 193.66.\nAnswer: -7693.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.9 + -4.9. Let z = r - -13. Put -0.2, 3, z in increasing order.\nAnswer: -0.2, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6046 less than -0.06969187341?\nAnswer: 6045.93030812659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212108300, -212108301, -212108302, -212108303, -212108304?\nAnswer: -212108305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - ((-6)\/(-2) + -11). Suppose -2*o = -l*j - 127, -o - 2*j + 34 = -12. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 19, 47, 93, 163, 263, 399, 577?\n\"Answer: o**3 + 9*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + a + 1 = -41, 2*m + 4*a = 28. Suppose -2*o + 476 = -5*d, 4*o - 189*d + 187*d = 952. Calculate the greatest common factor of o and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 276*l - 536*l + 8843*l**2 + 260*l in the form s*l + u*l**2 + f and give u.\nAnswer: 8843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/47 - -51\/188. Let g = -0.08 + -0.05. Let n = g - -0.03. What is the nearest to n in 2, -1\/6, u?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 11:30 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 5 = 9*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 82 - 2*n**2 + 61 - 118)*(3*n - 3*n - 2*n).\nAnswer: 4*n**3 + 6*n**2 - 50*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9844.\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*t = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 6*x**2 + 9. Let w(s) = 6*s**3 + 18*s**2 - 27. Calculate -7*m(t) - 2*w(t).\nAnswer: 2*t**3 + 6*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5) + 4)*2.\nAnswer: 2*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + (sqrt(17) - sqrt(68)) + -1)*2 - (0 + 3 + sqrt(1088) + 2 + sqrt(1088)))*-3)**2*5.\nAnswer: 24300*sqrt(17) + 257985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*j**4 + 18*j**3 - 27*j**4 + 27*j**2 - 24*j**2 + 0*j - 1 + j - 19*j**3 as t + m*j**4 + i*j**2 + f*j + k*j**3 and give m.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8936*y**4 - 122*y**3 - 5*y - 159801652.\nAnswer: 35744*y**3 - 366*y**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9))**(8\/3)\/(n*n**2*n)**3 assuming n is positive.\nAnswer: n**(-308\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 6:21 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0 + 69. What is the remainder when 68 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22464963 and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1591947848.\nAnswer: 2, 198993481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*z - 679 = 0, z = -l + 5*z + 217. Suppose 5*f = 3*r + 660, -31 = -2*f + 3*r + l. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -156*g - 7. What is the remainder when y(-3) is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -336*y**3 - y**2 + y - 33030 wrt y?\nAnswer: -1008*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-2 - -3 - 0). Let v be g\/2 - (-23)\/(-2). Let z(l) = -8*l + 1. Is z(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -556, -1584, -2612, -3640, -4668, -5696?\nAnswer: -6724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-34))\/(-228*99\/(-31977))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -416*m + 423*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let h = -46 + 41. Let q(t) = -2*t**2 - t - 1. Let p(x) = h*i(x) - q(x). Give p(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 646*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23b86 (base 12) in base 4?\nAnswer: -23303112","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/((-20)\/5))\/(-1). Is ((-1118)\/4)\/((-2)\/p) 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 8:19 AM and 3:27 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/5 - ((-51)\/(32130\/(-23968)) + (-176)\/72).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 2180*j**2 - 19352*j + 30016.\nAnswer: -4*(j - 536)*(j - 7)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2.5. Let g = 1 + s. Let c = g + 0.50008. What is c rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 789*q**3\/5 + 1614*q**2\/5 - 27543*q\/5 - 252 = 0. Calculate q.\nAnswer: -7, -12\/263, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19920 and -1.9734673.\nAnswer: -19921.9734673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/4 - 180*g.\nAnswer: 3*g*(g - 240)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22895349 is divided by 989?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00412519477 rounded to 6 decimal places?\nAnswer: -0.004125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4910, 10049, 15196, 20351, 25514, 30685, 35864?\nAnswer: 41051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 125*j + 11. Let g(a) = 415*a + 33. Let z(b) = 3*g(b) - 10*o(b). Calculate z(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*q + 251 = 0, -220 - 201 = -5*o - 4*q. Suppose 3*l + d = 2*l + 17, -3*d = -5*l + o. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10193*b + 2*x = -10189*b - 12 + 20, 0 = 4*b + 4*x - 28 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1333 or 0.056?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8*(1122\/4675)\/(3\/(-5))\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3719970 to the power of 1\/2, to the nearest integer?\nAnswer: 1929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13971932 to the power of 1\/2, to the nearest integer?\nAnswer: 3738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36702, 36388, 35520, 33822, 31018, 26832?\nAnswer: 20988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 111 = -f, -d - 4 = -3. What is the tens digit of (2 - 3) + 8 - f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -77. Calculate the greatest common divisor of d and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25804, -51002, -76200, -101398, -126596?\nAnswer: -151794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -13*w**7\/210 + 3*w**3\/2 - 14*w**2. Find the first derivative of l(g) wrt g.\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 21*u**2 + 18. Let x(t) = 6*t**2 + 5. Let r(b) = 5*p(b) - 18*x(b). Let q(o) = 5*o - 6. Let l(f) = f - 1. Let z(m) = 6*l(m) - q(m). Calculate r(z(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65394 = 25*t + 8*t + 21*t. Calculate the highest common factor of t and 2249.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80801 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 19*o**2 - 45*o - 5. Let y(v) = -38*v**2 + 89*v + 10. Let l(x) = 9*p(x) + 4*y(x). Is l(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 57*s. Give h(-2).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-3)*1\/(-3). Which is the biggest value? (a) -3 (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203023330 (base 4) in base 13?\nAnswer: 507a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*s**2 + 85*s**2 - 205*s**2.\nAnswer: -258*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141211.4634 microseconds to weeks.\nAnswer: 0.0000002334845625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -126684*0.03\nAnswer: -3800.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -24.99. Let x = t - 0.29. Which is bigger: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/32 - (-117)\/(-24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u + 15. Let p(m) = -2*m + 45. Let y be p(21). Does 13 divide b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bce4 + -251c?\nAnswer: -e200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 844 (b) 0.03 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11)*t*t**(5\/7))\/(t\/(t*t*t**(-2))*t*t**(3\/4)\/t) assuming t is positive.\nAnswer: t**(-309\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 388 - 358. Suppose f - 63 = -11*i. Solve -4*h + 3*t = -27, 7*h - 30 = 2*h + i*t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*b + 25, -u - 2*b + 5*b - 8 = 0. What is the remainder when ((-12)\/(-7))\/(1\/7) is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)\/l**(-8)*(l**(-2))**(-38)*(l**(-1\/2))**(-22)*l**(-2\/3)\/(l\/((l*l**(-2\/25)*l)\/l*l)) assuming l is positive.\nAnswer: l**(6919\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203900 = -139*c + 1473380 - 88510. List the prime factors of c.\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7606036 is divided by 7399?\nAnswer: 7263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04442242733 to six decimal places.\nAnswer: -0.044422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -1\/21*u**4 - 1\/70*u**5 + 0 + 0*u**2 + 4*u - 1\/21*u**3. Solve x(j) = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3138 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*k - 98*k - 285*k - 34*k.\nAnswer: -468*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1900.615 to the nearest integer.\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v**2 + 2*v - 3. Let d(j) = 9*j**2 - j + 2. Calculate -3*d(i) - 2*z(i).\nAnswer: -9*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -141*c + 8719. What is d(62)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150076*-1.\nAnswer: 150076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*d + 4489 + 7377 = -4942 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 13 + -19 + (-2 - -1) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -48524086 times 4\nAnswer: -194096344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/5 (b) -3512 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.17 + -7.1. Let k = q - 0.57. Which is the nearest to -2\/9? (a) -5\/3 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**3 + 5*d**2 + 3. Let j(w) = w + 5. Let v be j(0). Let x(m) = -1 - 6*m**2 + 0*m**3 + 2*m**2 - m**3 + 3*m**2. Determine v*x(h) + c(h).\nAnswer: 2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 2:18 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.71 or -2\/165?\nAnswer: -6.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -6. Let n(f) = f**2 - 6*f - 6. Let x be n(o). Let t be x*-3 - 72\/(-32). Which is bigger: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/14707 at most 1282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1619 + -575. Let t = 1044.00467 - p. What is t rounded to four dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30915.\nAnswer: 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1610 and 490?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -324948*f**3 + 3*f**2 - 10608*f wrt f.\nAnswer: -1949688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6014938?\nAnswer: 2, 3007469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*w - w - 3*w)*(-2 + 0 + 1) + (-4 - 2 + 5)*(-1 + 2*w + 1) - 5*w - 8 + 8 as y*w + a and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3\/7 + 22*i**2\/7 + 75*i\/7 = 0.\nAnswer: -3, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.001 equal to -0.0046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**4\/2 - 2478*z**3 + 19797*z**2\/2 + 27233*z + 14856 = 0.\nAnswer: -1, 6, 4952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - y + 4*y + 21, -2*y = 2*c - 2. Suppose 20 = -5*a, 3*p - c*a - 160 = -p. What is the remainder when p is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039602 rounded to six decimal places?\nAnswer: -0.000396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 323085.\nAnswer: 323085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 17, 1\/4, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/412 and -55\/212?\nAnswer: 21836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, p: 4, v: 8, m: 2}. Give prob of picking 3 v.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one quarters of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3666 + 2030 + 2627)*(-2*y + 9*y + 3*y).\nAnswer: 9910*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.998 - -97.062. Let g = 15.1 + -101.1. Let t = y + g. What is t rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/5 - 25036*a**3\/5 - 3297413*a**2\/5 + 13490052*a\/5 - 2718036 = 0. Calculate a.\nAnswer: -135, 2, 25167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/((-4305)\/(-126)))\/(1*8\/(-180))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 > -0.02438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -109*y - 3. What is the hundreds digit of n(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178337 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -206475410?\nAnswer: 206475405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -76, -2, 2 in ascending order.\nAnswer: -76, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 39. Put g, 262, -4 in decreasing order.\nAnswer: 262, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-36)*-6)\/(5*1\/115)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(9*x - 117*x - 12*x).\nAnswer: 240*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1751 is divided by 526.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 - 2*p + 1. Suppose -2*r + 0*x + 3*x + 7 = 0, 0 = r - 4*x - 6. Let f(s) = -1 + 21*s + r*s**2 - 33*s + 13*s. Determine 5*f(b) + 3*v(b).\nAnswer: b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*n + 5 = -4, 0 = -p - 4*n + 3. Find the third derivative of -102*s**p - 48*s**2 + 1 - 1 wrt s.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75475481\/18 - -4185557. Let i = 7528 + t. Find the common denominator of i and -29\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3377 (base 13) in base 4?\nAnswer: 1300130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*n + 15903 = 234*n + 302*n - 7821 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 122*q - 230. Calculate h(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a (base 12) in base 15?\nAnswer: d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11922 is divided by 441.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83967.\nAnswer: 3, 13, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**2 - 284*n - 21904. Let w(p) = -8*p**2 - 282*p - 21904. Let k(b) = 7*l(b) - 6*w(b). Factor k(g).\nAnswer: -(g + 148)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*c**3 - 112*c**3 + 28*c**3 - 18*c**2 - 28*c**2 + 28*c**3.\nAnswer: -18*c**3 - 46*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 1\/6 (c) -184.28835\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 232296 - 232120 = 2*b, 2*b + 88 = 2*q for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*((-75)\/(-35) - 2). Let r = 652\/7 + -93. What is the biggest value in -0.2, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41294559 is divided by 142395.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 11*a**2 + 25*a + 8. Let u be s(13). Suppose -3*i - 14 = 100. Let h be (1\/i)\/(2\/8). Sort u, -2\/17, h in increasing order.\nAnswer: u, -2\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*c - 19 = 0, -9*q = -8*q + 9*c - 23 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*s**2 + a**3*s + 2*a**3 + 1887*a**2*s**4 - a**2*s - 142*a*s wrt s?\nAnswer: 2*a**3 + 22644*a**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1072, 4298, 9676, 17206, 26888, 38722, 52708?\n\"Answer: 1076*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:14 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvxv when four letters picked without replacement from xvvxvvvxk?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -22. Let q(r) = 2*r + 16. Let p be q(t). Does 24 divide (-56)\/p*36\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977124 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -259 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 551864760 to the power of 1\/2, to the nearest integer?\nAnswer: 23492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 882*20\nAnswer: 17640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -344262875*a**2*k**3 + 43372*a**2*k**2 + 28*a**2*k - a*k**2 + a*k + 9 wrt k.\nAnswer: -2065577250*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 28, 0.8, 6, -2\/5, -3\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-24)*(-12)\/(-5)*(-188)\/(-141).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/(u**0\/u*u)))\/(u*u**(-3\/4)))\/(u**(-2\/7)*u)**(-1) assuming u is positive.\nAnswer: u**(-15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 7. Let u = y - 23. Let f = 4154 + -45696\/11. What is the smallest value in -1\/16, f, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -391, -413, -435, -457, -479, -501?\n\"Answer: -22*o - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 28*n + 163. Let k be l(-20). Let b(g) = -4*g**3 + g**2 - 3*g + 5. Calculate b(k).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1831 and 6.\nAnswer: 10986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 16*v**5 - 8*v**3 - 2*v**2 - 10*v - 10. Let b(u) = -5*u**5 + 3*u**3 + u**2 + 3*u + 3. Let a(m) = -10*b(m) - 3*t(m). What is w in a(w) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:06 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0282041 + -278.83.\nAnswer: -278.8017959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3 + -4*sqrt(468)*2*-3)*1 + -3)**2.\nAnswer: -1728*sqrt(13) + 269603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/3)*t**(-2\/15))\/(t**(2\/7)*t*t**(-8)*t)*((t*t**(1\/3))\/t)\/t*t*t*t\/(t\/t**(-2))*(t\/(t\/(t*t*t**(1\/2)*t*t))*t)**(17\/6) assuming t is positive.\nAnswer: t**(3103\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(40)\/sqrt(4)))\/(sqrt(200) - (sqrt(200) - (sqrt(200) + sqrt(200) + sqrt(200)*-3))).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -265318385.391 - -24.\nAnswer: -265318361.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -634, -2504, -5620, -9982, -15590?\nAnswer: -22444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/1276 and -47\/116.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1563 - -1567. What is the smallest common multiple of 32 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/1967 or -1?\nAnswer: -4\/1967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3374 is divided by 211?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjpw. What is prob of sequence wc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 28. Suppose p = 5*q + b - 14, 4*q + 2*b - 4 = 2*q. Suppose 4 = q*v - 2. Solve 0 = 2*u - 3*l + 9, -v*u = -2*l + 6 - 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/37, -99, 2\/37 in decreasing order.\nAnswer: 2\/37, -9\/37, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 6*l = -5, 12*m - 3*l = 13*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, -32, -104, -246, -482, -836, -1332, -1994?\n\"Answer: -4*y**3 + y**2 - y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -1\/50, 5\/2, -1, 1 in descending order.\nAnswer: 60, 5\/2, 1, -1\/50, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612608\/320 - ((-12)\/10)\/(-3).\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 divided by -6\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + -1*sqrt(162)*-4 + -2)**2 + (2 + -2*sqrt(162))*-2 + -1.\nAnswer: -324*sqrt(2) + 2612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d**4 + 192*d**3 - 212*d**2 - 1392*d - 720 = 0. What is d?\nAnswer: -10, -2, -3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 823622 to the power of 1\/2, to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 35, 33, 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - v + 0 - 2 = 0, -4 = -2*z + 2*v. Let n(k) be the third derivative of 0 + 2\/3*k**3 + 0*k + z*k**4 - 9*k**2 + 1\/60*k**5. Differentiate n(h) wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2))**(-3)\/(g*((g*g**8\/g*g)\/g)\/g*g**(2\/7)))**(15\/7))**(1\/92) assuming g is positive.\nAnswer: g**(-60\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*l = -609, -2*p + 2*l + l + 406 = 0. Does 29 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*c - 7095689 + 29378205 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 57 = -4*f, c + 36 = -5*f - 30. Let u = -257\/1633 + 5\/71. Sort -1\/4, f, -0.3, u in ascending order.\nAnswer: f, -0.3, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 26115994?\nAnswer: -11\/26115994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/5)\/((-2)\/(-15)). What is the smallest value in 0.5, j, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/16)\/(13\/(-52))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 768 + 6090. What is the highest common divisor of 508 and x?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -254*c**3 + 3810505*c**2 - 14291265248*c - 168795003 = 0?\nAnswer: -3\/254, 7501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43210, 86421, 129632, 172843, 216054, 259265?\n\"Answer: 43211*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 445*b - 5. Let g be z(2). Suppose 864 = -2*h + 6*h + 4*d, 0 = -4*h + 3*d + g. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2554231695 divided by 5.\nAnswer: 510846339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 177 = 37*q - 183 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/5 - 6*z**2 - 108*z\/5 - 16 = 0.\nAnswer: -10, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(91)*-1 - sqrt(91))*6 - -3*(sqrt(91)*-1 + sqrt(91))))\/((-2*sqrt(56))\/sqrt(8) + sqrt(14)\/sqrt(32))*-3.\nAnswer: 720*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9632 + -a?\nAnswer: 9625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944499?\nAnswer: 1944499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.066 + 1.996. Let c = t + -1.89. Sort -0.4, 2\/9, c, -3 in increasing order.\nAnswer: -3, -0.4, c, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -7\/2.\nAnswer: -7\/2, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvziiiziivcizrzizi. What is prob of sequence rr?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 - 15*q - 9. Let f be d(3). Is f less than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k = -2*m - 155, 4*m - 632 = -4*k. Let w be 3*(-3 + 29 + 3). Let a = k - w. Is 35 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/8)*f*f*f**0\/f*f*f**(-2\/7)*f*((f*f**0*f*f)\/f)\/f)\/(f**(2\/13)*f\/((f\/(f*f\/f**(-1\/9)))\/f)*(f\/(f**4\/f))\/f**(-1)) assuming f is positive.\nAnswer: f**(8677\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000238131 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 + -83.8. What is p rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + f**2 + f + 2. Let p be d(0). Calculate the remainder when (-1)\/p*-2*31 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22*(44 + -37 + -8)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 5*l + 24 = 0. Suppose -l*g - 162 = -17*g. Calculate the smallest common multiple of 14 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 3*j**3 - 3*j**2)*(-10 - 36 + 1).\nAnswer: -135*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-5900)\/2655)\/((-605)\/594)\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/8071 + -541027\/726390. Let l = -207\/20 + -47\/30. Find the common denominator of d and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 50831 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/180 - h**3\/3 + 3*h**2. Let m(t) be the first derivative of a(t). Let m(p) = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 78\/(-30))\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 248*k**2 + 12538*k + 7286. Determine t(-291).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 226 + -6?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/(165\/80) - 5. What is the third biggest value in -1, s, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 13\/6, -0.1, 1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544 = 195*m + 5084 - 55 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1597 times 0.5\nAnswer: -798.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + -177. Is (h\/6)\/((-2)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -399161167\/6034 + 66152. Let u = -289619\/78442 - c. Which is greater: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1281*-172.3.\nAnswer: 220716.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*k = 9, 4*l + 5*k - 3*k + 6 = 0. Suppose c = -l + 17. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 98, 239, 380, 521, 662, 803?\n\"Answer: 141*r - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -207 - 1157*r - 2*r**2 - 911 - 1206 - 437*r**3 + 1150*r with respect to r.\nAnswer: -1311*r**2 - 4*r - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252142504 (base 6) to base 5.\nAnswer: 2221201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q + 7*q - 2*q)*(-q - 4*q + 3*q)*(-4 + 1 + 2).\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*a + w, 2*w - 6 = -5*a + 4*w. Suppose 0 = -a*h - h + 11000. What is h rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50.982 - 0.018. Let j = v - -51.01. Which is the second smallest value? (a) -1 (b) j (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -57. What is the second biggest value in 18\/13, s, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3 - 88110*h**2 - 352380*h - 352360 = 0.\nAnswer: -17618, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 112?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 62*m + 364. Give h(67).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3.6. Let n = m - -0.6. Let s be (-3)\/21*1*2. Which is smaller: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 263*i + 185. Is b(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.95999178 + -2.96. Round q to 7 dps.\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-10)\/m)\/(m**(-1)*m))**(19\/4))**(1\/10) assuming m is positive.\nAnswer: m**(-209\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -90470 plus 1305?\nAnswer: -89165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2. Let r(n) be the first derivative of -5*n**3\/6 - 35*n + 31. Let z(u) be the first derivative of r(u). Calculate z(x(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27829 - 39113. Let z = -507844\/45 - a. Find the common denominator of -107\/10 and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - -9ba?\nAnswer: 9cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -222377\/18 - -12350. Find the common denominator of p and 41\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 + 11\/(-3). Let f be 2\/o + (-11)\/(-3). Let q = -2.2647 - -3.2647. What is the closest to -3 in f, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**8\/1120 + x**7\/2520 - x**6\/720 + 5*x**4\/12 - 6*x. Let d(p) be the third derivative of t(p). Give d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**4\/12 - 7*k**3\/6 - 6*k**2. Calculate s(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1049 + 399 = -10*w. Let d = 61 - w. Let t be (-16)\/8*2\/d*-7. Let n(o) = o**2 + 10*o + 2. What is n(t)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 + 1.73397.\nAnswer: 1.80397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r**2 - 2*r - 1. Let j be 8\/(-6) + (-2)\/(-6). Determine f(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -1336320?\nAnswer: 1336317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 3*r**2 + 2*r - 4. Let y be n(-4). Suppose -y*l = l + 5. Let c(t) = -3*t**2 - 2287*t - 1 + 1153*t + 1132*t. Give c(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522 divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6)*-10 - 429. Let r = 645 + l. List the prime factors of r.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**5\/4 + 4*k**4 + 3*k**3 - 4*k**2 = 0?\nAnswer: -4, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 24 = 2*c. What are the prime factors of ((-6)\/c)\/((-1)\/(-76))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -28 - (8 + (-2 - 1))) + 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 3*x. Let v(q) = 15*q**2 + 11*q. Let u(n) = -22*t(n) + 6*v(n). Let i(c) be the third derivative of c**4\/8 - 4*c**2. Determine u(i(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.15 + 5.15. Let w be 5\/(10\/(-12)) + 0. Which is the closest to 0? (a) w (b) -3\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12644736, 12644735, 12644734, 12644733?\nAnswer: 12644732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -987 or -2965\/3?\nAnswer: -2965\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 15) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/3 and 89\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 262, 371, 468, 553, 626?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z + 1. Suppose 5*f - 6*g = -g + 40, 3*g = -3*f - 6. Let p be b(f). Which is greater: p or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46 - (1 - (3\/(-1))\/3). Calculate the highest common divisor of 396 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1597*t + 943*t - 4135*t + 1585*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 27 = 3*x, 0 = m - 2*x + 6*x + 23. Calculate the remainder when 42 is divided by (-112)\/(-6) + (-28)\/(-21) + m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3104 - 675?\nAnswer: -3779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.73 - 0.15. Let k = -4.4478 - -0.1278. Let q = t + k. Does q = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/3)\/(u*u\/(u**(-4)*u)))\/(u**(-1\/10)*u*u**(-6)) assuming u is positive.\nAnswer: u**(-37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*b = 24, -2*u - b - b = -4. Suppose 66 = 2*a + u*a. Suppose 4*x - 86 = -6. Solve -o + 11 = -4*z - a, 0 = 4*z + x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + 3\/(6\/226)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2452 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k - 71 + 145 - 74. Let r(n) = -3*n - 3. What is i(r(p))?\nAnswer: 42*p + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.3, 3, 3.7 in decreasing order.\nAnswer: 3.7, 3, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**4 - 284*p**3 + 536*p**2 + 1136*p - 2208 = 0.\nAnswer: -2, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -72, -3, -7 in decreasing order.\nAnswer: 4, -3, -7, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - -44. Does 4 divide x\/(-455) - 2316\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -12133?\nAnswer: -12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37097.12 - 36847. What is b rounded to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 x, 1 d, and 1 w when four letters picked without replacement from lwxxlxxodxxoxxwdlxw.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15751*t**2. Let r(m) = 37*m. Give g(r(y)).\nAnswer: 21563119*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 699718 and 1424?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10\/6 + -1)\/((-8)\/(-420))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4554800 to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6676 - 6647. Calculate the remainder when 3420 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 12*c + 70. Let p be v(-9). Let f be 10\/(2\/19 + (-72)\/p). Suppose -4*s = -4*k - 272, 3*s + f*k = 2*s + 80. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3606166940 to the nearest integer?\nAnswer: 60051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85416171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218676768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -1212011001?\nAnswer: -1212011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 15, 1, -19, -45, -77?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + s**2. Suppose 3*j = 2*w + 2*j + 207, 2*j = -w - 106. Let k = 104 + w. Let t be u(k). Solve t = 4*q + q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 24*x + 188. Let r be x\/(-6)*23 - -2*1. Do r and 38 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 7:53 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 7*r**2 - 2*r - 8. Let k be n(-7). Let m(o) = -2*o + 0*o + k + o**2 - 2*o. Is 4 a factor of m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u - 126 = -46*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiaaiiii?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m**3 - 4*m - 15. Let u(r) = 9*r**3 - 3*r - 18. Calculate 5*l(x) - 4*u(x).\nAnswer: 4*x**3 - 8*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -16*r**2 + 655*r - 381. What is y(40)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)\/((r*r\/(r*r\/((r*r**(-7))\/r)*r))\/r))\/(r**(1\/4)*r**2)*(((r\/(r**(-2)\/r))\/r)\/r)**(-37)*(r*r**(1\/3))**(-36) assuming r is positive.\nAnswer: r**(-1381\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*a - 2*s + 4, 0 = -5*a - 3*s - 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 36 = 4*z + 4*a, -3*a - 33 = 3*z - 24 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0, 4, 33033, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*y = 51*y - 564 + 250 + 5006 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d + 14. Give i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4588 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706517.\nAnswer: 7, 100931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71583*u - 84*u**2 - 608*u**2 - 71583*u.\nAnswer: -692*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + -55?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 7*u - 2*u. Let o(k) = 9*k - 5. Let i(s) = s - 1. Let m(j) = u*i(j) + o(j). Let f(a) = 2*a**2 - 86*a - 76*a + 162*a. Calculate m(f(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**3\/3 - 3*v**2 + 5*v - 1. List the prime factors of q(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/2 + 0 + -1. Suppose -8*a = -9*a + 2. Is 3\/a*100 + n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2 + 4*p**2 + 8*p + 7*p**2 - 4*p - 15*p**2 + 3*p**2. Suppose 4*t + 14 = -3*c, -4*t + 3*c - 28 = -c. Let h be (-7 - t) + 10\/2. Give n(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 662854641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 7\/72418?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -549094 - -549337. Factor 270*j + 111\/4*j**2 + 3\/4*j**3 + b.\nAnswer: 3*(j + 1)*(j + 18)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*a - 24*a + 29*a)*(-3 + 8 - 21) to m + w*a and give w.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b. Let m(r) be the first derivative of -1 + 0*r**3 + r + b*r**2 + 1\/4*r**4. What is the derivative of m(l) wrt l?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.1 - -22. Is 1.4 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 1760 = 1785 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-90))\/(38150\/(-6540)*((-90)\/125)\/(-2)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/2145689 and 105\/14100242.\nAnswer: 98701694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**6\/15 - 9*k**5\/10 - 10*k**4\/3 - 4*k**3 + 29*k. What is z in w(z) = 0?\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01847 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/3 - 197935*k\/3 - 65604196\/3 = 0. Calculate k.\nAnswer: -197603, -332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (470\/115 - 6\/69). Suppose j = 5*g - 6*g. Solve -4*x - 8 = g, 2 = -2*d - 4*x - 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/5054 and 7\/5730.\nAnswer: 14479710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 + 3*d - 2. Let g be c(2). Let q = 348 - 510. Let a = -112 - q. Calculate the highest common factor of g and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 19*b + 50 = 0, 32*p = 36*p + b + 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**18*i\/(i**(1\/10)*i))\/((i\/i**12)\/i)**(2\/9) assuming i is positive.\nAnswer: i**(677\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 8. Suppose -184 = 2*y + c*v, -4*y - 306 - 35 = -v. Let g = 64 - y. Round g to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1209*y - 396 = -1242*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 2\/13 (c) -708 (d) 2 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 502\/407 + -12\/37. Suppose 0 = -w - 2*x + 40 - 3, -3*w - 5*x = -109. Suppose -12 = w*v - 39*v. Is p greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2.8, 2\/7, 4, 4679?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -289 + a?\nAnswer: -27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - k + k)*(1664 + 1455 - 3488 + (-1 + 1 + 1)*(-3 + 0 + 1)) in the form b*k + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23454484 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26289.\nAnswer: 3, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106775 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 9*v + 17. Let q be t(10). Let o(f) = -7*f - f**2 - q*f + 14*f. Let l(s) = -8*s. What is o(l(u))?\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 16*i**2 + 29687*i - 415886. What is h(14)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.51 - 14.51. Let s(j) = j**3 + 27*j**2 + 26*j - 4. Let b be s(-26). Sort 6.4, b, z.\nAnswer: b, z, 6.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 3, q: 1, k: 1, p: 1}. What is prob of sequence cd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -9026255?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/4*(-10)\/(-380)*2\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n*n*n**2)))**(1\/29))**(-1\/6))**45 assuming n is positive.\nAnswer: n**(-30\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 2*n**2 + 3*n - 11. Let u be y(2). What is the fourth biggest value in 1\/6, 0.3, u, 1.6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -914, -1758, -2602, -3446, -4290, -5134?\n\"Answer: -844*u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*(-22)\/(-33)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -5805?\nAnswer: -580.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (18 - 1) + -113 + 145?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 35 = 5*b, -16*b + 12*b - 2*y = -2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-30) - -3*(-6)\/210\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4 = -2*x, 4*o + 2 = -2*x + x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t = -521 - 229. Calculate the remainder when 478 is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 9.725.\nAnswer: -0.389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o + 0*o + 2*o)*(-1 + 3 + 1)*(5 - 3 - 1) to the form w*o + u and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.04 - -1.04. Let r = -602068\/7245 + -8\/805. Let n = -83 - r. Which is the second smallest value? (a) n (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 74811*f**2 - 1407994407*f + 329505927453.\nAnswer: -(f - 37287)**2*(f - 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000155550719 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 329952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 66.963*0.165\nAnswer: 11.048895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from esskllksko?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1584)\/(-20))\/(6\/30) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3263090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35 - 34 + 8*v**2 - 65*v - 25 + 105 - 24 + 182*v**4 + v**3 wrt v.\nAnswer: 2184*v**2 + 6*v + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21304342 (base 7) to base 13.\nAnswer: 4b7b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 0 + 1 + 16. Suppose -3*a + 15 = 0, 0*x - 5*a - 14 = -x. Suppose c - x = s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23239018 to the power of 1\/2, to the nearest integer?\nAnswer: 4821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -13c5c2?\nAnswer: 13c5c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.09 from -0.04.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*d + 290823, 4*d + 193876 = 2*b - 0*d. Round b to the nearest 1000.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 + 6*g - 97. What is z(-18)?\nAnswer: 1739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4*(sqrt(84)\/sqrt(3) + sqrt(7) + sqrt(56)\/(sqrt(8) + sqrt(24)\/sqrt(3))) + 0 + (sqrt(3087) - sqrt(3087)*-1)\/sqrt(9))*1)**2.\nAnswer: 49392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bssbmsbbsbsss. Give prob of picking 1 m and 3 b.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 133*g**3*w**3 + 4177*g**2*w**3 - 1803*w**3 - 3*w**2 - 1 with respect to g.\nAnswer: 399*g**2*w**3 + 8354*g*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2706 and 207?\nAnswer: 186714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2399070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 22*j**2 + 30*j - 21. Let q be o(20). Are 2\/9 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*w - 2*q, 5*w - 3*q - 75 = -0*w. Suppose -5*a + 3*v + 74 = 4*v, -16 = -2*a + 3*v. What is the smallest common multiple of w and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2. Let p(a) = a + 1. Let u(h) = 26*h + 22. Let q(d) = 44*p(d) - 2*u(d). Give n(q(k)).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9 (b) -2 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -46. Put l, -2, 0 in decreasing order.\nAnswer: l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23738131 divided by -6.\nAnswer: 23738131\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -1. Suppose -d + 4 = h. Let y(c) = 1. Let j(z) = -2*z + 8. Suppose -m = -4*t - 31, 4*m = 5*t - 0*m + 36. Calculate d*j(f) + t*y(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-198)\/(-48) + 14\/16 + -1. Let f(o) = 10*o**2 + 7*o. Let p be (-8)\/(-16)*12\/2. Let l(q) = -p*q - 1 - 3*q**2 + 1 + q. What is g*f(u) + 14*l(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**6\/60 - 5*o**4\/24 + o**2. What is the second derivative of q(t) wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15678580 + 120*q**2 + 15678580.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 13. Let b(t) = -t**3 - 7*t**2 - 6. Let w be b(z). Let g(o) = -8 + 8 - o + 0*o. Calculate g(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 3\/7 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 6*j + 34. Solve -6 = -4*x - f, -f - 3*f + j = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = j. Let i be ((-4)\/(-10))\/(2\/490). Suppose 2*z + 4*s = i, -3*s + 5*s = -6. Calculate the greatest common divisor of j and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/6))**(2\/27) assuming w is positive.\nAnswer: w**(5\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(905*h**2 + 112652*h - 112652*h).\nAnswer: -1810*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 4*v**2 - 3*v + 1. Let j be a(-3). Suppose -6 = -3*i + 12. Calculate the highest common divisor of i and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.53 + -0.03. Suppose 2*s + 12 = 2*p, -4*p - 2*s = -0*p. Let u be 0 - (-3)\/p*2. Which is the second biggest value? (a) 0.1 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1467043847 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 449384 and 34568?\nAnswer: 449384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -351 + 345. Let g be 8 - (-225)\/(-27) - 2\/u. Solve g = 4*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 316508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/336 and 139\/18?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11030052 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*i + 5 + 0 = 0, -3*h + 3*i = 3. Let u(b) = 3*b**2 - 11 + h*b + 2*b + b + 0*b. Let w(k) = k**2 + 2*k - 4. What is -3*u(r) + 8*w(r)?\nAnswer: -r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -241 - -79. Let b be (-4)\/(-14) + x\/(-21). Suppose 5*m - 17 - b = 0. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let g(o) = 10071*o. Determine g(p(w)).\nAnswer: -20142*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-44.82\nAnswer: -31.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24546099 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*p**2 + 1 + 33*p**2 - 139*p**2 to the form s + u*p**2 + w*p and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {c: 3, p: 1, z: 6, s: 1, j: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2467143789?\nAnswer: 3, 11, 74761933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1340*d + 5049. What is m(4)?\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3238637522.\nAnswer: 2, 1619318761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/(2\/3). Calculate the common denominator of 127\/12 and ((-76)\/(-48) + o)*-11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 58 - 61 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 866 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 16.9. Let o = -4.2764 - -0.2764. Let y = 0.2 + 0.1. What is the closest to a in y, o, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14619600 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbbf when four letters picked without replacement from {m: 2, f: 2, b: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:31 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((-6)\/(-2))\/1. Let c = 2 + h. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4))**(8\/9) assuming x is positive.\nAnswer: x**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 60129\/432 + 17*(-108)\/9792\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d**2*p - 43*d**2*y + 10*d*p - p*y**2 + 2*y**2 with respect to y.\nAnswer: -43*d**2 - 2*p*y + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1075*k**2*o*v**2 - 2*k*o*v + 3*k - 2*o*v**2 + 3*o + 3*v**2 wrt k?\nAnswer: -2150*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccx when three letters picked without replacement from {x: 4, c: 7}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44154.6 and -0.532?\nAnswer: -23490.2472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, l: 3, q: 8}. What is prob of sequence lq?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 159*a + 2030. Let k be b(-145). Let s = 3 + -1. Suppose 0 = -j - s*y + 1, 0 = 2*j + 7*y - 2*y. Solve k*l = j*p - 3*l - 5, -p - 6 = -2*l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4211*g + 964*g = -36225 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*j - 57*j = 5*i - 45, -30 = -4*i + 2*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y + 100. Calculate the remainder when 12 is divided by c(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343*c = -344*c + 19. Suppose 5*s = 4*s + k + 8, s + k = -2. Differentiate -2049*g + 2049*g + 13 + s*g**2 + c with respect to g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93569956 + -93569999.4323962. Let f = 51.35239167 + m. Let w = f + -7.92. Round w to seven decimal places.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*j - 129 = -20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*g - 7, 2*g + 3*t = g - 1. Is -2 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.7 less than -0.1905492?\nAnswer: -240.8905492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 5*j - 9. Let a = -9 + 16. Let k be b(a). Suppose -y + 1317 = 5*r, -k + 1 = -2*y. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4726 - 4745.53. Let z = 18.7 + g. What is z rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 3*c)*(-7*c - c + 0 - 2) to d + t*c + k*c**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -3.83.\nAnswer: 19.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 9:35 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 8455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/12 - 3*w**2\/2 - 2*w - 2. Let r(v) be the first derivative of s(v). Find the first derivative of r(c) wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1330*o**6 - o**2 + 131*o.\nAnswer: 159600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2460299?\nAnswer: 2460299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = 0, 0 = -2*u - u - 2*p + 10. Suppose 0 = u*t + 9*t - 765. Find d, given that 0*d - d**4 - 68*d**3 + 56*d**3 - 48*d**2 - 13*d - t*d = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + -4 + 2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2833*g**3 - 4*g**2 + 2*g + 1. Let l be s(1). Let w(x) = -4*x**2 + l - 2832 + 2*x**2. Let q(j) = -38*j + 2. What is q(w(p))?\nAnswer: 76*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216191 is divided by 2702.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 21 = -416. Let t be s\/9 + (-4)\/(-18). Which is greater: t or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 18190 = 2*r, 4*r - 4 = -24. What is the greatest common factor of x and 525?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/((-468)\/162))\/(((-1)\/(-5))\/(210\/(-63)))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796064 is divided by 731.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 98\/(-12) + 1. Let b(i) = -i**3 - 74*i**2 + 245*i + 1072. Let c be b(-77). Is g > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 5:10 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2026?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + 1\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 1\/12*d**4 + 26 - 3\/2*d**2 + 1\/6*d**3 - 2*d. Determine x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -123 in 2\/66805, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*o**4\/5 - 35289*o**3\/5 + 27399*o**2 + 31749*o\/5 + 1788\/5 = 0. What is o?\nAnswer: -149, -1\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931723 is divided by 120?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 4853 = 4985 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -11\/340 = -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 184666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 218586042 a multiple of 1289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 5*c. Let w(l) = 2*l**2 - 8*l. Let g(v) = -8*f(v) - 5*w(v). Let d(j) = -3*j - 1. Give g(d(i)).\nAnswer: -18*i**2 - 12*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = w - 28. Suppose -5*v = 2 - 32. Calculate the greatest common factor of w and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*c**2 + 379 - 379)*(-3 - 4*c + 3)*(3 - 4 + 2) as m*c**2 + p*c + f*c**3 + a and give f.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 5*h**5\/12 - h**4\/24 - h**3\/3 + h**2 + 3. Let v(b) be the second derivative of f(b). Does 20 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (-10)\/5) + 4. Suppose 7*d - p*d = 0. Solve d = n + 2*n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 46*u - 392 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2028*p**4 - p + 21696?\nAnswer: -8112*p**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -0.4697?\nAnswer: 0.5303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34722 and 1547058?\nAnswer: 3858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -203119?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - 4*o**2 + 9*o. Let m(q) = -q + 28. Let g be m(22). Let v(k) = 2*k**3 + 3*k**2 - 8*k. Give g*v(w) + 5*y(w).\nAnswer: 2*w**3 - 2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -4, -0.4, 18, 47781?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(2\/27)*j*j)\/j**(3\/8))\/(j*j**(2\/7)*j**(2\/39)*j) assuming j is positive.\nAnswer: j**(23861\/19656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - 45*c**2 + 10*c + 50. Let z(q) = -q**3 + 23*q**2 - 5*q - 25. Let f(t) = 2*o(t) + 5*z(t). What is the units digit of f(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184835058481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 27 - 6. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -5954e7e?\nAnswer: 5954e79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 16. Let n be l(16). Solve n = -5*r - 4 - 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 57*d**2 - 10*d + 2. Let h be z(4). Let j be 69\/h*4\/(-3). Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 142, 140, 138, 136, 134?\n\"Answer: -2*l + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -s + 4*b, 39*s = 37*s - 5*b + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/22, 0.2, 0.03, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 364? (a) 2\/9 (b) -2 (c) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooxpoxxoxppo. What is prob of sequence oxxp?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {r: 1, x: 4, n: 1, i: 7, s: 2, t: 4}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 5*f + 2*o, -90 + 26 = 5*f - o. Let k be 2\/(2\/f*(8 + -12)). Solve -6 = -k*y, -b - 1 = -2*b - 2*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 12*u**3 + 3*u**2 + 7*u + 12. Let v(g) = -12*g**3 - 3*g**2 - 5*g - 10. What is 5*k(s) + 6*v(s)?\nAnswer: -12*s**3 - 3*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddr when three letters picked without replacement from {t: 1, d: 10, q: 7, r: 1}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*b - 6912 + 587, 0 = -b - i + 1273. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -490909 in -4\/5, -1, 0.4, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 15 in decreasing order.\nAnswer: 15, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*g**6 + 10*g**4 - 93*g**3 + 904874*g**2.\nAnswer: -2400*g**3 + 240*g - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 912 and 1272.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(91) + sqrt(91))*6)\/((sqrt(175) + (1*sqrt(175) - sqrt(175)))*3).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 518, 882, 1288, 1742, 2250, 2818?\nAnswer: 3452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + -1 + 40 + -40?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.526 less than -11984951?\nAnswer: -11984950.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuuuttetuuutteotou. What is prob of picking 2 u and 1 o?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -115, -173, -229, -283?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 13. Let p = b - 7.7. Let j = 0.3 - p. Put 2\/17, j, 2\/3 in descending order.\nAnswer: 2\/3, 2\/17, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**2 + 4*a - 1. Let f be p(3). Suppose 0*k + k = -2. Is f greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:17 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -307, -5, 86.\nAnswer: -307, -5, -1, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 11*y + 9. Suppose 231 = y*c - 849. Let m be (-14 + (-1 - 0))*-1. Calculate the highest common factor of m and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - s = -146, 3*l = -2*l + 5*s + 210. Find the third derivative of -2*h**2 + 18*h + 2*h + l*h**3 - 2*h wrt h.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93578 times -0.4?\nAnswer: -37431.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6531576127 less than -1.8?\nAnswer: 6531576125.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzpq when four letters picked without replacement from {q: 5, z: 6, p: 4, w: 4}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*x - 30, -737*x - 22 = 4*l - 739*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -35*y**2 - 12*y - 3. Let k(i) = 138*i**2 + 47*i + 11. Let b(u) = 3*k(u) + 11*o(u). Let x(t) = 7*t**2 + 2*t. Calculate 2*b(v) - 9*x(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - m = m + 6, -m + 1 = 0. Let j(n) = -2*n - 3. Let w be j(f). Let y = 10 - w. Solve -18 = y*d + 4*a, -5*d + 2*d - a - 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2965089316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 8*t - 1. Let i(b) = -5*b**2 - 7*b - 2. Let u(z) = 4*z**2 + 6*z + 1. Let d(m) = -3*i(m) - 4*u(m). Let a be d(-5). Is p(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 129 (c) -5 (d) 285.934\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5128*j*v + 7148*j with respect to v.\nAnswer: 5128*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179*p**5 + 133*p wrt p?\nAnswer: 3580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2117 - 2097. Solve 2*c + 4*q = 26, -21*q + s = -17*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1281*m**2\/2 + 5139*m\/2 - 30.\nAnswer: -3*(m - 4)*(427*m - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 18*q. Let z(u) = 191*u**2 - 114*u**2 - 117*u**2. What is x(z(m))?\nAnswer: -720*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 1007 = -16*t - 15*t for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 11*h + 8. Let z(n) = 4*n + 3. Let b = -36 + 28. Let o(q) = b*z(q) + 3*d(q). Let k(t) = t**2. Give o(k(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.22 - -0.22. What is the closest to 0 in -2, l, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 1. Let r(q) be the first derivative of -7\/2*q**2 + 5 - 4*q. Determine r(n) + 5*z(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = 2. Let u be 1\/s + 1\/3. Solve 5*k = 2*b - 5, k - b + 1 = -u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/168)\/(2*1\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:28 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.718 + -0.79. Let y = -0.072 - r. Let x = 3 - 3. What is the third smallest value in y, -2\/13, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 516*a**2 + 0 - 233*a**2.\nAnswer: -749*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5 + 5. Let b = -30 + 33. Sort b, -5, c in decreasing order.\nAnswer: c, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -5 + -19 + (186 - 249)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 5*d + 4 = -2*i, 2 = -i + d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 17*o**2 + 2*o + 477. Determine y(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**2*t**2 + 29*c**2 + 17*c - 133*t**3 wrt t.\nAnswer: 6*c**2*t - 399*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-72))\/((-1)\/(-3)). Let r be 1 + 1*(-5 + 2). Sort 4, a, r, 3 in ascending order.\nAnswer: r, a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/364408 and 71\/324228.\nAnswer: 720434616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, -146, 5, -2 in descending order.\nAnswer: 156, 5, -2, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bvvvvvbvbbvvbbvb.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/15 - (-34)\/10. Let u(n) = 9*n**3 - n. Let t be u(j). Suppose -q = 4*q - t. What is the highest common factor of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19649.2 < -368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -461 or -329893\/715?\nAnswer: -461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7888 and 2236673.\nAnswer: 1037816272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13647 + -11313. What is the highest common factor of 42 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**2 - 10464*o - 20918. What is j(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w - 2*t = -32*w - 2, 0 = 2*w + t - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -5*y**3\/2 - 93*y**2\/2 - 32*y. Let x be o(-6). Let i(q) = q**3 - q**2 - 3*q + 3. Determine i(x).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -29*b + 1591. Let h(a) = 27*a - 1593. Let f(i) = -6*h(i) - 5*z(i). Is f(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 557070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -0*x - 4*m, -4*x + 3*m = -5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*l**3 + 546*l**2 + 3756*l - 9576.\nAnswer: -3*(l - 42)*(l - 2)*(5*l + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415*w - 630*w = -2090. Suppose x = 3*n - 3*x + 6, 2*x - 16 = -5*n. Suppose -n - 3 = -h. Put 1, w, h in descending order.\nAnswer: h, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Let m = 1 - l. Is (-47)\/((m*3)\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 6\/5*s**5 + 0*s**4 + 0*s + 2 - 2\/3*s**3 + 0*s**2. What is the third derivative of z(u) wrt u?\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 43*u**4\/12 + 55*u**3\/6 - 75*u. What is the second derivative of p(v) wrt v?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3\/2, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/32 and (-2157)\/195 + 49\/7 - -4?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -3\/2, -8113?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -48. Suppose -b = 4*b + 25, -4*b - 16 = -q. Put f, 0, q in descending order.\nAnswer: f, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 74, 196, 328, 476, 646, 844, 1076?\n\"Answer: r**3 - r**2 + 118*r - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggkksmmzzgkgk. What is prob of picking 1 m and 1 k?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656276 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 2*a - 1. Let c(q) = -q**3 + 21*q**2 + 14*q + 176. Let u be c(22). Calculate g(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -974 = -54*b + 3902 + 578. Solve 0 = -b*i + 93*i - 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + d + 8, -6*d - 1 = -y - 7*d. Let m(o) = -7*o + 15*o + 9 - 7*o. Let p(c) = c + 4. Calculate y*m(t) - 7*p(t).\nAnswer: -4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*5*2\/(-2). Let w(p) = 14*p**3 + 5*p**2 + 2*p. Let s(v) = -7*v**3 - 3*v**2 - v. Calculate a*s(h) - 3*w(h).\nAnswer: -7*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.49 - 2.1. Let f = m + -0.282. Let x = 0.09 - f. What is x rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*b - 3*b. Suppose b*g = -0*g + 176. Calculate the highest common factor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -0.2, -22.3, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 24*f + 1. Let v(j) = 58*j. Determine v(k(o)).\nAnswer: 1392*o + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 2}. Give prob of sequence zkz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 61976801 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-24)*21 + 3716993. Suppose -412*q + m = -405*q. What is q rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-10) + 146\/(-20)*-2. Suppose 47*i = 50*i - v. Let r(t) = -t**2 + 8*t - 11. Let c be r(i). Calculate the highest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*2*sqrt(170)*4)\/(sqrt(10) + (sqrt(20)\/((sqrt(2)*-1 - sqrt(2)) + sqrt(2)) - sqrt(10)) - sqrt(1000)\/sqrt(4)).\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -13*m + 1. Let w be p(1). Let r be 3\/(-24) + 33\/8. Calculate the common denominator of w\/r + 81\/(-4) and -23\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -36, 0 in descending order.\nAnswer: 6, 4, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 9:18 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q. Let x(l) = 1243*l - 5. Let u(t) = 4*i(t) + 2*x(t). Let f be u(-2). What is f rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2\/7 (c) 1 (d) -1948 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/14 of a week?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 86*d**2 + 1473*d - 4296. Calculate n(-101).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, y: 4}. What is prob of sequence yyyz?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.94393 months to years.\nAnswer: 2.4953275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 + 11*k + 10. Let h be l(5). Let t = 193 - h. Solve -21 = -3*d + t*z, -5*d + 15 = -0*d + 5*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -529242 divided by -440.\nAnswer: 264621\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 + -130332?\nAnswer: -131001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 1, f: 2, p: 1, t: 1, s: 1}. What is prob of sequence se?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1530 - -1538. Sort -0.12, m, 5.\nAnswer: -0.12, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 r, and 1 n when four letters picked without replacement from frfrunfnrfnrrrn?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 913054*x**2. Let g(q) = -71*q**2. Determine p(g(c)).\nAnswer: 4602705214*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 1. Let t(h) = -10*h**4 + 2*h**2 - 142. Let g(l) = 2*o(l) - t(l). What is the first derivative of g(b) wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2532 - -2537.758. Let j = 0.118 - o. Let t = j + -0.36. Which is the closest to 1? (a) -0.4 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -596.887 + 599.5. Let u = -3.27 - -0.48. Let f = x + u. Round f to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -102*r + 107*r - 395. What are the prime factors of r?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913270.6um in meters?\nAnswer: 0.9132706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 17971?\nAnswer: 1797b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 113280 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 53. Let j = -0.1 - -1.1. What is the smallest value in j, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58177361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -173 in 0, 2\/5, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = f - 5 + 2, -w + 3 = 0. Suppose -3*y - y + 28 = f. What is the smallest common multiple of 2 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 1)*(2 + 2*s - 2) + 3*s - 2 + 2 + (-3 + 2 + 0)*(1 - 6*s + 6*s + 4*s) to f + p*s and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19269 is divided by 2314.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18576860 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65765042 is divided by 9110?\nAnswer: 9062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 0.23934293396899?\nAnswer: 3.23934293396899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 + 0*s**3 + 0*s**3 - 5*s**3 - 4*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1332220112?\nAnswer: -1332220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 - 204*r - 7 - r**4 - 10*r + 5 as y*r**4 + p*r + j*r**2 + s + c*r**3 and give p.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 2, c: 4, k: 8}. What is prob of sequence kxk?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 3:08 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5835924 divided by -6\nAnswer: -972654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -47*(-1 - (-25)\/5 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 843 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 112239459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 274 by -3.\nAnswer: -274\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**17\/q)))**(-6\/7)*q**(-12)\/(q\/q**(2\/7)) assuming q is positive.\nAnswer: q**(-185\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 16*h**3 + 255*h**2 - 14*h + 50. Calculate l(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -102233 (base 9) in base 11?\nAnswer: -41671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmmmmcmxxxxxx. Give prob of picking 1 x and 1 c.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(24)\/((sqrt(80)\/sqrt(5))\/sqrt(2)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 5 - (3 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 835844260 divided by -2.\nAnswer: -417922130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 78634.19 hours?\nAnswer: 283083084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-349401)\/1734*(-8)\/52.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 34*f**3\/3 + 277405*f**2\/3 + 269213*f\/3 - 8158\/3 = 0.\nAnswer: -8158, -1, 1\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 6. Is (2 + -3)*(-11 - c) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -10.9. Which is the nearest to o? (a) -4 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/(-11) - (-124)\/(-341)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, 5, 0.5162 in decreasing order.\nAnswer: 141, 5, 0.5162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42.8 + 44. Let z = o + -1.184. What is z rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 93 = -5*q + 2*q, 2*u + 4*q - 58 = 0. Calculate the highest common divisor of u and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 5. Let r be f(-5). Let c be (r\/(-3) + -2)*3. Let y be (2\/3)\/(2\/6). Solve 0 = y*s - c*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 37 = -5*l + 8, -6 = 2*l + m. Let x(p) = -7 - 2*p**2 + p**2 + 5*p - 13*p. List the prime factors of x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66099279 to the nearest integer?\nAnswer: 8130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 22, 0.2, 4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 15 = 5*x, 5*d - 2*x + 4 = -4. What is the remainder when 29 is divided by 16\/((-1)\/d*2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 - 167*g**2 - 45058*g + 90780.\nAnswer: (g - 510)*(g - 2)*(g + 178)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 345*d. Let t(v) = -2*v + 192. Calculate t(y(c)).\nAnswer: -2*c**2 + 690*c + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11400 by 5.\nAnswer: -2280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2 - 2)*(924 + 875 + 2938 - 2233).\nAnswer: -2504*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 0 = -18. Let o be 0\/((2 - -1)\/l). Suppose o = -a - 3 - 6. Is a at most -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1592, 1519, 1408, 1259, 1072, 847?\n\"Answer: -19*u**2 - 16*u + 1627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 757167 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**4\/11 + 66*g**3 - 85158*g**2\/11 + 4113234*g\/11 - 71114112\/11 = 0.\nAnswer: 57, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**4 - 47597*c**3*t**3 + 419733*c*t**3 wrt c?\nAnswer: 24*c**2 - 285582*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18651226*p**6 + 314631*p**2 - 33 wrt p?\nAnswer: -2238147120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 770599 and 1720204.\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 6:19 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3460 - 1230 + 3*v - 2*v - v**2 - 1400 - 5508.\nAnswer: -v**2 + v - 11598","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 467277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/273)\/((-1*4\/6)\/12)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4 + 10272824*m**3 + 4705243*m wrt m?\nAnswer: 12*m**2 + 61636944*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1132.169 + 371.57. Let f = d - -760. Let w = 0.021 - f. What is w rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41079*y + 0*y**3 + y**3 + 136*y**2 + 41079*y - 265*y**2.\nAnswer: y**3 - 129*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -28, -57, -106, -181?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79259\/7 >= 11324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 319685153959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(51)\/(sqrt(3) + 6*(sqrt(3) - 1*sqrt(3)) + sqrt(3)).\nAnswer: -3 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16 - -5) + 6 + 33. Calculate the highest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 3*u - 27, 21 = -4*u + 8*u + 3*f - 18 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 - 88. Suppose -18*w + k = -17*w. Calculate the smallest common multiple of 6 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4890*j**2 - 48921*j + 210 = 0.\nAnswer: 7\/1630, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23068 or 1?\nAnswer: 23068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 44.51, -27, -0.01?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*x = 4*m + 108*x - 1948, 2*m + 5*x = 1009. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 2:08 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 429 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7522, 23, 24 in descending order.\nAnswer: 24, 23, -7522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-16))\/(((-2)\/6)\/1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Suppose 0 = -g*a + 13 + 32. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/92250 and 19\/469000.\nAnswer: 173061000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 379 - 12a08?\nAnswer: -1263a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26623, -25361, -23271, -20353, -16607?\n\"Answer: 414*j**2 + 20*j - 27057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*d + 19 = 0, 2*o - 21 = -2*o + 5*d. Let n be ((-12)\/(-10))\/(o\/10). Is (-12)\/8*(-4)\/n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 - (-1 + -19 + 0 - -9) - 14?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -10.8. Let r = 99.5 + -100. Which is the smallest value? (a) r (b) q (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-32)*-2*2\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*s = q + 72, 0 = 5*q - 3*s - 167. Let k(m) = m**3 + 12*m**2 - 68*m + 30. Calculate the remainder when k(-16) is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/19, 0.2, 17, 2\/11?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9c09a - -2?\nAnswer: 9c09c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -474*u**2. Let g(m) = m - 4. Let d(c) = 11*c - 48. Let y(s) = d(s) - 12*g(s). Determine b(y(k)).\nAnswer: -474*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.29383 to one dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(11) + sqrt(176) - (sqrt(1331) + 1*sqrt(1331)).\nAnswer: -17*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160980 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, j: 3, v: 6, w: 6, o: 1, q: 1}. Give prob of picking 3 j and 1 o.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -661 + 958. Suppose -3*b + 16*g - 14*g = -297, -3*b - 4*g + o = 0. Sort -1, b, -4 in descending order.\nAnswer: b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - g - 4*g = 24, 4*x + 5*g = -38 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8998*s - 71268. Calculate l(8).\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 370 = -2*g, 3*i - 532 = -2*g - 159. Calculate the greatest common factor of g and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3544 and 290608.\nAnswer: 290608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 21*t**2 - 2*t + 5. Let s(o) = -41*o**2 + 3*o - 11. Let m(h) = 5*c(h) + 2*s(h). Let x be m(2). Suppose -x - 28 = -5*w. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t + 5*o - 416 = 0, -o + 2 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 4 - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1696*r**2 + 563*r**2 + 568*r**2 + 566*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4730735*j - 4730675*j = 3660 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3522772 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = j - 2*z, 20 = 5*j + 7*z - 2*z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxgryyl. What is prob of picking 1 x and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1.3, -1.\nAnswer: -1, 1.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 349767167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least as big as -31\/2068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -324 divided by 2\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 40744 = 50876. Suppose -5*u + 1694 = -2*j + 4769, -5*j + n = -2*u. List the prime factors of j.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 281*i. Let c(f) = -9*f**2. Give c(l(v)).\nAnswer: -710649*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135034 and 428?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 11*r**3 + 69*r**2 - 66*r**2 - 1 - r - 2*r + 6*r**4 = 0?\nAnswer: -1, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, l: 2, v: 1}. What is prob of picking 2 l and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - 22 = 9*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*k - 1732*k**3 - 295 - k**2 + 8597*k**3 + 291 + 40*k**3 + 0*k**2 wrt k.\nAnswer: 41430*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 4. Suppose 2*v + 6 = 5*w, -3*w + 0*w = -6. Let m(f) = -v + 1 + 4*f + 4 - 3*f. Determine 4*i(l) - 5*m(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 4*l**2 + 4*l**2)*(-101 + 10*l + 215 - 109) + (1 - 1 - l)*(3*l**2 - 8*l**2 + 4*l**2).\nAnswer: -19*l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -922, -1895, -2868, -3841?\n\"Answer: -973*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 + 41*z + 8. Let a be p(10). Solve a = 5*q + 23 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17934459 + 26794459. What is t rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 15*w**2. Let p be v(-15). Let j(u) be the third derivative of 0*u**5 + u**2 + 1\/16*u**4 + p*u**3 + 0 + 0*u - 1\/80*u**6. Factor j(f).\nAnswer: -3*f*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**4\/24 + 7*c**3\/6 + 7*c**2. Calculate h(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 8:23 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 17*w**2 + w - 24. Let y be k(17). Do y and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*o - 209. Let b = o - 32. Solve -3*n - 4 = b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g**3 + 28*g**2 - 56. Let b(v) = -149 + 71 + 80. Let k(n) = -56*b(n) - 2*m(n). Find the third derivative of k(d) wrt d.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 10. Let a be z(10). Suppose 3*l - 191 - 214 = -4*v, -2*v + 6 = a. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -313.3 - -313. What is the fourth biggest value in 4, 12, -3\/4, o?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 + 0 = 0. Suppose 3*t + 4*c - 17 = -0*t, 3*t = -z*c + 13. Let k = -9 - -9. Solve k*q = -t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(132)*-1)\/(sqrt(84)\/(-5*sqrt(63))).\nAnswer: 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -231968 divided by -14498\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0)\/(42\/4551). Let g = f - 109. Let d = -1217\/7 - -24907\/140. What is the common denominator of d and g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {t: 9, c: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 37*t. Let u(d) be the second derivative of -11*d - 1\/4*d**4 + t - 7\/4*d**3 + 3*d**2. Factor u(r).\nAnswer: -3*(r + 4)*(2*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*l + 3 + 3 - 1516*l - 4 in the form j + y*l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -5. Let b be (2 - 3) + z + -2. Let m be (-36)\/24 - 0\/(-1). Which is bigger: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28320 divided by 3540\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*d - 3473 = 0, -h - 5*d = -0*h + 673. Let j = -1411\/2 - h. Find the common denominator of 41\/3 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 17. Let l be 1\/2 + (-161)\/(-36). Let c = l - 38\/9. What is the third smallest value in c, -0.4, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7576 or -9.3?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**2 - 3*m - 20. Let a(l) = -l**2 - l - 1. Let u(i) = -3*a(i) + h(i). Let k(d) = -2*d**2 - 8. Calculate 9*k(n) - 4*u(n).\nAnswer: -2*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7485 (b) -0.2 (c) 1.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23636*a**4*n**3 + 2*a**2 - 103*a*n**3 + 19*a*n**2 + n**2 wrt a.\nAnswer: -283632*a**2*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2 (c) -25\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*32\/96\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6827950 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 516?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*f - 33403 = 0, -5*f + 6284 + 405 = v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 + -1487\/16. Sort m, -0.1, 2\/3, -0.2.\nAnswer: -0.2, -0.1, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -121. Suppose 49 = c - l. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10726475 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -5, -1 in decreasing order.\nAnswer: 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 1. Let n(l) = -4*l + 7*l + y*l. Let a(k) = 5 - 33 + 65 - 2*k - 37. Give a(n(g)).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 1, g: 1, z: 1, o: 1, l: 1}. What is prob of picking 1 g, 1 y, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5 = 7. Suppose -84399990 = -i*h - 0*q - 2*q, -3*q = 4*h - 84399985. What is h rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 535.8475 nanograms?\nAnswer: 0.0000000005358475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**8)\/i*i)\/(i\/i**(-1)))\/((i\/(i**6\/i)*i)\/i**(1\/3)) assuming i is positive.\nAnswer: i**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64022545?\nAnswer: 5, 12804509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(1\/2)\/h*h)\/h)\/((h*h**(-3\/2))\/h*h))\/(h*(h**(2\/3)*h)\/h)**25 assuming h is positive.\nAnswer: h**(-122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 119. Let c(q) = 39*q - 27. List the prime factors of c(x).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43273 * 19.\nAnswer: -822187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*f - 79*f - 2 + 2.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 7:45 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3524, 3656, 3826, 3992, 4112, 4144, 4046, 3776?\nAnswer: 3292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 11. Let d(y) = y + 29. What is the units digit of d(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p - 6. Let y be i(-4). Suppose -a + 2434 = -5*m - 3179, 1113 = -m - 3*a. Let f = 1124 + m. Solve o + f*o + 3*g = -y, 5*g - 15 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/5)\/w)\/(w*w*w*w**4*w*w))**8 assuming w is positive.\nAnswer: w**(-424\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.515 - -1.51498962. What is x rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 1507 = -4*v, v = 4*y - 411 + 29. Let i be 3*-4*3\/v. Let t = 2 + 3. Which is the closest to 1\/2? (a) t (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmzzjvzzjmmjmzezz. What is prob of sequence jme?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 21 - 3 + 2 - 1 - 2 + (2 - 3 + 2)*(-5 + 4 + 3) + 5 - 3 - 1 - 1 + 4 - 4)*(23 + 0*m**2 - 35 - 2*m**2).\nAnswer: 46*m**2 + 276","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - r - 3. Let s = -49 - -42. Let a(x) = -5*x**2 - 3*x - 7. Give s*b(c) + 3*a(c).\nAnswer: -c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.9 + -35.01. Let f = 0.11 + d. Let s = 0.06 + -0.26. What is the second biggest value in -1, f, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 242*g**2 + 0 + 240*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -32. Suppose -g = -5*v + 10. Solve v*o + 0 = 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Which is the nearest to -0.2? (a) 0.4 (b) -3\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-one fifths of a meter?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 13*n - 45. Determine z(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 13 = -5*w, 4*z - w = 14 - 4. Suppose d + 5*n = -z*d + 4530, -n = -4*d + 4518. Does 37 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 9*p + 42. Give g(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 1. Let p(t) = t**3 + 5*t**2 + 10*t - 12. Let m(y) = -6*c(y) + p(y). Give m(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3 - 7) + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 273*z - 273*z + z**2 - 3*z**2. Let b(h) be the first derivative of 3 - 3\/2*h**2 + 0*h. What is b(s(w))?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 - 216*g + 3910 = 0. What is g?\nAnswer: 23, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40025 and 25325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(176))**2 - (sqrt(22)\/sqrt(2) + 2)) - ((sqrt(1331) + 0 + sqrt(1331))*3 - (sqrt(1331) - 5*(-1 + sqrt(1331))))**2.\nAnswer: -132422 + 1099*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 14384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 9*r**3 - 7*r**3 + 3*r**2 - 1 + 0*r**3. Let d = -317 + 322. Let v(j) = 2*j**3 + 4*j**2 - 1. Give d*m(x) - 4*v(x).\nAnswer: 2*x**3 - x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -952 + 1727. Let b = k - 687. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*p - 4 + 57*p**4 + 0*p**2 + 0 + p**2 - 28*p**4 - 31*p**4 as j*p + u + w*p**4 + t*p**2 + v*p**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b - 400. Suppose -24 = 4*i + b. Is (66 - -1)\/(((-2)\/1)\/i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.3 + -31.3. Let y = -29.58 - -0.58. Let k = n - y. What is the smallest value in -1, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1110 + -1382. What is the second biggest value in t, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-4 + -2 + 13 + 9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 970019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 11, e: 2}. Give prob of picking 1 d and 1 e.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -20363848.\nAnswer: 9\/20363848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 249472486*t**6 - 341676309*t**2.\nAnswer: 29936698320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10309 divided by 484?\nAnswer: -10309\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 222466753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 53748, 107358, 160702, 213648, 266064, 317818, 368778?\n\"Answer: -22*l**3 - l**2 + 53767*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -1857 - 1526. Find the third derivative of 9*c**5 + 277*c**4 + 6*c**3 + t*c**2 - 277*c**4 wrt c.\nAnswer: 540*c**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-120)*-4*-1*6*1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22817 - 2467. List the prime factors of k.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**4\/12 + o**3\/2 + o**2 - 3*o. Let y(k) be the first derivative of t(k). Differentiate y(h) with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184661 divided by -13?\nAnswer: -184661\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6763*1.\nAnswer: 6763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (176\/(-28))\/(29*16\/1624)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39*-10*6\/180?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + 7)*(-2)\/(-18)*-6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 225*d + 607 + 884 = 0. Solve 0 = -d*a - 10 - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2927, -508, 0 in descending order.\nAnswer: 2927, 0, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/10*6\/(-5). Suppose 528 - 141 = w*m. Is (-2)\/(-3)*m\/2 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(sqrt(117)*-2)**2.\nAnswer: -2808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - n + 11 = 0, 3 = -4*f + 2*n + n. Suppose -2*h + 0*h = -8. Suppose -3*k + 5 = -b, -f + 1 = k - h*b. What is the least common multiple of 5 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/120 - n**5\/60 - n**4\/24 + 1361*n**3\/6 + 8*n**2. Is a(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {p: 7, t: 3, i: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 - 106. Suppose 0 = -4*s + w + 14. Is s smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(9\/(-27))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Let o be (v - (-25)\/1)*-9. Is o\/(-5) - (-8)\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.855336 rounded to 3 dps?\nAnswer: 0.855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13041 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10628.4 + 10633. Which is the second smallest value? (a) y (b) -2 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 24, 48, 88, 150, 240?\n\"Answer: u**3 - u**2 + 10*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oien when four letters picked without replacement from oggonuie?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 12\/(-21) - (-772973)\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3, 2*y = -27*s + 23*s + 2. Sort 45, s, -2, -3 in decreasing order.\nAnswer: 45, s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -4*p**5\/15 + 4*p**3\/3 - 17*p - 94. Let g(j) be the third derivative of d(j). Let c(n) = -5 - 2*n + 5. Determine g(c(a)).\nAnswer: 64*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.016 + -29.016. What is the nearest to -1 in j, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 154?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -150, -5, 0, -1\/3, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -41842, 0.23 in descending order.\nAnswer: 0.23, -42, -41842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8086067 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12166 (base 8) to base 3.\nAnswer: -21012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.1 (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/60 - j**4\/24 + j**3\/6 - 27*j**2. Let w(k) = -k**3 + 5*k**2 - 3*k + 4. Give 4*m(p) - w(p).\nAnswer: p**3 - p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -4, -68, -4250.\nAnswer: -4250, -68, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -119*s + 836. Let h be m(7). What is the third smallest value in 0.05, h, -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*11.1\nAnswer: -8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9*o + 120. What is s(9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-1)\/v))**45\/(v\/v**(-1\/4))**(2\/25) assuming v is positive.\nAnswer: v**(899\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(15\/((-135)\/(-18))). Which is smaller: u or 6\/23?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9639753.2 rounded to the nearest ten thousand?\nAnswer: -9640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {b: 1, e: 2, k: 1, q: 1, s: 1, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1590 by -3.\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-128)\/(-24) - 5 - 80\/(-3) and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 177 - q - 177 - 125*q**3 as z*q**3 + m + a*q**2 + l*q and give z.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 34*p = -14. Suppose p*d = 6*d. What is the second biggest value in -7, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7470.922038 to 1 decimal place.\nAnswer: -7470.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -245*q - 1956. Let r be c(-8). Let y(a) = 11*a - 4. Let d(h) = 330*h - 121. What is r*d(t) - 121*y(t)?\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20428 - -20428.000026175. Round f to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5724 + 5916. Let s be 6\/5*a\/9. Let k = s + -397. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 110 = -554. Which is smaller: c or -147?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 356504.5.\nAnswer: 21390.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 6. Let g be (-27)\/18*n\/9. What is the nearest to g in -1, 4\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i + 32. Let a(r) = -r**3 + 9*r**2 - 7*r - 3. Let m be a(i). Solve 3*d - 15 - 25 = m*q, -5*d + 4*q + 45 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -13686.\nAnswer: 1\/6843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -493831 + 116049597\/235. Let m be 14\/91 - (-48)\/(-1833). Let j = m + s. Is j at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.45 and -96879.\nAnswer: -140474.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 10*h + 12. Let n be x(9). Suppose 5*w - 45 = 5*m, 7 = -4*m + n. What is the derivative of w - u + 3*u - 6*u wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(2\/3)*(y\/(y*y**8))**32 assuming y is positive.\nAnswer: y**(-764\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -140? (a) 3 (b) -2\/5 (c) -3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -41 - 6*t**2 + 6*t + 21 + 26 + t**3. Let j be (-6)\/(-10)*(-151 + 141). Let o(d) = -d**3 + 7*d**2 - 7*d - 7. Give j*o(s) - 7*h(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 468910, 468911, 468912, 468913?\n\"Answer: l + 468909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*c - 25, 4*w - 10 = 2*c. Solve 3*v = 7 + 8, w = -n + v - 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u - 4. Let o(g) = -14*g - 8. What is 7*a(y) - 4*o(y)?\nAnswer: 7*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28415*l**4 - l**2 + 25510 with respect to l.\nAnswer: 113660*l**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90 + 18561\/(-207))\/(13\/18).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336, 674, 1010, 1344, 1676, 2006, 2334?\nAnswer: 2660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 6*m - 5*m)*((m + 2*m + 0*m)*(-1 + 1 + 2) - 11*m - 2*m + m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42867.06217 - -317.29.\nAnswer: 43184.35217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (6*sqrt(4)\/sqrt(2) + 0 - sqrt(12)\/(sqrt(48)\/(sqrt(8)*2)))**2)*-6.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 10:07 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v**2 - 3. What is y(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254 = -15*i + 239 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1227*k - 19408. Give h(-15).\nAnswer: -1003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 5*9\/(-105)*-7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (3 - (-12 + 6) - 3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2. Let r(p) = 34476168*p. Determine r(n(m)).\nAnswer: -68952336*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 3678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/668 and 23\/1002.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 2 - 2)*(11*f + 21*f - 8*f) + (-3 - 2*f + 3)*(-31*f + 130 - 130) in the form t + k*f + h*f**2 and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 11*w - 16. Let d be u(-9). Suppose d*z - z = 22. Calculate the highest common divisor of 198 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**5 - h**3 - h**2 - 1. Let u(g) = 2*g**5 + 3*g**3 + 4*g**2 + 3. Let n(q) = 3*o(q) + u(q). Find the third derivative of n(x) wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + s = -86, 0*o + s = -2*o + 49. Calculate the highest common factor of 18 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 255397, 255372, 255323, 255244, 255129?\n\"Answer: -a**3 - 6*a**2 + 255404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 - 4*x**2 - 4*x - 2. List the prime factors of t(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2297177 and 9310682?\nAnswer: 1052107066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**3 - 110*r**2 + 480*r + 1440 = 0.\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 + 4)*(-37*i**2 - 65*i**2 + 31*i**2) to c*i**2 + a*i + r and give c.\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10229*a = 10223*a + 84 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-52)*195\/(-30)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*b - 27 = 0, -5*p + 5*b + 36 = -p. Let u be 3\/p + (-64)\/(-24). Suppose u*d - 138 = 39. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 1)*(-9*n**5 - n**5 - n**5) + (-6*n**3 - 7*n + 7*n)*(0*n**2 + 6*n**2 - 2*n**2).\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/12 - (186\/153 - 3)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1382 and 2431629?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.952 + 0.048. Which is the closest to 2\/7? (a) k (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 3*r**2 + 3*r + 3. Let h be w(-2). Let a(j) = j**3 + 6*j**2 - 7*j - 2. Let b be a(h). Is 11 a factor of ((-44)\/(-6))\/(b\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*a - 3*n, -2*a - 1 - 8 = -3*n. Solve j - 2 = 3*b - 14, -4*b = a*j - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 1170*n**3 + 10 + 23.\nAnswer: -1170*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -700491*y - 750331*y + 152757*y.\nAnswer: -1298065*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 10133.226 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4046 + 0?\nAnswer: -4046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/5)\/((-67)\/580 + (-175)\/5075).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5809 is divided by 50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -434*y + 32*y**2 + 2 + 20*y**3 - 434*y + 0 + 869*y to the form a*y**3 + m*y**2 + k + g*y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.42 times -6.878\nAnswer: -2.88876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0 - 5\/3*w**3 + 0*w**5 + 0*w**2 + 4*w + 0*w**4 - 1\/15*w**6. What is the second derivative of z(u) wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19991 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 307 - 303. Let s be (-33)\/5 - 4\/10. Let p = s - -19. What is the remainder when p is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/15479394 and -79\/737114.\nAnswer: 15479394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 5 = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*u + 34, -d - d = 5*u - 29. Suppose -23*x + d*x = -6. Let r(g) = 3*g + 18. Does 27 divide r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0*l + 4*l + 108*l**3 - 224*l**3 - 3*l + 113*l**3 - 64*l**2 in the form k*l**3 + x*l**2 + s*l + u and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 13\/2*w**2 + 0 - 24*w + 23\/6*w**3 - 1\/20*w**5 - 7\/4*w**4. What is z(-22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -196*w**4 + 2*w**3 + 51*w**2 + 198*w**4 - 49*w**2 - 15*w in the form k*w**3 + u*w**4 + s + a*w**2 + c*w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b - 2 = -40*b. Suppose 16 = b*z - 4*t, 3*t = -2*z + 2 - 7. Let v(q) = 2*q**2 - 3*q**z + 8*q**2. Let m(i) = i**2. What is m(v(j))?\nAnswer: 49*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -18 (c) 0.561 (d) 6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*o**3 - 599269*i**3*o - 2*i**3 - 262*i*o**2 + 210*o**3 - o wrt o.\nAnswer: 12*i**3*o - 524*i + 1260*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 102839, 205647, 308439, 411215, 513975?\n\"Answer: -8*t**2 + 102832*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-90)\/40)\/(102\/24 - 5). Solve 0 = q + j + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -57. Solve -u*y = -w + 7, -y - 4 = -3*w + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 4*q + h = 53, 3*q = h + 31. Suppose 4*m = -2*m + q. What is the lowest common multiple of -3*(20\/25)\/(m\/(-5)) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r**3 + r)*(-1 + 2*r**2 + 1) - 8*r**2 + 8*r**2 + 10*r**5 + (-r**4 + 19*r**3 - 19*r**3)*(-2 + r + 2).\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 334658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -28.10414 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3439)\/(-1805) + (-16)\/152. Let a(n) be the first derivative of -4*n - 3*n**4 + 6*n**2 - 5\/3*n**3 + 4 + v*n**5. Let a(i) = 0. What is i?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((9 - (-8 - (-2 - 4))) + 5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 363 - 360. Suppose -3*c - 4*x = -4186, -u*x - x = 20. What are the prime factors of c?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 32*n - 31. Let r(p) = 31*p - 27. Give 6*r(k) - 5*y(k).\nAnswer: 26*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 10 = -9*r + 5*t, r - 2*t = 0. Suppose -42*m + m = -574. Solve -17 = -3*h - 2*h - r*a, 5*h = -3*a + m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -57*h**5\/5 + 2*h**3\/3 + 2*h + 28. Find the third derivative of y(p) wrt p.\nAnswer: -1368*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + b - 186*b**3 - 4*b**2 + 194*b**3 as o*b**3 + c*b**2 + j + w*b and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -w + 4, -2*o + 0 = 2*w - 4. Let g(v) = 19*v**3 + 4*v**2 - 7*v + 2. Does 5 divide g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90804a (base 11) in base 9?\nAnswer: 2664861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/15 (b) 4 (c) -50 (d) 16 (e) 3 (f) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21816 is divided by 21787.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018432619 to 5 decimal places.\nAnswer: 0.01843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 26720590983.\nAnswer: 26720590983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.31474 kilometers to millimeters.\nAnswer: 91314740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -106*u - 147. List the prime factors of v(-23).\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s + 853045 - 852938 + 15*s + 12*s.\nAnswer: s + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -66.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-198)*(-8)\/(-10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -42*b**3 + 12*b**2 - 15*b - 86. Is y(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 14*s - 2 + 10*s - 27*s.\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42823 by 1.\nAnswer: -42823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2 - l - 9. What is v(-4)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.561521ml?\nAnswer: 0.001561521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*q + 130 + 94 = 0, -280 = -5*y + 5*q. Suppose -7*w + 0*w = -y. Suppose 6*b - w*b = -52. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 1138942?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxxuore. Give prob of sequence uo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77787*z**4\/5 - 933432*z**3\/5 - 855513*z**2\/5 + 132*z\/5 = 0. What is z?\nAnswer: -11, -1, 0, 4\/25929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33604864 to the power of 1\/2, to the nearest integer?\nAnswer: 5797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 4*r - 5. Solve 0 = r*g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*t + 7*t - 9*t)*(-30993 - 178*t + 30993) + 5*t**2 - 3*t**2 - 4*t**2 as m + v*t + i*t**2 and give i.\nAnswer: -3384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 34 + 4*g)*(-33*g + 199*g + 87*g) + (-g + 2*g + g)*(-5 + 2*g + 5).\nAnswer: 1016*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 113, -1\/3 in decreasing order.\nAnswer: 113, -1\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7730 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 79130 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 18743*b. Let t(k) = -3*k**2. What is t(x(w))?\nAnswer: -1053900147*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 88?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86155866019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3\/5, -1, 1473.\nAnswer: -1, -2\/5, 3\/5, 1473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1565*h**2*s**2*w + 6*h**2 - h*s*w + 260*h*w wrt s.\nAnswer: -3130*h**2*s*w - h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*4\/((-20)\/(-3)). Suppose -2 + o = i + 2*y, 5*i + y = 5. Is (-2 + 0 - -33)*i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -696921*m - 35 - 14 + m**2 + 696941*m to the form w + o*m**2 + q*m and give w.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 3*c**2 + c**2 + c**2 + 0*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -630 - 2*k**2 - 2*k**2 - 27*k + 630 in the form x*k + s*k**2 + o and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 3*f. Let u be x(4). Suppose 3*w + i + 4*i - 355 = 0, -i = -u*w + 458. What is the greatest common factor of w and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*f**2*p**3 + 2*f**2*p*q**3 - 14*f**2*q**2 + 22*f*p**3*q**3 - 3*p**3 - 2*p*q**3 wrt f?\nAnswer: 126*p**3 + 4*p*q**3 - 28*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 2*u - 1 + 3)*(-5*u - 18 - u**3 + 5*u) as w*u**4 + v*u**3 + l*u + x + n*u**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 10*y + 1 = -13*y, 2*f = 4*y + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*c**3 + 2*c**2 + 52*c - 18704 with respect to c.\nAnswer: 255*c**2 + 4*c + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 5*w**4\/4 - 5*w**3\/3 + 51*w**2 + w + 32. Is p(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0*u + 0 - 1\/30*u**5 + 2*u**2 + 1\/8*u**4 + 0*u**3. Let w(c) = -4*c**2 + 2*c**2 + 2*c + 0*c**2. Determine -2*r(n) + 3*w(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 26*c**2 + 339*c + 13. Calculate j(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12209232*f**2*z**3 + f**2*z - f*z**2 + 1232811*z**2 wrt z?\nAnswer: 73255392*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*y - 3*s - 3, y - 10 = 2*s. Let t be (-21768)\/(-9548) - y\/1. Let i = t - -2\/341. Which is the third biggest value? (a) 1 (b) i (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11292696 divided by 71928?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 26. Let c(x) be the second derivative of 11*x**4\/12 + 321*x + 2. Give o(c(v)).\nAnswer: 11*v**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5, -j = -z + 2*j + 21. Let u = -10 + z. Let v = u + 7. Sort v, -4, 4 in descending order.\nAnswer: 4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3548188 and 11\/10.\nAnswer: 17740940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4021c (base 15) to base 6\nAnswer: 4203413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 520565*g**3*x + 2120061*g**3 - 4*g**2*x wrt x?\nAnswer: 520565*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0310131 to four decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5508\/5 - -1102. Sort -0.1, 1.45, n in decreasing order.\nAnswer: 1.45, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19748506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 406 + -401. What is the second derivative of 2*s - 8 + 31 - 277*s**a + 280*s**5 - 7*s**3 wrt s?\nAnswer: 60*s**3 - 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, -0.5, 0.7, 0.1, 2\/9 in descending order.\nAnswer: 0.7, 2\/9, 0.1, -0.5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 14. Let h be f(4). Let n(o) = o**2 - 29*o + 128. Let s be n(24). Which is greater: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756081 a multiple of 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 474 and 11.\nAnswer: 5214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72701 greater than or equal to -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -3 (b) 100\/61 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g + 4. Let b be x(-5). Let l(p) = -p**3 - 11*p**2 + p + 15. What is the units digit of l(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-18)\/84*(-20)\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522 = 29*v + 58*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.979 and 3799.\nAnswer: 3802.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-14))\/((-5)\/35). Suppose -n*k + 2 = -18. Suppose -y + 18 = -d, k*y - d - 50 = -4*d. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13707 + 29196. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*x - 55 = 14, -24 = 2*i - x. List the prime factors of (82\/3)\/(i\/(-39)).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 = -9. Let d be (0 - -4)\/(-4) + k. Solve -d = -l - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5 = 2*f, -2*f + 4*u = -8 - 8. Solve -8 = 2*j, -16 = -f*a - j - 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2 + 16*q + 2 + 2*q**2 + 0 + 9. What are the prime factors of r(-13)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 4*r**2 + 4*r - 8. Let f be z(-6). Let x = 1064 + -1004. What is the highest common divisor of f and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1889 - -1893. Solve 13*x - 18*x + 3*f = -29, -o*f - 8 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 24 - 9 - 11, 90 = 2*a - w for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 24. Let z be r\/7 + (-27)\/(-189). Suppose -38 = -4*w - z*u, 2*w + u - 21 = 2*u. Calculate the remainder when 29 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -331*s - 991. Let u be p(-3). Solve -5*m = 3*f - 25, -5*m + 15 = -u*f + 3*f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 42*k**2 + 2810*k + 151. Give v(-78).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6 + z**2 + 6 - 9 - 2 + 7*z. Let v(x) = -x**2 + 8*x + 2. Let l be v(9). What is d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23067 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 44 = -6. Let z be (-26)\/(-7) - 4\/(-14). Suppose c*s - s - 88 = -z*g, -2*s = 0. Calculate the remainder when 85 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11153520.852 to the nearest one hundred thousand.\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 51 = 4*v, 0*x - 9*v + 51 = 2*x. Which is the second biggest value? (a) x (b) -1\/10 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/3 + 146*z**2\/3 - 21616*z\/3 - 14600 = 0. Calculate z.\nAnswer: -146, -2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 36. Let n(f) = f**3 + 16*f**2 + 81*f + 150. Let l be n(-9). Give t(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72144733327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 273 + -263. Which is the second biggest value? (a) k (b) -2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + sqrt(637)*2.\nAnswer: 7 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1313 and 482847872.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 9:16 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(320)*4 + (3*sqrt(320)*1)**2 + 2 + (-2*sqrt(45) + sqrt(20)\/(sqrt(16)\/sqrt(4)))**2.\nAnswer: -32*sqrt(5) + 3007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/7, 1\/4, 0.223 in decreasing order.\nAnswer: 9\/7, 1\/4, 0.223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 6*t**2 - 6*t - 6. Let p be w(-6). Let m(h) = -2*h**3 + 3*h**2 + 3*h + 3. Let d be m(-3). Calculate the greatest common factor of d and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98012 and 341758.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 1, -6.\nAnswer: -6, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14633288 divided by 6.\nAnswer: -7316644\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1518*t**3 + 2921. Let j(q) = 38*q**3 - 73. Let m(s) = -161*j(s) - 4*r(s). Differentiate m(i) wrt i.\nAnswer: -138*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 29. Let t be u(-15). Let p(h) be the second derivative of h**4\/6 + h**2\/2 + 2*h. Let k be p(1). Solve t + 8 = -k*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r. Let o be f(-5). Let v be 0 - (0 + 2) - o. Suppose -t = -4*k + 86, -k + 0*t + 28 = v*t. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -25. Let f be 2586\/740 + (-1)\/1. Let s = 1\/185 + f. What is the third biggest value in s, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0 + r + 5 - 17*r**3 - 4. Let j be k(-1). Suppose j*w = 22*w - 30. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1225 and 35858200.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 30. Suppose 23 = 3*p + o - 6*o, -p - 3*o - 11 = b. Find the first derivative of -p - 19*r**3 - 1599*r**2 + 1599*r**2 - 10 wrt r.\nAnswer: -57*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 6*f - 5. Let x = -51 + 46. Determine m(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367268268 a multiple of 1389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5515, 5694, 5865, 6028, 6183, 6330?\n\"Answer: -4*g**2 + 191*g + 5328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d28 - -17?\nAnswer: 9d41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 17 (c) 3\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*q + 87*q - 39 - 15. Determine o so that 6\/17*o**q - 8\/17 + 2\/17*o**3 + 0*o = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 7*n**2 + 8*n - 1. Is f(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*f - 6. Suppose k = -z + 12, -14 = f*z - 6. Suppose -s - 3*s = -k. Solve o = -s + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 2*b - r, 2*b - r + 138 = -4*r. Let o = b + 98. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/6 + 953*x + 176297\/6.\nAnswer: (x + 31)*(x + 5687)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 22*u**3 - 1133*u**2 + 559*u + 92. What is k(51)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 568905436*v*y**3 - 16110*y**3 - 3*y**2 - y + 13 wrt v.\nAnswer: 568905436*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f + 2272 + 542 = -250*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3036758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -55\/6*o**4 + 0*o**3 + 61*o + 1 - 4\/3*o**7 + 0*o**5 + 0*o**6 + 0*o**2. Find the third derivative of s(z) wrt z.\nAnswer: -3360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2\/55, 495, -2, -4 in descending order.\nAnswer: 495, 2\/9, 2\/55, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 - 172 = -14*o - 263*o. Let s = 8 - 5. Suppose -2*w + 10 = 0, -2*w = -2*f + 3*f - 10. Put s, o, -1, f in increasing order.\nAnswer: -1, f, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 21 + 71 = 0. Solve -2*d + h = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = -8*j + 37. Calculate the least common multiple of 58 and j.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.55 minus -0.021974?\nAnswer: -146.528026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*c - 8. Let f(z) = z**3 - 5*z**2 - 3*z - 12. Calculate the smallest common multiple of 8 and f(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 + 1. Let a be w(-1). Let c = 5 + a. Suppose 4 - 25 = -c*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 1\/3, 137?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + f = -4*f - 1, -5*p + 20 = 5*f. What is the lowest common multiple of p and ((9 - 2)*-1)\/(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + a = 4*u - 1774, -5*a = 5*u - 8830. Let j = u + 320. What is j rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4*o - 12, 3*o - o + 32 = 12*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*n**3 + 444313*n**2 + 51805768*n.\nAnswer: -36*n + 888626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -17 - (50\/(-5))\/2. Let t be (5\/10)\/((-2)\/q). What is the third derivative of 19*x**2 - 3*x**t + 28*x**2 - 55*x**2 - x**3 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.96 - -10. Let b = 0.04 - h. Which is bigger: 6 or b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22300 + 33?\nAnswer: 22333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 1. Let h(y) = -3 - 7 + 12. Calculate 2*g(a) + h(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-123)\/(-60) + -2 - 3\/(-15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12240 and 14400.\nAnswer: 244800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 85 = 2*z. Let x be 30\/50 - (-2)\/5. Let q be (z - x) + 2 + -3. Calculate the greatest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-4) - 3\/(-12). Solve -n = q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**5 - 4*u**4 - 2*u**3 + 4*u**2 + 3*u. Let r(c) = -c**5 - 3*c**4 - c**3 + 3*c**2 + 2*c. Let b(k) = -3*i(k) + 4*r(k). Factor b(p).\nAnswer: -p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -350.93 * 0.4\nAnswer: -140.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o - 86. Let h be x(12). Suppose -3*v = -s - 6*v + 205, -h = -5*v. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 843, 3624, 8263, 14766, 23139, 33388?\n\"Answer: x**3 + 923*x**2 + 5*x - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 q when four letters picked without replacement from kkkkakqkkkkkkkk?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 592*p - 2277 = -591*p, 0 = -3*s - p + 1363. What is the smallest common multiple of s and 546?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26415033?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5.98*5\nAnswer: -29.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -53210000 to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17278*u + 17273*u - 60 = 5*a, -5*a = u + 60 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3 - 10*j - 4*j**3 + 24*j**2 + 10*j = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 676216.6t to nanograms.\nAnswer: 676216600000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9237176 rounded to three dps?\nAnswer: -0.924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, 8, -16 in descending order.\nAnswer: 8, -16, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 2*l**2 + 10*l - 4. Suppose -60 = 6*w + 6. Is g(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1102246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1a9 (base 15) to base 11\nAnswer: -31a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 4, -2, 0.6, 8?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3*y**2 + 234*p**3*y + 68*p**2*y**2 - p*y**2 - 2*y wrt y?\nAnswer: 2*p**3 + 136*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 1. Let i = 6 + -6.9. Let r = i + y. Which is greater: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let j(n) = 5*n - 3. Let a(i) = -j(i) + 6*z(i). Let l(m) = -5*m + 1. Give -4*a(g) + 9*l(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {w: 5, x: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14245051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6864 = 31*l - 452*l - 107*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69791 is divided by 495?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -278, -320, -382, -464?\n\"Answer: -10*z**2 - 12*z - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Solve -3*b + 21 = w*g + 2*b, 4*b = -g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130.999937 + 131. What is y rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 2*w - 2. Suppose -8*q + 57 = -23. Suppose 0 = 5*c - 0*c - q. Give f(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/8*(-20)\/30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1003?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/98 + (-388)\/(-14) + 0. Let n(s) = -4*s - 10*s + 18*s + x*s. Let m(b) = 3*b**2. Calculate m(n(q)).\nAnswer: 3072*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 444 = -4*l. Let g = 436 - l. Round g to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1987158.\nAnswer: 1987158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a week?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1475 and 7.\nAnswer: 10325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 l when four letters picked without replacement from lwolowolollwwowwb?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -5, -4, 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + sqrt(475) - sqrt(95)\/sqrt(80))*6)**2.\nAnswer: -1710*sqrt(19) + 65331\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k. Let c(f) = 185813456*f + 5. What is c(v(m))?\nAnswer: 371626912*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/15 + 2*p**3\/15 - 2*p**2\/5 - 2*p\/3 - 4\/15.\nAnswer: 2*(p - 2)*(p + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 5*b**2 - 2*b - 5. Let t be j(-5). Let l(i) = -i**3 - 2*i**2 + 2*i - 4. Let x be l(-4). Let h = x - t. Solve -3*g + 8*g + h = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8525)\/(-8250) - (1 - 7)*-1 and 79\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d (base 14) to base 12.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/o)**(2\/125)*((o*(o**(-11)\/o*o)\/o)\/o)\/o*o*o\/(o*o**(-4)) assuming o is positive.\nAnswer: o**(-1002\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 1. Let d be r(-2). Let n = d + 3. Suppose -y + 3 = -n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7931412*g**5 + 13814180*g**2 wrt g.\nAnswer: 475884720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*x**2 - 8*x + 4*x**2 + 10*x to t*x**2 + n + m*x and give t.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -203*k**3\/3 + 938*k**2 - 18*k - 11. Differentiate w(u) with respect to u.\nAnswer: -406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 8. Let y = -8 + d. Let a be (1\/(-1) + 2)*1. Put y, a, -5 in decreasing order.\nAnswer: y, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n = 196. Let b = n + -32. What is the remainder when b*(-2 + (5 - 2)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 4*p - 32 = 0, v - 106*p + 104*p = 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1202216138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5. Find the third derivative of l**2 - l**3 + 2 - 2 + u*l**2 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.59 + 1.59. Which is the nearest to v? (a) 1 (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 0*k**2 + 2\/3*k**3 - 24 + 0*k - 1\/4*k**4. Find v such that d(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 44985?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -96594*l - 270. Let k be z(45). Round k to the nearest one hundred thousand.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 6 + -3 + 4. Let j(f) = 706*f - f**3 + h + 14 - 692*f + 7*f**2. What is the units digit of j(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/43650 and -7\/2235?\nAnswer: 6503850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 2*h, -2*d - 4*h - 9 = -31. Suppose 0 = d*q + 2*q - 325. What is the greatest common divisor of 26 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44369 is divided by 138.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/3, 2\/5, 89, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.7 + 7.2. Which is the fourth smallest value? (a) 1\/2 (b) -1 (c) 3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 + 170. Which is the second biggest value? (a) -0.7 (b) n (c) -4 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -0.09.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -308 - -128. Let v be (0 + -1)*m\/36. Solve -5 = 2*r + v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 33*u**2 - 8*u - 14. Let j(q) = -10*q**2 + 3*q + 5. Calculate -8*j(i) - 3*k(i).\nAnswer: -19*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - 2)*(0*q**2 - 4*q**2 + 2*q**2) + 4*q**2 - 4*q**2 + 4*q**2)*(0 + 7 - 3) as y + c*q**2 + n*q and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w**12)\/w)\/((w*w*w**(-1\/6))\/w))\/(w*w*w\/w**(2\/3)*w*w**(-5)) assuming w is positive.\nAnswer: w**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/8 and 157\/924.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4308*q**3*t**2 - 629*q**3*t + 2*q**3 + 196*t**2 + 1688*t wrt t.\nAnswer: -8616*q**3 + 392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/6 at least as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169 + -99. Let c = 246 - f. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 570493 and 2541.\nAnswer: 18826269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -161809, -323671, -485531, -647389?\n\"Answer: o**2 - 161865*o + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 20 = -5*b + 2 - 0, -12 = 4*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**3\/3 - f**2\/2 + 8*f. What is the derivative of l(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from xomoaiooqoqxioo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -64, -4, -51, 43, 3.\nAnswer: -64, -51, -4, -1, 0, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 4. Let z = a - 25. Is 2 a factor of 29\/3 - (8\/z + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000985916 rounded to six decimal places?\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*1\/12 + 133\/(-42). Suppose c + 10 = -0*c + 4*w, -4*w + 12 = 0. Sort 0.4, c, b in decreasing order.\nAnswer: c, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3735895*z**3 + 91*z**2 + 27926*z wrt z.\nAnswer: 22415370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = t + a, -58 = -5*t + 5*a + 47. Let h = 1274 - 1164. What is the remainder when h is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 + 13*f - 14*f**2 + 12*f**2 as t + q*f**2 + g*f and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44814137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*o + 6 = 0, 2*s + s + 6 = 5*o. Let a = s + 11. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -15*m**2 - 20*m + 18. Determine x(5).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-2 + -2 + 6). Differentiate 5 + 3 - f - 6*w with respect to w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121157 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1074)\/14 + 1\/(-2)*-4. Let a = z - -3593\/42. Find the common denominator of a and -73\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let k(c) = -c. Let b(l) = 130*l. Let p(q) = 2*b(q) + 234*k(q). Let i(o) = 9*o. Let j(v) = -7*i(v) + 2*p(v). Calculate r(j(y)).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648790 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841941000.\nAnswer: 2, 3, 5, 31183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21095, -84295, -189621, -337067, -526627, -758295, -1032065?\n\"Answer: w**3 - 21069*w**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1095\/9)\/((14 + 1368\/(-95))\/(144\/300))?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 6364?\nAnswer: 31820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 2 - 10 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 279216 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(2*sqrt(1700)*-1 - -2*sqrt(1700)*6 - (4*(1*sqrt(1700))**2 + (sqrt(1700) + 2*sqrt(1700)*-2)**2)).\nAnswer: -100*sqrt(17) + 22099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**3 + 5*y + 9. Suppose -6 - 14 = -4*n. Let j(h) = h**3 + h + 1. Let c(k) = n*j(k) - i(k). Differentiate c(l) with respect to l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -39. Solve 3*f = 3*k - g*k - 15, 0 = -k - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 7*f + 4. Let v(m) = m**3 - 18*m**2 + 19*m - 31. Let p be v(17). Suppose 3*k - 2*c = 28, 4*c = p*k - 2*k - 26. What is n(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 12 - 16. Let v be (r + 5)*(-2 - 2). Put -1, -0.5, v, 0 in descending order.\nAnswer: 0, -0.5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m - m)*(2*m - 2*m + m) + 2*m**2 + 3*m**2 - 3*m**2 - m**2 - m**2 + m**2 + 3 + 9*m**2 - 3.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (1 - 25\/(-5)). Suppose -2*x + 405 = 3*i - k*x, -4*i + 544 = -3*x. What are the prime factors of i?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1828?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -613*s**5\/20 - 55*s**4\/6 + 7*s**2\/2 + 923*s. What is the third derivative of f(l) wrt l?\nAnswer: -3678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2303\/2 - -1116. Find the common denominator of d and (1 + 170\/12)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35.43 and -4777510.\nAnswer: -4777545.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/34319 or -34?\nAnswer: -3\/34319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -214 + 267.2. Let w = 54 - h. Let f = -9 + 7. Sort w, -2\/3, f, 1 in increasing order.\nAnswer: f, -2\/3, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4 + 21*k**2 + k**3 - 25*k**2 - 2. Let o be s(5). Suppose -x = -o + 5. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = 3*x. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.014 - 0.986. Let i = -259 - -4919\/19. What is the nearest to j in -1\/2, i, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 43 - 10)*(-2*k**2 - 2*k**2 + k**2) + (3 + 0 - 2)*(2 + 8 - 4)*(-2 + 2*k**2 + 2) to the form i + h*k**2 + z*k and give h.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45973, 1, 5 in ascending order.\nAnswer: 1, 5, 45973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -80. Sort 5, -1, k in increasing order.\nAnswer: -1, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/((-6)\/675). Let h be (0 + 0 - -5) + -1. Suppose 3*a + 2*f - 134 = 0, 4*a = -h*f + c + 101. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-12))\/(2\/(-3)))\/(11 + (-1050)\/240).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 111\/191 in ascending order.\nAnswer: -4, 111\/191, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 459?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8759.\nAnswer: 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2492942 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + i - 1 = -5, i = 2. Suppose u + k = 2*u. Solve -3*j = -4*y + 18, 2*y + 2 = 4*y + u*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25711*u**3 - 6*u - 34 + 25710*u**3 - 13*u**4 + 36)*(-19 + 87 + 26) to h*u**3 + k*u**4 + w*u**2 + o*u + n and give o.\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqazlzflqllqfzflqaqz. What is prob of picking 1 q and 1 f?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35107 is divided by 3239?\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 26879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {h: 2, i: 1, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)\/o*o\/(o**(-9)\/o))\/((o\/(o\/o**(-1\/11)))\/(o*o*o*o**7\/o))*((o*o*o\/(o**(-2\/13)*o)*o*o)**(9\/7))**(-36) assuming o is positive.\nAnswer: o**(-865729\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/69 and -45\/523490189.\nAnswer: 1570470567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 4 (c) 19 (d) -3\/5 (e) 5 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9060.324 months to centuries.\nAnswer: 7.55027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526696 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -41. Suppose 7 = -c - 2*g, 3*c + 11 = -n*c - 4*g. Factor 61*w**2 - 58*w**2 + w**3 - w - c*w**3.\nAnswer: -w*(w - 1)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-3)\/9 + -93. Let b = n - -85. Let j(g) = 5015*g + 5. Let w be j(b). What is w rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (35*11\/(-275) - 3\/5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by 4?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56\/65 - 6\/13. Suppose -2*w + j = -1, -2*w + 4*j + 5 = 1. Suppose 0 = 273*z - 120 + 1212. Which is the nearest to -0.2? (a) w (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -663*i**4*s - 36*i**4 + 126086*i**2*s wrt i.\nAnswer: -15912*i*s - 864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5 - 17 = -5*b, -3*w - 3 = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 748390 = 5*p. Let a = 2660291\/18 - p. Let v = -1885 - a. What is the common denominator of 101\/12 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -6. Let q(p) = -20*p - 2. Let v be q(f). What is the highest common divisor of 52 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 r when three letters picked without replacement from vvvrr.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -10 - ((-45 - -10) + 8) - (-2 - -3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, 9 in decreasing order.\nAnswer: 15, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*b**3 + 9*b**3 - 5*b**4 - 2*b**2 + 4*b**2 + 3*b**2 + 5*b**5.\nAnswer: 5*b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**4\/3 - 64*i**3\/3 + 8*i**2 + 2464*i\/3 - 2420\/3 = 0. What is i?\nAnswer: -11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**5\/3 - 347*i**4\/3 + 6134*i**3 - 253964*i**2\/3 + 1059688*i\/3 + 155232 = 0?\nAnswer: -108, -2\/5, 11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.5 - -38. Let k = 0.5 + u. Let p = -5 - -4.6. Which is the nearest to -0.1? (a) p (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 90322191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + 107)*1\/(-5)*-4. Let w = 125 - r. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67000 or -67007?\nAnswer: -67007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*k - 11 = k, -5*k = 4*f + 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 1:19 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 9:40 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5978\/21 + 1\/3. Suppose -367 = -4*n + 3*v, -13*n + 16*n = -v + p. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**4\/6 - 63*o**2. Let v(d) = 12*d**2. Calculate j(v(z)).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.32 - -2.32. Which is bigger: w or -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 29384.\nAnswer: 29384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 0 - (1 - -2). Let r(x) = x**3 + 7*x**2 + 3*x - 3. Is r(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1912769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o**2 + 4*o**2 + 0*o**2)*(2*o**2 + 0*o**2 - 5*o**2) - o + 2*o**4 + 2*o**4 - o**4)*(-2*o + 2*o + 9*o + (-1 - 2 + 2)*(2*o - o + 0*o)).\nAnswer: -96*o**5 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3181 + -25867?\nAnswer: -29048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(165)\/(sqrt(6)\/sqrt(2))*-2)\/(sqrt(88)\/((sqrt(8) + (2*sqrt(8) - sqrt(8)))*2)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 12*y + 118. Let r be w(5). Let n be (((-12)\/9 + 0)*6)\/1. Put -3, r, n in decreasing order.\nAnswer: r, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 2:08 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.61 rounded to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*k - 0*k. Let u(w) = 6 - w - k. List the prime factors of u(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7524, -4, 52.\nAnswer: -7524, -4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842 = -3*m - q + 828, 0 = -3*m + 2*q + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**3*u**2 + 26*b**3 + 293*b*u**2 - 1 wrt u?\nAnswer: 4*b**3*u + 586*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 92*h + 290. Calculate r(-27).\nAnswer: -1465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85950, 171963, 257976, 343989, 430002?\nAnswer: 516015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 149698692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-14)*4935\/282. Let w(u) = 12*u + 8. Let n(p) = -13*p - 8. Let d(r) = 4*n(r) + 5*w(r). What is the tens digit of d(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2084\/163 or 12?\nAnswer: 2084\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 + 75*d**2 + 13*d + 5. Let z(p) = -2*p**3 - 36*p**2 - 6*p - 2. Give -2*b(j) - 5*z(j).\nAnswer: 4*j**3 + 30*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1482826 + -3?\nAnswer: -1482830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216128 and 81048.\nAnswer: 648384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o**3 + 4*o**2 - 11*o + 8. Let j(x) = -4*x**3 + x**2 - 4*x + 3. Let f(m) = 8*j(m) - 3*k(m). Calculate f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 748214 = 5*g. Suppose g = -4*b + 268214. Round b to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*c - 10, -3*c + 3*p = 4*p + 15. Let f be (c\/15)\/((-1)\/(-21)). Is (-3)\/7 + (-360)\/f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 11 = -3*y. Does 7 divide (-1 - 6)\/((-2)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 10 + f - 4 + 5. Let a be n(7). Let u = a + 5. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/200197 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*d + 26, -4*d - 24 = -8. Let u = 50 + o. Solve 5*c = 5*v + 30, c + c = -5*v - u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {a: 3, g: 4, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21c31b (base 14) to base 10\nAnswer: 1147605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 760*g + 763*g + 0)*(-3 - 2 + 0 + 2*g)*(g - 3*g**2 - g).\nAnswer: -18*g**4 + 21*g**3 + 60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 216021.6 millilitres in litres?\nAnswer: 216.0216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 534. Let g(c) = 2*c - 541. Give 7*g(o) + 6*l(o).\nAnswer: 2*o - 583","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 42098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(15\/((-30)\/(-4)))\/(-40)*2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -829*i**3*q + 2*i**3*s - i**2*s**3 + i*q*s**3 - 14*i*s**2 - 18*q*s**3 + q*s**2 - 1 wrt i?\nAnswer: -4974*i*q + 12*i*s - 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 806 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q**2 + 7*q + 10. Let p be ((1 + 4)*(0 + -1))\/1. Let r be c(p). Factor -147*k - 162*k + r*k + 7*k**2 + 2.\nAnswer: (k - 1)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4. Let o be ((-5)\/2 - -3)*s. Suppose o*i - 24 = -0*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296513749?\nAnswer: 7, 6051301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65, -283, -653, -1169, -1825, -2615, -3533?\n\"Answer: f**3 - 82*f**2 + 21*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7798.5ml to litres.\nAnswer: 7.7985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1641 is divided by 83.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215 + 228. Solve 0 = w*x - 28 - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*1\/1*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 45323162236?\nAnswer: -45323162236.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -415*b + 126. List the prime factors of s(-8).\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1848 and 792?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-6))\/((-5)\/((-60)\/(-8))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*j**2 - 8*h**2*j + 10*h**2 - 3*h*j**2 + 164*j**4 - 12*j**2 + 8*j - 104 wrt j?\nAnswer: 2*h**2 - 6*h + 1968*j**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-117)\/(-8))\/3 + 13\/104.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 32*m**2 + 54*m - 182. Calculate v(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 222575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let t(m) = -2*m. Let f be 6\/(-2 - -8) - -3. Let p(k) = f*y(k) - 3*t(k). Let q(x) = -49*x**2. Calculate p(q(i)).\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -11.982. Let p = -0.658 - -0.766. Let u = g + p. Which is the second smallest value? (a) u (b) 0 (c) 4\/9 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 215972 + -462180047\/2140. Calculate the common denominator of u and -119\/80.\nAnswer: 8560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195573 and 10.\nAnswer: 1955730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/21)\/((-3)\/(-231)). Solve 2*m = -3 + q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28556 and 88264?\nAnswer: 970904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70475 is divided by 23489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 3*d. Let s be g(-4). Let x(m) = -13*m**3 - 13*m**2 + 9. Let a(z) = 6*z**3 + 6*z**2 - 4. What is s*x(o) - 9*a(o)?\nAnswer: -2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 764355676 equal to 764355675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/11, 0, -0.00696423 in descending order.\nAnswer: 0, -0.00696423, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*sqrt(3168) - sqrt(3168))\/sqrt(11) + 5)**2.\nAnswer: 336*sqrt(2) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -169\nAnswer: 33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 10:11 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3763 + 3775. Solve l - 9 - d = 5*b, -6 = b - 2*l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 b when three letters picked without replacement from {t: 3, b: 3, p: 13}?\nAnswer: 39\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i + 3 - i**2 + 2*i + 1 + 3*i. Calculate the remainder when d(0) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-42)\/(-56))\/((-3)\/111))\/((-24)\/(-32))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 316727233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1049 - 1511. Let r = w - -524.8. Round r to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -55. Factor 8\/15 + 2\/15*s**i - 8\/15*s.\nAnswer: 2*(s - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*(-24)\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*b + 6, -5 = -2*r + 2*b - 1. Sort 5, -1, r in descending order.\nAnswer: 5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 65.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/115 - -474\/805. Let k = 125 + -72. Let h = 52.9 - k. What is the second biggest value in 2, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 450*k - 53. Is z(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 10076720.\nAnswer: 110843920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.85 and 98186?\nAnswer: -1359876.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, z: 9}. What is prob of sequence zbzz?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 47. Suppose z - h*w = -4*z + 476, 0 = 5*z + w - 468. Calculate the remainder when z is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1670*n + 1 - 3 + 1 + 1 - 1695*n.\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (6 + 1 - (49 + -48))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/(h\/(h**0\/h*h)))\/h*h**(-2\/7))\/((h*h*h*h\/(h\/(h*h**(2\/3))))\/h)**(1\/28))\/(h*h**(1\/3)*(h**(-4\/5)*h)\/h*(h**(2\/7))**(-1\/14)) assuming h is positive.\nAnswer: h**(-911\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 11 + 7)*(4*b - 2*b - 3*b).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -38*q - 102. Give u(-12).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - s - 20. Determine c(-8).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*w + 45*w + 8 - 21 to n + k*w and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 171134.7 milligrams in tonnes?\nAnswer: 0.0001711347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 87 = 97. Let z = i - 43. What is the third derivative of -4*f**2 - 2 + 2 + z*f**5 - 50*f**5 wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1659757735 divided by -5\nAnswer: 331951547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10 + 10 = 0. Let r(d) = 7*d + 4. Let n(b) = -6*b - 4. Let g(i) = -6*n(i) - 5*r(i). What is the units digit of g(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (-9 + 26)) + (-3 - -21 - -2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97241.\nAnswer: 97241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96\/29 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 210. Suppose -3*t = t - 2*c - x, -5*t + 4*c + 83 = 0. Let y = t - 10. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 19*t + 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - t**2 - 1. Suppose 3105 = a + 3106. Let m(l) = 3*l**4 - 19*l**3 - 64*l**2 - 99*l - 37. Let n(v) = a*m(v) - 5*j(v). Factor n(s).\nAnswer: -3*(s - 7)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560387 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -37 (c) -15.043 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**15\/(s\/(s**(-22)*s)))**14)**(44\/7) assuming s is positive.\nAnswer: s**(-616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1810 - -2917. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90000 = 6*w - 4*w. What is w rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -20*c + 24 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ba088 (base 13) in base 16?\nAnswer: 2cca08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 3. Suppose -x - 5 = -3*q, 3 - h = -3*q - 4*x. Suppose -3*l + 4*s = -7559, -5*l - 10086 = -9*l - q*s. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from ksxxsissxkxxkkxxr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 3. Let o = -7 + 6. Let f(a) = 1. Let b(d) = o*n(d) - 6*f(d). What is the first derivative of b(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-6))\/(4\/(-6)). Suppose i*o - 3 = 13. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - b - 4 + 4*b - 2 - 12*b. Let c be (-84)\/4410*21 + -18*(-2)\/(-10). Determine d(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1146271 and 5?\nAnswer: 5731355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7513897 divided by 6?\nAnswer: 7513897\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -17*k + 1. Give b(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t**4\/7 - 130706*t**3\/7 - 7563688*t**2\/7 - 8421688*t\/7 - 141248 = 0. Calculate t.\nAnswer: -56, -1, -2\/15, 4414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) - 39\/(-104). Sort u, 2, 1 in descending order.\nAnswer: 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209) - 1*3*sqrt(209)))\/(2*sqrt(11)*1) + 1.\nAnswer: -sqrt(19)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*x - 14 = 2*w - 921*x, 0 = -4*w + x - 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*800\/75*(-6)\/(-20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 3. Sort 5, 1, u in ascending order.\nAnswer: u, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 x when four letters picked without replacement from xxxtxxxxxxxxxxxxxxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*c - 182 = 21*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 153945.5 weeks?\nAnswer: 25862844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 550 + 552 - 4313*i + 547 + 550 - 2201 to the form p + x*i and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-7*(-4)\/14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 641152 (base 11) to base 12\nAnswer: 415b77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 510 and 52624185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 d when four letters picked without replacement from rhrrdrdd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l - 232. Let y = -44 - l. Suppose 3*c - n = -2*c + 100, -3*c + 3*n + y = 0. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 4995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1569 = 7*u - 3128. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/24*4)\/(3\/78). Let c(v) = v**3 - 19*v**2 + 4*v + 27. Let w be c(f). What is w rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 248.684 + -173.63. Let o = -75 + w. Let y = o + 2.946. Which is the smallest value? (a) -2\/3 (b) y (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 6*d. Let m(c) = -c**3 - c**2 + c - 5. Calculate m(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 818929 and 145495?\nAnswer: 28662515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3214 or 3212?\nAnswer: 3214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-56))\/((-35)\/140)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23301 - 4261 = 1360*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3. Let s(t) = t**2 + t - 3. What is the lowest common multiple of 42\/2*z\/3 and s(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*s**3 + 24*s**3 - 30*s**3)*(70 - 70 + 151*s).\nAnswer: 8607*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/5 - 3295774*w\/5 + 1318308 = 0?\nAnswer: 2, 1647885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305564.\nAnswer: 2, 7, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. Let q(v) = v**2 + 7*v + 8. Let k be q(-6). Suppose k*l - o*x - 64 = -5*x, 0 = -x + 2. What is the highest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144390 rounded to the nearest 1000?\nAnswer: -144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34277 and 908?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*c**3 - 1\/4*c + 0 - 1\/4*c**5 + 0*c**4 + 0*c**2.\nAnswer: -c*(c - 1)**2*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -2*i**5\/5 - 628*i**2. Let r(g) = g**2. What is 3*r(a) + t(a)?\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*y + 5827 + 1523. Is 35 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 + 177 - 168 + 16*u + 2*u**3 in the form t + m*u + i*u**3 + d*u**2 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25693 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 96 = -t - 0*d, 5*d - 192 = -2*t. Let s be (30\/105 - 0)\/((-1)\/(-42)). Calculate the greatest common factor of s and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -55 (b) 2 (c) 1 (d) 1\/4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51195, -51698, -52201?\n\"Answer: -503*h - 50692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 56*r**2 - 139*r + 757. Calculate q(-53).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 21 = 2*y. Let b(d) = 9*d**2 + 7*d - 9. Let s(j) = 4*j**2 + 3*j - 4. Let l(w) = -3*b(w) + 7*s(w). Does 15 divide l(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 4, t: 6, a: 3, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1064416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 1735 - 2339. Let g(i) = -3*i + 7. What is the lowest common multiple of k and g(1)?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jooo when four letters picked without replacement from {j: 1, d: 5, e: 1, n: 3, o: 10}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10*z = 7*z. Solve z*c - c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17258 is divided by 137?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(7) + -1)*2 + sqrt(7) + -3 + 5 + sqrt(42)\/sqrt(24))**2.\nAnswer: 190*sqrt(7) + 2927\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/464520 and 127\/774200?\nAnswer: 2322600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 5. Let w(g) = -g**2 + 12*g + 28. Let t be w(15). What is b(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r**2. Let a(o) = -3*o**2 + 8*o**2 + 4 - 7*o**2. Let z(m) = m**2 - 3. Let u(g) = -3*a(g) - 4*z(g). Calculate u(k(h)).\nAnswer: 72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*v - 122*v - 925 + 5797 = 161*v for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -27 (b) -3 (c) -10\/3 (d) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -789 + 789. Suppose y = -z - 3, 3*i + 97*z - 102*z = 186. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*f - 2 = 7, -18 = -4*m + 2*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0. Suppose 51 = 43*p - 26*p. Let a(b) = 28*b**3 + 3*b**2 - 2*b + p*b**2 - 27*b**3 - 5*b**2 + b. Give a(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z = -5*z + 26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllllllflffl?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 22, 49, 88, 139, 202?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90459 and 7011.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, 1, 5\/102, -5, 9\/2, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -16. Let t = 52 + d. Let s = -36 + t. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -18*i**2 - 8*i - 43. Let d(f) = -8*f**2 - 4*f - 22. Calculate -7*d(v) + 3*q(v).\nAnswer: 2*v**2 + 4*v + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, y: 2, d: 1, n: 1, c: 1, e: 3}. Give prob of picking 1 c, 1 d, and 2 y.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*h + 56 + 131 + 29 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 5*b**2 + 2. Let x(l) = -4*l - 16. Let j be x(-4). Suppose d - 2*d + 6 = j. Let r be (-420)\/75 + d\/10. What is q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/21*(-24)\/(-8)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 6*z + 9*z - 16, -z = k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o - 9. Let a be 166\/(-18) - (-2)\/9. Let b(w) = -3*w + 4. Let y(r) = a*b(r) - 4*m(r). Let q(p) = 2*p. Determine q(y(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172 + -87. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 35. Which is smaller: n or 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*a + 4*a - 6*a)*(-2 + 2 + 2*a) - 9 + 6*a**2 + 9)*(2*a - 5*a + 4*a) to the form u*a**3 + h + l*a + w*a**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 3*b + 4. Let n = 11 + -5. Let l = 13 - n. What is the remainder when x(-3) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:04 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282 - 700*g**3 + 282 - 1377*g**3 - 60*g**3.\nAnswer: -2137*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:52 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 25*l**2 + 44*l - 503. Calculate f(24).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -acc9 - -2?\nAnswer: -acc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 37 = -2*z, -5*z + 69 = 2*p + 71 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/7, -1, -18, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**6\/75 - f**5\/25 + 43*f**4\/30 - 8*f**3\/3 - 9*f - 9. Factor t(r).\nAnswer: -2*r*(r - 5)*(r - 1)*(r + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6526 and 1274?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p + 4. Let l(y) = -4*y + 3. Let o(c) = -3*j(c) + 4*l(c). Let x(t) = 33*t. Give x(o(d)).\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -193 - 3*u**3 + 188 - 5*u**2 - 5*u**3. Let k(f) = 49*f**3 + 20*f**2 - 16*f**3 - 7*f**2 + 21 + 8*f**2. Calculate -21*g(l) - 5*k(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7 - 26 + 10*z**3 - 11*z**3 - 33*z + 49*z**3. Let u(r) = -3*r**3 + 2*r + 2. Give 2*i(a) + 33*u(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 6*p. Solve p = -4*j + 3*d - 29, 2*j + 2*d - 5 = -3*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*f + 9*f - 328 - 334*f + 328.\nAnswer: -405*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -5 (b) 0.01 (c) 1 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 9464?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1458 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -977 less than or equal to -350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.81 (b) 495 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -19\/150*q**5 - 2*q**2 + 0 + 10*q + q**3 - 1\/120*q**6 - 59\/120*q**4. What is s in l(s) = 0?\nAnswer: -5, -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/(-6) - 2\/3. Let i = p - 77\/9. Calculate the common denominator of i and 68\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(sqrt(3)*1 + 0).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:33 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 4*h**2 + h**2 + 4*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9\/20 + 1\/5. Let m = -1.2 - -0.9. Which is the nearest to -0.1? (a) i (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 4*s**2 - 5*s + 4. Let i be m(-4). Let j = i + 107. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -15166*d - 30. Suppose -2*f + 50 - 60 = 0. Let s be 2*(f\/20)\/((-1)\/(-10)). Let z be i(s). Round z to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 15, 2.1, 0.1, -3\/5, -2\/9, -0.1, 204?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(500) + (sqrt(500)*-1*5)**2 + sqrt(500)) - -5*-2*sqrt(135)\/sqrt(3).\nAnswer: -37500 - 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, and 1 y when three letters picked without replacement from {f: 2, y: 3, g: 3, x: 2, a: 1, r: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1426801, -1426820, -1426865, -1426948, -1427081?\nAnswer: -1427276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8206513247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 64818 divided by 4977\nAnswer: 7202\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 326*z**2 + 18*z - 70. Let j(w) = 3*w. Let x(f) = -6*j(f) + u(f). What is the derivative of x(m) wrt m?\nAnswer: 652*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -55*w**3 - 5*w**2 - 3*w + 5. Let u be q(1). Calculate the common denominator of (144\/(-25) - -1) + (-55 - u) and -4\/215.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h*h\/h**3))\/h)*h)\/(((h\/h**6)\/h)\/h*h)*h**(-1\/4)\/h**(-6))**(-27\/5) assuming h is positive.\nAnswer: h**(-1377\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 259635042 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 43 + 329)*(1 - 4 + 1)*(0*z + 5*z - 2*z)*(-4 + 3 - 1).\nAnswer: 3996*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 3. Calculate r(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 1. Let l = -23.5 - -23. Let w = n - l. Which is the smallest value? (a) 2\/5 (b) w (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 3 - 3)*((0*q - 3*q + 5*q)*(2 - 2 - q**2) + 21 - 21 - 18*q**3).\nAnswer: 40*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5.4. Suppose u + 3*u = 128. Let s = 28 - u. Put s, o, 0.3 in increasing order.\nAnswer: s, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 8) + (18 - 15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*sqrt(2) + sqrt(2))**2 + ((sqrt(2) - sqrt(12)\/sqrt(6)) + sqrt(2) + sqrt(2))**2*-2.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 9*s - 346. Let p be g(24). Solve 2 = -8*i - p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/21*20\/(-5). Sort -2\/7, -3\/4, u, 4\/5 in descending order.\nAnswer: 4\/5, -2\/7, -3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33220121 (base 4) to base 15.\nAnswer: -13e85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 6*j - 3. Let f = -44 - -46. Let c be -18*(5\/(-30))\/(f\/4). Give h(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 10:32 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 plus 0.28?\nAnswer: 2.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 7. Suppose -39 = -7*t - 144. What is the tens digit of q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -249*i**2 - 97846*i + 4317. What is z(-393)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.742 + -2.7. Let m = -0.369 + -0.073. Let z = m + k. What is the third biggest value in -5\/2, -0.1, z?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32828120?\nAnswer: 2, 5, 13, 63131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -65.4 and 5081.\nAnswer: 5015.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 5*y**2 - y - 4. Let w be a(-2). Calculate the greatest common factor of w and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 4*n - 2*n**4 + (0 + 1 + 0)*(-2*n**4 - 68*n**4 - 80*n**4).\nAnswer: -152*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -23*p + 55. Let q be f(34). Let w = -719 - q. What is the greatest common factor of w and 368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10318*g**3*h - 7*g**2*h - 15003*g - 33*h wrt g?\nAnswer: -61908*g*h - 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 10*r**2 + 10*r + 2. Give s(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3344955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4 - 4 + 0 + 1 - d. Let k be x(-7). Suppose -2 - 1 = -v + 4*j, -v = j - k. Solve -2*i + v*i + 25 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3535*v - 8730 - 1875 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/21)\/((-8)\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303376 divided by 325844?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8 = -85. Find the common denominator of (34\/(-8) + 4)*i and 41\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) -3 (c) 0 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1233242 (base 10) to base 11.\nAnswer: 77260a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3711*z = -3698*z + 26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f - f**2 + 0*f**2 + f**3 - f - 2*f**3 + 27. Does 18 divide v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -688 - -336. Let h be c\/(-33)*18\/8. Calculate the highest common factor of h and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (9 - (-2 + 26))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/520*-16 + 4\/(-520)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3249\/(-228))\/(-19))\/(2\/64).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -28. Let t = k + 4. What is the second derivative of 4*g - t*g**2 + 6*g**2 + 6*g**2 wrt g?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*b**5 - 31270*b**3 - 1844198*b**2 wrt b?\nAnswer: 5100*b**2 - 187620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*h**3 - 4*h**2 + 206*h + 1.\nAnswer: -342*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 + 0*n**4 + n**4 + (6*n**2 - n**2 - n**2)*(-n**2 - n**2 + 0*n**2).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -33 * -495\nAnswer: 16335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18195 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w + 2*w + 98 + 327 - 230. What are the prime factors of q(0)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7826*k - 7773*k = 318 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.025 - -3.975. What is the second smallest value in j, -2, 25?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 - 45. Let i = m - 61. Let f be 4\/i - 203\/(-63). Solve -f = -7*s + 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 873575 and 8585.\nAnswer: 1499928275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-8\/3)\/s*(s*s*s**(-5)*s*s)\/s*s**3\/((s*s\/s**7)\/s*s))**(1\/21) assuming s is positive.\nAnswer: s**(10\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -12 - 8. Solve 5 = g + c, -5*m + 2*g = -19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2833 to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h - 77. Calculate u(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g - 68. Let q = 114 - 90. Let i be m(q). Let f(v) be the first derivative of v**2\/2 - 5. Calculate f(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -49.494617?\nAnswer: 148.483851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104722749?\nAnswer: 3, 23, 505907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246857 - 23916.\nAnswer: -270773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3315, 12307, 26977, 47325?\nAnswer: 73351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 0 - 90. Let s = z - -53. Calculate the remainder when 7 - ((-4)\/(-8)*-8 - -3) - -164 is divided by s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.18 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(sqrt(204)\/((sqrt(48)*2)\/sqrt(4)) + -1*(sqrt(17) + sqrt(17)*-3)*5))**2 + 2.\nAnswer: 67471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 1793.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ara when three letters picked without replacement from aarnbarbbba.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3299 is divided by 74.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-8) + (-13)\/(-2). Suppose -2*a = q*g - g - 21, -5*g + 8 = a. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79249209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w = -1058 + 893. Solve 13*p - w*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 18*y**2 - 28*y - 28. Let w = -70 + 51. What is the hundreds digit of f(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6219272921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-38))\/((-21)\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357203763.\nAnswer: 3, 7, 629989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1237 - 1240. What is the nearest to l in 3\/5, -2\/13, 0.4, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45133, 44924, 44715, 44506, 44297?\n\"Answer: -209*v + 45342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20962 or -20939?\nAnswer: -20962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2342044133 + 0?\nAnswer: -2342044133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + o**2 - o + 11. Let f be s(0). Let v(z) = 21*z**2 - 11*z + 26. Let c(t) = 8*t - 2 - 3 - 4*t**2 + 6*t - 12*t. Calculate f*c(m) + 2*v(m).\nAnswer: -2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 61756 and 909315.\nAnswer: 971071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 787195 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 185, 449, 831?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 101*j - 4. Is z(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*l**2*z + 496*b*l**2 + 82653*b*z + 22*l**2*z wrt l?\nAnswer: 4*b*l*z + 992*b*l + 44*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72315 + 72315. Let j be (-10)\/14 - (-2)\/7. Which is the closest to m? (a) 1 (b) -2 (c) j (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (20 - -2 - (-288 + 268))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.9648 times 23.3?\nAnswer: 395.27984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23 - (20 - 18)\/(2\/(-6)). What is the highest common factor of p and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 30*n + 8*x - 4*x, 68*n - 65*n + 4*x + 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3585*c - 1915*c - 1798*c.\nAnswer: -128*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1930 or 1963?\nAnswer: 1963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(112)*1)**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40845667?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - 3. Let f be 15\/(-20) + p\/(-4). Suppose 0 = 3*h + 2 + 4, -2*u = f*h - 4. Solve 0 = v + m - 4, 13 = 3*v + u*m - m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (36 + -41).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*(-4)\/(-3))\/2. Let z = -0.6 + -3.4. Which is the closest to 0.2? (a) z (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1260, -2525, -3790?\nAnswer: -5055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - -3.97. Let l = -4 - -6. Let d = l - q. Which is the closest to 0? (a) -1\/4 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 4 + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c4 (base 14) to base 8.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**2 - 6*x**2 + 20*x**2 + (-x - x + 0*x)*(3*x + 4*x - 2*x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 296688, 296746, 296804, 296862, 296920, 296978?\nAnswer: 297036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -4) + (1 - 1). Is 7 + (l*-3 - -2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 21.416?\nAnswer: 85.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57044 is divided by 106.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z - 73. Let j(a) = 5*a + 75. Determine -5*j(n) - 6*m(n).\nAnswer: -n + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(153)*-2 + 5 - sqrt(153)) + 0)**2.\nAnswer: -162*sqrt(17) + 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14512.846 + 14528. Let t = 15 - f. Round t to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140125 (base 6) to base 16\nAnswer: -32d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*n = 33, 4*o - 32 = 4*n - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -6 + 4 + 60 - (-48 + 40)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7929063 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/157250 and -58\/24225.\nAnswer: 8963250","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 45*u**2 + 220*u + 89. Let v be s(6). Which is the closest to -0.83? (a) v (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**2\/2 + 711*f\/2 + 4683 = 0?\nAnswer: -223, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -92.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 713*q - 714*q + 19 = 5*l, -2*q - l + 119 = 0. Suppose 2*b - 132 = -2*k, -b - 132 = -3*b + 5*k. Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 114 + 135 - 3*l + 117 - 366. Suppose k + 3*k = 68. Let q(b) = b + k*b + 2*b. What is j(q(s))?\nAnswer: -60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 1)\/(0 + -1). Suppose -7 = 2*d + 5*k, -n*d - 5 = -4*k + 17. Let p be (d\/7)\/((-3)\/42). What is the greatest common factor of 84 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 8*y**2 - 18*y - 22. What are the prime factors of h(-7)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 353595748 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129327, 258616, 387901, 517182?\nAnswer: 646459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**7\/399 - 11*l**6\/285 - 9*l**5\/38 - 85*l**4\/114 - 74*l**3\/57 - 24*l**2\/19 - 333*l + 6. Solve m(y) = 0 for y.\nAnswer: -4, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2100, -8537, -19314, -34431, -53888, -77685, -105822?\nAnswer: -138299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 15. Let s(p) = -10*p**2 + 11*p. Let r(f) = f**2 - f. Let v(d) = -44*r(d) - 4*s(d). What is c(v(o))?\nAnswer: 8*o**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10792, -10691, -10598, -10519, -10460, -10427, -10426?\n\"Answer: -l**3 + 2*l**2 + 102*l - 10895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**5\/30 - 4*f**4\/3 - 1536*f**2. Solve c(x) = 0 for x.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = k - 953. Suppose 16*n + k = 18*n. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 93*x**2 + 7*x + 3806. Let o(a) = 37*a**2 + 3*a + 1903. Determine 5*o(l) - 2*u(l).\nAnswer: -l**2 + l + 1903","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + sqrt(396) + (sqrt(396)*3 - sqrt(396)) + -1 + (sqrt(396) + 5 + sqrt(396) + -3)*3 + 0)**2.\nAnswer: 432*sqrt(11) + 32093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.03 (b) -9 (c) -15 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 13*d + 5. Let q(k) = 3*k + 1. Let f(x) = -2*x + 19. Let a be f(14). Calculate a*q(n) + 2*c(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a second in microseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31 and 1581.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5464889 is divided by 153?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q - 10 = 0. Let a = 0 - q. Solve -a*k = -4*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.381 * 2157.3\nAnswer: 821.9313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -38, -1\/4, -0.268, -8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1638382 divided by 71234.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -384 - -399. Factor -3 - b - 3*x + 381*x**2 - 380*x**2.\nAnswer: (x - 6)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a factor of 18719227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 1098*i - 4410 = 0, 4*l + 17*i = 18*i - 28 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242425 is divided by 1165?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 242 and -0.619?\nAnswer: 242.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 6*r - 3*s + 6, 3*r - 23 = -s. Calculate the remainder when 14 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12967710754 and 458.08.\nAnswer: 12967711212.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84860, 84899, 84924, 84929, 84908, 84855?\nAnswer: 84764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 858*o**3*r**4 + 3*o**3 + 6*o*r**2 - 3*r wrt r.\nAnswer: 20592*o**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -187 + 220. What is the remainder when m is divided by 13 + 1\/2*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -160340.\nAnswer: -1\/160340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, x: 4}. What is prob of picking 1 h and 1 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1780, -1805, -1814, -1801, -1760?\nAnswer: -1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -11*v + 5\/6*v**3 - v**2 - 1\/20*v**5 + 0 + 5\/12*v**4. Determine c(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + x + 16 = 0, -5*x + 3*x = 0. Let d be v\/3*9\/6. Let p(a) = -4*a**2 - a + 1. Let w(c) = c**2 + c + 1. Let k(o) = p(o) + 5*w(o). Determine k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**5\/20 + b**4\/6 - b**3\/6 - b**2 + 4*b. What is g(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/6*36\/1071.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, -0.5, 2\/9 in descending order.\nAnswer: 5, 0.3, 2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844 at least -5282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/5 - 194\/(-10). Differentiate 28*x**4 + m + 1 + 24 with respect to x.\nAnswer: 112*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, n: 1, a: 1, h: 2}. Give prob of picking 1 n, 1 p, and 1 h.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(-2*sqrt(7)*-3 + 1)*6.\nAnswer: 11 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.074 - -0.074. Let d = 16 + i. Let q = d - -11. Which is the nearest to -0.1? (a) q (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 7}. What is prob of picking 2 m?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 843*p - 123525 = 3190*p - 8522 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + z + z = 48, 0 = 2*z + 8. Let t be (1*36)\/(21\/f). Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by 1\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haao when four letters picked without replacement from opholpapplollloo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 6729.\nAnswer: -6729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94 + 97. Solve -4*v + y - 17 = 0, 0 = -2*v - y - j*y + 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -244.47?\nAnswer: 244.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(5) + sqrt(80)) + 0)*-2.\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8976438988.84 + -1.44.\nAnswer: 8976438987.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 640*t**4 + 3*t**3 - 674*t**4 - 2*t**2 - 813*t**4 + 3*t**3 - 8*t**3 as f + a*t**2 + g*t + n*t**3 + j*t**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1 in increasing order.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1797799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2514422, 2514417, 2514414, 2514413?\nAnswer: 2514414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d = -12*d - 36. Let q(l) = 25*l - 72. Let a be q(d). Let s(t) = t - 4. Let b be s(6). Solve b*p + p = a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from ccvaqpvvav?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(12))*-1 - 5*(sqrt(3) + -1 + -1).\nAnswer: -7*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -900 - -777. Which is bigger: -118 or r?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (-3 - (1 - (-8 - -6))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.88 - 3.86. Let x = -0.02 + z. Which is the third smallest value? (a) x (b) 0.2 (c) 1\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-2\/191)*a**(-3\/10)\/a**(2\/29))**(3\/8) assuming a is positive.\nAnswer: a**(-321\/2320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15431 + 15495. What is the lowest common multiple of (0 - 16)*(-9)\/2 and a?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1128*y + 564*y + 565*y + 3 - 3.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 - 38*r**2 - 16*r - 8. Let b(k) = -k**3 + 12*k**2 + 5*k + 3. Let f(v) = -7*b(v) - 2*o(v). Determine f(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyu when three letters picked without replacement from {y: 6, u: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1940724 divided by -485181.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6*j + 24. Let w be (2\/(-3))\/(j\/864). Suppose -46 - w = -2*p. Calculate the remainder when p is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -12.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 1)*(6*v**4 - 4*v**4 - 4*v**4) + 1802*v**3 - 9*v**4 - 1821*v**3 + 3 + v**2 - v - 5 to the form p + z*v**3 + t*v + h*v**4 + q*v**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) + (-2)\/(-8). Let t(j) = j**2 + 2*j + 78. Let l be t(-24). Let i = l + -604. Solve -3*w = s, 3*k = 2*k + 5*w - i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308 divided by 2226.\nAnswer: 22\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.91\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o + 14. Let h be (3\/(-2))\/(7\/o). Solve 9 + 5 = -2*y - h*z, 2*y - 5*z - 2 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 3:34 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2103 - -2328. What is the remainder when j is divided by 117?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjji when four letters picked without replacement from {c: 4, j: 3, i: 7}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 815 or 814?\nAnswer: 815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11095 and -0.0781.\nAnswer: -866.5195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -17, -15168, -1 in descending order.\nAnswer: 1\/2, -1, -17, -15168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4738905 + 5?\nAnswer: 4738910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**2 - 3*s - 2. Let h be n(3). Let g(x) = -x + 4. Let r be g(8). Let w be ((-18)\/8)\/(-3)*r. Put 0, w, h in ascending order.\nAnswer: w, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07239*0.11.\nAnswer: -0.0079629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -155272 + 14?\nAnswer: -155256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2633, -5693, -8753, -11813?\n\"Answer: -3060*m + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2545610 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -754 + 10?\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l - 1. Let j be z(-1). Suppose j = -4*k + 4. Let v = 8 - k. Calculate the greatest common divisor of v and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9051000578 - 9051000447.82066402. Let q = -0.17923898 + m. Let t = q - 130. What is t rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 + 17*o**2 + 19*o - 16. Let d(v) = -v**3 + 6*v**2 + 6*v - 5. Let h(j) = -7*d(j) + 2*x(j). What is h(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from xvkvkvkv.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + -0.9. Let d = 9 - 11. Put -0.1, d, w in increasing order.\nAnswer: d, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1629*p**2 + 2154*p**2 + 452*p**2 as w*p + l + x*p**2 and give x.\nAnswer: 4235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76842 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: In base 15, what is -12 - 5a2d757?\nAnswer: -5a2d769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-7))\/(-5 + 5562\/1134)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31272?\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = x - 0*v + 2, 4*x - 3*v - 25 = 0. Suppose -13 = -5*d + 2*h, 5*h + 20 = -0*h. Let z = -2 - -2.1. Which is the nearest to d? (a) x (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 11*m - 147. Calculate the remainder when x(10) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 = 1. Suppose 8 = t*r, -h + r + r - 5 = 0. Suppose 0 = 164*n - 209*n + 180. Solve 2*q + 5*o + 10 = h, 3*o = -n*q + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*y*z**2 - 3197*y + 169*z**2 - 4 wrt z.\nAnswer: 24*y*z + 338*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162722 and 11426.\nAnswer: 4718938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**3\/6 - 3*o**2\/2 - 3*o. Let i be m(12). Solve 3 = -3*h - i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*t + 14*t - t**3 - t**4 - 31*t - 2 as k + n*t**4 + x*t**3 + c*t**2 + q*t and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - u + 3644, 35*u - 40*u = 20. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2*(g\/((g**(2\/19)\/g)\/g))\/g)\/(g**7*g**(-3)))**34 assuming g is positive.\nAnswer: g**(-68\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1680 and 1890?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-2 + sqrt(2))*-2*6)**2 + 1 + -4 + 0).\nAnswer: -2583 + 1728*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, 14, 2\/9, -0.4, 5\/4 in decreasing order.\nAnswer: 14, 4, 5\/4, 0.4, 2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Let n = 252 - 255. Let h be (-323)\/119 + (2 + n)*-3. What is the closest to w in 0.5, h, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11479 is divided by 1275.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*l + 2*l + 19, 4*l = 3*k. Let o = 20 - k. Calculate the remainder when 46 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-12) - (-3)\/20. Let i = 837\/5 + -168. What is the closest to o in -1\/3, i, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3775?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136 by 2.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1233543 - -20977522\/17. Let r = d + -429. Let w(k) = -k**3 + 3*k**2. Let o be w(3). Which is the smallest value? (a) o (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4*1\/9*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*c + 121 + 50 - 35 = 0. Solve 23*n - 21*n = -c*j + 4, 0 = -n + j - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.42, -4, 1\/6, -3 in descending order.\nAnswer: 0.42, 1\/6, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 187213288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + 16848?\nAnswer: 16835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 131*o - 15531. Determine i(119).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 0.2, -3\/2, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 14 = -4*m, -5*m + 5*c + 4 = 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -695*x**3 + 3646 - 3651 + 22*x**3 in the form y*x**3 + g*x + t*x**2 + b and give y.\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -122? (a) 2 (b) 0 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17200?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3)*-5*-2 + (-1 + sqrt(1088) + 1)**2.\nAnswer: 10*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(72)*2)\/sqrt(8))\/sqrt(3) + -3).\nAnswer: -6 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4\/4 + 105*q**3\/2 + 1371*q**2\/4 + 765*q + 567 = 0. Calculate q.\nAnswer: -63, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3851, -3844, -3825, -3788, -3727, -3636?\nAnswer: -3509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, 1, -417, 0, 43 in descending order.\nAnswer: 114, 43, 1, 0, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8034401?\nAnswer: 41, 127, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 8. Suppose 111 - 16 = -5*h + 5*u, -h = 3*u + 19. Give t(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/32*(-1485)\/(-270)*8\/66?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 47 = -2*o - 5*f, -3*o + 109 = -f. Suppose -4*z + o = -11. Calculate the greatest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**1\/k*k*k)**(-29)\/(k\/(k\/k**3)*k**(-8)))**(-1\/35))**(-43) assuming k is positive.\nAnswer: k**(-4773\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 5. Let u be q(-3). Suppose -3*w = -u - 4. Let y be 15*(w - 12\/9). Solve -p - y = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r + 20. Let s = 10 + r. Let k = s + -2. What is the remainder when 5 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2817\/1000 + 24\/125. Let s = 2777 - 152731\/55. Let j = 987\/110 - s. Find the common denominator of j and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2 - l. Let u(n) = 27*n**2 + 4*n. Let i be u(1). Let g(v) = -v**2 + 30*v + 32. Let h be g(i). Determine r(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - u - 2. What are the prime factors of h(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {n: 1, j: 1, w: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2241317 (base 10) to base 9.\nAnswer: -4185452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -7, -87, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1339702 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 792 - 65. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36174 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p + 4. Is n(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1772 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + (2 - 0))\/((-116)\/87).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/sqrt(7)*-2)\/sqrt(12) + -2.\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i**2\/3 - 136*i\/9 - 8\/9 = 0 for i.\nAnswer: -2, -2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9438406 times -0.08?\nAnswer: 755072.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 24*g = -24437. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-70)\/(-4)) + 2\/4. Let l be ((6 - -7) + -11)\/(-1). Which is the nearest to 0? (a) 2\/5 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 14526617*m + 14526584*m - 120.\nAnswer: -33*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 71 (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 4012*z**2 + 107124*z - 111132.\nAnswer: -4*(z - 1029)*(z - 1)*(z + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2883, -2847, -2811?\nAnswer: -2775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -178, -1, 4, -110 in ascending order.\nAnswer: -178, -110, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -22. Does 10 divide 74 + (-2 - -2)\/(u + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178773, -179071, -179369, -179667?\nAnswer: -179965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29638530 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -96 - 1076. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000693365 rounded to six dps?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 times -72?\nAnswer: -3096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6135342 divided by 5\nAnswer: 6135342\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -21*m**3 - 5*m**2 - m - 7. Is h(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860849 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -231*h**3 + 84*h**2 - 5*h - 9. Let p(j) = 116*j**3 - 43*j**2 + 2*j + 4. Let r(u) = -2*a(u) - 5*p(u). What is the third derivative of r(g) wrt g?\nAnswer: -708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(77)*-1*5 + sqrt(77))\/sqrt(7) + 3*((sqrt(11) - sqrt(539)) + -2 + sqrt(11)))**2*2.\nAnswer: 2736*sqrt(11) + 48084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02838 - -5.85362. Let x = i + 0.118. Put -0.4, -1, x, 0.4 in decreasing order.\nAnswer: x, 0.4, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70.5 - 70. Let m = 4 + -4. Let o be 6\/(-33) - 13\/(858\/(-144)). Sort i, m, o.\nAnswer: m, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = p - 0*o - 5*o, -5*p = o + 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11562)\/(-196) + (-1471)\/(-144158).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -4*r**3\/3 + 3*r**2 - r + 644. Let h(b) = 3*b**2 - 5*b. Determine 3*h(t) + 2*u(t).\nAnswer: t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 6*a**2 - 12*a - 18. What is the units digit of v(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*x + 2. Suppose 9 = m - 9. Suppose -x + m = 4*u. Solve u*t - 3*k = -7*k, -1 = -4*t - 3*k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375041087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 85\/(-34))*0. Let i(r) be the second derivative of 1\/20*r**5 + j*r**3 - 7\/12*r**4 + 25*r - 4*r**2 + 0. What is i(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 7:48 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1469*p**2 - p. Let j(c) = 5*c. Determine r(j(o)).\nAnswer: 36725*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**4\/12 - 7*f**3\/6 + 30*f**2. Let v be b(6). Find the second derivative of -51*m + 73*m + 24*m**5 + 0*m**v wrt m.\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 14405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s = 8045 + 4260. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, q: 3, y: 3, v: 2, c: 3, h: 3}. Give prob of picking 2 q and 2 v.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*((1 + sqrt(468))*-6 - (-2 + -3*sqrt(468))) + -5)**2.\nAnswer: 360*sqrt(13) + 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 4*r = 918. Suppose -169*v + 6054 = 984. What is the smallest common multiple of r and v?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(0*f + 4*f - 2*f + (1 - 1 - 1)*(-f + f - 10*f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 856 + -856.454. Let s = -0.304 - m. Suppose -3*g = -2*g + 1. What is the closest to g in 5, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103138904?\nAnswer: 2, 11, 269, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0387 - -28.9613. Which is the nearest to -6\/5? (a) d (b) 1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92637050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(132) + sqrt(132)*-3 + sqrt(132)) - sqrt(132))\/sqrt(3).\nAnswer: -8*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 7*z + 3*z = -13, z = -4*j + 26. Suppose 8 + j = 5*v. Suppose v*b = b. Solve 5*m = -q + 6*q + 20, b = -4*q - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = 3*c + 2*f, 0 = 2*c - 2*f - 4. Put 1\/24, 0, 12, c, -0.4 in decreasing order.\nAnswer: 12, c, 1\/24, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z - 5 - 2 + 3 + 3*z. Suppose -18*d = -12*d + 12. Let y(i) be the second derivative of -i**3\/2 - 3*i**2\/2 + 4*i. Give d*p(l) + 3*y(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90178 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 178813619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27753 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**6\/120 - t**5\/20 - t**4\/24 - t**3\/6 - t**2. Suppose 83*q = 81*q. Let s be -5 - (q + (2 + 13)\/(-5)). Determine u(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(850)*-3)\/(sqrt(98)*2).\nAnswer: -15*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12164497909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 28, 5, -52 in increasing order.\nAnswer: -52, -4, 3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 22605 = -6035. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/3 + 4207*s**4 - 556777*s**3\/3 + 2039065*s**2 = 0 for s.\nAnswer: -12665, 0, 21, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.6*9.\nAnswer: 176.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 251, -4, -2\/61?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1320*n**2 - 526*n - 526. Determine q(-1).\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62f437 (base 16) to base 9.\nAnswer: 13173727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 2 (c) -1\/4 (d) -3 (e) -4 (f) -1 (g) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*2 - sqrt(66))*-3 + (sqrt(66) + -2*sqrt(66))*-2)\/(sqrt(294) + (sqrt(294)*-1*-4 - sqrt(294)) + sqrt(294)).\nAnswer: -sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 17, m: 3}. Give prob of picking 4 v.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235 or -1201?\nAnswer: -1201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*d = 4*x + 101, -4*d = -4*x - 244. Let p = x + 127. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.176 minus 108990272?\nAnswer: -108990272.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*m**2 - 1\/6*m + 1\/6*m**3 + 1\/6.\nAnswer: (m - 1)**2*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(1 - 1 + 1) - 2 + 2 - 2)*(4*t - 2*t + 0*t + (-6 + 1 + 3)*(28*t + 117*t + 34*t))*(-4 - t + 4).\nAnswer: -1424*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40, -351, -1178, -2779, -5412, -9335, -14806, -22083?\n\"Answer: -43*s**3 - 10*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28049.672576 + -64.819524. Let a = 28117 + v. Let n = -0.0221 - a. Round n to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvt when three letters picked without replacement from eedddktkssdveessee?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32470*n**2\/3 - 3517645*n + 60125\/3 = 0 for n.\nAnswer: 37\/6494, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**14*g**(11\/4)\/g)**(15\/4) assuming g is positive.\nAnswer: g**(-675\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 778*n - 2*n**2 + 256*n - 3*n**2 - 88*n.\nAnswer: -5*n**2 + 946*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113212 + -10321?\nAnswer: 102231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 977238413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k*k**(-1))\/k))\/k*k**21*k)\/(k\/k**(1\/11)*k**(-3)\/k) assuming k is positive.\nAnswer: k**(276\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.751 and -0.352.\nAnswer: 8.360352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -156*x + 265 - 265 - 2 + 2 + 2*x + (-2 + 3 + 1)*(-4*x + x + x).\nAnswer: -158*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + sqrt(936)*4 + sqrt(936))\/(sqrt(14)\/sqrt(63))*5.\nAnswer: 465*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = -3*g, 0 = -0*g - 4*g - 2*n + 12. Suppose 0 = g*v - 4. What is the lowest common multiple of -5*((-4)\/10)\/v and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {n: 2, p: 5, w: 3, y: 1, u: 8}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 4*d**2 - 7*d - 36. Determine j(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -9*w - 11\/12*w**4 + 0*w**3 - 3\/4*w**5 + 0*w**2 + 0. What is the third derivative of r(v) wrt v?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9082 = -3*y, -3*l + 13883 - 260 = -4*y. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 1307*f - 6505. Calculate o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-1)\/(-75)*5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**5\/30 - v**4\/6 - 2*v**3\/9 - 77. Factor i(r).\nAnswer: -r**2*(r + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.073 (c) -2\/5 (d) 1139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2 + -4 + sqrt(180))*-1*-2 + 2)**2.\nAnswer: -4920 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.036 * 19526582\nAnswer: -702956.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 divided by -189346?\nAnswer: -49\/94673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 6:38 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwwwwrwfwqrwwwrqr. What is prob of sequence wq?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4))**1*((o*o**(-1))\/o)**(-50) assuming o is positive.\nAnswer: o**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.646 to 2 decimal places.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328051, 656053, 984055?\nAnswer: 1312057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 + 147. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/2 - 7572*i - 9555864.\nAnswer: -3*(i + 2524)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + h**2 - h - 1. Let f(o) = -7*o**3 - 4*o**2 - 6*o - 15. Let y(g) = 6*b(g) - f(g). Give y(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 15*j**2 + 76)*(1 - 1 - 2)*(26 - 26 + 49*j)*(0 + 0 - 3).\nAnswer: -4410*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x - 49. What is the remainder when 198 is divided by n(-11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-4) - (-1)\/(-4). Let p = -459818\/49 + 9384. What is the closest to 1 in s, -2\/3, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or -903357?\nAnswer: -903357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 372*b**2 + 75*b**4 - 92*b**2 - 6*b**3 - 79*b**4 - 9*b**3 wrt b?\nAnswer: -96*b - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 8:33 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 14. Let l(g) = -21*g**2 + 4*g**2 - 5*g - 8 + g**3 + 12*g**2. Calculate l(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*410\/120 - -13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, n: 1, s: 2, m: 2, d: 4}. Give prob of picking 1 s, 1 d, and 1 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3082 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.2, -71\/9, -5, -5\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, o: 4, v: 1, k: 1}. What is prob of picking 1 s and 1 v?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 7*x = -468. Suppose -x*p + 13991 = -19*p. What are the prime factors of p?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 296.401421 + -296.4. What is u rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 11 = -3*r, -171*a - 8 = -169*a - 3*r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 7*t**5\/10 + 17*t**3\/6 + 13*t. Find the second derivative of d(g) wrt g.\nAnswer: 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264\/233 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 928.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62486*l*n + 15*n + 8398 wrt l.\nAnswer: 62486*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6) - 2\/(-4). Let i be 10*k*(-3)\/(-6). Suppose 2*y - 195 = -5*b, -b + 6*b - 160 = i*y. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -864, -2717, -5558, -9387, -14204?\nAnswer: -20009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*m - 15. Let z(r) = 2*r**3 + 2*r - 4*r**2 + 12*r**m - 11*r**2 - 3*r**3 - 2. Let a be z(-4). Let g(d) = -d**3 + 7*d**2 - 6*d + 7. Calculate g(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7333*f - 95279. Calculate g(-13).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5334123 - 55?\nAnswer: 5334024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**2 - 12. Let n(o) be the second derivative of o**3 + 4*o. Calculate n(g(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*a + 1881 = -1142 - 683 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 519\/37. Which is bigger: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**5\/60 + j**4\/24 - j**3\/3 - 23*j**2. Determine w(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -256*j - 4785. Determine h(-18).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(7\/12) + -2. Let j = k - 6. Suppose 88 = j*q - 0*q. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + -30. Let y = b + 41. What is the second derivative of -6*x + 4*x**5 + 0*x**y + 12*x**5 wrt x?\nAnswer: 320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47756865?\nAnswer: 3, 5, 13, 18839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 2*l + 1. Let z(r) = 55*r**3 - 6*r**2 + 12*r + 17. Calculate -6*g(s) + z(s).\nAnswer: 55*s**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.52985 millimeters in meters?\nAnswer: 0.07152985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5\/4 + 12*m**4 = 0 for m.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 7) to base 6\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41504 = 4*j - 4*p, 3*j - 8082 = -4*p + 23039. What is the thousands digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.631847ml in litres?\nAnswer: 0.006631847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -0.2, 228, -4 in ascending order.\nAnswer: -4, -4\/5, -0.2, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.0004 + -27. Round l to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1100))**2 + 5 + (sqrt(1100) + 0)**2 + -4 + (-2*(sqrt(1100) + -4*sqrt(1100) + -4)*-1)**2.\nAnswer: 920*sqrt(11) + 41869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -0*z - 3*v - 1, -5*v = -4*z + 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 40*u**2 + 103*u + 200. Let g be s(-2). Suppose -3*o + 24 = 3*c - 15, 2*c - 12 = -o. What is the greatest common factor of g and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 507.\nAnswer: 50.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*b - 90 = -b, 2*a - 86 = -2*b. Suppose -k - 39 = -13. Let v = k + a. What is the remainder when v is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*p + 24. Solve 0 - 4 = 5*x + p*o, 3*x + 2*o = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**8\/8400 + 10*t**3\/3 + 5*t**2. Let i(q) be the first derivative of k(q). Determine g so that i(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -394 times 0.4\nAnswer: -157.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f + 10*f - 13 - 4*f.\nAnswer: -2*f - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 8*u**3\/3 - 1. Let s(j) = 2*j**2. Calculate s(v(w)).\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from hhhfhfhhfhhhhhfhfh.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-2)*-11*4\/110?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.317, 1, 1\/4, 23, 13, 5 in decreasing order.\nAnswer: 23, 13, 5, 1, 0.317, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 119*h - 3083. Give u(-81).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0076212 rounded to four decimal places?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 + 1)*(167*f - 19577 + 19577) to the form u*f + w and give u.\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*j - 16, -3*j + 0*s = -2*s - 2. Suppose -j*l + 0 + 14 = 0. Let u = l - 4. Solve 2*f + 8 = -2*f - 5*x, 0 = -3*f - 3*x - u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c + 143. Calculate r(32).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -10. Suppose -3*z + 0*a + 23 = 2*a, q = 5*z - 4*a. Suppose 1644 = 4*g + 2*m, z*g + 3*m - 830 = 3*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -3\/56*n**8 + 0*n**3 + 3*n + 0*n**2 - 1\/12*n**4 + 0*n**6 + 0 + 0*n**7 + 0*n**5. Find the third derivative of b(t) wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j - 37*j + 2646. Suppose 0 = 127*y - j*y - 1. Solve -1 = 2*n + y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 8:46 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7620750 rounded to the nearest one hundred thousand?\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 2. Let w be a(0). Suppose 24 = w*t + 10. Let y(c) = 3*c**3 - c - 2. Calculate the remainder when y(2) is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**3 - 2*u**2 + 3*u - 16. What is the hundreds digit of y(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -7. Let m = p - 9. Let u = m - -4.99973. Round u to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 679*y - 4. Let z(p) = -p. What is b(z(i))?\nAnswer: -679*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*l + 8*l - 102, 5*l - j - 163 = 0. Calculate the remainder when l is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 13 = -2*l, -3*l - 12 = -2*k + 5*k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 - -87. What is the lowest common multiple of 5142\/33 + ((-20)\/x)\/2 and 65?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11512660 is divided by 54.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123516961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1275*w - 707*w - 943 = 743*w + 13407 for w.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117678 - 310772 = -104*w + 632354. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8916162 and 1016.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133476875 and 21875?\nAnswer: 4375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -10\/1118680183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(1 + (-81)\/90). Let o(d) = d**3 - d**2 - d + 1. Let a(n) = -12*n**3 + 10*n**2 + 10*n - 10. Calculate x*o(p) + a(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**6\/120 - v**5\/20 + v**4\/8 + 2*v**3\/3 + 2*v**2. Let y(h) be the first derivative of g(h). Determine z, given that y(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -203 - -244. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 7:16 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2115*v**2 + 239*v**4 + 277*v**4 + 128*v**4 - 905*v**2 wrt v.\nAnswer: 15456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -15*o + 2. Let h be p(2). Let l = 71 + h. What is the remainder when l is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*r + 5412 = 5580 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -221*t + 2. Is c(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -5 - 1 - (-18 + -2 - 0)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k + 24. What is n(16)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 252340357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -232 - -239. Sort 5, w, 3, -2.\nAnswer: -2, 3, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 4137*p - 16539. What is v(4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 757 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1112)\/(-276) + (-92)\/3174.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44716293*q**3 + q**2 - 3938*q + 3877.\nAnswer: 268297758*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 16 = 3*l. Let q(m) = -3*m**2 + 10*m - 3. Let b(f) = -4*f**2 + 15*f - 4. Let g(s) = 5*b(s) - 7*q(s). Determine g(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 25.88, 0, -3, 2\/11, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1148\/10 + 4*3\/60. Suppose 5*y - 487 = -4*b, -3*y - 5*b + 415 - k = 0. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 + 111 - 480*g.\nAnswer: -480*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 17*h - 2. Calculate the remainder when b(6) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 107 = 3*i + 40, -3*i + 3*j = 123. Let x = -9 - i. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2119 - -2117. Which is the nearest to 0? (a) -0.04 (b) -1 (c) -5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122315 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1461)\/(-15) + 2\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-24)*(19 - 1). Let f be (0 + 3)*(-276)\/s. Is (-1)\/(3 - f\/(-30)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24\/7 - 381\/7*q**3 - 108\/7*q**4 - 234\/7*q**2 + 180\/7*q = 0. What is q?\nAnswer: -2, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/((-39)\/2)*-4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let d = -256 - -252. Let q = 4 + d. Solve q = -3*p + p - f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 594208604?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yryh when four letters picked without replacement from {r: 2, h: 6, y: 7}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*g + 37*g + m - 3 = 0, 5*g = -4*m - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423405 is divided by 512?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433 = 3*n - 5*p, -2*p = 2*n - p - 267. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (3 + 17)*(-4)\/(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3804241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 9, -2*i - 17 = -12*m - 11 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 365616882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712007619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82537 is divided by 1618?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g + 92 = 0. Let n = -14 + g. Suppose 0 = -31*k + 28 + 34. Calculate the smallest common multiple of n and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 14 + 36. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*n**3 + 4*n**2 + 2*n**2 - 5*n**2 + 4*n**2 + 27*n**3.\nAnswer: 2*n**3 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 0 - 1 - -33. Suppose -3*k + m = -20. What is the remainder when k is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1307\/3 = 1012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 273875124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 2:48 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*(h\/(h\/((h*h*h\/(h*h**1\/h))\/h))*h*h)\/h))\/h*h)\/h**0)**34 assuming h is positive.\nAnswer: h**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805 is divided by 36?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**2 + 5*d**5 - 3*d**5 + 7*d**2 + 0*d**4 - 2*d**5 + 0*d**4 + 6*d**5 - 3*d**5 - 2*d**5 + (-3 + d + 3)*(d - 2*d**4 - d).\nAnswer: -d**5 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 85 (b) 0 (c) 3\/4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8550*x**5 + 4*x**2 + 13557921*x - 3*x**2 - 13558162*x wrt x.\nAnswer: 513000*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = -156 + 114 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0204 - -0.0808. What is l rounded to 3 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 3\/14, -2\/3, -1, -5\/11, 3\/4, -1\/15?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*l - 3*g, -7 = 4*l - 2*l - g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 5*s - 12*s)*(-156 + 497 + 277) in the form t*s + u and give t.\nAnswer: -9888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18566958?\nAnswer: 2, 3, 17, 182029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 175416428399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(1*(4 + -3)). Suppose -2*j + 30 = v. Let u = -11 + j. Solve 4 = -2*t - u*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z + 47*z = 609632 - 614780 for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, u: 6, b: 3, d: 2, x: 2}. Give prob of picking 2 u and 2 d.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*u**3 - 2*u**2 + 4 + 14*u - 27*u**2 - 18*u - 7*u**2 = 0. Calculate u.\nAnswer: -1\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1650 (base 9) to base 12\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 191 = -u + 4*u, 5*h = 5. Calculate the least common multiple of u and 105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 25)*(-1 + -4 + 4). What is the second smallest value in a, 4\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 10*g**2 + g - 2. Let t be y(10). Suppose -5*k = -2*s + 42 + t, -5*k + 3*s = 55. What are the prime factors of (2\/k)\/((-1)\/76)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185380917227\/202 - 917725322. Let d = j + -1991. Do d and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -16*y - 15\/2*y**2 + 0 + 149\/6*y**3. Is w(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12162*f**5 + 419*f**2 + 14 wrt f.\nAnswer: 729720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 9*x - 3 = 0. Which is the nearest to x? (a) -3 (b) 2\/17 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - (sqrt(15) - ((sqrt(2160) - 2*sqrt(2160)) + sqrt(2160) + sqrt(2160)))) + sqrt(15) - sqrt(15))\/(-4*sqrt(108)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 9*v + 10*v - 5*v - 6*v + 7*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 234855\/7368 - (3\/(-18))\/(16\/12).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2677*m - 491 + 491 + 249*m.\nAnswer: -2428*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1170 and 1053?\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7636, -60015, -202176, -479011, -935412, -1616271, -2566480, -3830931?\nAnswer: -5454516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9186105*r**4 + 87*r**2 - 56813.\nAnswer: -220466520*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 360 - 118. Suppose 5*x + 12 = -18. Let y(m) = -3*m + 4. Let t be y(x). What is the highest common divisor of t and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -6. Let h = g + -5. Which is the nearest to h? (a) -2\/7 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60149 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 c when three letters picked without replacement from {x: 8, c: 2, f: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 58.99878. Round w to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -10)\/((-13)\/(78\/45))*60\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (44 - 3) + (-3 - (3 - 3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283554.6364 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12103528 to the nearest integer?\nAnswer: 3479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)\/x*x)**(-2\/37)\/(x**(1\/9)*x**(-8\/7)) assuming x is positive.\nAnswer: x**(2363\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 17*u**7\/21 + 10*u**4\/3 + 5*u - 7. Find the third derivative of d(s) wrt s.\nAnswer: 2040*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1492074 + -1478497.151. Let t = 13532.8489868 - g. Let i = 44 + t. What is i rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 86 = 4*o, 4*o - 20 = 9*o. Let c = -5 + 13. Suppose -c = 5*a - 98. What is the remainder when k is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-62)\/(-155))\/(((-6)\/(-45))\/((-40)\/(-12))). Solve -b*l - 8 = -18 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 + u**2 + 2*u + 1. Let q(l) = l**3 + 4*l**2 + 2*l + 4. Let p be q(-4). Let o be b(p). Let n = 372 + o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3))**46*(l**0\/l)**(2\/5) assuming l is positive.\nAnswer: l**(-236\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66525, 132279, 198029, 263775?\nAnswer: 329517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + v**2 - v**3 + 12*v**4 - 14*v**4 in the form d*v**2 + u*v**3 + s*v + y*v**4 + n and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.43644 litres to millilitres.\nAnswer: 62436.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*-3*6*-2.\nAnswer: 324*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*w - 9. Let z be (w\/(-6))\/(2\/(-12)). Let u(b) = 3*b**3 - 15*b**2 + b - 1. Let k be u(5). Calculate the highest common divisor of z and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-93)\/15 - (-5 - 2\/2). Let m be ((-15)\/2)\/(-3) + (-1586)\/(-244). What is the closest to u in m, 0.2, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 134*z**3 - 2*z**2 + 2*z - 1. Let q = 21 - 10. Suppose -2*b - 9 = -q. Is h(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.49206 + 0.00794. Which is the biggest value? (a) 21 (b) 32 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2. Suppose 2 - 1 = -w. Let i(b) = 4*b**2 + 2*b**2 - 4*b**2. Let u(y) = w*i(y) - q(y). Let s(v) = -v**2. Calculate s(u(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*r + 4*p - 223 = 0, 2*r + 3*p = -224 + 220 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iihieeqiiiiiiii.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 - 78\/(-8). Let k be 2*6 - (2\/(-2) - 2). What is the highest common divisor of b and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000060101 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 2934*o - 2934*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3\/2, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from uijujmu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146*j*w**3 + 2*j*w + 152*j - 102 wrt w.\nAnswer: -438*j*w**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 64*t**2 - 5866*t - 55. Let d be w(-51). Sort 5, 332, -3, d.\nAnswer: d, -3, 5, 332","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 = 932*f - 860*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38\/87 in -2\/15, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/117 + -124\/819. Which is the third smallest value? (a) 1\/7 (b) 2 (c) g (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**2. Let x be ((-3)\/(-3) - -6)*(-2 - -5). Let r(c) = -14*c + x*c - 5*c. Give y(r(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3\/3 - 4*k**2 + 17*k\/3 + 10 = 0. Calculate k.\nAnswer: -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21\/148, -2\/11, -2, 0.03.\nAnswer: -2, -2\/11, 0.03, 21\/148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(3))\/sqrt(2) + (sqrt(11) - (sqrt(11) - -1*sqrt(11))*-4).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254910084 divided by -1931137.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55966\/15 + -3733. Calculate the common denominator of (-1 - 0) + 58\/72 and i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(100))\/(sqrt(72)*4).\nAnswer: sqrt(7)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.012 in 195, 0.01, 8.7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/((-2*sqrt(12))\/sqrt(4)) + sqrt(52)*2 + 0)**2 + (0 + sqrt(208))**2 + 5 + (4 + sqrt(13) + -1)**2 + -1.\nAnswer: 6*sqrt(13) + 1573\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 89548*w**3 + 155604384*w**2 + 87239192832*w + 16175804184576.\nAnswer: -4*(w - 24043)*(w + 552)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -587 + 591. Suppose -4*d - 5*j + 4225 = -n*j, -4*j + 4 = 0. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 15. Let b = r - 15. Calculate the remainder when 26 - 2*b\/2 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1131810 and 54?\nAnswer: 10186290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 + -0.4. Let m = -3 + x. Let s = -9 - -13. Which is the closest to m? (a) s (b) 0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2735 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k**2 + 6*k + 15. Let c(q) be the third derivative of -37*q**5\/60 - 3*q**4\/4 - 22*q**3\/3 - 40*q**2. Let b(p) = 6*c(p) + 17*r(p). Factor b(x).\nAnswer: -(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -18 and -1929735349.\nAnswer: -1929735367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 1\/5 (c) -2 (d) -62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4 + 4 - 2*a. Suppose -k = 2*k - 12. Let n(g) = 3*g**2 + 15. Let p(q) = q**2 + 4. Let y(l) = k*n(l) - 15*p(l). Determine b(y(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/10030 and -2\/765?\nAnswer: 90270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 751831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17456 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5664\/39)\/8 - (-2)\/(-13). Let z be 345 + m\/12*6\/9. Suppose 6*a - z - 8192 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2701410*b**4 + 18426*b + 15.\nAnswer: 32416920*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25883 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - u**2 - 1. Let g(a) = 32*a**3 + 16*a**2 + 16. Calculate 5*g(r) + 80*z(r).\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2 = -c. Let i = -1 - -3. Suppose -i = w + w. Put -2, w, c in increasing order.\nAnswer: -2, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 734994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 754 - -5?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 94\/(-44) - (-15)\/((-195)\/(-26)). Sort -1\/6, w, 0.4.\nAnswer: -1\/6, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2475, -2467, -2451, -2427, -2395, -2355?\n\"Answer: 4*k**2 - 4*k - 2475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*v**3 - 3*v - 664 + 25*v**3 + 40*v**3 + 663 to r*v**3 + q*v**2 + p*v + w and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19561 = 3*z - 2*g, 20*z - g = 23*z - 19564. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006565 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 2, g: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9604 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1064456?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t - 22 + 14*t**2 - 24*t - t**3 + 14*t. Let n be m(11). Let a = n - 135. What are the prime factors of a?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1765754734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 97*u**2 + 4*u - 3. Calculate y(1).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-20))\/(7232*(-4)\/(-320)).\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -40*z - 1102. Give v(-27).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97.368 + 1.682. Let u = -5375 + 5472. Let p = x - u. Round p to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, 10, 2, -14, -38, -70, -110?\n\"Answer: -4*y**2 + 12*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -35*l**3\/6 - l**2\/2 + 14*l - 1. Let a(b) be the third derivative of -b**5\/30 + 27*b**2. Determine a(g(z)).\nAnswer: -2450*z**2 - 140*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6370 (base 9) in base 12?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7 - 3. Solve -2*v - u + 12 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15 - 4)*10\/(-1). Let p = -3619\/8 - -462. What is the common denominator of p and (-22)\/q + (-734)\/120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -35. Suppose 6 = -q*x - 3*x. List the prime factors of (-4 - (-822)\/12)*(1 - x).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-3) - 3 - -53. Let d(n) = -3 + 2*n - 4*n - 4*n - 30. Let s be d(-10). Calculate the greatest common factor of s and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-72)\/30)\/(1\/(-5)). Let z = 7 - s. Let i(c) = c**2 + 5*c + 5. Give i(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w - 20 = 0. Suppose 0*r = 3*r - 5*j - 6, w*r - 10 = j. What is the third derivative of -79*g**2 + 60*g**r + 6*g**5 - g**5 + 6*g**5 wrt g?\nAnswer: 660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -140, -174, -204?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjwmmvoowjum. What is prob of sequence vmw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 122947.\nAnswer: -3\/122947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -41. Is d > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + q + 4 = 0. Suppose -p = -q - 6. Let z = -64 + 83. What is the remainder when z is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149295*l**2 - 35501 + 149300*l**2 + 35501.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 724591.8l in millilitres?\nAnswer: 724591800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9653 and 3087.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2. Let g(v) be the third derivative of -v**5\/6 - 13*v**4\/24 + v**2 - 18*v. Give g(j(s)).\nAnswer: -40*s**4 + 26*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 5091028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431 (base 15) to base 12.\nAnswer: 66a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4859, 4892, 4923, 4952, 4979?\n\"Answer: -k**2 + 36*k + 4824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2282500*x**3 + 2*x - 4. Let q be f(2). Suppose 0 = 17*c - 6*c + q. Round c to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -25, -34, -47?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-16)*-2)\/(1\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.6 - 25.6. Which is the closest to 0.3? (a) 0 (b) m (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - ((-10)\/(-15) - (-128)\/(-3)). Let g(i) = h - 8*i + 11*i - 5*i. What is the least common multiple of g(13) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) - 2\/3. Let w be d\/1 + 10\/22. Let y = -41\/55 - w. Which is the nearest to 1? (a) y (b) -1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113021 (base 4) to base 12.\nAnswer: a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**3 - 3*n**2 - 8*n + 8. Let z(k) = 7*k**3 - 6*k**2 - 15*k + 15. Let x(w) = -11*u(w) + 6*z(w). What is the remainder when 49 is divided by x(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2744, 5, 6 in increasing order.\nAnswer: -4, 5, 6, 2744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 152700 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -1\/6*n**3 + n + 0 - 3*n**2. Let f = 51007 - 51013. Calculate i(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + (-260)\/70?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 68. Let b = -4 - a. Let z = 2\/393 + 373\/3930. What is the third biggest value in b, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 p, and 1 s when three letters picked without replacement from {x: 1, s: 2, w: 1, g: 5, y: 3, p: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, -0.18, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 456856718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*4706\/62244 - (-30)\/(-27).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by 3.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 321979.4995 rounded to the nearest one hundred?\nAnswer: 322000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20416 by 20416.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 885.948 * 0.02.\nAnswer: 17.71896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r + 15 = 0, -4*u + 4*r = 12. Suppose a + 2 = -u*m, -m + 3*a + 8 + 5 = 0. Sort 0, -5, m in decreasing order.\nAnswer: m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -93\/5 (c) -3\/2 (d) -5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/11 - 8*j**2\/11 - 2*j\/11 + 12\/11.\nAnswer: -2*(j - 1)*(j + 2)*(j + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 9*x**2 + 11*x. Let c be a(10). Let v be ((-4)\/c)\/(5\/(-100)). Is (-421)\/(-2) + v\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.19 - -0.19. Let v = f - 0.2. Which is the smallest value? (a) 0.4 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.99*1.71\nAnswer: 11.9529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12454 = -r, -4987 = -2*m + 3*r + 2*r. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -153 + 415. What is the remainder when a is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - p - 11 + 16 in the form b*p + t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 10. Let g be s(-7). Suppose 0 = -3*m + 5*q - g*q + 20, -3*m + 10 = q. Suppose -4*y + 34 = 2*r, 5*y - 12 - 23 = m*r. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**3 - 3*a**2 + 3*a. Let q(l) = 7*l + 7. Give 5*p(c) + 4*q(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -0.9. Let o = m + -0.6. Which is the biggest value? (a) 1\/2 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 3:46 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 3*h + 3 - 1 + (3 - 3 - 6*h)*(-1 + 1 - 1).\nAnswer: 7*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1210870*t**3 + 40528*t**2 - 20*t wrt t?\nAnswer: -7265220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 14 + (-8 - 0) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 33. Is -1 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -74, 2, -2.\nAnswer: -74, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*n = 18, -j - 29 = -4*j + 4*n. Let f = 11 - j. Let d(q) = 11*q - 6*q - f*q. Let z(h) = -7*h**2. Determine z(d(l)).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 l, and 1 s when four letters picked without replacement from ljjjjsssjslqq?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2723*x**2 + 3604*x**2 - 1581*x**2.\nAnswer: 4746*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 2648630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 140\/(-42)*(0 + 3\/(-5)). Suppose 29 = 5*d + 2*m, 0 = -3*d + v*m + 14 - 3. Solve 5*c - u = -6 - d, 3*u = -2*c - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 43 = 5*y, -38*y = 5*s - 46*y - 62 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3924 + 3950. Let p(m) be the second derivative of 0*m**3 + v*m + 0 - 5\/2*m**2 - 1\/6*m**4. What is the derivative of p(i) wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/3)\/(1\/2). Let b be 3\/g + (-30)\/(-20). Suppose -b*x + 2 + 13 = 0. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 2*u**2 - 2*u**2)*(2*u**2 + 2*u**2 - 5*u**2) + 4*u**4 - 3*u**4 + u**4.\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:16 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 5. Let a be n(2). Suppose 5*f + 3*h - 580 = f, -a*h + 12 = 0. What are the prime factors of f?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 - 2*z - 1. Let l be k(2). Let x = -3 + 18. Calculate the highest common factor of l and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295d31 (base 14) to base 13\nAnswer: -3b4517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2197 minus -46.1?\nAnswer: 2243.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 553*i - 6. Let p be u(2). Suppose 4*x - 880 = g, 0*g - 4*g = -5*x + p. Calculate the greatest common factor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 5*y**2 + 6*y - 1. Let w be n(4). Let u be (-6)\/w*(-7)\/1. Let t be (4\/u)\/(4\/6). Solve 0 = -3*m - 6, -5*r + t = m + m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9558.8 kilograms?\nAnswer: 9.5588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26, 2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = 4. Let u = -7 - -9. What is the third derivative of -h**5 + h**z + h**u + 2*h**5 wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**(1\/2))))**24*(h\/h**(3\/4))\/h*h**(-8)*h*(((h\/(h\/h**(-16)*h))\/h*h)\/(h\/((h\/(h*(h\/h**(-1\/3))\/h*h))\/h*h)))**(3\/7) assuming h is positive.\nAnswer: h**(559\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 29. What is c(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1084*n - 5 + 1774*n + 5)*(5*n + n + n).\nAnswer: 4830*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**4\/4 - 525*t**3\/4 + 6927*t**2\/4 - 26691*t\/4 + 10143\/2 = 0.\nAnswer: 1, 6, 7, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 761282012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*j + 381*j - 14433 = -108*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1150917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 170*d. Let q(n) = 143749*n**2. Calculate f(q(j)).\nAnswer: 24437330*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7900)\/(-4) + 5 + 0. Suppose -5*q + f = -10*q. Calculate the common denominator of (4\/(-11))\/2 + (-3130)\/q and 47\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -1148 + 5228. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291138?\nAnswer: 2, 359, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from zywlzezezeylzlzzeee?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -16. Is -1 + (s - 3 - -1984) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 2. Suppose -4*l = 3*i + 12, -2*i + 6*i + 16 = 4*l. Let g be t(l). Factor -12*c + 2 - 22 - c**g - 16.\nAnswer: -(c + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11323454 rounded to the nearest 10000?\nAnswer: -11320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 400 = -11*x. What is the remainder when 98 is divided by x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 51*q**5\/5 - 151*q**4\/6 - 1267*q**2. What is the second derivative of u(z) wrt z?\nAnswer: 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277629734 to the power of 1\/2, to the nearest integer?\nAnswer: 16662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**7))\/(y*y**(-7))*(y\/y**(-7))\/y**(4\/9))**(19\/2) assuming y is positive.\nAnswer: y**(1121\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 8 = 14*u + 2*d, -4*u + 4 = -3*d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1232161, 2464319, 3696477, 4928635, 6160793, 7392951?\nAnswer: 8625109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p. Let l be z(1). Let f(c) = -149*c - 742. Let s be f(-5). Calculate the highest common factor of s and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (-17 - (32 + -47))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, -3, 1 in decreasing order.\nAnswer: 1, -2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -155*i - 1699. Let y be q(-12). What is the nearest to -1 in y, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) -2 (c) -1\/6 (d) -2\/10761\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/2))**(-6\/19)*q**(7\/5)\/((q*q**0)\/q) assuming q is positive.\nAnswer: q**(178\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -220 less than -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11*w + 37. Let b(v) = -6*v + 19. Let r(y) = 5*b(y) - 3*f(y). Let x be r(4). What is the smallest common multiple of 11 and -8 + 8 + x\/2 + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.8 - 7. Let o = -1.4 + p. Let j = -1.6000034 - o. What is j rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Put -3\/8, 2, o in decreasing order.\nAnswer: 2, -3\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.5 - 0.0651.\nAnswer: 15.4349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2967\/50439*(3*-1*1)\/(12\/(-4))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159*456.75.\nAnswer: 72623.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-567)\/(-28) - (-2)\/(-8). Suppose 0 = -8*h + 3*h + g. Suppose -h*m = -3*d - 44, -56 = -10*m + 5*m + 4*d. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20271, -20275, -20279, -20283?\nAnswer: -20287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 - 6*v**2 + 3*v. Determine m(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 249727, -10, -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203277770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + -23. What is the lowest common multiple of 4 and 1\/(-2) - u\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 411 - 278. Let p = w - 94. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 358, -2104, -4566, -7028, -9490, -11952?\n\"Answer: -2462*g + 2820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 763 - 416 - 7*f - 379 to g*f**2 + z + m*f and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 1*-2*sqrt(72) + 4*(2*sqrt(72) - sqrt(72)) - 5*(sqrt(72) + (-2 + sqrt(72) + sqrt(72))*6)*6) + 2)**2.\nAnswer: -1681128*sqrt(2) + 10914412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001736 rounded to five decimal places?\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 2*p - 161*p**3 + 6 + 506*p**3 + 119*p**3.\nAnswer: 464*p**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16848 is divided by 1178.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-17)\/459)\/((-1)\/6). Let l = -2.85 + -0.05. Let w = l - -3. Which is the nearest to -1\/2? (a) k (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11262, 22335, 33222, 43923, 54438?\nAnswer: 64767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 6*s**7\/35 - 3*s**3 + 17*s**2\/2 + 6. Let g(a) be the second derivative of t(a). What is the first derivative of g(z) wrt z?\nAnswer: 144*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/152793 and -163\/169770?\nAnswer: 1527930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386, -2847, -9528, -22541, -43998?\nAnswer: -76011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1523607328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21390)\/1426)\/(-1*3\/14). Solve 161 = l*u + 21 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - 3*t**2 + t**2 + (3*t - 3*t - 2*t**2)*(-1 + 1 - 3) as h*t + x*t**2 + m and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2.8. Let l = -152.8 - -152.8. What is the biggest value in -3, o, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 81\/12 + 15\/(-20). Let b(j) = j**2 - 6*j - 6. Let a be b(v). Let g be ((-6)\/(-18))\/(10\/a). What is the smallest value in -0.4, 1, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let d be m\/2 + (-12)\/8. Let i(u) = u**2 - u - 1. Let g(y) = 3*y**3 - 2*y**2 + 2. Let c = 4 + -6. Give c*i(n) + d*g(n).\nAnswer: -3*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 222916883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*j + 6*p + 61, -145 = -5*j + 5*p. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 7*l**2 - l + 22. Let b be m(-6). Let j(i) = 3*i**2 + i + 5 + 0 + 2*i**2. Is j(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -49, -89, -163, -283?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 560718270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-70 - -64) + (4 - -2) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, p: 8, z: 2, q: 2}. Give prob of sequence pg.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -500 - -2644?\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -15.68?\nAnswer: -10.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -110011?\nAnswer: 110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*i - 3*y, -2 = -y + 3. Let x(q) = -q + 2. Give x(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/70 + 58\/(-14). Let j be ((-1)\/(-2))\/(w\/(-40)). Are j and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214219104?\nAnswer: 2, 3, 11, 202859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 107143, 107145, 107147, 107149, 107151, 107153?\n\"Answer: 2*i + 107141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1066065, 1066064, 1066063, 1066062, 1066061?\nAnswer: 1066060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -126130707 divided by 42043569?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omssomoromomdom. What is prob of picking 3 m and 1 r?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1)*(2*w - 33*w + 18*w)*(0 + 3 + 4)*(5 - 3 - 3)*(-32 + 32 - 7*w**2) as a*w + o*w**2 + v*w**3 + i and give v.\nAnswer: -1274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, 21 in increasing order.\nAnswer: 1, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 130, 128, 126, 124, 122?\n\"Answer: -2*x + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 584, 580, 574, 566, 556, 544, 530?\n\"Answer: -b**2 - b + 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 7, j: 12}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s = -18*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -27?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4437*u**3*z**3 + 15204*u**3*z + 8*u*z**3 - 2*z**3 + 190*z wrt z.\nAnswer: 26622*u**3*z + 48*u*z - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, y: 1, m: 4, r: 4, i: 3, q: 1}. What is prob of sequence rrmc?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Let t(f) = 3*f + 7. Give -5*j(c) - t(c).\nAnswer: 2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.5460218 to two decimal places.\nAnswer: -12.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12546 and 121278?\nAnswer: 363834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24257223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4*u + 3*u + 3*u.\nAnswer: 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, c: 7}. Give prob of sequence cc.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + 106. Let u(t) = -t + 1. Let c be u(-4). Suppose -15 = -4*a - c*h + 16, -a + 2*h = -24. What is the greatest common divisor of a and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.155 from -0.988.\nAnswer: -0.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + t**2 + t. Let k = 153 + -153. Suppose k = 2*m - 5*r + 18, 3 = -9*m + 8*m + r. Let u(l) = -l**3 - 4*l**2 - 2*l + 1. Calculate m*u(w) + 4*s(w).\nAnswer: -5*w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 10873.\nAnswer: 65238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 616455 - 616483.9941. Let w = -0.068 - -29.068. Let g = j + w. Round g to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/133))**(-1\/22)\/(l\/(l**2\/l)*l*l\/l**(-17\/7)) assuming l is positive.\nAnswer: l**(-13093\/2926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3161, 2734, 2023, 1028, -251, -1814?\nAnswer: -3661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9+5813.874036383\nAnswer: 5822.874036383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40577935*u**2*z**3 - u**2*z**2 - 50*u**2 - u*z**2 - 2*u + 76 wrt z?\nAnswer: 243467610*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367629785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/24*-10*1\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**1\/q*q*q*q))**(-33)*(q\/(q\/(q\/q**(-2\/11))))\/q**3*(q\/(q*q**(2\/9))*q)**(10\/21)*(q*q\/(q*q\/(q\/(q\/q**4*q))))\/q**(-7) assuming q is positive.\nAnswer: q**(22142\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*5*(sqrt(3900)*2 - sqrt(3900)))\/((sqrt(3456)*-2 + sqrt(24))\/(3*(sqrt(8) + sqrt(72) + sqrt(8)))).\nAnswer: -3000*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1 - ((-1191408)\/216 - (-6)\/(-27))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -15, -2*o + 0 = -v - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 12:58 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {k: 3, r: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2. Let g(w) = -434*w**2 + 1716. Give g(a(c)).\nAnswer: -434*c**4 + 1716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = 3. Suppose 2*d = d + v. Let l be d\/(6\/26) + -1. Solve -7*n + 3*n = l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3)*-2) - (0 + sqrt(175)).\nAnswer: -11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = g - 231. Let w = 2347\/5 - g. Let a = 6\/3259 - -192251\/16295. What is the common denominator of w and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 + 10?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(18)\/sqrt(2)*5)\/sqrt(3).\nAnswer: 3 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-15))\/(127\/(-53340)*12)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*sqrt(288) - sqrt(288)).\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(22\/6)\/(102\/(-153))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -9. Suppose x*f = -2*n - 12, 2*n - 5*f + 60 = -2*n. Let z = 25 - n. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1525?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 0 + 1\/6*k**4 + 0*k**3 + 0*k**2 + 14*k. Let v(u) = -u**2. Calculate a(v(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16096406 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -7 - (-2)\/(-6)) + -1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2) + 0) + -1 + sqrt(6)\/sqrt(3).\nAnswer: -sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -259 greater than -1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -15*f - 25. What is the second biggest value in 1, -0.3, f, -3.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.059 - -23.059. Let r = -1711 + 1688.23. Let q = r + a. Round q to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + 42\/8. Let p(j) = 2*j - 7. Suppose -5 + 1 = -4*d, -2*q + 5*d = -7. Let c be p(q). Solve 5*o - f + 19 = -1, w*o + c = -2*f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-2)\/(-2) + 5. Suppose 283*g - 289*g = 0. Suppose 0 = -v + 2*z + 17, -2*z - 2*z + r = g. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g**2 - g**3 - 46*g**2 - 10*g**3 + 25*g**2 - 66*g**3.\nAnswer: -77*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 12, -1, -1\/19, -2?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -363, -1793, -4167, -7479, -11723, -16893, -22983, -29987?\nAnswer: -37899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 9:21 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1143)\/(-11) - ((-3546)\/(-198) - 18). What is the highest common divisor of s and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -504, -992, -1454, -1890, -2300, -2684, -3042?\n\"Answer: 13*h**2 - 527*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = s - 3*l, 3*l - l - 6 = -2*s. Find the first derivative of -s*f + 9*f - 5*f + 1 wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*o**2 + 43*o**2 + 51*o**2.\nAnswer: 167*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2 - 14. Let c be 6\/(-4) + (-6)\/w. What is the tens digit of (c + -1 + -31)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*n - 428673 - 64527. What are the prime factors of n?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 64589 + 17?\nAnswer: 645a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*m + m = 129. Put -84, -4, m in decreasing order.\nAnswer: m, -4, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*n*w**3 - 20*n*w**2 + 2*n*w + 6*n + 91251435*w**3 - 7*w**2 + 8*w - 43 wrt w.\nAnswer: -36*n + 547508610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23298*r**2 + 1293*r + 4 wrt r.\nAnswer: -46596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 179 = -4*n, -5*n - 234 + 16 = -4*m. Let g = -2 - 1. What is the remainder when 33 is divided by -2 + (-1)\/(g\/m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/9)\/r**5 assuming r is positive.\nAnswer: r**(-43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10)\/(g**(-1\/14)*g))\/(g**10*g\/g**(-9)) assuming g is positive.\nAnswer: g**(-433\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -5. Let t be ((-1235)\/(-76) - 17)*(-8)\/(-18). What is the closest to t in v, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69850 is divided by 70?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((2775\/(-125))\/(-37))\/((-5)\/250)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - y**2 - 23*y**3 + 4*y**2 + 5 + 22*y**3. Give z(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99\/194 + -488963\/1358. Let d(l) = 45*l**3 + l**2 - 39*l - 82. Let r be d(-2). Let o = j - r. Which is the closest to 0.1? (a) o (b) 0.1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478053149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 17 + (13 - 18) - 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*s + 29*s. Let f be 1\/1 + 1 + 1. Put 5, s, f in ascending order.\nAnswer: s, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (-66)\/18)*-87. Calculate the highest common factor of d and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66, 122, 178?\n\"Answer: 56*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (39 - 18)\/(18\/21). Let p = -17 + u. What is the common denominator of 2\/(-8) + (-26)\/(-24) and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10111111000100011?\nAnswer: 10111111000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3013 - -13?\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 25 + 27)*(-2 - 2 + 6 + 3*i) - i - 1 + 1.\nAnswer: 104*i + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6*n - 450 = 0. Let v = n - -222. Let u(o) = -o**2 + 4*o + 2. What is u(v)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*f + 14 = v + 286*f + 6, -5*f + 18 = v + 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 251*k**4 + 71*k**4 - 6350 + 6352 + (6*k**2 - 1 + 1)*(-k**2 + 0*k**2 - k**2).\nAnswer: 310*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x + 27. Let o(v) = -v + 7. Let s(k) = -4*g(k) + 15*o(k). Let h(f) = -f - 2. Suppose -35*z - 175 = -0*z. What is z*h(y) + 2*s(y)?\nAnswer: -y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3200*r**4 - 9286160*r**3 + 13473173449*r**2\/2 + 505283181*r + 18948609\/2 = 0.\nAnswer: -3\/80, 1451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*o - 44*o + 37*o in the form p*o + f and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a755 (base 11) in base 10?\nAnswer: 233832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2d (base 16) to base 6\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 83? (a) 2\/9 (b) -5 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-88)\/(-66))\/((-4)\/414*-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4976838, 9953698, 14930578, 19907478, 24884398?\n\"Answer: 10*l**2 + 4976830*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 6*y - 1. Let p(m) = m**2 - 9. Let z(q) = 4*q**2 + 7*q - 56. Let c(h) = -6*p(h) + z(h). Calculate 3*c(j) - 4*l(j).\nAnswer: 2*j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-2509026))\/((-176)\/(-878929860)). Let w = -2\/353837 + l. Let s = 42\/13 + w. Which is smaller: s or -0.04?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 13277201?\nAnswer: -13277203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a decade in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r - 54*r + 4*j = 4, 0 = -4*r - 5*j + 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.4069 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*k - 10 = 0, 3*a - 3*k - 2*k = -5. Does 25 divide a\/((-4)\/(-5) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*m - 22, 8 + 13 = m + 3*h. Calculate the highest common factor of m and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 25. Let g be b\/6 - (-752)\/24. Let r = 34 - g. Solve c + 12 = -r*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28521863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 768369 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9}. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 50, 62, 72, 80, 86?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/8 - 4)*-6. Let d = w - 3. Let x = -27 + d. Let c(z) = z - 2. Let v(j) = 2*j - 3. Calculate x*v(m) + 5*c(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 675, 621, 523, 381, 195, -35?\n\"Answer: -22*z**2 + 12*z + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065444?\nAnswer: 2, 3, 19, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5540 = 9*b - 14765. What are the prime factors of b?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 224342995*r**3 + 6268758*r wrt r?\nAnswer: 1346057970*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678*q - 677*q + 1358*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v + 12*v**2 - 3*v + v - 4*v + 1. Suppose -342*z + 397 = 117*z - 62*z. Calculate y(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 9*k**2 - 9*k + 4. Let i be q(-8). Suppose i = w + 4. Suppose 127 = w*p + 23. Calculate the remainder when 63 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2\/13, -0.1, 6, 17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170756, 341507, 512258?\nAnswer: 683009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8709*q**3 - 20463579*q**2.\nAnswer: 52254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -42. Suppose -4*m = 8, -n + m + 18 + i = 0. Are n and 28 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.7, 10.84, -1 in descending order.\nAnswer: 10.84, -1, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - 56. Let a = p + 124. Let o = a + -39.977. Round o to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/14)\/((-1017)\/339)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 + 6*b**3 - 4*b**3 + 3*b**3 - 8 + 8 + (2*b**2 + 2*b**2 - 5*b**2)*(4*b + 3*b - 5*b) - 4*b**3 - 4*b**3 - 2*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/43840 and 37\/100.\nAnswer: 219200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -62.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 - 321327*q = 0 for q.\nAnswer: -107109, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172615.\nAnswer: 5, 19, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -485*i**2*s*z + 81*i**2*s - 82*i**2*z + 60*i*s*z - 293*i*s - 73*i*z wrt i.\nAnswer: -970*s*z + 162*s - 164*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2038 or -2027?\nAnswer: -2038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b**3 - b**2 - 13*b - 51*b + 37*b + 38*b + 37*b.\nAnswer: -29*b**3 - b**2 + 48*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 8*j**2 + 11*j - 5. Let f = -20 + 28. Let l be i(f). Suppose -3*d - 11 = -l. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*q = -q, -3*q = -3*r - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.62 + -4.62. What is the second biggest value in -8, -3, w, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - z**3 - z**2 + z**3 + 0*z**2 + 3 to a*z + w + t*z**3 + d*z**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317952 divided by -12.\nAnswer: 26496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r - 147. Let d(x) = x**3 + 7*x**2 + 3*x + 3. Let s be d(-6). Calculate the highest common divisor of s and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 33, 50, 67, 84, 101?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 11:16 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -11. Let l(r) = -5332*r**2 + 4*r. Let y be l(q). Round y to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*a**2 + 25*a**2 - 76*a**2 + 22*a**2 + 2806*a**3.\nAnswer: 2806*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 - 40. Suppose -11*m = -j*m. Suppose -4*s + 12 = 4*a - 16, -3*a + s + 25 = m. Solve -w + a = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*g - 0*g - 24, 0 = q + 2*g - 21. Let r = -42 + 23. Let u = 27 + r. What is the least common multiple of u and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2835)\/(-756) - (-6)\/(-8). Sort r, 2, -2, 12 in ascending order.\nAnswer: -2, 2, r, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 3. Suppose -2*o = -w*o - 5. What is the nearest to -0.1 in 0.5, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 13*p - 145*p + 34*p**2 + 6*p**2 + 158*p.\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eef when three letters picked without replacement from feffffeeffffefffefe.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7}. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -560112 (base 8) to base 2\nAnswer: -101110000001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h**3 - 2*h**2 + 4*h. Let k(l) = -7*l**3 - l**2 + 3*l. Suppose 17*v = 188 - 120. Give v*k(p) - 3*j(p).\nAnswer: -4*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4905, -4843, -4781, -4719?\nAnswer: -4657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 426409*f**2\/2 - 653*f + 1\/2.\nAnswer: (653*f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 9*v + 4*v + 2 = 0, -4*v - 25 = -3*k. Put -3, k, -4, -2 in increasing order.\nAnswer: -4, -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/((-6)\/(-27)). Solve 0 = -z*r + 8*r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0097749208 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6316 and -10.\nAnswer: -63160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, o: 2, s: 8}. Give prob of picking 1 j, 1 s, and 2 o.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q + 37. Let y be m(5). Suppose -4*r + 461 = -303. Suppose 8*t = 89 + r. Calculate the greatest common factor of y and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 + 65*q + 87. Let a be c(-25). Suppose p + 0*p - a = 0. What are the prime factors of p?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 5*t + 12. Suppose -w = 3*c + 8, 1 = 5*w - t*w. Let l(y) = y**3 - 4*y**2 - 6*y + 1. Let r be l(5). Is c at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 1. Let c(s) = 2*s. Let m(h) = c(h) + 3*n(h). Let d be m(2). What is the highest common divisor of 26 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93975 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413656 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -104, -188, -252, -290, -296?\n\"Answer: k**3 + 4*k**2 - 103*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 42424?\nAnswer: 763632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1845 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1\/4 (b) 0.05 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - y**2 + 6*y - 1. Let v(d) = d**3 - 3*d**2 + 7*d - 1. Let h = 18 + -22. Let f(x) = h*s(x) + 3*v(x). Suppose 6 = 4*o + 22. Determine f(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9537 = 8880. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -16*w - 23*w**2 + 3*w + 14*w. Let g(c) = -2*c**2. Calculate k(g(a)).\nAnswer: -92*a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -9.7. Let n = -24 + 23.66. Let v = c + n. Round v to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 71, 17, -59, -169, -325?\n\"Answer: -2*i**3 + i**2 - 43*i + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -11. Let i = 0 - 1. Let d be 30\/48*(-2)\/i. What is the nearest to -1\/4 in u, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 equal to -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 5*w**2 + 7*w - 4. Give t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = -2. Let f(i) = 2*i**3 + i + n*i**2 + i + 27 - 27. Suppose -2*q = -r - 8, -r + 0*r + q = 5. Calculate f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 406 = -3*l, -6*l + 2*l - 808 = -4*o. Calculate the greatest common factor of o and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/8 (b) 4 (c) -39 (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*r**3 + 7*r - 7*r - 79*r**3.\nAnswer: 64*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b169 + -1b2?\nAnswer: 2ab77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 - 98. Which is greater: 2\/227 or o?\nAnswer: 2\/227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115211 + -115305.014. Let f = -94 - m. Let g = -1.014 + f. Put g, -1\/7, 0, -2 in decreasing order.\nAnswer: 0, -1\/7, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 375*u**2 - 21*u + 248. Let d(z) = -1124*z**2 + 58*z - 744. Let b(t) = 11*a(t) + 4*d(t). Differentiate b(n) wrt n.\nAnswer: -742*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 100, -1 in decreasing order.\nAnswer: 100, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 + 735*t**2 + 15*t - 129193. What is k(-367)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54\/(-63)*(239 - 1). Let x = g + 3269. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -207 + -5?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 1. Let p be 3\/(-4) + (-19)\/c. What is the units digit of (2\/(-3))\/(p\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b + 2 - 7 - 3 + 6. Let h(a) = 2*a + 1. Let m be 40\/5 + 0\/1. Let f = 6 - 3. Calculate f*p(g) + m*h(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 19894.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 86 = 3*z, -8*x + 88 = -4*x - 2*z. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33212 + 230?\nAnswer: 100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + 688*c + 10242. Determine p(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmvmmvv. Give prob of picking 1 m and 2 v.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 + 21*w - 2. Give g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 + 204. Suppose -w + r = -3*m, -2*w - 5 = 5*m - 0. Which is the third smallest value? (a) -0.2 (b) 1 (c) -1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a01a - 4?\nAnswer: -a01e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42 and 307.\nAnswer: -12894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 21052*r - 20693*r - 1)*(-6 - 2 - 1)*(4 - 3 - 3) in the form p*r + j and give p.\nAnswer: 6462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*z - 3750, 2*v = 5*z - z + 3722. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8*k = 8. Let y be (2 + 0)*1 + k. Suppose 36 = 4*n + h, y = n - h - 4*h - 30. What is the remainder when 37 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*a**2 - 989*a**3 + 1418*a**2 - 1908*a**2 + 241*a**2.\nAnswer: -989*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1371.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*j**2 - 17 - 2*j - 224*j**2 - 31.\nAnswer: j**2 - 2*j - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4 - 279\/(-12). Is (i\/7)\/(28\/98) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:15 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 58. Let r be (z - 4) + (-18)\/(-5). Let s = 157 + -1725\/11. What is the third smallest value in s, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2103*v**2 - 1023*v**2 - 1064*v**2.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 2. Let b be n(6). Let l be (1*-2)\/(-9 + b). Which is smaller: 1\/4 or l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11*c**2. Let v(s) = -4460*s. Give v(d(r)).\nAnswer: 49060*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 12*y**2 + 10*y + 3. What is t(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - -11. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.06, -3\/5, 33, -0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3305 divided by -5.\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ler when three letters picked without replacement from lrllllewpe.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 755200 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3, 212883, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 265*1\/16*-6. Let s = k - -99. Let b = 0.176 - 0.216. Sort 0.2, s, b, 0.3.\nAnswer: s, b, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(34))\/sqrt(2) + -3 + -2*sqrt(17).\nAnswer: -sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 15*h - 66. Let v(o) = -5*o - 42. Let l be v(-4). Let g be y(l). Calculate the greatest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*h + 55, -4*h - h - 25 = 0. Let y = 15 + j. Which is the smallest value? (a) y (b) 2\/11 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 564502407?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 387534 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 45751 divided by -119\nAnswer: -45751\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 2 + 0\/2. Let d(o) = 2*o - 4. Let y be d(h). Let v = 13 - y. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 14 = -21*z. Are 11\/23 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**3\/2 + 3*b**2\/2 + 2*b - 3. Let a(f) be the first derivative of p(f). Give a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1704363 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 35*r**2. Let c(d) = 7115157*d**2. Give c(m(y)).\nAnswer: 8716067325*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4*i = 24. Let p = -8 - i. What is the units digit of (1 + -5)\/(p\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11)**(-2\/5)\/(g*g**(8\/9)*g*g**(5\/9)) assuming g is positive.\nAnswer: g**(-353\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 386 = 44. Calculate the remainder when d is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:23 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 749 divide 1498000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -1\/9, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34233 is divided by 544?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6104 - -85569\/14. Calculate the common denominator of l and (-2)\/8 + 1080\/(-80).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 20*n - 27*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 147?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 17 (b) 0.109 (c) 254 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (34\/(-6))\/(2499\/(-882)). Factor -8\/3*b - 4\/3*b**3 - 6*b**m + 0.\nAnswer: -2*b*(b + 4)*(2*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -293*u - 17283. Give m(-59).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 94\/3, 21, 0.4, 1, 89\/4 in descending order.\nAnswer: 94\/3, 89\/4, 21, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 12*s + 46. Let i be n(13). What is the highest common factor of 59 and i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7848 = -5112. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*y - 2*j + 5, 0 = -3*y - 3*j + 9. Let t(g) = -g + 7. Suppose 23 = 5*n - 2*m, 4*m - m = 5*n - 22. Let p be t(n). Is y at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1697.608 tonnes?\nAnswer: 1697608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -69*k - 43. Let b(n) = -74*n. Let q(h) = -2*b(h) + 2*m(h). What is q(6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*b - 2475, 0*b + 1857 = 3*b + n. Let u be b\/8 + 8\/(-32). Calculate the greatest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69185 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9402? (a) -1 (b) 2 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3419*b**2 + 37*b + 19 wrt b.\nAnswer: -6838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3444 - 9156 = -42*b. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -14*f + 37 - 75 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 161 and 0.803365?\nAnswer: 129.341765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 (base 9) in base 3?\nAnswer: 20012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1 (c) -2 (d) 1.03946 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*f + 60. What is the remainder when (-2)\/(-1) - 62\/(-2) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -17*n**2 - 2*n + 2. Let d be c(4). Let t = d - -501. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56051.15 millilitres in litres?\nAnswer: 56.05115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -6023 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 0.388015?\nAnswer: 0.888015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 93138 = 2*y, -2*y - 2 = 8. List the prime factors of g.\nAnswer: 2, 11, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 at most 3\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -837*u = -811*u - 1170 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7436 + 11117 = 432*l + 6457 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(143)\/sqrt(176) - ((1 + sqrt(468))**2 + sqrt(468))) + 3 + (2 + (-2*sqrt(117))**2)*-4 + 5).\nAnswer: -4682 - 71*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/3 - 19*w**4 - 80*w**3\/3 + 21256*w**2\/3 - 41040*w - 144400\/3 = 0 for w.\nAnswer: -38, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 264 = u. Suppose 0 = -4*g + 2*l + 8 + 10, -26 = -5*g - l. Find the common denominator of -41\/16 and (109\/g)\/(u\/60).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1124 + -100203332?\nAnswer: -100202203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 24*p**2 + 323*p + 859. Calculate t(-33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -51*c + 7544. Calculate j(144).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*h - 1834 = 0, 12*z - 2*h = 14*z - 3664. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 2050393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.7 - 4. Let m = 0.16 + 1.74. Let t = -2 + m. What is the closest to t in 1\/2, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3275, 3276, 3277, 3278, 3279?\nAnswer: 3280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35936430 and 18.\nAnswer: 107809290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 72*q + 2. Let a be k(5). Suppose -4*b + 26 + a = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*1)**2 + 5 + (sqrt(539)*2*-2)**2)*-5.\nAnswer: -45840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9071723*g**3*s + 4*g**2*s - 4*g*s + 1766*s wrt g?\nAnswer: -54430338*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m + 171. Calculate h(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 + 5. Let r = 16031 - 16028. Let x(s) be the second derivative of 1\/2*s**2 + 0*s**r + 1\/12*s**4 + 0 - 4*s. Give 2*d(z) - 14*x(z).\nAnswer: -2*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 15*b - b - 360. What is the highest common divisor of b and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -5*l**4\/8 - 33*l**3\/4 - 30*l**2 + 425*l + 2. Determine y, given that w(y) = 0.\nAnswer: -5, -8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 235?\nAnswer: -3\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 + 177*k + 51. Let v be w(-44). Let s(n) = -3*n**3 + 20*n**2 + 6*n + 6. Let a be s(v). Which is smaller: -1\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3de20 - 6?\nAnswer: -3de26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/11529 and 55\/224672?\nAnswer: 370034784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*i**2 - 129*i**2 + 61*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x + 6*x = 1989944. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.472*7.842.\nAnswer: -246.803424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*j + 396. Let r = j - 16. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/9*-1)\/(82\/205)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9886042 divided by -260159\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 57172 = 6*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11302, 11778, 12254, 12730, 13206, 13682?\n\"Answer: 476*m + 10826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 + 28*d**2 + 39*d + 52. What is v(-12)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(833)*4.\nAnswer: -2 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*p + 17*p**3 - 82*p + (14*p**2 - 19*p**2 - 45*p**2)*(2*p - 5 + 5) to the form v*p**3 + k*p + d + g*p**2 and give v.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 637\/9298?\nAnswer: 637\/9298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 280440 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0412959503 rounded to three decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(208) + (sqrt(208) - (sqrt(208) - (2*(sqrt(208) + -1) - sqrt(208))**2)) + sqrt(208)).\nAnswer: -24*sqrt(13) + 636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4798860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 + 5)*(-9*g**2 + 11*g**2 + 3*g**2) to x*g**2 + z + n*g and give x.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29275483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 10*c**2 + c + 20. Let i(p) = 6*p**2 - 5*p - 4. Let h be i(2). What is the units digit of u(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(4*n**3 - 31*n**4 + 468*n**5 - 240*n**5 - 230*n**5).\nAnswer: 4*n**5 + 62*n**4 - 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.280040777 rounded to two decimal places?\nAnswer: 8.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(45\/21 - 2). Let d be 2 - -2 - (-4 + 1). Let s be 2\/5 - d\/5. Which is greater: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 20 = 2*m, -4*k - 3*m = -0*m + 12. Let s be (-3 - -1)\/(k*1). Solve -s*t**2 + 0 - 1\/3*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33412432747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35158, 70314, 105470?\nAnswer: 140626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 + 2 = 0. Let r be ((-24)\/(-14))\/(i\/(-105)). Let q = r + 53. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*j**2 - 11*j - 7.\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (714 - 472 + 1077)*(3*q - 4*q - q).\nAnswer: -2638*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 7 + 3. Suppose n - 6*n + 2*a = -14, -3*a - 2 = 2*n. Let r(t) = -f*t - 6 + 4*t**2 - t**3 + n + 5*t. What is r(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -32*k**2 - 20*k - 7. Let m(y) = 22*y**2 + 20*y + 8. Let a(d) = -3*m(d) - 2*n(d). What is a(-12)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24118\/5 < 4824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 8. Let y(f) = 17. Let c(o) = -23. Let s(w) = -3*c(w) - 4*y(w). What is -g(z) - 6*s(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = -0*d - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + 0*h**3 + 2*h**3 + (126*h - 63*h - 20 - 99*h)*(4*h**2 - 5*h**2 + 2 - 1).\nAnswer: 35*h**3 + 20*h**2 - 36*h - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-13\/6)*g)\/g**(3\/8))**(-32))**(-1\/28))**(1\/26) assuming g is positive.\nAnswer: g**(-1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010 (base 3) to base 4.\nAnswer: 11013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - q - 11 = 0, -4*n + 2*q + 47 = -3*q. Suppose -n = 4*b + 32. Let g(t) = -t + 1. Let k(x) = -8*x + 10. Give b*g(r) + k(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 440879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10257 * -2\nAnswer: 20514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/(-350) - 23\/55\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2448)*-2)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m + 3. Let l be i(2). Suppose 3*x + x - 3*z = l, 0 = -5*x + z + 22. What is the second derivative of -6*b**x - b**5 + b + 2*b + 2*b**5 wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 325 = -j - 2*i, -3*j = 4*i - 349. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 104436, 417792, 940058, 1671234, 2611320, 3760316?\n\"Answer: 104455*g**2 - 9*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14068 divided by 14068\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - l - 1. Let w be g(3). Suppose -a = w*p - 12, 0*a = 3*p + 2*a - 10. Solve 0 = -4*s - 4*q - 6 + p, -5*q = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 8*w + 127. Does 37 divide q(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7960 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/45*-12)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 7. Let i = -3636 + 3634. Let w(n) = 9*n - 15. What is i*w(d) + 5*m(d)?\nAnswer: 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z**(-3\/2)*z)\/z*z)\/z)\/z*z*z*z*z*z*z*z**4*z*z)\/(z**(-7\/2)\/z**15) assuming z is positive.\nAnswer: z**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 38598464.\nAnswer: -38598464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 = -138*u + 140*u + 5*h, -8*u - 13*u + 29*u + 5*h = -858 for u.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 508071689 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*j - 3245 = 29715 for j.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 693.554 + -1.554. Let c = -692.02585 + l. Round c to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4989 + -10917?\nAnswer: -5928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -4. Let v(a) = -a**2 + 18*a - 35. Let m be v(h). Find the third derivative of -5*u**2 - 5*u + 5*u - 24*u**6 + m*u**6 wrt u.\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, and 1 n when three letters picked without replacement from wwnqqm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/13)\/(c\/(c\/(c*c\/(c**18\/c))*c)) assuming c is positive.\nAnswer: c**(210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 235 = 4*w - 5*i, 0 = 3*w - 4*i - 141. Let z = w + -42. Suppose -4 = g, -2*g + z*g - 324 = -4*c. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*u = -2 + 5, 0 = 5*d + 2*u + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let f(v) = 208*v**2. What is r(f(d))?\nAnswer: 208*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(325)*-1 - (0 + sqrt(325) - sqrt(325) - sqrt(325))*2)**2 + (-3*-4*-4*(sqrt(13) + sqrt(325)))**2.\nAnswer: 30*sqrt(13) + 1078606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26*(3 + (-999)\/330). Let x = v - -10\/11. Which is the closest to -1\/4? (a) 2\/7 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1819*t + 28582 + 111362 = 3665*t - 486*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/5 (b) 2\/11 (c) -0.04 (d) 1682\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2178 - 414 + 2316 = 680*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -4.56. Let f = 1.44 + u. Which is the closest to 1\/2? (a) f (b) 0.1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4611419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 89 times -9\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353\/39 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 1\/5 (b) -0.3 (c) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 10*s**2 - 14*s - 6.\nAnswer: -2*(s + 1)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(343)*4 - (sqrt(343) + sqrt(343) + sqrt(343) + (sqrt(343) - (1 + sqrt(343) + -2))**2)) + -3 + 2.\nAnswer: -308*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 + 2 + 102*b**2 - 103*b**2 + b + 11 to the form c*b**3 + k*b**2 + w*b + v and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcewwvwmwwmzmec. What is prob of sequence eze?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -180, 9, -3\/26 in decreasing order.\nAnswer: 9, -3\/26, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 515\/(-5) - (-4 - -2). Let g = 209 + w. What is the greatest common factor of 27 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - 8\/((-8)\/81). Suppose -5*z = -3*v - 153, -z - 2*z = -3*v - u. Solve 6*j - z = -3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 2. Let k(g) = -g - 2. Let d(y) = y + 3. Let x(q) = -2*d(q) - 3*k(q). Let t(a) = v(a) - 6*x(a). Let w be 59 - 79 - (-17)\/1. Calculate t(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 405?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*w - 339, 4*m - 3*w = 644 - 191. Suppose x - m = -x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/(-20) - (-15)\/10. Are m and -36\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 629072 + -295842. Let y be (s\/(-40))\/((-3)\/(-12)*-1). Suppose 0 = 12*b - 40393 - y. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1811 * 0.5\nAnswer: 905.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -55. Let u = -36 + l. Let w be 4\/(-6)*(u + -2). Calculate the highest common factor of 88 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/4 + 2 - -10. Suppose -v - 5*h = -23, 5*v + h - 6 = l. List the prime factors of (-1 + -28 + v)*-1.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 5, -5, 1 in ascending order.\nAnswer: -18, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -177, -168, -151, -126, -93, -52?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 46*b + 1197. What is i(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -42212021 (base 5) to base 7\nAnswer: -2660664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0062076 - -15011.\nAnswer: 15011.0062076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q. Let r(v) = -3*v - 33. Let j be r(-14). Let c(k) = -37*k + j - 9. Give c(i(z)).\nAnswer: 74*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2912*w + 472 = -2971*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3463611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 4*h**2 + h. Let y be p(-2). Let t(o) = o**3 - 6*o**2 + o + 2. Calculate the remainder when 29 is divided by t(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*v = 25, -3*v = -2 - 1. Suppose -2*q + 113 = 3*h, 2*q = h - 2*h + 111. What is the remainder when q is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgwg when four letters picked without replacement from {g: 5, w: 11}?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*x + 16, 201*x - 4 = 204*x + h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((32\/4)\/(196\/(-196)))\/((-2)\/26).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*s + 140340. Let y = -28254 - s. Let j = y + -36526. Round j to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = 48. Calculate the highest common factor of 36 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**4 - 29*x**3 + 4*x**2 - 639*x + 5. Let i(b) = -b**4 + b**2 - b + 1. Let u(f) = -4*i(f) + o(f). Find the second derivative of u(r) wrt r.\nAnswer: 84*r**2 - 174*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 1. Suppose 1 = 2*a - 2*d + 5, a + 4 = -d. Let n(h) = 77*h - 3. Let y(j) = a*u(j) - n(j). Let r(t) = -t. Determine r(y(m)).\nAnswer: 83*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5792 - 1191. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:31 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257 + -264. List the prime factors of ((-18)\/(-42))\/3 - 1679\/w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8566 - 1.9. What is g rounded to 3 dps?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/4909128 and -59\/7977333.\nAnswer: 63818664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*u**4 + 23*u**4 + 160*u + 17*u**4 + 4*u**3 - u**3 - 63*u**4 - 7 to g + y*u + f*u**4 + b*u**2 + l*u**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 290*x**3 + 7*x**2 - 7*x - 197. Let r(g) = -145*g**3 - 4*g**2 + 4*g + 98. Let d(b) = 7*r(b) + 4*v(b). Differentiate d(n) with respect to n.\nAnswer: 435*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1392 divided by -3.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 17\/210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4136 + 4131. Let l = 0 - 2. Let c = 6 + l. What is the biggest value in u, -1\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w + 48 = 12. Let a(u) = 4*u**2 - 5*u + 1. Let d(q) = -q**2 + q. Give w*a(c) - 5*d(c).\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2266*w + 2265*w = i + 13, -5*i = 4*w + 63 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119606265 is divided by 1849.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * 10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110983 != 110984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25529.2 - 0.03.\nAnswer: 25529.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)*j)**(-2\/33)\/(((j**3*j)\/j)\/(j\/j**(3\/5))) assuming j is positive.\nAnswer: j**(-1297\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let g be x(2). Suppose -2*h - g*y - 11 = -5*y, -3*h + 3*y - 18 = 0. Let u(v) = -v + 2. What are the prime factors of u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 3847590.\nAnswer: 42323490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * -4.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 12:42 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 16, 23, 32?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*w = -279, 5*x - 2*w - w - 283 = 0. Let v = -60 - -149. Suppose -v*s - 184 = -97*s. What is the remainder when x is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-754)\/377*8\/10?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5566 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20435, -40180, -59925?\nAnswer: -79670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 3136986401 to the power of 1\/2, to the nearest integer?\nAnswer: 56009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 921 + -918. Which is smaller: x or 159\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4803568 and -127\/7546.\nAnswer: 33624976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 - 118.00991. What is n rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 67 = 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 166.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -1\/2*j**2 + 0 - 11*j + 1\/2*j**3. What is z(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 30 - 10. Suppose q + 2*h - 8 = 0, 0 = h + y*h - 10. Suppose 5*w + 6 - 27 = -2*a, -4*a - 4*w = -36. Solve 0*b - q*b = a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -126, -114 in ascending order.\nAnswer: -126, -114, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 d, and 1 l when four letters picked without replacement from stdsdl.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2245848*f - 8*f**3 - 2245848*f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4 = -79. Let j(f) be the first derivative of 11*f**2\/2 - 7*f - 3. What is the remainder when j(6) is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 296?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 16 + 22 - (-38 - -21 - -4).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 5 - 3)*7\/14. What is the remainder when 14 is divided by (5 - (-12)\/q)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(5*sqrt(14)\/sqrt(2) - sqrt(7)) + -3 - (1 + sqrt(847) + 4 + sqrt(847) + -1 + sqrt(847)))*6)**2.\nAnswer: 10584*sqrt(7) + 112896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in 5, -13, -9.19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24861322337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 3. Let l be (-3)\/(-6) + 15\/(-6). What is the smallest common multiple of (l\/2)\/((-2)\/22) and u(3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0*f - 344. Let a = 242 + f. Calculate the remainder when a is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, f: 1, k: 1, z: 2, q: 2, o: 11}. What is prob of sequence qok?\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0138 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15699133.8ms to days.\nAnswer: 0.1817029375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10032*p**3 - 10043*p**3 + 3*p**2 - 2 + 2.\nAnswer: -11*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 535171787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 + 19*x**2 + 842*x + 9165. What is d(-11)?\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**2 - 2155377*s + 718458.\nAnswer: 3*(s - 239486)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -341*s**3*v + 2*s**3 + 2*v**4 + 1540 wrt v?\nAnswer: -341*s**3 + 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 1. Let w be k(1). Let v(b) = b**2 - 4*b**w + 1 + 2*b**2 - b. Suppose -f = -2*n - 3 + 10, 4 = 3*f - n. Give v(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:45 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, 4, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76680, -153370, -230060, -306750, -383440?\n\"Answer: -76690*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 5*d. Solve d = 2*b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, c: 1, n: 2, d: 2, h: 6}. Give prob of sequence dwh.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2241539 = 3*d + 315854. Let s = 31895 - d. What is s rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4 + 20993*s**3 + 357139*s**2 + 651295*s + 315150 = 0 for s.\nAnswer: -15, -1, 21010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1232 + 1228 = -i - 3*l, l - 28 = 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1115*j + 1034*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 1 + 1, 2*u = 5*i - 184. Suppose -56 = -32*a + i*a. Let n = a + 39. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35440 + 35430. Is 16 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 42 - 57. Let g(t) = t**2 + 6*t + 3. Let c(f) = -f - 1. Determine v*c(h) + g(h).\nAnswer: h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in 2\/5, -2, -3, 0.023, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 242196*i - 195344464.\nAnswer: -2*(i + 812)*(i + 120286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 8\/(3 + -4). Let u = s + 2. Calculate the remainder when 34 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55481*o - o**3 + 55481*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4 - 225*q**3 + 9940*q**2 + 1054740*q + 1044576 = 0?\nAnswer: -248, -54, -1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.1 + 13.8. Let h = s - -4.3. Sort h, -7, -2\/11 in ascending order.\nAnswer: -7, h, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**3 + 1. Let o(b) = -82*b - 658. Let n be o(-8). Let h(c) = -6*c**3 + 1. Give n*h(r) + 3*v(r).\nAnswer: -3*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 26. Suppose -27 - f = -6*k. Calculate the remainder when 78 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3 - 94*d**2 + 2*d - 40 wrt d?\nAnswer: 6*d - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t + 46. Let g(d) = -6*d + 69. What is -5*g(s) + 8*j(s)?\nAnswer: -2*s + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-300*o**2 + 45 + 579*o**2 - 288*o**2)*(o - o - 3*o) + (1 - 3 + 0)*(-o**3 - o + o) to the form h*o**2 + v*o**3 + a*o + z and give a.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -28*q. Let j(s) = -5*s**2. Give v(j(m)).\nAnswer: 140*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0 + 0*t - 1\/3*t**3 - 1\/60*t**5 - 11\/24*t**4 + 62*t**2. What is the second derivative of c(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - (-22)\/(-4))\/((-2)\/(-52)). Let y = 87\/2 - t. Find the common denominator of (-3)\/(-6) + (-8)\/7 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5463 + -2?\nAnswer: 5461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1103 + -638. What are the prime factors of b?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j - 4 = 0. Let f = 2 + -4. Let b(r) = -5*r**3 + 3*r**2 + 2*r - 3. Let o be b(1). Put o, f, j in decreasing order.\nAnswer: j, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 1, q: 2, u: 1, t: 1, k: 1}. What is prob of sequence kts?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3+-1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1)*-5*(-256)\/3200.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 15*d - 135. Let d*z**2 - 81 - 24*z**2 + 42*z + 124 + 104 = 0. What is z?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -253.86.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*i - 86 + 89, -4*n + 8 = -2*i. Solve -i*u + 10 = -6*u + q, -q = -2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -22*y**2 - 12. Let z(j) = 9*j**2 + 5. Let s = 6 + -5. Let n be s*(-3)\/(-3)*-3. Let p be 27\/(3\/1) - n. What is p*z(o) + 5*h(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15870, 15881, 15892, 15903?\nAnswer: 15914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10070159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 255031546.3 to the nearest 10000.\nAnswer: 255030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -338*a**2. Let i(n) = 0*n - 305208*n**2 + 0*n + 305211*n**2. Calculate d(i(w)).\nAnswer: -3042*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 3*u**2 + 3*u + 19. Suppose 22*g - 6*g + 48 = 0. Calculate the least common multiple of 2 and b(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 7*k = -207, -79*z - 205 = -74*z + 8*k - 3*k for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 + 2*s**2 + 12*s - 32. What is the remainder when u(3) is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**2. Let r(t) = -3941*t**2. What is h(r(j))?\nAnswer: 62125924*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/2 - 1977*a**4 + 1948320*a**3 + 11761200*a**2.\nAnswer: a**2*(a - 1980)**2*(a + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 1. Let m be i(-3). Let f(o) = -o**2 - o - 1. Let l(g) = -4*g**2 + 2*g - 5. Suppose 31*y - 33*y = -6. Let k(u) = y*f(u) - l(u). Calculate k(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174 (base 14) to base 7\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1997 is divided by 636?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*m - 1287 = 624*m - 4097. Solve 172 = m*d + 167 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178961079 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 - 57 = -4*b. Let l be 130\/(-238) + b\/(-63). What is the third smallest value in 1\/4, l, 2\/21?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1850.48 and 0.039.\nAnswer: 1850.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-101206)\/12651 + (-1328)\/(-166). Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + sqrt(931) - 5*(sqrt(19) + sqrt(2736) + (sqrt(2736)*-1 - sqrt(2736))))*-2.\nAnswer: -124*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0467 take away -913794516.4?\nAnswer: 913794516.3533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*v - 3*s + 8 = -432*v, -6*s = 3*v - 27 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14 - -3) + 456\/42. Let a = -717 + 751.1. Let u = a - 34. Put -0.2, 7, u, c in descending order.\nAnswer: 7, u, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(12)\/sqrt(4) - sqrt(3)) + sqrt(3) + (sqrt(3) - (sqrt(9)*-2)\/sqrt(3)) - (2 + 3 + (sqrt(48) + sqrt(3))*5).\nAnswer: -21*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -992555 divided by 198511\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 8:43 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**3 - 84*c**2 + 9*c + 360. Let s(m) = 3*m**3 + 82*m**2 - 8*m - 360. Let i(q) = -3*s(q) - 4*y(q). Determine t, given that i(t) = 0.\nAnswer: -30, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, -1\/8, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23+206\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 45*q + 2. Let d be m(21). Let l = d + -624. Suppose -4*p = -o + 111, l - 944 = -5*o - 2*p. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/6 + 52\/(-18)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23 * 21\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.157 + -142.157. Let z = 141.99999486 + a. What is z rounded to 7 decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 5:01 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from ssssssseessssssssss.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1659099 and 0.\nAnswer: -1659099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + -1. Let q = v - -6.00008. What is q rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k - 8. Give u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10111111?\nAnswer: 11000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298.84512 days to weeks.\nAnswer: 42.69216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-1\/10))*l*l**5)**(1\/14) assuming l is positive.\nAnswer: l**(71\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 841, 1\/4, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 59, -15 in ascending order.\nAnswer: -15, 34, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/116 - -6\/29. Let f = 0.05 - 0.45. Let n(x) = -3*x**2 - 1. Let r be n(1). Which is the nearest to v? (a) 3 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 172\/144 - 2\/2 - 2\/(-9). Let b(g) be the second derivative of -5\/3*g**3 + 1\/4*g**5 + a*g**4 + 4*g + 0 + 0*g**2. Find o such that b(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 3*x - 2 + 127830*x**2 + x.\nAnswer: 127830*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158335 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -12 (c) -0.07817\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 8 = -13*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63\/8 of a litre?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12540)\/(-950)*(-10)\/9 - -14. Let t be (18\/15 - 1)*3. Put 13, -3, n, t in descending order.\nAnswer: 13, t, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 + 5*h**2 + 100*h\/3.\nAnswer: -h*(h - 20)*(h + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320543481?\nAnswer: 3, 106847827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2448) + 3)*3)**2 - ((sqrt(2057) + -1*sqrt(2057)*3 - sqrt(2057))**2 + sqrt(2057) - sqrt(2057) - (sqrt(2057) + sqrt(2057) + 0 + -3)**2).\nAnswer: -1428*sqrt(17) + 77933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -318, -324, -330?\n\"Answer: -6*r - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z**(-2)\/z))**(5\/2))**(2\/11))**(2\/45))**24 assuming z is positive.\nAnswer: z**(64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1018, 2034, 3044, 4048?\n\"Answer: -3*b**2 + 1025*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1968 and -89\/264?\nAnswer: 21648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47 + b?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -8*w + 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38187742 or 38187743?\nAnswer: 38187743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 344643, 344610, 344555, 344478?\n\"Answer: -11*s**2 + 344654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01513157 rounded to five decimal places?\nAnswer: -0.01513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-36)\/8)\/((-6)\/(-16)). Let q be (-8)\/(-12) + 11\/f. Let o = 32.365 - 32.365. Which is the fourth biggest value? (a) q (b) -7 (c) o (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -29*w**2 + 360*w - 168. Calculate q(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10979 and 74642.\nAnswer: 63663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 + (-8 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 516, 1034, 1554, 2076, 2600, 3126?\nAnswer: 3654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - x + 18 - 10 in the form u*x + j and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 353644024 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9}. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.1, 32, 0.81?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 + 4*v**3 - 7*v**2 - 5*v**3 + 7*v**2.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3668186, 3668155, 3668108, 3668039, 3667942?\nAnswer: 3667811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13546, 27090, 40622, 54136, 67626, 81086?\n\"Answer: -l**3 + 13551*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*y - 80, -y - 5*r = -8 - 12. Let l = 87 + -72. What is the greatest common factor of y and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20468, -3, -1949?\nAnswer: 20468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-36 + 1) - (-2)\/84. Let t = -0.1 - -0.1. Let f = 0.3 + -0.5. Which is the closest to t? (a) f (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 2. Let f be r(-2). Suppose d + f*d - 3 = 0. What is the units digit of 1*-38*d\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 93*l + 4863. What is d(-62)?\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -212.8.\nAnswer: -212.8, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dowwwwddowowdddoddd. What is prob of picking 2 o?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 156?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 7*c - 4*c**2 + 17*c - 9*c. Let i = -2 + 5. Give k(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15868130, 31736258, 47604386, 63472514, 79340642?\nAnswer: 95208770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(18)\/(sqrt(6) + (sqrt(36)\/sqrt(6) - sqrt(6)))) - ((sqrt(637) + -1*sqrt(637))**2 - (sqrt(325) + -4)).\nAnswer: -4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 26 - 6*o + 4*o + 0*o. Let g be i(15). What is the fourth biggest value in g, 0, 0.6, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 68.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5195955.\nAnswer: 3, 5, 346397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -141013 divided by 107\nAnswer: -141013\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 + 13) - 0 - 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 34*d + 2387 = 4475, d + 33 = -5*r + 95 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 15537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -9*o + 389. Suppose o*r = 36*r + 195. Solve -6*p = 3 - r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(405))*-4 + sqrt(405)*1 + -1 + (-1 + sqrt(405) + -5)*-1)**2 + -1.\nAnswer: -648*sqrt(5) + 6560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42864 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*g + 112*g - 163 - 17 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - -6)*(-5)\/1. Suppose -n + z + 2*z = -8, 0 = -4*n + r*z + 25. Suppose n*p + 5831515 = -11668485. What is p rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.013 + 20.913. Let i = w + -21. Which is the second smallest value? (a) i (b) 1\/3 (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmmmgagrga. What is prob of sequence mgg?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8296, 12144, 15992, 19840, 23688, 27536?\nAnswer: 31384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(-1*sqrt(4))*3)\/(sqrt(60)\/sqrt(24)*2))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39201 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 410*k**3 + 28152*k**2 - 656608*k + 628864.\nAnswer: 2*(k - 68)**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5560 (base 8) to base 9\nAnswer: 4013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6 = 0, -3*a = -3*s + 6 + 9. Let v(d) = d - 4. Let j be v(7). Solve -4*l = s*n - 8, -2*n - 16 = -j*l + l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - q + 4*g + 32, -3*g - 9 = 0. Let x(p) = -p - 43 + 93 - 42. Calculate x(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/((-4)\/20) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1738, 2, -5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z - 5*a = -90, 3*z = -a + 58. Let g = 3302.1 - 3169. Let w = -133.2 + g. Which is bigger: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/4 + 8\/(-4). Let a = 15 + x. Solve 0 = -3*n + 2*q - 1 + 3, -a = -4*n + q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16, -5, 28, 95, 208, 379?\n\"Answer: 2*u**3 - u**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1339, 11464, 39157, 93208, 182407, 315544, 501409, 748792?\nAnswer: 1066483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/77 - 73\/308. Put -4\/7, u, -4 in ascending order.\nAnswer: -4, -4\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyylyyyyyyyyll. Give prob of picking 3 l.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -115*s - 424. Let g be i(-4). Let k be (-14)\/(-6) - (-4)\/6. Suppose -3*q - k*q = -g. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from gwglbrlr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -17194665.\nAnswer: 3\/5731555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -68. Let j(t) = -t**2 - 1. Let a(w) be the first derivative of -4*w**3\/3 - w**2\/2 - 4*w - 2. Determine x*a(u) + 7*j(u).\nAnswer: u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 2*v + 3*v + (2*v - v - 3*v)*(2 - 3 + 0) + 39*v - 24*v - 34*v to the form m + g*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, 0.5, -0.3, 121?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 579 - 579.0327. What is f rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 5. Let t be w(4). Factor -8*o**5 + 5*o**5 + 0*o**3 + 6*o**5 - t*o**3.\nAnswer: 3*o**3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11907 and 231903?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5586772?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11624.7 and 0.0852.\nAnswer: -990.42444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/126096 and 5\/10508.\nAnswer: 126096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -789, -1095, -1401, -1707, -2013?\nAnswer: -2319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5184\/(-120))\/((-264)\/165).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 3*k + 14, 23*i + k = 21*i + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67870 smaller than 67874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6 - v + 3 - 6. What are the prime factors of p(-11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.02, -2\/5, 0, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23273465821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ab818 - 17a?\nAnswer: ab67c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Suppose 3*a = k, 2*q = a + 3 + 7. Find the second derivative of -c**q + 2*c + c - 2*c**5 wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14127325 (base 8) in base 5?\nAnswer: -1304043420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 4, 5, -3 in decreasing order.\nAnswer: 5, 4, 2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -21. Is v greater than 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(143) - -2*sqrt(143)) + sqrt(143)))\/(sqrt(11) + sqrt(121)\/(sqrt(11) + sqrt(55)\/sqrt(5))))**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 667 + -653. What is the remainder when (-12)\/42 - (-3294)\/14 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n - 5*s + 142709990 = 0, -2*s = 5*n + 237850004. Round n to the nearest one million.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 + 3 + 4)*(3*j - 3*j + j) + 0 + 0 - 2*j + (-2 + 3*j + 2)*(0 + 0 - 2))*(4*j + 0*j - 3*j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from uuuduuuuuuudu?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 25c?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fifi. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*m + 0*m + 16 = 0, -5*j + 3*m = 20. Let k be (42\/7)\/(6\/52). Let b(n) = n + 8*n**2 + 52 - k. Determine b(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 bigger than -1223.55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/9 (b) -20965 (c) -13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d (base 14) in base 6?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14868 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (-1*(1*sqrt(720) - sqrt(720)) - (sqrt(720) + -1)*-5) + -3)**2.\nAnswer: -108216 + 4320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*u - 42. Let v = u - -4. Let n(k) = k**3 + 10*k**2 - k + 11. Let w be n(v). What is the greatest common divisor of w and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(15\/7))**(-17\/3)\/(t**(12\/7)*t\/t**7) assuming t is positive.\nAnswer: t**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - 5 + 5)*(-3*i + i + i).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqimqiiiiimiii. Give prob of sequence im.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 265 - 188. Suppose 2*p - 20 = -2*u, 3*u + 77 = 5*p + 19. What is the greatest common factor of p and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -12. Let g(r) = -14*r + 28. Let a be g(-9). Calculate the highest common factor of o and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -965 - -997. Let x(s) = s**2 + 2*s - 7. What is the remainder when r is divided by x(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155 + 292. Let z = 229 + d. Let r = -209 + z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 4*n + 32. Let o = 22 - n. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15*((-24)\/312)\/((-3)\/(-15))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -270 + 2*r**3 + 791 - 267 - 256 - 49*r**2 + 263*r**2 to a*r**3 + n + g*r**2 + k*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25112 and 43860.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 8:30 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12992300 and 12110.\nAnswer: 90946100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2. Suppose 0 = -3*f + 5*f + 2. Let y(o) = 3 - 21*o - 2 + 22*o. Let v(c) = 12*c + 10. Let s(u) = f*v(u) + 10*y(u). Calculate g(s(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 21 = -5*x, -2*t + 4*t - 6 = 0. Let p be (7\/3 - 2)*x. List the prime factors of p\/((1\/(-8))\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 2*w**2 + 6*w - 2. Let h be j(4). Let t be h\/4 + (-1)\/(-2). Let g(x) = x**2 + x + 2. What are the prime factors of g(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 27677.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-2)\/(-6))*3. Suppose 2*w = -k, 0*j + 19 = 3*j - 4*w. Calculate the remainder when 8 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42746 and -0.1?\nAnswer: 4274.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56118763 a multiple of 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(sqrt(1584) + ((sqrt(1584) - (sqrt(1584)*2)**2)*-1 - sqrt(1584)))*2.\nAnswer: -24*sqrt(11) + 12669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -389\nAnswer: 60\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 825190*q. Let v(y) = y + 17. Give v(s(r)).\nAnswer: 825190*r + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4697528*x + 1577*x**2 - 4697528*x + 1 to w*x + z + s*x**2 and give s.\nAnswer: 1577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l\/(l*l\/((l\/l**(2\/7))\/l))*l*l**(2\/3))**(2\/57)\/((l**(-1)*(l*l\/(l\/l**(-5)))\/l)\/((l**(-1)*l)\/l)**(2\/23)) assuming l is positive.\nAnswer: l**(166058\/27531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 31.582 times -0.02512\nAnswer: -0.79333984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 - -72. Solve -4*v + 7 = 5*o - 0*o, -o - 4*v - j = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 232?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 5*g - 4. Let p(a) = 4*a**2 - 4*a - 3. Let u(q) = 6 + 6*q - 15*q**2 - 4*q - 2 + 16*q**2. Let v be u(-2). Give v*p(d) - 3*h(d).\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74267)\/(-3229) - (-3 - -1)*78\/(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -50, -111, -182, -263?\n\"Answer: -5*x**2 - 46*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**4\/8 + 31*l**2. Let s(n) = n**2 + n + 1. Let x be s(-2). Let g(o) = o**2 - x*o + 3*o. Determine u(g(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11042295 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 235 = 3*a. Suppose -v - 4*f = -21 - 1, 5*v = 2*f + 44. Suppose 75 = -7*m + v*m. Calculate the remainder when a is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -7, 4, -0.08?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 14*y**2 + 14*y - 19. Let z be r(-15). Which is the second biggest value? (a) z (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 4) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5)*1*(-905)\/20634)\/(3\/(-27))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7913289 divided by -44\nAnswer: -7913289\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-524)\/291 - (-220)\/132. Let k = 6635\/291 + a. Calculate the common denominator of ((-146)\/24)\/((-4)\/6) and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 6*p - 10. Let z(n) = n**2 - 10*n + 20. Let v be z(8). Suppose -v*o + 19 = 3*w, 5*o = -0*o + 3*w + 17. Calculate g(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11490128 divided by 2986.\nAnswer: -3848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 63.1. Let x = q + 1.1. Let y = x + -5. Which is the smallest value? (a) y (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 441684 and -9790.\nAnswer: 431894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35953 - -35952.9. Let w be (18\/(-14))\/((-8)\/14). Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:10 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 864 and 3008.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 10263156606?\nAnswer: 10263156610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 501 - 491. Let i(a) = 3 + 2*a - 8 - 5 + d. Let u(k) = -2*k**2 - 6*k. What is u(i(q))?\nAnswer: -8*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 1)*(0 - 1). Suppose 2*n = 3*c + 16, 0 = 2*n + n + c - q. Differentiate l**2 - 3 - 2*l + 0*l**n + 2*l wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -306521201 - -1?\nAnswer: -306521200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -3 (c) 0 (d) -0.3 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/1532122 and -11\/57?\nAnswer: 4596366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1933, 7584, 22931, 52822, 102105, 175628, 278239, 414786?\n\"Answer: 808*l**3 - 5*l + 1130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 44*o - 129. Let n be g(3). Let z(h) = 7*h**3 + 6*h**2 - 5. Let v(k) = -6*k**3 - 5*k**2 + 4. Give n*z(l) + 4*v(l).\nAnswer: -3*l**3 - 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 + 270 = -11*j. Find the common denominator of (-21)\/(-2)*(-7)\/j and -7\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w*w**(-16\/5))\/w)*w*w\/((w\/w**(2\/17))\/w))**(-44) assuming w is positive.\nAnswer: w**(-19888\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 591625738 + -33?\nAnswer: 591625705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 6) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005*i - 32793 = -5658 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17713061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, b: 2}. What is prob of sequence bb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -193+-123523404984\nAnswer: -123523405177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdicqdiiciqqcz. Give prob of picking 3 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 3338261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, 3, -20, -73, -168, -317, -532?\n\"Answer: -2*c**3 + 3*c**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 0, 1, 3\/832?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 7*l - 5. Let q = -23 + 18. Let z be d(q). Solve -3*m + z = -4*p, -7 = 3*p - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyttytyyytyttttttty. Give prob of picking 1 y and 2 t.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 32. Let u = g - 13. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.3283kg in tonnes?\nAnswer: 0.1533283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2581, -5098, -7615, -10132, -12649?\nAnswer: -15166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.1 + 25. Let r = 1.1 - -0.9. Put f, 0.1, r in descending order.\nAnswer: r, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 0 + (3 + -10 - (-37 + 52 + -23)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 21. Let s(n) = -n**3 + 9*n**2 - 8*n - 3. Let y be s(q). Is 7 a factor of 2 + (y + 13)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-8)*(-161572)\/28666?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-3)\/(-2 - -5). Suppose u = -0*f - 3*f + 348960. Suppose -2*t - 97680 = f. Round t to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440528 a multiple of 696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-1\/6)\/(p**(-2)\/((p\/(p\/(p*p**(-3))))\/p))*(p*p**(-2\/7)\/p)**(-14\/5)*(p**(-3\/7)*p)\/p*p\/p**(-2\/5) assuming p is positive.\nAnswer: p**(27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 8 + -4 + 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 31046693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -3. Suppose 0 = 3*l - 2*l - 153. Let x = l + -102. What is the remainder when x is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + y + 13. Let c(t) = 2*t**2 + 12. Determine 3*c(a) - 2*f(a).\nAnswer: 2*a**2 - 2*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 10:58 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -s - 18, -8 = -u - 3*s - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -74073764 rounded to the nearest 1000000?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30193\/10745 - 82\/307. Let h be 599\/(-76 + 4 - -2). Let c = h - k. What is the common denominator of c and -9\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 9 = 2*g, -5*b = 17 - 2. Let l be 8\/(-12) - (-8)\/g. Suppose 0 = -5*c + 4*t + t - 10, 3*c = l*t - 4. Solve -v = -c*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13359 + 13360. Let w(l) = 16*l - 21. Let t(a) = -175*a + 230. Let j(f) = -4*t(f) - 45*w(f). Let i(m) = m - 1. Give u*j(q) + 25*i(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 214 and 321.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -14*p**2 - 6*p - 2. Calculate s(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-18) + ((-4)\/(-9) - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -220.8 - -221. What is the closest to 0 in -5\/7, -0.048, x, 4?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-1*sqrt(133) - sqrt(133) - sqrt(133) - sqrt(133))*5 + (sqrt(133) - 1*2*sqrt(133))))\/(((sqrt(70) + 1*sqrt(70) + sqrt(70))*3)\/(sqrt(20)\/sqrt(2)*6)).\nAnswer: -42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = -12. Let j = -86 - -90. What is the common denominator of -71\/2 and -1 + j + m\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 + -1883\/13. Which is smaller: c or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxl when three letters picked without replacement from fllfffllfllfllllxll?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2375?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + h = 3*l, -l - 7 = -4*h. Let z = -3967\/11 + 361. Let a = -23\/33 + z. Is a greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12 = -0*h - 4*k, -5*k = 2*h - 6. Suppose 0 = -m - t - 3 + 9, -m + 2*t = -3. Is h < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7*-102500\nAnswer: 717500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let j = w + -3. Let s = -5 - -3. What is the smallest value in s, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20439*p**3*z**3 - 2*p**3*z - 14942*p*z**3 - 70951929*z**2 wrt z?\nAnswer: 122634*p**3 - 89652*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2065420?\nAnswer: 2, 5, 7, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t + 8*t - 11*t. Let s(a) = 9*a**2. Determine s(y(v)).\nAnswer: 225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4985*u + 35036. What is v(7)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 567, 834, 1081, 1302, 1491, 1642, 1749?\nAnswer: 1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 l, 1 e, and 1 h when four letters picked without replacement from {l: 2, e: 7, y: 2, h: 2, r: 2, k: 1}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/16*2)\/((-46)\/(-449696)*-26))\/(-1).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**3 + 7*g**2 + 9. Let o(a) = 3*a**3 - 3*a**2 - 4. Let n = -66 - -64. What is n*x(v) - 5*o(v)?\nAnswer: -v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**8\/168 - 22*d**7\/105 + 59*d**5\/60 + 5*d**2 + 1. Find the third derivative of n(l) wrt l.\nAnswer: -120*l**2 - 1056*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04941 and 3.\nAnswer: -0.14823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1191818 - -694120. Let a = -1345938 + o. Suppose 15*g - 16*g + a = 0. Round g to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -3)\/(2 + -3). What is the tens digit of (-3870)\/(-20)*(r - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(171) + 1 + 3 - (sqrt(171) + -1 - sqrt(171))*2)**2 + 1*sqrt(171)*-1 + 2 + (1*sqrt(171) - sqrt(171)) + -1 + 2).\nAnswer: -210 - 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(20)\/sqrt(5)) - sqrt(13) - sqrt(13)) + -5 + sqrt(39)\/sqrt(3) - ((-1*sqrt(117))\/sqrt(9) + 5 + -3).\nAnswer: -7 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20969575.\nAnswer: 5, 11, 76253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31277, -125118, -281521, -500486, -782013?\nAnswer: -1126102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -229*p**2 - 11681*p - 101. Give b(-51).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 3)*(-b + 3*b - 3*b) - 13*b + 2*b + b + (-b + 1 - 1)*(2 - 2 - 2).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, h: 2, a: 1, l: 1, e: 1}. Give prob of sequence hl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 + 0.07. Let u = n - -2.94. Let r = 0.1 - 0. Sort u, r, 1\/3 in ascending order.\nAnswer: r, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -323 + 318. Is 21 a factor of ((-8700)\/24)\/j*(-8)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347983.\nAnswer: 7, 13, 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2177047943?\nAnswer: 7, 31, 47, 113, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17465 - (16\/(-36) - (-1066)\/(-234)).\nAnswer: 2, 5, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2042 is divided by 202.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 13222103?\nAnswer: 13222033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 h, and 1 p when four letters picked without replacement from {e: 7, h: 2, p: 4}.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**3 - 4*m**2 + 2*m. Let j(r) = -56*r**3 + 11*r - 111*r**3 + 183*r**3 - 20*r**2. What is 11*b(i) - 2*j(i)?\nAnswer: i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 20. Let s be -1 + i\/(-1 - -2). Suppose 5*p - 3*c - 14 = 0, p + 5*c - s = -0*p. Solve -2 = -p*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 5:07 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228 - 68 + 12599*f - 80 - 12599*f - 80 - 27*f**3.\nAnswer: -27*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14666471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 15*r = -19930. Is r\/6 + (-2)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 12*c - 6. Let d = 7 - 2. What is the remainder when l(d) is divided by (-136)\/(-14) + 2\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493 less than -9.6?\nAnswer: -2502.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/(-2) + (-3)\/6. Let g(v) = -v + 3. What is the units digit of g(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 3 + 0 + 5*a. Suppose -4*p + 4*w + 8 = 0, -4*p + 13 = -0*p + w. What is the units digit of r(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i**2 + 4*i. Let a be w(-3). Suppose -5*n = -24 - a. Suppose -s - 4*s - n = 0. Is -4 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -22) + 1 - (-7 + 10 - -42).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 318313 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 5:11 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*f + 3*f**4 - 190*f - 162*f**3 + f**2 - 102*f - 105 + 409*f wrt f?\nAnswer: 36*f**2 - 972*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 248766 - 164833. Suppose z = -6*t - 68467. Round t to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -46, -226, -584, -1180?\nAnswer: -2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 1. Let n be h(3). Suppose 6*z - 2*z - 31 = u, 0 = n*z - 4*u - 26. What is the units digit of (-2)\/z - 86\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -11804233*i. Let a(n) = 46*n**2. What is b(a(w))?\nAnswer: -542994718*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368062371 divided by 375191.\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 19. Let z(g) = 13279*g - 6636*g - 8 - 6642*g. What is z(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 4*p**4 - p**4 + (3*p**3 - 2*p**3 - 3*p**3)*(0 + 0 + 2)*(-348 + 81*p + 348).\nAnswer: -322*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/(-26)*7\/(-77)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1570.437 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-54)\/72)\/(1\/(-8)). Solve -10 = -4*s + u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**2 + 105*l**2 - 2 + 2.\nAnswer: 115*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 271594 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - 41*k**2 - 24*k + 28. Let n be v(-20). Let x = 136 - n. What is the lowest common multiple of x and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -2 + 13 + 0 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*q**5 - 35*q**4 + 12*q**3 - 471937*q**2 wrt q.\nAnswer: 960*q**2 - 840*q + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 20 and -606075384.\nAnswer: -606075364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 885223 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/12 - 5*h**3\/6 - h**2 + h. Let i be o(-2). Suppose f - 10 = -i*f. Solve -f*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/((sqrt(4) - sqrt(196))*5))\/(2*sqrt(1296)*1).\nAnswer: -sqrt(5)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1077 - -1713. Suppose -y = -31*k + 29*k. Does 53 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1 + 0)\/(-2))\/(4\/(-192)). Solve 0 = -4*j + 5*d - 25, 0 = -19*j + n*j - 3*d + 28 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-164)\/6 + 8\/(-12). Let r = -3 - -60. Let y = d + r. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140344433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from kkakkkkkkkkk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 0 + 0*n + 8 + n - 2*n. Let z be s(6). Suppose -1 = -q, 6 = -2*g + 4*g + z*q. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 14.1. Put u, -4, -2 in decreasing order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0235 - -2.6535. Let u = d - 6.63. Which is the closest to 2\/9? (a) u (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/33)*w)\/w*w\/(w\/(w*w\/(w*w*w*(w**(1\/10)*w)\/w*w)*w))*w*w)**(-1))**(21\/5) assuming w is positive.\nAnswer: w**(-2219\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.54 to the nearest integer.\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2760784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -48402b (base 12) in base 15?\nAnswer: -1811c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -4. Let t = u + 0. Let f = -1.8 + -0.2. Put t, 0, f in decreasing order.\nAnswer: 0, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -0.5, 3.9, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2629.4626 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8775\/(-272025) - 2946\/(-31)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 15*g**2 - 4*g - 17. Let p be k(9). Suppose -5*r = -4*z - 379 + 3002, 4*z - 4*r = p. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -11) + 0 - -9 - (7 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52345 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 26 + 18 = 0. Suppose -30 + 10 = 5*x. What is the units digit of x\/14 - c\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ipisppsscq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express g - g + 2*g**3 + (-23*g**2 + 17*g + 24*g**2 - 7*g + 12*g**3)*(-2 - 1 + 1) in the form m*g**3 + t*g + x + d*g**2 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1932 - -938. Does 35 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c - 213. Let g(x) = 3490*x - 6. What is m(g(t))?\nAnswer: 6980*t - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 - f**2 - 3*f - 1. Suppose -1 + 10 = -9*w. Let c be p(w). Let b = 15 + c. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 597*s**2 + 7. Let v(y) = -59*y**2. What is r(v(l))?\nAnswer: 2078157*l**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113351732 is divided by 649?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 71 - -2?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a57 (base 15) to base 10.\nAnswer: -2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1277*m - 1274*m - 1284*m + 3850*m - 91*m**3.\nAnswer: -91*m**3 + 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -493*d*x**4 + 120*d*x**2 - 122*d*x + 1811*d + x**2 wrt x?\nAnswer: -5916*d*x**2 + 240*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (-1*sqrt(11) - sqrt(11)) + -5)*-4)**2.\nAnswer: 128*sqrt(11) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*y**5 + 17871*y**3 + 45679*y.\nAnswer: -120*y**3 + 107226*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/sqrt(28) + sqrt(17) + ((-1*sqrt(17) - sqrt(17)) + 5)**2.\nAnswer: -37*sqrt(17)\/2 + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**2\/5 - q\/5 - 42\/5 = 0.\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 21 - 2 = 2*p, 0 = -70*p - 3*x + 569 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 15*h**2 + 103*h + 379. Calculate d(-19).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 3\/(-4) + (-675)\/(-36)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 195*j + 199*j = 33, -j + 7 = 0. Put v, -4, 3, -80, -10 in ascending order.\nAnswer: -80, -10, -4, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o + 3*u = 401 + 427, o - 1205 + 1181 = u for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c**2 + 797*c + 352. Determine a(89).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - -4. Let w = -25 + y. Let b be 8\/6*((-5844)\/488 + 12). Which is greater: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44772269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 346*o**5 + 43*o**2 + 1.\nAnswer: 20760*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1 + 2 = 2*u, 0 = 4*z + u - 4. Let g be ((-2)\/((-6)\/21))\/z. What is the greatest common factor of 28 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 5:28 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 11) to base 5\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 17444.\nAnswer: 34888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -13668998*v. Let y(x) = -4*x**2. Give s(y(b)).\nAnswer: 54675992*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*c - 16. Let d(o) = -o**2 + 17*o - 14. What is the remainder when d(14) is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540) + (sqrt(540) - 3*sqrt(540)) + sqrt(540) + sqrt(60))\/(4*sqrt(108)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 535074167 less than 535074166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z. Let d(q) = 283*q. Let a(f) = 255*f. Let j(v) = 5*a(v) - 6*d(v). Determine j(h(u)).\nAnswer: 1692*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19908 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -12. Let z be ((-3)\/(-11))\/v*-2. Let j = -5.4 + 5. Put 2, j, z in decreasing order.\nAnswer: 2, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*k**3 + 2751*k**3 - 11317*k**3.\nAnswer: -8024*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 8*v**2 + 8*v + 94. Calculate k(-10).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5805495 is divided by 599.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 4. Let w = -1.1 + k. Suppose p - 6 = -2*p. Which is the second biggest value? (a) w (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3611, -14435, -32491, -57791, -90347, -130171, -177275, -231671?\nAnswer: -293371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.47873346 + 104\nAnswer: 103.52126654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 2)\/((-31)\/((-1767)\/12)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 3045611?\nAnswer: -3045574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 2*u**2 - u**2)*(10*u**2 - 15*u**2 - 18*u**2) + (-3*u - 3 + 3)*(-u**3 + 0*u**3 - u**3) - 2*u**4 + u**4 + 3*u**4.\nAnswer: 54*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88257 and 52779.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15077376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1.05 (b) -2\/15 (c) 2\/3 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*n - 4 = 0, -4*n - n = -20. Does 19 divide (w\/4)\/((-1)\/(-38))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457170 divided by -3?\nAnswer: 152390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13023, -25877, -38795, -51813, -64967, -78293, -91827?\nAnswer: -105605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*x**3 + 7*x**3 + 17*x**3)*(1 + 1 - 1)*(-3*x + 4*x - 4*x) to the form d*x**3 + h*x**2 + n*x + i + o*x**4 and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*x - 16 = 0, -t - 4*x = -0*t + 3. Suppose 2 = -4*g - 230. What is the remainder when 3\/(-6) - g\/4 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -133 and 26100.\nAnswer: -3471300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -243 divided by 9\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**6 - 8*g**4 - 134*g**3 - 3*g**2 + 3285*g + 2.\nAnswer: -120*g**3 - 192*g - 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2 + 84*f + 5. Let u(w) = -5*w**2 - 82*w - 6. What is 4*p(j) + 3*u(j)?\nAnswer: 5*j**2 + 90*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*m + 29. Suppose 2*y = 3 - m. List the prime factors of -12*(-1 + y\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6664694357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(192)*3)**2.\nAnswer: -384*sqrt(3) + 6928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + y, -4*h - h - 4*y = 0. Suppose 0 = -v - 3*b + 7, -4*v + 3*b - 4 = -2*v. Let n be (-1 + v)*(-2)\/4. Is h greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 30 = 14*o. Let k(l) be the first derivative of 4\/27*l**3 + 0*l + 0*l**2 - o + 1\/18*l**4. Solve k(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3\/q)\/(q*q**(11\/2)))\/(q**(-1\/4))**18 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*g - 754 + 26418. Let y be 2606\/6 + (-4)\/(-6). Let v = g - y. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117476706 divided by -39158902?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 20514494?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 6*v. Let q(y) = -4*y**2 - 5. Let u(m) = m**2 + 1. Let o(g) = -q(g) - 5*u(g). What is k(o(d))?\nAnswer: d**4 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168816.\nAnswer: 2, 3, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 163\/(-3)*(-230716)\/120. Let v = 104461 - a. What is the common denominator of -47\/30 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 28. Let o = -4 - b. Let m = 3785\/6 + -631. What is the smallest value in -2\/5, -0.5, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wexyvzz. What is prob of sequence xe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 9) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 5, -26 = 5*w - 5*m + 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 63.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15653 + 15733. Calculate the remainder when c is divided by 59.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 852, -2, 5, -1, 4 in ascending order.\nAnswer: -3, -2, -1, 4, 5, 852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -6b?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -l - 223, -3*k - l + 0*l = 168. Let j = k + 120. What is the remainder when j is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1876 divided by -5?\nAnswer: 1876\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.1 + 25. Let k = -0.02 + -2.98. What is the closest to q in 4, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789219 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1\/(0 - 12\/(-17148))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 43. Suppose 3 - 111 = a*z. Let c be (z\/(-27))\/((-4)\/(-30)). Put 0, c, -11 in increasing order.\nAnswer: -11, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 10:28 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(294) + 2*sqrt(294)*2 + sqrt(294) - sqrt(294))\/((sqrt(240)*-2 + sqrt(240))\/sqrt(5))*2.\nAnswer: -35*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3469 divide 7732064431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*d**3 + 118*d**2 - 118*d**2)*(-3 - 2*d + 3) to the form g*d**4 + v*d**2 + z + k*d**3 + w*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*k**3 - 50 + 17*k**3 - 253*k + 230*k**2 - 7*k**3 + 19*k**3 + 18*k.\nAnswer: 5*(k - 1)*(k + 5)*(11*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 138?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 95045.32km in micrometers?\nAnswer: 95045320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = -60. Let l = j + -3. What is the remainder when l is divided by 2*-1*(-15)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023122 (base 4) in base 5?\nAnswer: 123301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29856876.\nAnswer: 2, 3, 7, 50777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 + (-68)\/(-8))*-14. Let d(n) = -16*n**3 + n**2 - 13*n + 7. Let a(g) = -11*g**3 + g**2 - 9*g + 5. What is w*a(c) + 5*d(c)?\nAnswer: -3*c**3 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 6:58 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22615 - 22109. Which is smaller: n or 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/179? (a) 5\/2 (b) -4\/9 (c) -176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.1184513 days?\nAnswer: 10234.19232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30813, 30811, 30797, 30765, 30709, 30623, 30501, 30337?\n\"Answer: -r**3 + 5*r + 30809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -16 + (-1)\/((-2)\/6). Let b = -10 - n. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -6, 14, 56, 126?\n\"Answer: a**3 + 2*a**2 - 9*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 719006935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 + (3 - (-2 - (-16 - -5)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -279*u + 278*u - u**2 - 16*u**4 - 3 + 2*u**4 to the form f*u**2 + o*u**4 + j + x*u**3 + n*u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*f - 21, -19 = -q + 3*f + 2*f. Let x = 9 + -7. Let o = x + 2. Sort o, q, 0 in ascending order.\nAnswer: q, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90270 is divided by 3009.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-108)\/(-405))\/((10\/(-5))\/(-20)))\/(-38))\/(-2)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 5:27 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1) - 6\/3. Let a = -1.04 - -1. Let m = 0.46 - a. What is the third biggest value in o, 2\/9, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/2)\/(-2))\/((45\/32)\/(1405\/1124)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3514 + -3514.4. Sort -2, h, -320 in decreasing order.\nAnswer: h, -2, -320","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 (base 10) in base 14?\nAnswer: c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 2*x**3 + 2*x**3)*(-2 - 2 + 0)*(-3 + 1 - 2).\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 17. Let x be 21\/4 + (-6)\/o. Let y(j) = -j**3 + 11*j**2 - 13*j + 6. What is the remainder when y(x) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g - g - 7*g + g**2 + 0*g + 12. Let o be c(9). What is the closest to 0 in -0.4, -4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -212*s + 40578. Calculate y(193).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z. Let q(p) be the third derivative of -p**7\/252 + 13*p**5\/30 - 24*p**2. Let o(n) be the third derivative of q(n). Give o(k(a)).\nAnswer: 60*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 6 - 19 = 4*p, -6 = -3*u + 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/977042 and -85\/266466.\nAnswer: 2931126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109914.\nAnswer: 2, 3, 7, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 624391751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -19*f**2\/2 - 29. Let i(y) = 3*y. Give o(i(u)).\nAnswer: -57*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 11 = -15. Let s(z) = -5*z**2 + 4*z + 2. Let u(q) = -13*q**2 - 9*q. Let r(j) = 7*j**2 + 5*j. Let h(t) = -11*r(t) - 6*u(t). Give x*h(b) + s(b).\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k - 7. Let i(m) = 0*m**3 - 4*m - 2 + m**3 - 1. Let s be ((-4)\/7)\/((-48)\/(-168)). Let x be i(s). Let c(n) = 2*n - 3. Give x*a(p) + 7*c(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -127\nAnswer: 3\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414432840 is divided by 207216418.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from ntannfunfnf.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12886587 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-6))\/(1\/(-24)). Let g be r*(3 + 33\/(-9)). Let c(u) = -2*u - 6. Let m be c(-5). Solve m*o = 4*d - 8, -3*o + 28 = -4*d - g*o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11163 + 11198. Put 0, 51, -1, i in decreasing order.\nAnswer: 51, i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -r + 12, 3*y - 7 = -2*r + 3. Suppose -c = y*c - 15. Let p be c\/2 - 2\/(-4). Solve p*n - o = 4, -4*n + 2 = -o + 3*o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssisnnzyisisysysmy?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-2\/3)*u)\/u)\/u*u**1)**23*(u**(2\/3)*u)**(-1)\/(u*u\/u**(1\/4))**(-7\/9) assuming u is positive.\nAnswer: u**(1369\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2 - 32*p = 0. What is p?\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*2 - (-11 + 7)) + -4. What is the lowest common multiple of 116 and 17\/((-102)\/(-72)) - (a + 0)?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -456 + 0?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**3 - 44166*w**2 + 1560 + 29*w - 25*w + 44408*w**2 wrt w?\nAnswer: -12*w + 484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1496.7 and -0.3?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/3, 4, 2\/13, 23, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/37? (a) 0.3 (b) -0.3 (c) -0.1 (d) -5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5857*w**4*y - 2*w**4 + 5*w**3*y + 37*w**3 - 1160*w**2*y + 1873*w**2 wrt w.\nAnswer: 140568*w*y - 48*w + 30*y + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/15 + 11\/30. Let x = -682045 + 682044.9. Let s = 3 + -2. What is the nearest to s in -2, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*i - 14 + 42, 5*g = -i + 25. Let f(s) = -2*s**3 + 3*s**2 + 4*s. Let r be f(g). Round r to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - -15.5. Let w = -13 + h. Which is the nearest to 0.7? (a) -4 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*i - 20, -d + 0 = 5*i - 20. Suppose 0 = 80*f - 90*f - 50. Sort i, f, 5 in decreasing order.\nAnswer: 5, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-4))\/(6*(-2)\/4). Let o(k) be the first derivative of 3*k - k**3 - 3\/4*k**4 + 1 + i*k**2. Solve o(b) = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.208 - -128.388. Let m = y - 116. Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 5423 in descending order.\nAnswer: 5423, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -534075.\nAnswer: 1068150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 419964636 and 1794.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -75. What is the common denominator of (-3)\/(-9) - m\/(-5) and 41\/25?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -426*g - 3945. What are the prime factors of s(-46)?\nAnswer: 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 19*j + 27. Let b be h(-14). Let l = b - -133. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let m(v) be the first derivative of -v**5\/60 - 4*v**3 + v**2 + 13. Let g(y) be the second derivative of m(y). Determine a(g(l)).\nAnswer: -l**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 22*r**4\/3 - 4*r**3\/3 - 286*r**2\/3 + 316*r\/3 - 16 = 0.\nAnswer: -4, 2\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26206 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 = -59*r + 217 - 362 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/2 - 4. Let l(h) = -2*h**2 + 11*h + 5. Let t be l(6). Let j = 71.1 + -71.3. Put t, -5, z, j in decreasing order.\nAnswer: z, j, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131127360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.725 - -4.\nAnswer: -1.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4052, -7985, -11918, -15851, -19784?\n\"Answer: -3933*f - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/685399 and -193\/1869270.\nAnswer: 20561970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12844992 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + d + 64 = -4*v, 0 = -v - d + 62. Let l = 129 + -87. What is the greatest common divisor of v and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 3*f**2 - 3*f**2)*(0*f**2 - 4*f**2 - 3*f**2 + (1 - 1 - 1)*(f**2 - 4*f + 4*f))*(-6119*f - 4 - 4 + 6114*f).\nAnswer: -80*f**5 - 128*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/1288742 and 68\/219.\nAnswer: 3866226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)\/(s\/(s\/(((s**(-4\/7)*s)\/s)\/s))*s))\/(s**(1\/2)\/s)**(-2))\/((s*s**(2\/9)\/s*s)**(-3\/4)\/(s**(2\/5)\/s*s\/(s\/s**(-6)))) assuming s is positive.\nAnswer: s**(-4247\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430\/22589 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8905 - 8905.2. Which is the nearest to 0.037? (a) 0.3 (b) m (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 13*j = -12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j**3 - 2*j**2 - 9*j - 8. Let t(v) = 3*v**3 - v**2 + v + 1. What is q(n) + 9*t(n)?\nAnswer: 33*n**3 - 11*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43512, 86894, 130146, 173262, 216236, 259062, 301734?\n\"Answer: -y**3 - 59*y**2 + 43566*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from koakkoaqakkkakk. Give prob of sequence oqoa.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4990, 5731, 6968, 8701, 10930?\n\"Answer: 248*z**2 - 3*z + 4745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 968.4413 minutes in seconds?\nAnswer: 58106.478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 921, 1850, 2787, 3738, 4709?\nAnswer: 5706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 9*u - 84 = 0. Let v be u - (-3 - (-7 - -4)). Let t be (v\/12)\/7*-12. Solve -4*f = 2*q + 30, -3*q = -t*q + 3*f + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/117, -0.3, 5, 0.2.\nAnswer: -0.3, 2\/117, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (22*(-1)\/(-164))\/(5\/110) - 3?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d. Let u(g) be the third derivative of -53*g**5\/60 + 121*g**2. Determine u(m(j)).\nAnswer: -477*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16185331871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7645136 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181575 by 9.\nAnswer: 20175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -101536, -102105, -103648, -106651, -111600, -118981?\n\"Answer: -81*y**3 - y**2 + y - 101455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489 = -5*s + 1209. Suppose 18*l + 560 = 53*l. What is the greatest common factor of s and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/52536 and -149\/17410908.\nAnswer: 383039976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2416*l**2 + 3*l + 3. Let w(a) = -2415*a**2 + 4*a + 4. Determine -4*c(k) + 3*w(k).\nAnswer: 2419*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1291\/12 - 355\/3. Find the common denominator of ((-6)\/45 - 0)*155 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33952641*a**3 + 16975346*a**2.\nAnswer: 203715846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174 + 175. Which is the second biggest value? (a) -0.4 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 6:23 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2244 divided by -6?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + -0.05238?\nAnswer: -0.06238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166*h**3 + 254*h?\nAnswer: -996*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u*u**(-1\/31)\/u*u)\/u*u*u)\/u)\/((u\/(u\/(u*u\/(u\/u**(1\/5)*u))))\/u)*u**(9\/4)\/(u\/(u\/u**(2\/41))*u) assuming u is positive.\nAnswer: u**(126311\/25420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.08.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -506, -84, 340, 766, 1194?\nAnswer: 1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3332 divide 449307724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74986870.\nAnswer: 2, 5, 7, 1071241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*h**2 - 5959*h\/2 - 1560.\nAnswer: -(h + 80)*(74*h + 39)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9182?\nAnswer: 2, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6486 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*k + 211 - 107 - 105.\nAnswer: 62*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*c**3 + 2171*c**3 + 330*c**3.\nAnswer: 2120*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (21 - 9)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, z: 2}. What is prob of picking 3 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 502, 997, 1492, 1987, 2482?\n\"Answer: 495*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/122 and 49\/10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.203474 millilitres to litres.\nAnswer: 0.000203474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164298 + w**3 + 328608 - 8*w**3 - 164310 - 7*w**3.\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936126547 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 19 + u - 2 + 5. What is the remainder when f(-9) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-64)\/12 + 2. Let a = -104 + 93. Put y, a, 0.4 in descending order.\nAnswer: y, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f + 54. Suppose -t - 3 = 2*p - 30, -p = -4*t - 18. What is the tens digit of r(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.87 - -9.672. Round w to two decimal places.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 487 and 61.25661449.\nAnswer: 548.25661449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11872.2 times 0.1?\nAnswer: 1187.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -24*q**3 - 7*q**2 + 88. Let a(g) = -8*g**3 - 2*g**2 + 29. Let o(f) = 7*a(f) - 2*i(f). Differentiate o(d) with respect to d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -20*u. Suppose -22*h + 2*k = -23*h + 27, u = -h + 2*k + 7. Let t = 19 + -13. Calculate the remainder when h is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9765.\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-12)*(-2)\/16. Let t(q) = -q**2 - 7*q + 4. Let g(h) = h**3 + 2*h**2 + 2. Let o be g(-3). Let n be t(o). What is the nearest to 0 in k, -6, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*k - 8*k + 2*k - 4*k + 4*k - 2*k + (k + k + 0*k)*(0 + 1 - 3))*(-186*k**3 + 377*k**3 - 207*k**3).\nAnswer: -288*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*t - 112 + 2424 = 0 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2542 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 - 5*b**4 - 3*b**4 + (855 - 855 - 64*b)*(-b**3 + 2 - 2).\nAnswer: 56*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/(1\/18). Suppose w = -2*a, 4*g - 5*a - 113 + 10 = 0. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than 13662\/1693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/341 and 65\/198.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 4*b - 4. Let d be j(5). Let x(u) = u**3 - 16*u**2 - u + 16. Let h be x(16). Solve 0 + d = -4*y + 5*t, h = y + 5*t + 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-5)*55\/47740*31\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(5\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + 3*c + 1 + 3*c)*(267*c + 3162*c + 163*c) - 3*c**2 + 2*c**2 - c**2 in the form l + z*c**2 + m*c and give m.\nAnswer: 3592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6334*n**4 + n**2 + 1411*n.\nAnswer: -152016*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57473 by -13.\nAnswer: 4421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-2\/9))\/(g**(1\/4)\/g)*(g*g\/(g*g*g*g**(-2\/13)*g*g))\/g**3 assuming g is positive.\nAnswer: g**(-1345\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 15 = 2*b - 7*b, 5*b = 5*o + 15. Suppose i + o - 2 = 0. Suppose 52 = 4*f - 5*q + q, 3*q - 6 = -i*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2054*l + 2063*l - 12312*l**2 - 4119*l to t + m*l**2 + i*l and give m.\nAnswer: -12312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.8 + 7.1. Suppose 3*l + 8 - 38 = 0. Let s be l\/35 - 74\/112. Put -3\/2, f, s in decreasing order.\nAnswer: f, s, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(228) + -3*sqrt(228)*6 + sqrt(228)))\/(-5*sqrt(108)\/(3*sqrt(9))).\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:25 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 26*j - 45. Let w be (-4)\/(-12) - 129\/9. Let s be d(w). What is s rounded to the nearest ten?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98014 is divided by 19599?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 97779187 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022120200022021 + 12?\nAnswer: -2022120200022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q + 6 = 19*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 19*t**3 - 4*t**2 + 2*t. Suppose 14*d - 12 = 8*d. Let k be w(d). What is the greatest common divisor of 105 and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 19, -16, 4, -148, 2, 5, -3 in increasing order.\nAnswer: -148, -16, -3, 2, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + d**2. Let n be w(0). Suppose j = -2*j - 3*u + 3, 5*u = -10. Suppose 42 = j*r - n. Calculate the remainder when r is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(10\/45). Suppose -61 = -12*m - 1. Suppose 11*b = 10*b + 4. What is the second smallest value in 1\/2, b, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 5:19 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 367 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**2 - 31*k - 5. Let a be b(-5). What are the prime factors of a + 2 + (0 - -201)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 15612, 2, -1, -4 in ascending order.\nAnswer: -4, -1, 0, 2, 3, 15612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -582*c - 20. What is the units digit of v(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194488 divided by -97244\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 2*v + 3 + 12.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d - 119 = -93 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 3*g - 1. Let h be l(4). Let p be 2*((-20)\/8 + 2). Suppose -4*b + 12 - 1 = 5*s, -5*b + 4*s + 24 = 0. Sort h, p, b in decreasing order.\nAnswer: b, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s - 605 = -4*r, 0 = -3*r - 3*s + 453. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -2)*(-6 + (-17)\/(-2)). Suppose 5*i - 3 - 2 = 0. Suppose -z + i = j + 3, -3*j + 14 = -z. Solve 0*k - 10 = j*a + w*k, -4*k = a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -2\/15, 3\/4, -1530, -2\/33?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**2 + 7. Let q(o) = -o + o - 7*o. Let d(b) = 7*b. Let r(t) = -3*d(t) - 2*q(t). Determine s(r(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1000000?\nAnswer: 1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3467*h - 148 + 151 + 786*h as i*h + o and give i.\nAnswer: -2681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3271\/2 + -1636. Which is the closest to 0? (a) -0.4 (b) 22\/7 (c) 5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -232.\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:53 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 505.9 + -475. Let h = 24 + -55. Let k = w + h. Which is smaller: -6 or k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 45 (c) -0.4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 0*c**2 + c**2 - 7 - 2*c + 3*c. Let l = -48 + 48. Give d(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394*0.14.\nAnswer: 55.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (6 + -2 - 10 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4757 is divided by 67?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.756 from 111.\nAnswer: 110.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.182 + 0.6.\nAnswer: -22.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*x**3 + 912*x**2 + 1092*x + 88.\nAnswer: -4*(x - 11)*(x + 1)*(23*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, 0.5, -4\/49, 58, 4 in increasing order.\nAnswer: -1, -0.3, -4\/49, 0.5, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**4\/4 + 13*f**3\/3 + f**2\/2 - 4*f + 1. Let r be c(-13). Let u = r + 29. Solve -3*k = k - u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/18*(-2)\/(-2)*-2. What is the third derivative of 5*w**2 + 2948*w**4 - w**3 - 2 + 0*w**n + 2*w**3 - 2936*w**4 wrt w?\nAnswer: 288*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12076296.8 rounded to the nearest one hundred thousand?\nAnswer: 12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j + 9. Let p(g) = -g + 1. Let n(y) = 5*a(y) - 40*p(y). Give n(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (228\/8)\/((-51)\/(-34))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 622 + 440 = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 101, 181, 267, 365, 481, 621, 791, 997?\n\"Answer: x**3 - 3*x**2 + 82*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 5 (c) -33 (d) -0.232 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 0 - 3)*(0 + 0 + 2) - 8 - 18 - 19 + 6 - 1 - 1)*(-26*p**3 + 44*p - 44*p) as b + s*p**2 + z*p + h*p**3 and give h.\nAnswer: 1118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 4. Let z be x(-3). Let t(q) = -4*q**2 - q**2 + q - 2 + 5*q - 3*q**3 + z. Let k(i) = -2*i**3 - 4*i**2 + 5*i + 2. Determine -5*k(d) + 4*t(d).\nAnswer: -2*d**3 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2. Let l(o) = o**2 - 3*o + 3. Let g(j) = -4*j**2 + 14*j - 14. Let q(m) = -3*g(m) - 14*l(m). Calculate q(b(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.4, -0.05, -1\/3, 0.003 in decreasing order.\nAnswer: 0.3, 0.003, -0.05, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134900 is divided by 68?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:08 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 9*c**2 + 5*c + 44. Calculate r(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107184, -107195, -107210, -107229, -107252?\nAnswer: -107279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 7*h**2 - 6. Let f be s(-6). Let r be (3150\/(-1))\/(f\/(-200)). Suppose 7*p + r = 4*p. What is p rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b + 6 + 11*b - 4*b. List the prime factors of y(8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20101100001201222 - 22?\nAnswer: -20101100001202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 74516?\nAnswer: 596128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*j + 253*j - 84*j - 86*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3742477 (base 8) to base 6\nAnswer: 34052515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 390*-0.3\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*k + 37 - 232 = 0. Solve 0 = i - j - 1, -k*i - 3*j + 5 = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20672774 less than 0.09?\nAnswer: 20672774.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 81 - 22 - 24 + 5*n - 29. Let r(l) = 8*l + 10. Let g(p) = 10*k(p) - 6*r(p). Let o(w) = 18*w**2 - 5. Determine g(o(y)).\nAnswer: 36*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmmff. Give prob of sequence mkm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - b7?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 221. Let p(t) = -t**2. Calculate p(m(c)).\nAnswer: -4*c**2 - 884*c - 48841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**4 - 62565*l**3 + 3240105*l**2 - 3052435*l - 6355110 = 0.\nAnswer: -1, 2, 51, 12461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25771895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290304.\nAnswer: 2, 20161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 34 = -4*w, 5*w = 4*d - 9. Let c be (((-24)\/(-9))\/d)\/((-12)\/(-36)). Solve 6 - c = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5\/2 + 1203*n**4\/2 - n**3\/2 - 1203*n**2\/2 = 0.\nAnswer: -1203, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 m when three letters picked without replacement from ramgqrqg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-3) - (250\/(-30) - -9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -437021 + 1763?\nAnswer: -435147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - 68. Solve 0 = 10*r - t*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*i**4 - 10*i**3 + 4*i**2 + 217*i + 300?\nAnswer: -876*i**2 - 60*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**3*p*s + 9775*l**3*p - 109*l*p - 637280*p*s wrt s?\nAnswer: -l**3*p - 637280*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let d = -6 - -4. Let s be (-3)\/5 + 0\/(-3). Which is the closest to d? (a) s (b) z (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11403310297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**4\/18 - 2*k**3\/9 + 8*k\/9 - 48. Factor f(s).\nAnswer: 2*(s - 2)**2*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3832, 30283, 101998, 241609, 471748, 815047, 1294138, 1931653?\n\"Answer: 3772*j**3 + 47*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-405)\/1350)\/(3\/(-140)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 - 4)*-2*(-2372)\/8. Let d(u) = u**2 + 3558 - s. Let i(p) be the first derivative of 2*p**3 - 3*p**2\/2 - 3. Calculate d(i(z)).\nAnswer: 36*z**4 - 36*z**3 + 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = -s - 108. Let k(p) = -9*p**3 - 5*p**2 + 5*p - 6. Let u(x) = -8*x**3 - 4*x**2 + 4*x - 5. Let l(t) = s*u(t) + 5*k(t). What is l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-50)\/(-4)*51\/30 and 19\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.17 - 34.47. Let o = 9004\/19 - 474. Let d = -6 - -8. Which is the nearest to -2\/5? (a) d (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 23 = -5*d + 2*d, -d + 3*u = 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 3*o - 2*o**3 + (1 + 56 - 12)*(-o**3 + 2*o**3 + 0*o**3).\nAnswer: 43*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -214, -297, -384, -475?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*u - 24400, 5*d - 5*u - 24400 = -3*u. What are the prime factors of d?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 - -96.3. Which is the fourth biggest value? (a) -5 (b) o (c) -2\/7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 = 2*v. Let h = -1.4 - -1. What is the third smallest value in 5, v, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + (6 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 3*q**2 + 5*q - 4. Let r be b(3). Let n(s) = s**2 - 8*s - 13. Let x be n(r). Let g(k) = 2*k - 32. What is the units digit of g(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*q - 109*q - 104*q + 562*q - 107*q - 120*q.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**7\/70 - p**6\/40 - p**5\/20 + p**4\/8 - 2*p**2. Find z such that h(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - p - 12 = 1, q = -3*p + 11. Let g(l) = -l**3 - 2*l**2 - 2*l - 1. Let v be g(-1). Sort -3, v, q in increasing order.\nAnswer: -3, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/80)\/(1\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 h, and 1 b when three letters picked without replacement from {h: 1, i: 2, n: 1, b: 2, t: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 550 (base 6) to base 11\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 12:17 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 242392 + -242394. Suppose -6 = -2*g - g - 3*f, -f - 16 = -5*g. Let m be 1\/g + (-64)\/(-6). Sort c, m, 3 in increasing order.\nAnswer: c, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) - 76\/(-60). Let s = -1\/5 + b. What is the closest to s in -4, -1\/6, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/24*7*24\/1064\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 796291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t. Let n = -19 + 14. Give p(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 4, -4\/3, -0.5, 243, 36\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1643 = 7*w + 173. Suppose -w = 7*m - 17*m. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2336 divided by 584.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/165 and -73\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-12) + 1420\/16. Let s = l - 23. Calculate the highest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 927 + -927.07. What is the nearest to -0.3 in 1, 4, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103*-0.4739\nAnswer: -48.8117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.28, 1\/2, 1\/5, -0.13, -0.4, -3?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -47*o - 199171. Let r(l) = l. What is r(n(y))?\nAnswer: -47*y - 199171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l - 27. Let u be d(-3). Suppose -64 = -u*k - 32*k. Solve -s - k*r + 1 = 0, r = 5*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 8*o + 1, -5*p - 5*o + 80 = 0. Suppose -8 = 2*s, 2*t - 182 = -0*s + 3*s. What is the greatest common factor of p and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.493.\nAnswer: -1.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4*c = 10*x + 25, -2*c = 3*x + 23. Suppose 17*b - 15 + 270 = 0. Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1866\/19, -3\/35, -2\/17?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + -7 + 11 - (3 + -11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 279 + -246.2. Let x = 33 - y. What is the closest to x in -0.1, 8, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201101220020 (base 3) in base 10?\nAnswer: 381921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1127017 and 302278.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 + 2*s + 5*s**2 - 4*s**2 + 9)*(-4 + 2 + 1) to the form g*s + p*s**2 + d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 55*h**2 - 126*h + 218. What is b(53)?\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 3*v. Let k(y) = y - 3*y**2 + 2*y**2 + 0*y**2. Let w(u) = 4*k(u) + 2*o(u). Determine w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(4\/9)*m**(-2)*m)\/(m**0)**(-9))**46)**(5\/8) assuming m is positive.\nAnswer: m**(-575\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 7*r - 3\/2*r**3 + 0 - 12*r**2. Does 30 divide b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {c: 1, f: 1, k: 1, s: 3, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 3*i**2 - 4*i**2 + 240 - 3*i**3 - 214.\nAnswer: -3*i**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/15)\/(21*8\/28).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*i - 32, 2*i + 32 = -0*t + 3*t. Let h(z) = -2 + z**2 + 0 + 7*z + t. What is the smallest common multiple of h(-7) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6675? (a) -0.5 (b) 3 (c) 2\/7 (d) 0.2 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 708830*w + 1063254.\nAnswer: -2*(w + 177209)*(2*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -16*i**3 - 385568*i**2 - 385556*i - 96388 = 0.\nAnswer: -24097, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + 336\/(-196). Let x = l + 14. Solve -3*w - x = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -52*j. Let v(p) = 16 - 13 - 3 + p. Give q(v(b)).\nAnswer: -52*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 3*i + 21, 5*u + 1 + 14 = 10*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327196389 to the nearest integer?\nAnswer: 18089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-72)\/6*4*(-2)\/4. Solve -4*v - 4 + i = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24986*y**3 + 2*y + 905 wrt y?\nAnswer: 149916*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 18 = 2*a. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8605230118 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 3, b: 4, a: 3, r: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219 - 219 + 34*y**3.\nAnswer: 34*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355946.9 rounded to the nearest 10000?\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5700 + -5728. Sort 2\/3, 0.052, r in descending order.\nAnswer: 2\/3, 0.052, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -424*c. Let r(i) = -5030 + 10063 - 5033 + 13*i. Determine l(r(o)).\nAnswer: -5512*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -35. Let p(s) = s**3 + 10*s**2 - 4*s + 12. What is the remainder when p(-10) is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5121034499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -165, -2, 12, 16, 1, -7, 9 in descending order.\nAnswer: 16, 12, 9, 1, -2, -7, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826564.9 millilitres to litres.\nAnswer: 826.5649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-605)\/(-30) + (-10)\/60. Calculate the greatest common divisor of y and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*-0.02.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 189*w + 804*w + 307*w - 63 + 4*w. Is x(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2271 - 438 = 63*z for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*o = -8, -2*p + 28 = 2*p + 4*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53 or 2?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 405 + 443 = -2*b, 4*j + 4*b - 1124 = 0. Suppose 0 = -3*a - 2*c + j, a - 4*c + 196 = 3*a. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**2. Let s(p) be the second derivative of -2*p**4\/3 + 60*p. Calculate s(i(v)).\nAnswer: -200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -137 = -413\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -12. Suppose l = -h + 6*h - 5. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 47\/(11656\/(-2992)) + 0 + 24\/3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a millennium?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15.89 and -0.38.\nAnswer: -16.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*j - 36. Let q(l) = -11 + 8*l + 0 + 2. Let n(g) = -g + 1. Calculate j*q(w) + 18*n(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28134108 divided by -18198.\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 93\/(-6)*2 + 2. Let o = g + 53. Let n = 196 - 193. What is the highest common factor of n and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -351 - 4061565?\nAnswer: -4062026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2771 and 0.2.\nAnswer: 0.05542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 2308502.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 25 = -0*h. What is the third smallest value in -2, 0.5, h, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 7*d + 9. Let y be u(6). Suppose -4*g - 41 = 5*t, 2 = -y*g + 3*t - t. Suppose -5*c + 7*c = 10. What is the nearest to -0.1 in -5, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*c*n*z**3 + c*n + 94*c*z**2 - 2*c - 6*n*z**3 wrt z.\nAnswer: 66*c*n - 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**3 - 486*r**2 - 112*r - 436. Determine n(61).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35730\/(-153639)*(-2)\/(-20).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voj when three letters picked without replacement from {j: 2, v: 4, o: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/6)\/((-30)\/7965). Let d = q + -174. Solve 3*i - 2*c = -5*c - d, 0 = 4*i - c - 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 39*b - 154. Let k be c(4). Solve 0*i - 6 = -3*a - 3*i, 5*a + i - k = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 2*z**2 + z. Let j be q(1). Suppose 0*m + m = 4*g + 15, -2*m + g + 9 = j. Factor 1 - 1 - 3*y**2 - m*y + 0*y.\nAnswer: -3*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (-4)\/14)*-7. Let h = d + 1. Suppose -m + 3*p = 12, m - 6*m = 5*p - 20. Solve m*t = -h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4022, -4694, -5804, -7346, -9314, -11702?\n\"Answer: g**3 - 225*g**2 - 4*g - 3794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 20. Let a be i(-14). Let n(o) = -9*o + 10. Let x be n(a). Suppose 0 = w - 13 - x. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*x - 10, -6*p + 2*p - 2*x = 10. Suppose p = 3*w + w - 652. Suppose -w = -3*h + 5*o, -4*o = 4*h + h - 321. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6292) + sqrt(6292) + -1 + -2)**2 + -5*(sqrt(468)*1 + sqrt(468) + sqrt(468))**2.\nAnswer: -264*sqrt(13) + 4117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 513310 and 3430.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19*y**2 - y + 7. Let d be s(2). Let q = 141\/2 + d. Let u be 1 + -3 + (2 - -2). Which is the third biggest value? (a) u (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 181*i - 84*i - 64*i - 5*z, i - 3*z + 2*z = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 5 + 12*x + 5 - 3*x in the form v*x + u and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 2*a**2 - 3*a**2)*((4 - 1 - 2)*(1 + 0 - 3) - 3 + 4 - 2) - 140*a**2 - 56*a**2 - 175*a**2.\nAnswer: -368*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 650\/30*22\/(-60) - -8?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35440 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**8\/336 + r**7\/15 + 11*r**5\/12 + 6*r**2. Find the third derivative of m(w) wrt w.\nAnswer: 60*w**2 + 336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvtvtptyyo. What is prob of picking 3 t?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -416\/1161?\nAnswer: -416\/1161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675363?\nAnswer: 19, 88177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255073904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*m - 421 - 303 = 0, 4*n = 5*m + 2791. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 49\/5 of a millennium?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 3\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 113.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(1 - 1\/(-3)*0). Let d be u\/(-6)*(-120)\/(-140). Suppose 75 = d*y + y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-42)*(-18)\/306*51\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 0 - 70. Suppose -v + 2*z - 2 = 0, p*z = 2*z + 10. Factor -k**v - 92*k**4 - 6*k**3 + 4*k**2 + 95*k**4.\nAnswer: 3*k**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppkk when four letters picked without replacement from ppkkpkk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 256 = -20. Suppose d = -34*b + 11*b. Let l be (-8)\/(-6) - 4\/(-6). Sort l, b, -12 in decreasing order.\nAnswer: l, b, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 16*d**2 - 83*d + 44. What is m(20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m + 725*m**3 + 720*m**3 + 255*m**2 - 9*m**2 - 1446*m**3 + 4*m to a*m + b*m**2 + o*m**3 + v and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 5*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -47\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/2? (a) 4 (b) -0.5 (c) -10 (d) -106565\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -147562499*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32552408 divided by -4.\nAnswer: -8138102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14324698 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from dfxhhxx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - a = 4*f - 70, -2*a + 70 = 5*f. Suppose -5*c + 9 = f. Put 4, c, -4 in descending order.\nAnswer: 4, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(((d*d*d*d*d\/(d*(d\/d**8)\/d)*d*d)\/d*d)\/d))\/d)**(-10) assuming d is positive.\nAnswer: d**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/18 - (66 - 68)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + (1 + sqrt(1584) - sqrt(1584)) + 3)*-1*-2 + -4*4*((sqrt(1584) - -2*sqrt(1584)) + 4 + sqrt(1584)) + 4)**2.\nAnswer: 77376*sqrt(11) + 6091600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 556373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 18*d - 1216 = 0. Let y = -503 + d. Calculate the highest common divisor of y and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 3:48 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(209) - (sqrt(209) - sqrt(209)*-3 - sqrt(209))*-2) + sqrt(209) - sqrt(209))\/(sqrt(396) - (-3*sqrt(396) - sqrt(396)) - sqrt(396)))**2.\nAnswer: 1507\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 212272437.255.\nAnswer: 212272436.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28812 and 11760.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111.7 + -120. Round z to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -215.987042068 + -0.011871932. Let x = -216 - l. Round x to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31559 and 4379.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.09, -0.5, 0.20732, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -195826405 and -3.\nAnswer: 587479215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 25*v**2 + 24*v + 1. Let d be g(24). Let t = 0.4 + 0. Which is the closest to d? (a) -4 (b) t (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165168 or 935?\nAnswer: 935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27274395 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -80*u + 11. List the prime factors of s(-3).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*t = -2*n + 8, -5*t - 10 = 3*n. Suppose -6 = -3*s - n. Sort 3, s, 4 in decreasing order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 674591717*a*q*y**2 + 2563152*a*y**2 + 3*a + 9*y wrt q.\nAnswer: 674591717*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10\/7 - -37\/21. Let z = -211 + 211.04. Which is the closest to -1\/2? (a) 4 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3022.6 - -3569. Round r to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-16))\/((-5)\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -1110412341?\nAnswer: -1110412340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 5650.\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1065 = 6*k. Let b be (49\/(-28))\/(3\/420). Let o = b + k. What is the greatest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 61 = 3*w, -2*z - w = 3*z + 68. Let r(d) = d**2 - 9*d + 9. Is r(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 + 4*y + 3. Let z be f(-1). Put z, -2, -1, 2, 6 in decreasing order.\nAnswer: 6, 2, -1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 6 + 15)*(-2*y + 3*y + 0*y) + 1 - 1 - 2*y - 4*y + 3*y + 2*y)*(y + 3 - 3).\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.11 (b) -267 (c) 209 (d) -0.9 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 32*u = 12*u + 408 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8894, -34017, -75406, -133061?\n\"Answer: -8133*l**2 - 724*l - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/((-18326)\/(-441) + -42).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -16. Which is the closest to -2? (a) g (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 22*c**3 - 27*c**2 + 12*c - 59. Let q(w) = -17*w**3 + 20*w**2 - 9*w + 44. Let g(a) = -9*q(a) - 7*t(a). Calculate g(7).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11542 = 443*m + 4849 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 1344551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22195 - 8354. What are the prime factors of w?\nAnswer: 13841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 11*v**2 - 3*v + 25. Let a be p(12). Let h = -132 + a. Suppose 5 = 4*w + 17. Put h, -2, w, -4 in descending order.\nAnswer: h, -2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -29 + 2*b - 1\/3*b**3 + 0*b**5 + 5\/6*b**6 + 0*b**2 + 5\/6*b**4. Find the third derivative of a(d) wrt d.\nAnswer: 600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214001 (base 5) to base 9\nAnswer: -11105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166365 to the power of 1\/2, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 7 - (-28 + 0) - (0 + 8)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 196089593 divided by -683239\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 739099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1203152, -2406286, -3609420?\nAnswer: -4812554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -8*x**3 + 54*x**2 + x + 33. What is j(6)?\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -59*y + 766. Give l(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220905 to the power of 1\/2, to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 810670 - 810670 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46827 and 69261390?\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172661 + 9636. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31432 (base 6) in base 12?\nAnswer: 2578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47350 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3 - 66. Suppose -10*g = -14*g. Let l = g + 11. Calculate the least common multiple of c and l.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47852 - 47675. Suppose 3*q - 531 = -3*k, 4*k - 895 = -k + 5*q. Which is smaller: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35 - -0.13. Let l = w - 0.18. Sort 5, 2, l.\nAnswer: l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 6. Let o(s) = -s - 1. What is -2*o(j) - v(j)?\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17642 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539*c**3 - 32*c**3 - 81*c**3.\nAnswer: -652*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 21*u - 13*u + 20*u - 88*u + 42*u + 2 + 17*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 50808*a - 3556600. Give j(70).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from sksskskkksksk?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7233046 by 2.\nAnswer: -3616523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543398.\nAnswer: 2, 23, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.49 + 0.59. Let w = -0.39 - -0.39. Sort -1, j, 4, w in descending order.\nAnswer: 4, j, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 - -300 - (2 - (0 + 1)) - 27?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (39168\/11880 - 2) + 2\/55. Factor -4\/3 - 1\/3*w**2 - i*w.\nAnswer: -(w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11 - 4*q + 200\/11*q**4 + 282\/11*q**2 - 40*q**3.\nAnswer: 2*(q - 1)**2*(10*q - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3588\/532735 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5561*f + 100096. Calculate v(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 42*o + 14 - 29 to h*o + b and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32941, 65881, 98821, 131761, 164701?\nAnswer: 197641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -630, -601, -552, -483, -394, -285?\n\"Answer: 10*q**2 - q - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 453552 and 1584?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*c**2*y**3 + 3422373*c**2*y**2 + 110*c*y**4 + 588*y**4 - y**2 wrt y.\nAnswer: 126*c**2 + 2640*c*y + 14112*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -t - 38, -g - 443*t = -35873 + 38099 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 11*p + 2. Let j be r(-11). Solve 8 = 4*q - j*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c31 + 4?\nAnswer: 1c35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2 - 4 + 0*l - 2*l + 1. List the prime factors of h(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxmaajaxaaaaak. Give prob of picking 2 a and 1 j.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 47433 and 21797?\nAnswer: 25636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3493714 is divided by 1559?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6128 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 8*w - 4*w - 7*w**2 + 60*w**2 as u*w**2 + k*w + d and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001101110 (base 2) in base 13?\nAnswer: -693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 296 = -5*d + 295, 4*d = -4*v + 16. Put 338, -2, -5, d in descending order.\nAnswer: 338, d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 495 by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 562183 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18879.421 + 18887. Let l = -7.5 + v. Round l to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 633 and 335159574.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 17*i + 41. Determine w(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-12)*(-1)\/3. Let l = -0.238 + 0.038. What is the nearest to c in 0, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1393443748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -55, 48447, -4, 6, 3 in decreasing order.\nAnswer: 48447, 6, 3, 1, 0, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -16. Let y(q) = -q**3 + 17*q**2 + 9*q - 17. Let w(u) = -6*u**2 - 3*u + 6. Let f(t) = x*y(t) + 8*w(t). Factor f(a).\nAnswer: -3*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18113 and 10?\nAnswer: 181130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26 - 35 - -25 - 17 - (18 - -2) - 5\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 12, 2, 27\/11, 2\/9, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10910.\nAnswer: 2, 5, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7292 is divided by 204?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242113 divided by -1?\nAnswer: -1242113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 369*m**3 + 4*m**2 + 4*m + 4. Let w(r) = -370*r**3 - 3*r**2 - 3*r - 3. What is 4*w(a) + 3*y(a)?\nAnswer: -373*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 172754753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -6170378 to the nearest 100000.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*o - 3*f, -o + 2 = 3*f - 13. Which is the smallest value? (a) o (b) -4 (c) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.8*-151.\nAnswer: -2234.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.009 to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 529 + -525. Calculate the remainder when 27 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(133) - (sqrt(133) + ((sqrt(133)*-3 + sqrt(133))*5 - sqrt(133)) - sqrt(133)))\/((sqrt(567) - 4*sqrt(567)) + sqrt(567)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4288 divided by -134\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + h - 3 = 0, 0*h - 5*h + 1 = 3*o. Find the second derivative of 23 - 5*j**o - 12*j**2 - 31*j - 23 wrt j.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 533 (b) -6 (c) 0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - k = -2*k - 90, -5*c - 3*k + 110 = 0. What is the highest common divisor of 38 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72.03 at most as big as -1\/237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 - (-18 + 4) - (-19 - 4).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1, 2, -8, 270 in descending order.\nAnswer: 270, 2, 1, -8, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13122 by -40325.\nAnswer: -13122\/40325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.203 minus 85?\nAnswer: 130.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -10. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5796 and 98974428?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0.04, -1, -5, 2 in decreasing order.\nAnswer: 2, 0.04, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/5 (b) -1\/3876 (c) -1\/10 (d) -81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 89\/14 + (-1)\/(-2) - 7. What is the second biggest value in j, 1.2, -6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((20\/2)\/(-10))*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -1, 0.7, -467, -5?\nAnswer: -467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 11) in base 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*i - 0*i. Suppose 0 = 5*b + 5, s - i*b + 4*b - 36 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1126\/2815)\/((-14)\/10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**4 + 234316*r**3 + 7030896*r**2 + 45001216*r - 120000512 = 0.\nAnswer: -16, 2, 117188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-3) - 2\/(6\/(-273)). Let b = p - 27. Suppose -6*t + b = -17. What is t rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 - 48 = 2*f - 2*l, -3*l = 4*f - 296. What is the first derivative of -61 - 133 - 154*x**2 + f wrt x?\nAnswer: -308*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/6 - -2) + (-10)\/15. Let i be (-9)\/6 - ((-3)\/6 - m). Let f = -1 + 4. Which is the smallest value? (a) 2 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -147*o - 8857. What is q(-60)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9698635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 552, 1087, 1622, 2157?\nAnswer: 2692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72452, 145159, 217866, 290573, 363280?\n\"Answer: 72707*p - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2019*w + 498*w + 500*w + 523*w - 62 + 129 + 500*w.\nAnswer: 2*w + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3195461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 762, 976, 1184, 1386, 1582?\n\"Answer: -3*a**2 + 223*a + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + 20 + -21 + 13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 2*u + 2*u + 5, -4*v - 4*u = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 9*t**2 + 285*t - 2983. Give y(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00167170871 rounded to seven decimal places?\nAnswer: 0.0016717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2167132 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -64, -5, 3, 2, 8 in ascending order.\nAnswer: -64, -5, -1, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/9 (b) 1\/2 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 56*j - 52. Let g be k(5). Suppose -411*r + g = -417*r. Find the common denominator of -61\/4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1397 or 1398?\nAnswer: 1398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*m + 7 + 18 + 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/h**(1\/26))*h\/(h\/(h*(h*h**(-5))\/h*h*h*h*h)*h*h) assuming h is positive.\nAnswer: h**(-51\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 15. Suppose -f + 24 = 3*w, -5*f + 22 = -5*w - 58. Let c be y(f). Solve c*t + 0*t + 4*j = 28, 0 = -3*t + 3*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j - 1475 = 0. Let i = -134 - j. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3)**19\/(((x*x**12*x)\/x)\/x*x\/((x**(1\/3)*x)\/x)) assuming x is positive.\nAnswer: x**(133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by -10*(-8)\/(-20)*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Let w = y - 0. Let q = 10 + -6. Which is the closest to w? (a) q (b) 0.4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 8444?\nAnswer: 33\/8444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -128, -211, -314, -443?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 45*x**2 - 18*x - 102. Let z be c(-6). Let p = z + -539. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 1228a7?\nAnswer: 1228a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piulpipliilplalbbpip. What is prob of picking 1 p, 1 u, and 1 b?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millimeter in micrometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + n + 9. Give q(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13845 * -0.3.\nAnswer: -0.041535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -5*l + l - 3, -k - 9 = -4*l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddoxxxxx. Give prob of sequence dxod.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12618439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 10, p + 9 = -2*p - 3*k. Let s be 9 - (-2 - p) - 3. Suppose 5*b - 190 = -s*j + 4*j, -b - 3*j = -38. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/12 - 1\/12. Which is the nearest to n? (a) 3 (b) -0.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 5*h**2 - h**2)*(h**2 + 2*h**2 - 2*h**2) + (-3*h**3 + 6*h**3 - h**3)*(-h + 0*h + 2*h).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28820107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2\/(-3)))\/(-27*31\/8928)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -965 - -976. Does 19 divide ((-101)\/(-3) + (p - 17))*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 4:43 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*j - 36. What is the remainder when 44 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 15. Let h(n) = n + 17. Let v be h(-6). Let d = v - k. Solve 2*f - d = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1263*y - 1269*y + 30 = 0. Let p(v) be the third derivative of -1\/6*v**4 - 1\/15*v**y + 0 + 4\/3*v**3 + 9*v**2 + 0*v. Solve p(c) = 0 for c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27881865 a multiple of 1265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 17*p + 2. Suppose -a - 5*n = 1 + 2, 0 = -2*a - 3*n - 6. Let j(x) = x**3 + 3*x**2 - x - 2. Let y be j(a). Does 14 divide w(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1343 + 2883. What is the common denominator of 6566\/i + (-4)\/10 and (2\/(-6))\/((-44)\/(-450))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.3*-14678.\nAnswer: 165861.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 20*t**2. Is 20 a factor of k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -330, 43, -0.3, 3856, 1\/3?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.21 - -0.28. Let x be (4\/78)\/(3\/(-9)). Sort -4, x, c.\nAnswer: -4, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 2*i + 3, 40*i + 8 = 2*j + 38*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/57077154? (a) -5 (b) -0.5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 8. Let i = 21 + -29. Let q be m(i). Find x such that -1\/2*x**2 + 3\/2*x**4 + 2*x**3 + q - x = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - x - 951 = 0, -2*u - 2*u = x - 768. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-5) + (-878)\/(-5). Let g(f) = 2*f**2 - 12*f - 16. Suppose 16 = -52*z + 54*z. Let y be g(z). Calculate the highest common divisor of b and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, h: 13, i: 2}. Give prob of sequence hiuh.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -2679, 0.44, -35\/11, 3\/2?\nAnswer: -35\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 454.\nAnswer: 20430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 24. Suppose -2*j + 4*j - m = 0. Solve -j = -5*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 4.\nAnswer: -9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/((-19348)\/(-32255) + (-123)\/205)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 + 45*n - 20. Let l be a(22). Solve t = -4*w + 11, -t - l*t - 2*w = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b - 3*b)*(-3*b**2 + b**4 + 5*b**4 - 2*b**4).\nAnswer: -8*b**5 + 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 6*d + 63*d)*((0*d - 3*d + 5*d)*(-2 + 0 + 1) + (-1 - 1 + 1)*(3*d - 2*d + d)) as y*d**2 + t*d + x and give y.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 5*t**2 + 235. Let u(l) = -6*l - 4 + 4. Give w(u(p)).\nAnswer: -60*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -10, 6347 in decreasing order.\nAnswer: 6347, 4, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at most as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -2a7624c9?\nAnswer: 2a7624c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11159299 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from nezezzezzeezee.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**4\/24 + 2142*v**2. Let u(n) = -132*n**2. What is t(u(d))?\nAnswer: 132*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 20 = 5*a + 20, -12 = 3*a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 16*x + 39. What are the prime factors of y(8)?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*((-9)\/(-45))\/(15\/(-25))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)*r)**(-8)*(r*(r\/(((r*r**(-1\/16)\/r)\/r)\/r*r))\/r*r)\/(r\/(r*r**(-12))) assuming r is positive.\nAnswer: r**(-1069\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 17. Suppose -4*w + 5 + y = 0. Let v be 8\/w + 6\/15. Solve 0 = -3*r + v*u - 9, -u + 2 = r - 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -8. Let b = q - 1. Suppose -202 = -p + c + 248, b*c = -p + 447. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**6)\/h*((h**(-2\/7)\/h)\/h)\/h)\/(h**(-1\/2)*h)**(3\/5)*h**(2\/13)\/(h**1\/h)*(h**1)**(1\/8) assuming h is positive.\nAnswer: h**(13443\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3\/5 (b) 27\/4 (c) 1\/3 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 7\/2, -8, -11, 6, 0.7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 80 = -173*w + 156*w. Solve -10 = 4*o + 5*z - 47, w*o + 3*z - 27 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 682 = -5*t + 716, -3*x + t + 6 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -x + 374, -4*f - 5*x - 54 = -5*f. Let j be (-2)\/(-3) + 993\/9. Calculate the highest common divisor of f and j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3) + 1)**2 + 0 + sqrt(1152) + sqrt(1152).\nAnswer: 19 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (400 - 801 + 400 + k)*(-k + 3*k - k)*(-3 + 1 + 4)*(-3*k**2 + 4*k**2 - 3*k**2).\nAnswer: -4*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -262, -203, -180, -229, -386, -687?\nAnswer: -1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 53*x + 50*x = 14, 3*x = -w - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwq when three letters picked without replacement from {w: 4, q: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fto when three letters picked without replacement from {t: 5, n: 1, o: 3, f: 2, b: 3, u: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 2:35 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 6 + (3 - 16 - -17). Solve -15*z = -n*z + 77 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 44899*s + 2. Let l(v) = -69*v. What is l(a(i))?\nAnswer: -138*i**2 - 3098031*i - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 + 12*x**2 + 53*x**2 + (3*x + x - 6*x)*(-13*x + 41 - 41).\nAnswer: 95*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*f**5 - 182*f**2 + 167 + 174 + f**3 - 342 wrt f.\nAnswer: -2160*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57278*u - 57275*u + 721 = 8*b, 2*u = -5*b + 439 for b.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -13, 3 in decreasing order.\nAnswer: 3, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(3 + -2) - -2. Calculate the common denominator of -51\/4 and (-2067)\/(-54) - r\/(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(264\/(-55)))\/(14\/78) and -3\/5?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s + 7*s + 9*s. What is the remainder when f(1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 4:17 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 126*j**3 + 4*j**2 - 4*j. What is the thousands digit of q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in -1, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 26*y - 42. What is the hundreds digit of r(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -2\/3, 4, -224?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -2*i**3 + 7*i**2 - 2*i. Differentiate a(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 163, 327, 459, 547, 579, 543, 427?\n\"Answer: -2*q**3 - 4*q**2 + 190*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 + 0 + 2 - 2. Let x(c) = 9*c. Let t be 2\/4 - (-18)\/4. Let v(u) = 14*u. Let o(b) = t*v(b) - 8*x(b). What is o(g(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 20. Let g = -1406 + 1431. Suppose 8*x + g - 169 = 0. Calculate the remainder when x is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68230554529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 11*h - 9. What is the tens digit of f(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*c - 49251 - 214909. Round c to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.8 - -6.8. Suppose 5*l + 5 = 3*f, 2*f = 5*l - l + 4. Let g = 272\/417 + 2\/139. What is the third smallest value in g, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 - 2*k + 2. Let v be g(-2). Let i be ((-1)\/4)\/(v\/8). Let u(b) = 15*b + 1 + 12*b**3 - 4*b - 11*b. Determine u(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01611606 rounded to five dps?\nAnswer: 0.01612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/44 and 69\/68?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -150, -144, -136, -126?\n\"Answer: z**2 + 3*z - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 144\/(-135) + (-4)\/(-10). What is the third biggest value in 2\/3, z, -1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 3*t**2 + 5*t. Calculate the least common multiple of 4 and f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473018337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 - 69. Let l = 9 + -5. Solve -f + 3 = -3*j, -l*j - 4 = -3*f - u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68 - 0?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -23 (c) -2\/17 (d) 59 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44160 is divided by 5507.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 60 = -4*w. Let q = 35 + w. Suppose 0 = 8*u - q*u + 177000. What is u rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:15 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*r - 19, -8*j + 9*j - 3 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3425 = 4*s, s + 9 - 14 = 0. Let c = -473 - t. What is the highest common factor of c and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(v - 3*v + 0*v) - 2*v + 2*v - v - 1286*v + 45775 - 91551 + 45778.\nAnswer: -1283*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38819 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -18\/5*m**4 - 58\/5*m**3 - 36\/5*m - 78\/5*m**2 - 2\/5*m**5 + 0 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, 5, -0.1, -3.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 12*o**2 - 29*o - 1. Let u be w(-14). Suppose -u*d + 50410 = 9291. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12*s**2 + s. Let b(k) = -11*k**2 - k. Suppose -225*q = -238*q + 91. Determine q*b(u) + 6*o(u).\nAnswer: -5*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -953*k - 29536. Let y be o(-31). Suppose g - 155 = -5*c + 84, c - 63 = -4*g. Let z = -27 + c. Solve y*u = 2*u - z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 27*n**2 + 125*n + 10. Let l be y(-6). Which is the fourth smallest value? (a) -0.041 (b) -3 (c) 1 (d) -0.2 (e) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -336*i + 1325. Calculate m(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20410, 29625, 38840, 48055, 57270, 66485?\n\"Answer: 9215*v + 11195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phzz when four letters picked without replacement from {h: 5, e: 1, z: 5, p: 1, i: 5}?\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534 divided by 159165.\nAnswer: 178\/53055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35518709*f**3 - 158463090*f**2.\nAnswer: 213112254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 42*a + 278762 = 9245978. Is a 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 8:47 PM and 3:29 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15530250301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 34 - b - 32 + 2*b. Let k be f(1). Solve -3*g = 3*m + 6, k*m - 2 = 2*g - g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6 - 5*c - 5 + 8 + 9 + 5. Let r(i) = -7*i + 11. Let x(b) = 3*q(b) - 2*r(b). Calculate x(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -55.2. Which is the third smallest value? (a) 3 (b) -3 (c) g (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-70)\/(-2) + 3\/(-3). Suppose -231 - 109 = -5*x. Suppose 0 = -c + 5*c - x. Calculate the highest common factor of c and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 5) + -5 + (-3 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.86 not equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 20339367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36589*h**2 + h - 63731 wrt h.\nAnswer: -73178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 11*n - 14. Let q be t(9). Solve -2*h - 14 = -q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/317, 0, 6\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838700370?\nAnswer: 2, 3, 5, 9318893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(((-268)\/(-5360))\/(9\/15))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 233, 338, 427, 494?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 402?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o - 2156 - 2252 + 3*o - 4*o + 5544.\nAnswer: 9*o + 1136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-82 + 2)*2*441\/(-45)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooo. Give prob of sequence oo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.4 + 18. Let z = -413.4 - -419. Let c = y - z. Put 2\/15, -0.04, c in increasing order.\nAnswer: c, -0.04, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1\/1)\/(10 - (-532)\/(-56))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.845 rounded to one decimal place?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22*(-9)\/21)\/(12\/7 - 2). Solve 0 = 39*g - j*g - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162553174 divided by -7.\nAnswer: 23221882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 14*n + 59 - 96 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 11*r + 7*r as k + x*r and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -5 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 340\/60 - 1\/(-3). Suppose 0 = 2*y - x*y + 8. Let d(u) = -u**3 - 5*u + 0*u**2 + 2 + 0*u**2 - 6*u**y. Give d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 68. Solve q + 2*r + 9 = 0, 0 = -5*q - 5*r + 2*r - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 129 = -5*m - 2*q, -5*m + 208 = q. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 2*x - 4. Suppose -l = 4*l + 2*d + 17, -4*l + d - 11 = 0. Let u be m(l). Let v be 1\/3*(1 + 5). Solve -2*b + 1 - u = -v*i, 2*b + i = -7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 22. Let p be -1*(w - 12\/2). Does 23 divide 3 + (4 - p) + 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 8 - (-1 - 8 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, f: 2, c: 10, m: 6}. What is prob of sequence cff?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16999*b**4 - 1459*b**3 - 26456190*b**2.\nAnswer: 407976*b - 8754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 10*f**2 - 10*f + 607. Determine c(13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 430 + -21. Let h = 214 - r. Let z = h - -194.917. Round z to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 20*v**2 + 3*v + 3. What is the remainder when k(-1) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 2294*s - 65688. What is j(29)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.1. Let o = -3.2 - j. Let p = -0.70446 - -1.00446. Which is the closest to o? (a) p (b) -0.1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*l + 43 = 3*f, 5*f - 51 = l. Let n be ((-6)\/f)\/((-1)\/5). Let m(a) = -a - a + 2 + n*a + 11. Calculate m(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and 1.774.\nAnswer: 11.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -11 + (-209)\/(-19). Let q(z) = 4*z + z**2 - 3*z + 0*z + 1. Let g(y) = -3*y**2 - 6*y - 2. Determine c*q(b) + 2*g(b).\nAnswer: -2*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 120 = -g - 25, -3*g = -2*r + 99. Calculate the remainder when r is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70376 + -70338. Suppose -4*d + 9*d = 1100. What is the remainder when d is divided by a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**4 - 264*k**3 - 10890*k**2 + 138000*k + 4959375 = 0.\nAnswer: -25, 23, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-4))\/((-5)\/(-12)). What is the biggest value in 0.1, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/8677713 and 61\/2366649.\nAnswer: 26033139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18725, -75249, -169465, -301379, -470997, -678325?\nAnswer: -923369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16355 or 65421\/4?\nAnswer: 65421\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*f - n, -f = -3*f + 2*n + 2. Suppose r + 0*r + f = 0. Let l be 77\/(-14)*(r - 0). What is the highest common divisor of 88 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -37 + (63 - -8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 5 (c) 2 (d) -191.289\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 42 = -29*w. Solve -3*k = 4*t - w, -4*k - 2 = -3*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 137*f**2 + 443*f - 3215. Determine g(140).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*c + 106*c + 83*c - 1581 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21845 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 10. Let j be 2 + -1 - 160\/20. Let g be 36\/84 - (-59)\/j. Calculate u(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 12172950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*m + 224 - 44 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjxxynmmmxxxnyxmmjbx. What is prob of picking 1 m, 1 n, 1 x, and 1 j?\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + k**2 + 1. Let q(u) = -3*u**3 + 4*u**2 + 3*u + 10. Let b(n) = 2*p(n) + q(n). Calculate b(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Let r(g) = 75*g**2 + 2*g. What is a(r(n))?\nAnswer: 75*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 + -112. Let g = y - -38. Suppose 336 = g*q - 0*q. What is the remainder when q is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**9\/5040 - l**7\/700 + l**5\/200 - 7*l**3\/6 - 5*l. Let z(h) be the second derivative of w(h). Determine n so that z(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181 + 179. Let w be y + 76\/(-4)*-1. Does 82\/5 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31664948928 - 24.77?\nAnswer: -24.45335051072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28134 and 834.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154913 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 4, m: 6, c: 1, h: 1}. Give prob of picking 1 a and 1 m.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/6 + 9*f. Let r(l) = 13*l**2. Let s(m) = 3*m**2. Let g(y) = 2*r(y) - 9*s(y). What is g(i(w))?\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(3\/8)*t*t)\/t*t*t**2)\/((t\/(t\/(t**(-2)\/t)*t))\/t**(-1\/9)) assuming t is positive.\nAnswer: t**(667\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 13 - 25. Put -15, 0, 5, g in descending order.\nAnswer: 5, g, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from djeettdetjetjdegeje.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p**2 - 10*p - 7. Let b(l) = 6*l**2 - 7*l - 5. Let u = 177 + -182. What is u*x(f) + 7*b(f)?\nAnswer: -3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 4*r - r)*(5047 - 10088 + r + 5047).\nAnswer: r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (4\/(-38))\/(286\/(-2717)) - (-2788)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3370*n + 5166 + 31904 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 232 - -58?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148 + 204. Suppose -w*k = -44*k - 696. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3597 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -7*u**3\/3 + 3*u**2 - 8*u + 3. Let r(d) = -6*d**2 + 5*d - 7. What is 5*o(k) - 6*r(k)?\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -13*i**2 + i - 374. Let s(g) = -11*g**2 + g - 375. What is -5*s(w) + 4*u(w)?\nAnswer: 3*w**2 - w + 379","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 902149 (base 13) to base 3\nAnswer: 20022000012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*o - o. Let s be 2 - (o + 7) - -30003. Round s to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a - 2641 = -9025. Solve -a - 147 = 56*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 220268.\nAnswer: 3964824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1663*l**2 - 28*l - 38. Let h(f) = 416*f**2 + 7*f + 10. Let o(t) = 2*a(t) + 9*h(t). What is the second derivative of o(j) wrt j?\nAnswer: 836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(1\/26)\/(((y\/(y*y**1*y))\/y)\/(y\/y**(-3))) assuming y is positive.\nAnswer: y**(181\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509 is divided by 530?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 3. Suppose 9 = r*k - 6. Suppose -5*g - 33 = -o, -96 = -k*o - 2*o + 2*g. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 4*r + 4. Let x = -5 - -1. Let s be f(x). Calculate the common denominator of 266\/(-42)*18\/s and 57\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*(50 + -54). Solve 3*p - 4*p = c*u + 10, -3*u = 5*p + 29 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13414897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 126, 259, 392, 525, 658?\n\"Answer: 133*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, 562 in increasing order.\nAnswer: -11, -5, 562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1756 = -5*b - 1731, x + b - 4 = 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -30531 (c) 1 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - l - 3*l + 19, 5*s - 5*l = 20. Solve 0 = s*v + 8 + 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*x**2 + 15 - 14 + 286*x + 23.\nAnswer: 38*x**2 + 286*x + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175.6 - -174.6. What is the nearest to t in -0.4, -59, -1\/12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*m**2 + 74*m**2 + 41*m**2.\nAnswer: 381*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*h + 5*g, 6*h - 3*h - 2*g - 18 = 0. Suppose 4*x - 3*w + w = 92, -2*w + 92 = 4*x. What is the remainder when x is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1350*k**2 - 96*k - 17. Determine n(-2).\nAnswer: -5225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 44*i**2. Let s(j) be the third derivative of -j**6\/240 - j**4\/3 - 8*j**2 - 4*j. Let h(w) be the second derivative of s(w). Give u(h(r)).\nAnswer: 396*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, 5, 4, -445, -5, 1, -1 in decreasing order.\nAnswer: 5, 4, 1, -1, -5, -86, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/90 and 139\/2456784?\nAnswer: 12283920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17657316?\nAnswer: 2, 3, 490481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, 4, 1, 2, -3 in decreasing order.\nAnswer: 5, 4, 2, 1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 2 (c) -0.3 (d) -438 (e) 596\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/(294\/49).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635.486 tonnes in milligrams?\nAnswer: 1635486000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7981645.96 rounded to the nearest one thousand?\nAnswer: 7982000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 5:34 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 6:53 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 695*p - 662*p.\nAnswer: 33*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11 and -63864.\nAnswer: -63875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 6*v + 10. Suppose -2*s - 3*s = -j - 12, -j - 4*s + 24 = 0. Let f be h(j). Let w(u) = u**2 - 2*u + 1. What is the units digit of w(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 765 divide 37326742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*o + 51 = 0, 3*x - 3*o = 161 - 47. List the prime factors of x - 1 - (13 - 9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2*w + w)*(0 - 1 + 0) + w + 0*w + 2*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -283.62 - -284. Let y = -83.39 - -83. Let l = k + y. Is 0 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9812811?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 267605462, 535210926, 802816390, 1070421854?\n\"Answer: 267605464*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -49. Solve z - 4 = -k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(sqrt(110)\/sqrt(275)) + 3 + (-1*sqrt(135)\/sqrt(3) - -5*(sqrt(45) + 3*sqrt(45))))**2.\nAnswer: 432*sqrt(5) + 25929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -314, -1, -67 in increasing order.\nAnswer: -314, -67, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 + -4)*5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-243)\/9)\/(-9))\/((-2)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 6*x**2. Let w be f(6). Let u be 0 + 6\/(-183) + w. Let y = 18321 + -18322. Are u and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18902447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -36095520 rounded to the nearest 10000?\nAnswer: -36100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-1 + -1 - -2). Let f = c + 0. Let s be -21*(f - 1) + 1. Let b(l) = 10*l**2 - 12*l + 10. Let x(o) = o**2 - o + 1. Calculate s*x(d) - 2*b(d).\nAnswer: 2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7cb (base 15) in base 11?\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8.5. Let j = -522 + 527.17. Let u = j + -1.17. Which is the second biggest value? (a) u (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115\/37 + 3685\/888. Find the common denominator of s and -119\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 0.3, 886.3, -5 in descending order.\nAnswer: 886.3, 0.3, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.375 to 0 dps.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-35*36\/(-60)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/2*(-4)\/2*200\/240.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvjyjav. What is prob of picking 1 y, 1 g, and 2 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 17*h + 17. Let u be r(18). Let p = -14 - -9. What is the nearest to -1 in u, p, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4794 and 5337609?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 369, -32 in increasing order.\nAnswer: -32, -1, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*o = -21. Suppose -o*x - x = -8. Find m such that -3*m**2 + 2*m**x - m + 0*m + m**4 + m**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqa when three letters picked without replacement from hqaopaq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (317\/2 + -7)\/(2\/(-8)). Let n = -356 - p. Suppose 5*b = 5*x - n, 3*b = x + x - 100. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4? (a) 4 (b) 0 (c) 4\/5 (d) -21\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -166730132 and 0.3.\nAnswer: -50019039.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -865*p**2*u**3 - 2*p**2*u - 4*u**3 + 2*u**2 - 251 wrt p?\nAnswer: -1730*p*u**3 - 4*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -287540 divided by -57508.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3552011 * -30\nAnswer: -106560330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151 - 151. Suppose -2 - 2 = -a. Suppose -3*k - a*k = c. Solve k = -0*o - o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 295451\/3 + -99409. Suppose 4*p - h = 3607, -1851 = -4*p + 3*h + 1746. Let q = b + p. Calculate the common denominator of q and 36\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -7. Let z = 2 - w. Let q = z - -1.1. What is the closest to q in 1, -2, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -1ab2?\nAnswer: 1aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 579 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 - b**3 + 4*b**3 + (2*b + 2*b - 2*b)*(-76 + 0*b**2 + 3*b**2 + 78).\nAnswer: 8*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 555692307 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1063135.40435 and 3.\nAnswer: -1063132.40435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35198 divided by -17599\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 50 = -4*g, 5*g = 2*h - h + 48. Let v = -6\/3167 + -205807\/25336. Calculate the common denominator of 4\/g*((-78)\/(-69) - 2) and v.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v**4\/2 + 244*v**3 - 2484*v**2 + 7344*v - 1512 = 0.\nAnswer: 2\/9, 6, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -347438*d**2*j**3 + 170*d*j**3 + 989*d*j**2 wrt d?\nAnswer: -694876*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323852.5ml to litres.\nAnswer: 323.8525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 12. Suppose 4*b = f + 50, 4*b - 3*f - 39 = 15. Suppose x = -2*x + b. Solve 20 = x*q + 4*j, -t*q = 2*j - 8 - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31651.\nAnswer: 31, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17\/4*w**3 - 5\/2*w**2 + 0*w + 0 - 2*w**4 + 1\/4*w**5.\nAnswer: w**2*(w - 5)*(w - 2)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325) + sqrt(325)*-2)*4*6)**2 + (-1 + 6*-2*sqrt(325))**2)*6.\nAnswer: 720*sqrt(13) + 1404006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 620 - 615. Suppose -3*l - 493603 = 4*g, -q*g = -3*l - 277360 + 894357. Round g to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -9*f - 185 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.983 + 0.017. Which is smaller: 0.28 or a?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3951 - 1194. Let c = -1808 + o. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 2652*o**3 - 10660*o**2 - 8004*o.\nAnswer: 4*o*(o - 667)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -294, -520, -810, -1170, -1606, -2124?\nAnswer: -2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 - 104. What is the third derivative of -t*n**5 + 2*n**2 + 9*n**5 - 9*n**3 + 27 - 3*n**3 wrt n?\nAnswer: 60*n**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 3*i + 4. Suppose 4 - 27 = -d + 5*w, -3*d = w - 5. Suppose 0 = -d*j - 46 - 5. Let z = j + 12. What is l(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 493\/2893 + 3\/263. What is the third smallest value in 4, l, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-6)\/3)*6\/24*12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**5\/60 - 53*r**4\/24 + 17*r**3 + r**2 - 8*r. Factor d(n).\nAnswer: (n - 51)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 42\/4)*3\/(-30)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10005?\nAnswer: 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10151762, -10151781, -10151800, -10151819?\n\"Answer: -19*g - 10151743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 220972 + -220969. Suppose -1\/2*h**5 + 0 + 0*h + h**4 - h**2 + 1\/2*h**i = 0. What is h?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2327 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o**2 - o + 3*o**2)*(-1 - 1 + 3 + (56 - 26 + 48)*(-8 - 12 + 4)).\nAnswer: -1247*o**2 + 1247*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1071 and 40.\nAnswer: 42840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 598 = f, -f + 1186 = f + k. Suppose 0 = 4*a + 2*z - 1196, -f = -3*a + a + 2*z. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -151? (a) -2\/11 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - w - 1. Suppose h = 2*v + 1, 101*h - 96*h = -5*v - 10. Let l(f) = 3*f**2 - f + 1. What is h*l(i) + x(i)?\nAnswer: -4*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 3*g**2 + 5*g + 13. Let l be r(6). Let v = -21 - l. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*i - 21, -4*a - 30 = -5*i + 7. Suppose -2*y = 5*p - 20, y + 25 = 5*p + 2*y. What is the remainder when p\/(-21) - (-177)\/7 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 33. What is the nearest to n in 5, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 9:26 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 6\/5, 15, -54\/19, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i + 37 + 0*i**2 - 7\/3*i**3. Calculate y(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20 and -21\/191 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - (1 + 0)) + (-368 - -359)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (-56)\/7) + -3. Solve w - 1 = x*r + 5, 2*r = -5*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342 (base 5) in base 8?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1333 - 1317) + -20 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 14 - 17 = -3*l, 0 = 5*x + 4*l + 98. Let t = x + 24. Suppose -4*z = 4*m - 16679984, -t*z - 4169992 = -3*z - 2*m. Round z to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 4*p + 9 - 2, 0 = -5*p + y - 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20946414?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by 16.\nAnswer: -85\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 - 2*z + 1. What is the tens digit of s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 108\/(-11) - (-2)\/(-11). Let z(h) = -h - 11. Let a be z(b). What is the common denominator of -2\/5 and (-3 - a) + (-82)\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.013 - 0.024. What is i rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*n + 66. Suppose 16*l - 25*l = -576. What is the remainder when l is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 357?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 980 = 5*i, -i + 0 + 2 = 0. What are the prime factors of y?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + k + 17. Let s be h(6). Let z be (66\/(-12))\/(2\/(-12)). Let j = s + z. Calculate the greatest common divisor of j and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {i: 2, l: 16}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (2\/(-77))\/(350\/52675)?\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18309 and 1479.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5512 (base 12) to base 14\nAnswer: -35b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175899.5784 nanoseconds in weeks?\nAnswer: 0.00000000029083925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 + 52. Let x = -1929246634.99999973 + 1929246690. Let h = x + j. What is h rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*(-4)\/((-64)\/12). Let k = s + -8. Which is the second smallest value? (a) k (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 0)*2\/6. Suppose f = 1 + 3. Suppose -2*u - 5 = -f*w - 3, 3*u = 9. Solve -j + 3*j = -w*c + 2, c - b = 3*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7258 is divided by 291?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 - 96 + 46 + 48 - 11266*m - 41 in the form c*m + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3548*q**5 - 12*q**2 - 16763*q wrt q.\nAnswer: 70960*q**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498 + 173 + 128 + 197 - 213*h.\nAnswer: -213*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17665 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: Let 2*r**4 + 24*r**3 + 60*r**2 + 56*r + 18 = 0. Calculate r.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 4737*p - 29. Let r(w) = w. Calculate r(h(z)).\nAnswer: -2*z**2 + 4737*z - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 26*(-14)\/420)\/(5 - 4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64215.916 to the nearest 1000.\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 8) to base 15\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 12 = -2*q. Sort 2, -3, q in decreasing order.\nAnswer: 2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -5. Suppose 2 + j = 3*p. Suppose 3*z = -b + 41, 0 = -3*z - b + p*b + 45. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**11*y*y**(5\/3)*(y**(-4\/5))**5 assuming y is positive.\nAnswer: y**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 167 + 16a67?\nAnswer: 17012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -50*p - 1. Let w(q) be the first derivative of 2*q**3 + 341. What is w(t(o))?\nAnswer: 15000*o**2 + 600*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*t**3 - 10*t**3 - 3*t**3 + 177 - 10*t**3 - 62 as i + x*t**3 + f*t + r*t**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -5, -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*f - 90. Suppose -5*y - 31 = -131. Let q = 34 - y. Calculate the highest common divisor of f and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3008 - 2805 + 6083 = 30*u, -4*r = 2*u + 6 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 + -10?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - w - 22, r - 2*r - 2*w = 0. What is the smallest common multiple of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2847.9 and 234.13?\nAnswer: 666778.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a decade in months?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4658410.\nAnswer: 2, 5, 465841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 15*u - 3. Let c be x(-16). Suppose -17 = -f - c. Solve -3*k + f + 5 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4926, -8463, -30778, -62019, -102186?\n\"Answer: -4463*o**2 + 9389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 13 - 4 - 18. Let c be u(16). Let m be ((-5)\/c)\/(2\/6). What is the greatest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2988056 litres?\nAnswer: 298.8056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 1927 = -2*h, 2*h - 3863 = -2*h + y. Let o = -679 + h. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 124311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.11 - -1.59. Let s = 820 + -820. Is s at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/31, -31, 0.3, 4, 2\/9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -868\/29? (a) -0.4 (b) 4 (c) 0.4 (d) -2\/15 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5653800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2856285535 to the nearest integer?\nAnswer: 53444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 5, -2 in increasing order.\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32542 is divided by 339.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54774 = -10*t - 8*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 728*6\nAnswer: 4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85477.61 millilitres to litres.\nAnswer: 85.47761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 1:48 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903408871?\nAnswer: 903408871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) 12 (c) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*b**2 - 3*b**4 - 57*b**3 + 1196*b**2 - 3*b**3 - 7500*b + 9690 + 3435 = 0 for b.\nAnswer: -35, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/50*8*(-8)\/48.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -79*m - 83. Let z be a(-1). Do z and -100\/31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j. Let y be 2*9138\/36*3. Let c(p) = 133*p**2 - 1523*p + y*p. Give w(c(k)).\nAnswer: -133*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -507 - -506. Let x(z) = -z**3 + 6*z**3 - 4*z**3 + 3*z**2. Let n be x(-3). Which is the nearest to -0.1? (a) n (b) w (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -2, 7, 24, 49, 82, 123?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/11 + 856*c**3\/11 + 7842*c**2 - 7920*c = 0.\nAnswer: -264, -165, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 5*o + 3, -85*o + 24 = 5*w - 88*o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4*264\/165\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 0*u + 4*u)*(3*u - 6*u + u)*(-3*u**2 + 3*u**2 + 9*u**3).\nAnswer: 36*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 18*l**2 + 21*l**2 + 8*l + 7 + 7 - 38*l**2. Let r be c(-6). Let x = 4 - r. Solve 0 = -x*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 19*m**3 - 42*m**2 - 2*m - 123. Determine n(0).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 136800508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (44\/3)\/((-6)\/(-9)). Let z = 25 - h. Solve -z*f - 10 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 343*l**4\/4 - l**3\/3 - 107*l**2 - l - 1047. What is the second derivative of m(b) wrt b?\nAnswer: 2058*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -2.30505.\nAnswer: 1.30505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 127 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s - 4. Let b be l(5). Let o = 19 + b. Suppose o = -3*u + 5*u - 18. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 0*i - 1\/40*i**6 + 3\/350*i**7 + 1\/8*i**4 - 3*i**2 + 0 - 1\/100*i**5 - 1\/5*i**3. Find v such that f(v) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 485900764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3233796 and 496.\nAnswer: 12935184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/47 in 18, -19, 4, -22, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 4, l: 2}. What is prob of sequence tpp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-8)\/(-4))\/((-3)\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {b: 8, s: 2, i: 5, o: 4}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*s = 614*s - 7812 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119884 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtgtgt. Give prob of sequence tg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 175428?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + m - 4)*(-7*m + 1201 + 6*m - 1733) as r*m**2 + g*m + w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-3))\/4 - 8*-1. Suppose 4*u + 12 = 5*u. Let g = n + u. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 2. Let s(w) = w + 1. Let g(k) = -4*r(k) - 6*s(k). Let y(b) = -248*b**2 + 506*b**2 - 260*b**2. Determine y(g(j)).\nAnswer: -8*j**2 + 16*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 10. Let d be u(9). Suppose 2*v + 1722838 - 522848 = 0. Let z be 2 + (d + v)\/(-3). Round z to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27946, -27910, -27854, -27778?\n\"Answer: 10*g**2 + 6*g - 27962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 632090729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3\/3 + 3*p**2 - 10*p\/3 = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 6 in descending order.\nAnswer: 6, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n + 3*r - 5, -5*n - 6 = 4*r. Let u be 3 + 14 - (-1)\/((-4)\/56). Sort n, u, -296 in ascending order.\nAnswer: -296, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/5, -10\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 7*w**4\/4 - w**3\/3 - w**2\/2 + 3*w + 2. Let m(o) be the first derivative of s(o). What is the units digit of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - d**2 + 3*d + 3. Let f = 18 - 8. Calculate the lowest common multiple of b(-2) and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5*p - 37, -429 - 41 = 2*p + 21*f - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/2560081 or 0?\nAnswer: -9\/2560081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -660*t**2 + 157*t + 31. Let m(o) = 328*o**2 - 70*o - 15. What is -9*m(j) - 4*y(j)?\nAnswer: -312*j**2 + 2*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 230100.84 months?\nAnswer: 19.17507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 48995, -59, -4 in descending order.\nAnswer: 48995, 4, 3, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 136\/17)\/(4\/(-16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 1. Let k(s) = -s**2 - 4*s + 4. Let o(d) = k(d) - 4*m(d). Suppose -2*j + 0*j = 0. Let q(r) = r + j*r + 2*r. Calculate q(o(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 4:14 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*8\/12)\/2. Let f be (-6)\/(u*(-1 + 3)). Suppose -o + 12 = f. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*i**2 - 3885*i - 310.\nAnswer: -5*(i + 31)*(25*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*y - 12 = 2*y, 11 = g - 4*y. Suppose -g*w + 2*w = -130. Let r = 31 - w. Solve -r*l + b = -26, -l + b - 14 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*a + 5. Suppose 4*w - 3*h - 78 = 0, -a*w + 15 + 29 = h. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 3*x - 14. Let b be g(6). Solve -d + a + 1 = -0*a, -11 = b*d + a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**6\/72 + s**5\/90 - 2*s**2 + 31. Let j(i) be the second derivative of t(i). Factor j(k).\nAnswer: k**2*(5*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10122211201 (base 3) in base 2?\nAnswer: 10001100101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6e568 (base 16) in base 2?\nAnswer: 1101110010101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*x + 3, -5*g - 3*x = 23 + 47. Let s = 2 - g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2644*s - 1970*s = 32288 + 169439 - 44851 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -11. What is the lowest common multiple of n and -1 - -3 - (-4)\/2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - d - 5)*(-1 + 1 - d) + d**2 + 0*d**2 + d**2 + 16*d**2 + 110*d - 110*d + 2 to the form n*d + c*d**2 + h and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -1351\/6 = -224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2403*c**3*k**3*n**3 + c**3*k**3*n - 26*c**3*k**2*n**2 - 2*c**3*k*n**3 - 3*c**2*k**3 + c*k**2*n wrt n?\nAnswer: -14418*c**3*k**3 - 12*c**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttyyptwktdwktpydyt. What is prob of picking 1 d and 1 p?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(3*14\/(-12)). Solve 3*a = -z*n + 11, 2*a - 15 = -a - 3*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*j + 10 = 0, 2*j - 5 = -5*x + 3*j. Suppose -v + 2*v + 36725 = x. Let l = -226725 - v. What is l rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288905*n + 6499 = -289002*n for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 33028*h - 6176232. Determine o(187).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(29\/5)\/t)\/t)*t**(-4\/25))\/(t*t**(-10\/3))**(2\/7))**(-47) assuming t is positive.\nAnswer: t**(8084\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meleppcptteepep. What is prob of sequence mt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13715*r**5 + 288*r wrt r?\nAnswer: 274300*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + -352381?\nAnswer: -352391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2448) + sqrt(2448) + sqrt(2448) + (sqrt(2448) - (sqrt(2448)*-1 + sqrt(2448) + 1)) + -5)*-4 + -3 + -1)**2.\nAnswer: -39936*sqrt(17) + 2509456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367804554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -72*w**4 + 49*w**2 + 83*w**3 - 31*w**2 - 33*w**5 + 4*w**3 = 0?\nAnswer: -3, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:27 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 762.88922 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 2?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 7*v + 5. Let a(s) = -2*s**2 - 14*s - 11. What is 6*a(q) + 13*j(q)?\nAnswer: q**2 + 7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 616 + -612. Put c, 0.5, 2.3, 0.1 in decreasing order.\nAnswer: c, 2.3, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -61*f + 303. Let i be o(5). Let t = 6.4 - 6. Let d = 2 + -1. Which is the closest to d? (a) -3\/8 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11251.03194 to the nearest 10.\nAnswer: -11250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96102 + -66563. What are the prime factors of g?\nAnswer: 109, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -41*n**9\/504 - 11*n**5\/60 + n**3\/3 - 76*n**2 - 1. What is the third derivative of q(z) wrt z?\nAnswer: -4920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 605849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frrrrfrfxxxfxrrrr. Give prob of picking 2 r and 1 f.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15361 - 5.84639. What is the second biggest value in 0.3, l, 63?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 29*t**2 - 49*t + 503. Let a be i(-31). Put a, 4, -5, 41, -4 in descending order.\nAnswer: a, 41, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 greater than or equal to 236747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70107 + 112553. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 68, 141, 284, 521, 876, 1373, 2036?\n\"Answer: 4*j**3 - j**2 + 2*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/20 - -33\/140. What is the closest to -0.2 in c, -20, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, n: 14}. Give prob of picking 1 y and 3 n.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4269694 times 0.3\nAnswer: 1280908.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 537 = 7*z. Let d = -60 - z. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + 13*m**2 - 55*m + 29. Determine o(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2403 + -757. List the prime factors of z.\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 37*f**4\/4 - 25*f**2\/2 + 3. What is the second derivative of w(s) wrt s?\nAnswer: 222*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0632377824 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (178309\/45 + -2)\/(34\/877047). Let i = x - 102126472. Let u = i + -34596. Calculate the common denominator of -53\/2 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26923 + 59003. What are the prime factors of d?\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 9*x - 15. Let j be 8\/(3\/63*6). Let i = j + -34. Let n be g(i). Solve -n*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Is 52031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0*u**4 + 0 + 0*u**3 + 9*u**2 + 1\/60*u**5 + 0*u. Let g(i) = 6*i. Calculate l(g(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 0 + 1 + -6. Suppose -h - 11 = -k - 3*h, 2*h - 10 = x. Is 2\/111 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 3:14 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.073 - -0.503. Let p = 2.17 - 2.2. Let m = p + o. Which is the second smallest value? (a) 2\/11 (b) 2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*j = -4*v - 160, -j + 2706 = -5*v + 2725 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 95 = 5*b, 4*m - 145 + 24 = -5*b. Suppose m*c + 18 = -54. Put 11, c, 4 in increasing order.\nAnswer: c, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1763762 to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + 0.12. Let d = -0.04 - w. Which is the closest to d? (a) 0.3 (b) -4\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-33 + (57 - -19) - 34).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1090*r - 1082. Give q(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 12, r: 2, f: 1, a: 1}. What is prob of sequence avr?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1529\/7 or 218?\nAnswer: 1529\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*d + 10, -3 - 5 = -4*w. Let x be (-2 + 1)\/(1\/6). Let p = d - x. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75045 = -17*y - 40*y - 244221. Are -2969 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 36 (b) 0.3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d**(3\/11)\/d)*d)*(d*d**7)\/d assuming d is positive.\nAnswer: d**(58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*v + 94*v + 77*v + 93*v + 116*v - 586*v + 94*v.\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 13*f**2 + 10*f + 9. Let d = -10 - -18. Suppose 3*n + 44 - d = 0. Let x be l(n). Calculate the greatest common divisor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 210 - 210 = 0. Let k = f - 66. Find the second derivative of -8*j**4 - 29*j**k - 8*j + 16*j**4 wrt j.\nAnswer: -252*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000949954967 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 251, 250, 249, 248, 247, 246?\n\"Answer: -s + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60017?\nAnswer: 60017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/5 - 71*v**4\/5 - 140*v**3 + 644*v**2 + 4976*v\/5 - 7424\/5 = 0. What is v?\nAnswer: -58, -16, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)\/((-4)\/8). Let z = 7 - 5. Put o, 4, z in descending order.\nAnswer: 4, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 6*p - 2*p)*(-1 + 1 + 5)*(20*p - 20*p + 1 + 19*p**2).\nAnswer: 95*p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1465 - -172. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 667 - 669. Which is greater: 280 or r?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85438415 to the power of 1\/2, to the nearest integer?\nAnswer: 9243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/8*-1)\/((-75)\/12). Do 2\/7 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12684201, 25368435, 38052719, 50737077, 63421533, 76106111, 88790835, 101475729?\n\"Answer: 4*z**3 + z**2 + 12684203*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4aa9 (base 15) in base 14?\nAnswer: 5b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2415 - 2874 = -3*v. Solve 150*l - 12 = v*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*g + 1498 - 1658 + 1335 = -2740 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*r**2 + 21*r**2 + 14*r**2 + 87*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*f**3*i - 1195*f**3 + 2*f**2*r**2 - 18*f*i*r**2 wrt i.\nAnswer: 102*f**3 - 18*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 31 (b) -3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393335 = 9111*s - 81218 + 243654 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -86. Suppose -4*o + j + 13 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1582, 2308, 3034, 3760?\n\"Answer: 726*o + 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 265073 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/(-21) + 894\/(-45). Let u = i - -18. Which is the closest to 2? (a) 3\/14 (b) -1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169 + -169. Let u be -3 - j - (30 - -1). Which is smaller: u or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 297, 381, 539, 795?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 + 6*f. Let i(o) be the first derivative of -2*o**3\/3 + 5*o**2\/2 + 7302. Give -4*i(h) + 3*m(h).\nAnswer: -h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 8*l**2 + 2*l + 12. Calculate x(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117828589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*j - 337*j + 12311 - 12313.\nAnswer: -505*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10*(-35)\/(-14). What are the prime factors of (-8)\/(-5 + x) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -28*r - 681. Let y(q) = q. Calculate c(y(z)).\nAnswer: -28*z - 681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16102344, -32204691, -48307038, -64409385, -80511732, -96614079?\n\"Answer: -16102347*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 680.1057876 - 202.208294. Let d = a + -317.89756. Let f = d - 160. Round f to 6 dps.\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*r - 24, 5*r = -3*z + 4 + 24. What is the common denominator of (12\/(-144))\/(z\/(-20)) and 103\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 203332436.58402279 + -203332438. Let a = 1.404978 + k. Let x = a + 0.011. Round x to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Let o be ((-8)\/(-2) - n) + 0. Let r = o + 1. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgggggjvggggvvgjgjj. What is prob of picking 4 j?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3989*j - 3989*j + 1469*j**2 to the form f*j + p + y*j**2 and give y.\nAnswer: 1469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.43 (b) -42 (c) 0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 6:33 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5535, 6\/149, -4, 3?\nAnswer: 5535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -324*j**2 - 150*j**2 - 279*j**2 + 4*j**2 - 45*j**2 to the form b + a*j + c*j**2 and give c.\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -259\/30 - -134\/15. What is the common denominator of -133\/60 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4318 and 33\/304198.\nAnswer: 38633146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 + 15*i**2 - 15. Let s(h) = -7*h**3 + 8 + 3*h**3 + 8*h**3 - 8*h**2 - 5*h**3. Calculate -11*s(b) - 6*z(b).\nAnswer: -b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.227924 + 2.\nAnswer: -1.227924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.89 in -1\/3, 0.1, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*j + 2 - 11, 3*j - 15 = 2*b. Which is smaller: j or 72\/29?\nAnswer: 72\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:05 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k**3 - k**2 + 2*k + 4. Let n be z(-1). Let o be 9\/1 - (n - -3). Suppose -o*i + 155 = -131. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 7*n + 2. Let y be g(-7). Suppose y*i + 2*i + 12 = 0. Which is the nearest to 0? (a) i (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 471279989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 1034 and 1019 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f - 4*f)*(-1 - 1 + 1)*(-1 + 6 - 4).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 0.3 (c) 119\/6 (d) -2.3 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 161 divided by 41\nAnswer: 161\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 16. Suppose -6 = 5*m + 4. Let s be 0*(m - 5\/(-2)). Sort 1, s, q.\nAnswer: s, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -33144, 2\/9, 0.5, -4\/3, 2?\nAnswer: -33144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 3*k**2 - 40*k.\nAnswer: k*(k - 5)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * 3795.9.\nAnswer: 102489.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s. Let z(t) = -11. What is 2*l(q) + z(q)?\nAnswer: -2*q - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723160.8ns to seconds.\nAnswer: 0.0007231608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -11*d**2 + 9*d - 11. Let r(x) = -2*x - 2. Let z(t) = -t - 1. Let o(q) = 6*r(q) - 13*z(q). Let i(v) = -h(v) - 6*o(v). Is i(4) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11633b - 5?\nAnswer: -116341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47004 and 858888?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + -2 + -8 + 18\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.384*-0.035194\nAnswer: -0.013514496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * -0.04\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 0) + -66 + 66 - -41?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence diw when three letters picked without replacement from ibdwdsw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 18)*(-2*w**2 + 0*w**2 + 5*w**2) to b*w + s*w**2 + l and give s.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 5:38 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w*x**3 + 30*w*x - 4780*w + 10*x**2 wrt x?\nAnswer: 6*w*x**2 + 30*w + 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:56 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 23*x**2 - 2900*x + 199. Calculate l(126).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3754 and 48.\nAnswer: 90096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -552519572*a*v**3 + 694*a + v**4 + 411763 wrt v.\nAnswer: -1657558716*a*v**2 + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2864*v. Let o(r) = -r**2. Give y(o(l)).\nAnswer: 2864*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m + 3 - 3)*((0*m + 0*m - m)*(3*m**2 - 4*m**2 + 2*m**2) + 0*m**2 + 0*m**2 - m**3 + (3*m**2 + m**2 - 2*m**2)*(3*m + 3 - 3)).\nAnswer: -56*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74954 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 + s**3 - 16633489865344*s**2 + 16633489865344*s**2.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2373386 + 0.4.\nAnswer: 1.6373386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81310 and 5405.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = -2*p. Suppose -8 = -3*c - 2*q, 0 = -2*q - p*q - 4. Calculate the remainder when 9 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291816*o + 2847 = -291743*o for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/169 and -51\/198913.\nAnswer: 198913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*d + 27 - 43 + 16.\nAnswer: -104*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 84*z**2 - z - 2. Let y be b(-1). What is the units digit of (y - (-2 + 6)) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6744461864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86 - -11a3?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 150800916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -5, -1\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and -315.\nAnswer: 11970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 7 = 3, -4*t - p = -9019. Suppose 4*s - 4*g - g - 3009 = 0, -4*g = -3*s + t. Is s a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295 + (-3)\/((-6)\/(-10))?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -3, -4, 5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110980*h + 110384*h - 221888*h.\nAnswer: -524*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (75\/(-9))\/(91\/(-546)). Let r(u) = -11*u + 6. Let h be r(5). Let i = z + h. What is the lowest common multiple of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1202175 and 375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -86, -73, -54, -29, 2?\n\"Answer: 3*l**2 + 4*l - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a = -2*w + 103177, -51602 = -w - 3*a. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/20*5)\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33293159?\nAnswer: 33293159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38441 is divided by 2374?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -307.7866 rounded to 0 decimal places?\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.85 - -1.15. Let u = 0.6 - 1. Let f = -0.3 - u. What is the nearest to -0.2 in f, 0.4, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 0*j + 3\/10*j**2 + 1\/5*j**3 + 6. Let a(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71.89 + -71.93663. Round n to 3 dps.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwtq when four letters picked without replacement from wqtqmw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(-3)\/(9\/3). Suppose -2*z = -3*x + 62 + 51, d*z + 5*x = -270. Let g be 5\/(z\/(-6)) - 0. Which is the smallest value? (a) g (b) 1\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28.5 - -28.5016. Let s = v + 1.5984. Which is the second smallest value? (a) -3\/2 (b) s (c) -0.4 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + 0.2. Let r = -0.2 - 0.2. Which is the third biggest value? (a) r (b) y (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 4:56 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37447 or -37446?\nAnswer: -37447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**36*d**(1\/4)*d**(-2\/9))\/(d**15\/(d*d**(-2)*d*d*d**(-2))) assuming d is positive.\nAnswer: d**(721\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9977 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v - 10 = 0. Let m(c) = -2*c**2 + 6*c + 7. What is m(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217237.\nAnswer: 7, 173891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -4*o + 51. Suppose -3*t + 0*t + 15 = 3*r, -5*t + o*r = -9. Solve 2*l + t*j + 8 = 0, l + 2*j - 1 + 5 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-204)\/(-40)*(-20)\/(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -545.7 rounded to the nearest 10?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 396?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + k - 4*k)*(-k + k + 2*k) + (1775*k - 619*k - 695*k)*(-2*k + 1 - 1) as j*k**2 + u + q*k and give j.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 27. Let v = -15 - d. Let q = 16 - 14. Which is the nearest to -1? (a) q (b) v (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -328.47 + 330. What is m rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from swj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -642, -633, -624, -615, -606?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-192)\/(-5) - (-6)\/(-15)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4593 divided by -1.\nAnswer: -4593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Suppose -2*p = p - 126. Let h = p + -48. Sort -0.1, h, o in increasing order.\nAnswer: h, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 454120 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**6\/30 - 2*b**5\/15 + 22*b**2. Find the third derivative of g(m) wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - j**2 + 1. Let q(l) = l**2 - 1. Let o(w) = w**2 + 8*w - 24. Let t be o(-10). Give t*a(u) - 4*q(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**3\/6 + 9*p**2\/2 - 2*p. Let o be w(-7). Let g = o - 1. Which is the closest to 2? (a) -3\/4 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 3.1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -3*w**5\/10 - 2*w**3\/3 - 6*w. What is the second derivative of g(k) wrt k?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101130?\nAnswer: 2, 3, 5, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*q = 10*q + 29*q + 81. Sort -8\/11, 0, -0.2, q in descending order.\nAnswer: q, 0, -0.2, -8\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1580, -3235, -4890, -6545, -8200?\n\"Answer: -1655*z + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 - o + 1. Let x be n(-3). Let y = -23 - x. Is -1\/5 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1849612677 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxl when three letters picked without replacement from xlwqs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1720, 3413, 5106, 6799, 8492, 10185?\nAnswer: 11878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.38. Let y = q - -0.42. Put -3, y, -2 in decreasing order.\nAnswer: y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 16. Let a = c + 16. Let -2\/7*s**a + 0 + 2\/7*s = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3704, -29620, -99944, -236876, -462616, -799364?\nAnswer: -1269320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 856 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19391543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/5 - 71*a**4\/5 - 44*a**3 - 148*a**2\/5 = 0. Calculate a.\nAnswer: -2, -1, 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.069 + -15. Let s = 0.021 - f. Round s to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2510)\/(-3514)*(-28)\/(-130)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/5220 and -59\/585?\nAnswer: 67860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 5*f**2 + 2*f + 3. Let s be n(5). Suppose 0*v - 28 = 4*v. Let p = s + v. Calculate the lowest common multiple of p and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*(-4*(-3 + (sqrt(272)*2 - sqrt(272))) + -3))**2.\nAnswer: -70928 + 4608*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/66 and -6\/5?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 9*m**2 - 12*m - 13. Suppose 10 = 2*z - 38. Suppose -c = z - 16. What is the tens digit of q(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (20 + -19 - 18 - -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 + 15*w - 48. Let m(v) = -21*v + 20*v**2 - 10*v + 91*v - 191. Let b(s) = -2*m(s) + 9*y(s). What is k in b(k) = 0?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1, -1079 in increasing order.\nAnswer: -1079, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/2 - (-4 + (-75)\/(-9)). Let d = 11.2 - 10. Let m = -0.8 - d. Which is the nearest to 1? (a) m (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2 + 4. Let s = d - -5. List the prime factors of s\/1 - (-4)\/2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {z: 2, w: 1, t: 1, x: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121321\/18 - 6742. Calculate the common denominator of b and 71\/36 + 2\/(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x - 1046 = -458 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 14*z**2 + z + 31. What is the tens digit of m(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -14*m**2 + m + 1. Let y be b(1). Does 17 divide 325\/20 + y\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 37824858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.55.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/133675980 and 91\/277408?\nAnswer: 1069407840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 4*j + 0*j)*(0 - j + 0)*(-24 + 24 + 3*j) in the form x*j**3 + k*j**2 + v + i*j and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -170\/7, 15.97, 0.1 in descending order.\nAnswer: 15.97, 0.1, -170\/7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 0.118 + -17259878.671\nAnswer: -17259878.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 4*h**2 - 3*h**2)*(-3 + 5 - 4)*(-644 - 136 - 551).\nAnswer: -2662*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02238*7.\nAnswer: 0.15666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 + 17*h - 17*h + (0 + 2*h + 0)*(h + 3 - 3))*(h + 2*h - 2*h) + 3*h**3 - 5*h**3 + 3*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**5 + 33*s**4 + 78*s**3 + 48*s**2 = 0.\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 176 - -87. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Suppose 23 - i = f. What is the remainder when f is divided by 10 + (-1)\/(-2)*4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**0)\/v**(-1\/2))\/((v*v**(-13\/2))\/(v\/v**(-3\/16))))**(-1\/13) assuming v is positive.\nAnswer: v**(-131\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1542?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 - -94.4. What is the smallest value in p, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 436 = -0*s + s, -3*z - 1322 = -4*s. Let r = 7444\/17 + z. Suppose -w - 3*w = 0. Is w bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*h - 4, u - 16 = -3*h - 0*h. Suppose 775 = 9*j + 739. Solve -j*g + 8 = 5*n + 18, -4 = 2*n - u*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1464 and 0.3.\nAnswer: -439.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2252.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1016 + 1018. What is the smallest common multiple of v and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13092390 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -244, -478, -722, -982, -1264, -1574, -1918?\n\"Answer: -f**3 + f**2 - 230*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 735456\/13 - 56248. Suppose -184\/13*x + h + 2\/13*x**2 = 0. What is x?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 2, -163, -19, 5, 9, -4.\nAnswer: -163, -19, -4, 3\/7, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y + 4. Let m(b) = -b - 1. Let l(p) = -i(p) - 4*m(p). Suppose -t + 1 + 1 = 0. Let u(k) = t - 2 - k. What is l(u(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let s = -53.2 + 53.3. Let x = 0 - 5. Which is the closest to s? (a) -3 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -6.9906?\nAnswer: -27.9624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -63. What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o**3 + o**2 + o - 1. Let m be r(1). Let s = -5 - m. Solve -3*a = s - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.215 - -10.981. What is n rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7054\/1277 or 5?\nAnswer: 7054\/1277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a millennium in centuries?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 3. Let z = -12 + 15. Let j(f) = -4*f**3 - 2 + 4*f**3 - 2*f - f**z - 2*f**3. Let p(o) = -7*o**3 - 5*o - 5. Give r*p(k) + 5*j(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -50*r - 14. Let w be b(4). Let l be 14\/42 + w\/3. Let t = l + 71. Solve t = 7*f - 2*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1754846*i**6 - i**5 - 23*i**2 - 9*i - 774.\nAnswer: -210581520*i**3 - 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*((-1 + sqrt(700))*-4 + 5*(sqrt(700) - (sqrt(700) + 0)) + 4*(2*sqrt(700) + sqrt(700))*3)**2.\nAnswer: 15360*sqrt(7) + 4300895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 954474395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -227000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118 and 590.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 29, 90, 201, 380?\n\"Answer: 3*r**3 - 2*r**2 + 14*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqynwqn. What is prob of picking 1 w and 2 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Evaluate (-2 - 14\/(-5))\/(12\/(-30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 972 and 1548.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21035 (base 10) to base 2.\nAnswer: 101001000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 1\/60*l**5 + l**2 + 0*l**4 + 0*l**6 + 0*l + 1\/336*l**8 + 0*l**3 + 0*l**7 + 0. Find the third derivative of z(o) wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.849 + 0.649. Which is the nearest to i? (a) 3 (b) 1 (c) 0 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54313*h + 107445*h - 53136*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 4*x - 3*x)*(178 - 178 - 53*x) + 8*x + 4*x**2 - 8*x + (3*x - 2*x - 2*x)*(-3*x + 3*x + 2*x).\nAnswer: -316*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 7:29 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-5\/6)*o*o*o)\/(o*o**(1\/19)\/o)*o**(-8)*o*o*o\/o**(-25)*o*o)**(-34) assuming o is positive.\nAnswer: o**(-48671\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4205?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33\/5 of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5\/3 + 1066*t**4\/3 - 147796*t**3\/3 + 1535252*t**2\/3 - 1598190*t + 1135350 = 0?\nAnswer: 1, 5, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 46.5. Let d = 19 - n. Let s = -1 + 0. What is the second biggest value in 1, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(1\/((-21)\/(-21)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28031432 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 27017, 7, -21, 4 in increasing order.\nAnswer: -21, 4, 7, 27017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43522.\nAnswer: 2, 47, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 47226, 22, 1\/4, -4\/7.\nAnswer: -4\/7, -0.4, 1\/4, 22, 47226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-75)\/(-78) + (-2)\/4. Let k(w) = -2*w**3 - 7*w**2 - w - 85. Let c be k(-5). Sort c, -7, u.\nAnswer: -7, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 381, 813, 1407, 2163?\nAnswer: 3081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) - (sqrt(136) + sqrt(136) + (sqrt(136) - -1*sqrt(136)))) + sqrt(136) - sqrt(136))*4)\/sqrt(8).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30236855263.719 + -30289489753. Let x = -52634140.28099599 - o. Let i = x - 349. Round i to 7 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1034.99997889 - 1035. What is k rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -540787, -540664, -540563, -540490, -540451, -540452?\nAnswer: -540499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1174286, 1174291, 1174296, 1174301?\n\"Answer: 5*n + 1174281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 16116700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + w + 1. Let i(o) = -o**3 - 11*o**2 + 11*o + 11. Let d be (-218)\/5 - (-28)\/(-70). Determine d*j(b) + 4*i(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 4:17 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-4 - 0) + (-11 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 532 and 76608?\nAnswer: 76608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*o**3*v - 338*g**3*v - 4*g**2*o**2 + 37*g**2*o*v - 3*g*o**3*v wrt g.\nAnswer: 12*o**3*v - 2028*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.757 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.478649, 1, -3\/410?\nAnswer: -3\/410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2\/((-252)\/42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61923, 126192, 190461, 254730?\nAnswer: 318999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1 = -b - 2, -10 = -4*b + 2*k. Suppose z = 4*z - 4*s - 274, -b*z + 201 = s. Calculate the remainder when z is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -570*a**3 - a**2 + 30*a + 85. Is n(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -0*t + r + 2, 2*t + 38 - 70 = 2*r - 36 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 - 5*f**3 + 12*f**3 - 144*f + 4*f**3 - 161*f + 305*f.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15312 divided by 33\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m + 16. Let w be j(-5). Let h(k) = k + 7. Let q(f) = 1. Let o(u) = -h(u) + 2*q(u). Determine o(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22775 - -22740. What is the biggest value in s, -1, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5 = -45. Let o be (-18)\/((-22)\/l - 2). What is the least common multiple of o\/(-30)*(8 - -2) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324073071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 8 = -4*u - p, 4*u - 5*p = -28. Let f(y) = 6*y**2 - 2*y + 1. Determine f(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-2\/19))*q)\/q)**(2\/29)\/(q**(17\/4)*q\/q**19) assuming q is positive.\nAnswer: q**(30289\/2204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5068.62514 rounded to the nearest ten?\nAnswer: -5070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*x - 12 = 0, -2 = -4*b - 2*x + 22. What is the greatest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjuajujuujf. What is prob of sequence af?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -281509, -1126145, -2533913, -4504819, -7038869, -10136069, -13796425?\n\"Answer: -c**3 - 281560*c**2 + 51*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3689, 3776, 3927, 4148, 4445, 4824, 5291, 5852?\nAnswer: 6513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/14? (a) -19\/2 (b) -2 (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 760 and 380.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p**2 - 2*p**2 - 2*p**2)*(-p + p + p) - 90*p**3 - 162*p**3 + 4*p**3 to x + l*p**3 + y*p**2 + v*p and give l.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2300 + 2305. Let c be 2\/4*(-6)\/(-1). Find the second derivative of -3*r**3 - 4*r**c - 2*r - 2*r - t*r wrt r.\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18923 + -18919. Solve 5*k - k - 9 = 5*d, -2*k = x*d + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/(-147)*7\/(-4). Let n(z) be the first derivative of -1\/3*z**3 - 3*z + m*z**4 - 1\/2*z**2 - 4. What is n(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526, -513, -464, -361, -186, 79, 452, 951?\nAnswer: 1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by -40\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/(-2) - -3)*12. Let i = 13 + k. Let s(o) = -o**2 + 8*o - 2. Does 2 divide s(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = 3*f, -2*x + 4*f - 28 = -3*x. Let a = 67 + x. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 0 + 6398*d - 5.\nAnswer: 6398*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*i + c + 14, 0 = 4*c + 20. Let u be 1\/(-2)*-5*-2. Let s = u + 8. Solve 11 = 2*q + s*j, 4*q + 2*j = -2*j + i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -189 + 139. What is the tens digit of (-18)\/(-15) - 19690\/t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from xztsmxmszsxttzss.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u**2 + 0*u**2 + 198 - 1177.\nAnswer: 17*u**2 - 979","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87 in -0.3, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:23 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3 + 0.3. Let t = 14.1 - 13.1. What is the closest to t in -2\/9, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 + -1 - (74 - 66)) + 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/24)\/(3 - (-81)\/(-28)). Let o = 443\/78 - j. What is the second smallest value in 5, o, -1\/2, 0.04?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(32))*3.\nAnswer: 6 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-117) - (-2 - -4)*3\/54?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4*(-1)\/3. Let z be ((-16)\/(-3))\/(-4)*35\/28. Which is the biggest value? (a) 0.4 (b) 2\/7 (c) z (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*o**2 - 2 + 2*o**2 + (235*o + 152*o - 762*o)*(-2*o + o + 3*o).\nAnswer: -751*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1995506079 to the nearest 10000.\nAnswer: 1995510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 58 (c) -0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-7)\/(-84)*12 + 3023 and 864.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181 + 183. Suppose l = -2*u - j, 3*l + 0*u - 14 = -u. What is the least common multiple of l and (1 - -7)\/(3\/3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 6*l - 11\/2.\nAnswer: -(l + 1)*(l + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**2 - 389088*p + 114046128 = 0.\nAnswer: 294, 96978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -24. Let r be p\/4 + 35\/10. Suppose -2*a + r*k + 273 = 0, -6*a - 4*k - 412 = -9*a. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14307*l*v - 2529572*l + 676*v + 3 wrt v?\nAnswer: -14307*l + 676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1. Let u(h) = h. Let o be (-2)\/4*(-6)\/(-3). Let f(d) = o*b(d) - u(d). What is the first derivative of f(v) wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/4))**(-13)*(k*k**(-1))**(5\/6) assuming k is positive.\nAnswer: k**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8592848 (base 11) in base 3?\nAnswer: -1001102211101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 681 - 123 = 84*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 4:38 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227513936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1401831.264 to the nearest one hundred.\nAnswer: 1401800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddhqdqd. Give prob of sequence qddq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goooooogoooggoog. Give prob of picking 1 o and 1 g.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/(-4)*6\/(-15)*10*(-8)\/24?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**4 + 8732*x**3 + 3*x + 205?\nAnswer: -24*x**2 + 52392*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -2)*4\/(-6). Let a(t) = t**2 + 10*t + 16. Let o(m) = -1. Let v(h) = p*o(h) + a(h). Does 15 divide v(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - 5*u + 7. Let f(i) = -2*i**2 + 3*i - 4. Let y be 4\/(-12) + (-8)\/(-6). Suppose 0 = -w + 5 + y. Give w*x(z) + 10*f(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240265716.\nAnswer: 2, 3, 19, 37, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*y + 16*y + 46505 = 221*y + 32*y for y.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p + 4*p + p)*(-2*p**2 + 2*p**2 - p**3) + (0*p + 0*p - 4*p**3)*(243 - 42*p - 243))*(-p + 3*p + 0*p + 1).\nAnswer: 332*p**5 + 166*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h + 13 = w, -4*h + 5 = -5*w. Does 31 divide 90 + ((-9)\/(-3) - w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -3, 1\/49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1347, 4862, 10543, 18390, 28403?\nAnswer: 40582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*t, 5*w + 6*t - 22738 = 2*t. Does 130 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 65.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 12 = -l, -108 = -5*v - 3*l. Suppose -5*k + 6*n = 2*n - v, -k + 5*n + 9 = 0. Let a = 1086 - 4347\/4. Sort 0.3, k, a in decreasing order.\nAnswer: k, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*a, 0 = -5*c - 4*a + 221 - 55. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3579028 and 6.\nAnswer: 21474168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5496 is divided by 791.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 161\/4 + -41. Let t = 0.1 - 0.1. Let f = 0.1 + t. Which is the nearest to 0.1? (a) f (b) 1\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175498521?\nAnswer: 3, 11, 483467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*r - 8*r - 5*v - 1, -r - 2 = v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 150510 to the nearest 1000.\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3 + 464701*y**2 + 10223059*y + 56226159 = 0?\nAnswer: -464679, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -47*1136\nAnswer: -53392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28707338 - -2?\nAnswer: 28707341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2761\/2 - 1338. Calculate the common denominator of -5\/22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-60) - 22\/(284 - 20). What is the nearest to 0.1 in 5, 0.8, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k + 3. Let z(i) = 2*i**2 - 13. Let t(n) = -n**3 - 10*n**2 + 9*n - 19. Let j be t(-11). Let d be z(j). Suppose -5*y - 10 = d. Give u(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 650, -6\/13, -0.9?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -k + 5*t, 3*k + 2*t - 1248 = -k. Suppose -d = 4*a + k, -3 = -a - 2*d - 74. Let q = -34 - a. Calculate the highest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2599 - 1423. Let o = k + -1268.1. Let h = o - -92. Sort -0.6, -2\/7, h.\nAnswer: -0.6, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -600 and 274016642.7.\nAnswer: 274016042.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -213 - -21310040?\nAnswer: 21305423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -12. Let l = u + 5. Solve -2 = l*h - 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = -d - 4*w - 94, -2*d + 3*w + 12 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 25.917513 months?\nAnswer: 0.00215979275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 4*w + w)*(43 - 35 + 71).\nAnswer: 553*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3582945*d + 2367040?\nAnswer: -3582945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 54 = 64, -w + 23973 = 5*k. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -3\/64744298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 4:13 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -53. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0382292 * -30\nAnswer: -1.146876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 15246*z**2 - 11*z**3 + 15246*z**2 + (-1 + 0 + 4)*(0*z**3 + 5*z**3 - 2*z**3) to t + d*z**3 + m*z**2 + b*z and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -916\/3 or 2\/7?\nAnswer: -916\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 186?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/18*2\/4*(-243)\/(-702)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**3 - 31*j**2 + 5*j - 17. Let f be m(-8). Suppose 3*d - f = -10. Which is the nearest to d? (a) 5 (b) -2\/9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*((-5)\/(-2) - 3\/2). Let v(c) = 2*c**2 + 16*c - 2. Let i be v(d). Let q = i + 19. Solve -2*a = -3*b - 17, a + 0*b - 13 = q*b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 8:02 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100110100 + -110010?\nAnswer: 1010100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + -1.71. Let j = -1.69999964 - l. What is j rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45422278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 20, 45, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*m - 6*m**4 - 10*m**4 - 13*m wrt m?\nAnswer: -192*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + -78 - 2\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221504217981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**7)*t**12*t)\/(t**(1\/2)*(t\/(t\/(t\/t**(-2\/9))))\/t) assuming t is positive.\nAnswer: t**(347\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 262\/108 - (-15 - (-4433)\/297). Which is the closest to -1? (a) 26 (b) -1 (c) z (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 30*t + 28. Let d be q(7). Let o = d - 209. What is the highest common divisor of 377 and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -261 - -452. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 95*r - 83*r - 7. Solve -9*i + 12 = -4*k - 14*i, -r*i - 20 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 = 5*c, -1 - 5 = -n - 3*c. Suppose -3*f + n*b = -b - 64, 8 = 4*b. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-3)\/((-3)\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8486539, 8486525, 8486493, 8486437, 8486351?\n\"Answer: -a**3 - 3*a**2 + 2*a + 8486541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*q - 2*q + 3*q)*(-3*q + 0*q + 5*q) + (2*q - 2*q - 3*q)*(0 + q + 0) - q**2 - q + q)*(-5*q - 2*q + 4*q)*(-10 - 12 + 14).\nAnswer: -48*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3712 + -3711.7331. Let k = -0.0579 + b. Round k to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -14. Let z(u) = -7009*u**3 - 8*u**2 + 9*u + 8. Let i be z(t). Round i to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58479 - 29241 - 7*t**3 - 29238.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(4\/9))**50 assuming q is positive.\nAnswer: q**(700\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001491962916 rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 5 - 4)*(3*p**2 - 3*p**2 - 2*p**2).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2444885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -2506*x**6\/15 - 2977*x**2 + 897*x. Find the first derivative of c(o) wrt o.\nAnswer: -20048*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 45\/(-18)*(7 - 8589\/35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 48*d - 675 = 0. What is the smallest common multiple of d and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 m, and 1 q when three letters picked without replacement from {x: 4, p: 6, f: 2, m: 1, t: 2, q: 4}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 0 = -6. What is the second biggest value in -0.4, -1\/4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (1 - (0 + -2)). Solve -8 = d*j, 0 = -6*i + 4*i - 4*j - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(2\/9)*r)\/r)**44)**(-30\/13)\/(((((((r*r**(5\/3))\/r)\/r)\/r)\/r)\/r)\/(r\/(r\/(r*r**(4\/3)))*r))**(2\/5) assuming r is positive.\nAnswer: r**(-23758\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 10:36 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3998 + -3998.344. Which is the smallest value? (a) w (b) 0.4 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3609 not equal to -119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-3 - -10) - 2 - (6 + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = f - y + 30, 0 = -5*f - 5*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/7 - 7036*b**4\/7 - 2183022*b**3\/7 + 2190060*b**2\/7 = 0. Calculate b.\nAnswer: -3174, -345, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, 2, 4, 4\/7, 7\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k - 17. Let i(z) = z + 5. Let j(w) = 2*i(w) + v(w). Let l(h) = -2*h + 3. Determine -3*j(c) - 7*l(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 8*z**2 + 7*z + 1. Let v be t(-7). Let f be 28\/8 - v\/(-2). Calculate the highest common divisor of f and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.97770919 rounded to one dp?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 10:25 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8600939 to 3 dps.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7161.933cm in millimeters?\nAnswer: 71619.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27322?\nAnswer: 2, 19, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + (-6 - -6 - 5) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.7 and 6681324452254.\nAnswer: 6681324452241.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886 is divided by 310.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3232544175 to the nearest integer?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h = 45908 + 55884. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -153 (c) 0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2571, 20391, 68739, 162873, 318051, 549531, 872571?\nAnswer: 1302429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2fd - -2b77?\nAnswer: 2e74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1 + 2*a**2 - a**2 - 2*a**2 - a**3. Suppose 0 = 29*v - 34*v + 25. Suppose -p + 3 = -z, v*z - p - 12 = -5*p. Give l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -440.5 and -0.2.\nAnswer: -440.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 36760.\nAnswer: -36758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 330, 668, 1006, 1344?\n\"Answer: 338*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 50, 3 in descending order.\nAnswer: 50, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1851301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 311 - 319. Let h(v) = 7*v + 71. Let p be h(r). Solve -11*s + p*s - 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 394892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**4\/4 + 13*r**3 + 507*r**2\/2 - 35*r. Suppose y(n) = 0. What is n?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**(3\/19)\/r)\/r*r*r*r\/r**(-1\/14))\/((r*r**(-2\/23)\/r*r)\/r*r)**(-16))**(3\/10) assuming r is positive.\nAnswer: r**(327399\/61180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-44)\/198 - 1469\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/(v**(1\/8)\/v)*v))\/((v*v\/(((v\/v**(2\/23))\/v*v)\/v))\/v))**10 assuming v is positive.\nAnswer: v**(-3645\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4430501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, 0.2, 1, -1.83?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6682, 26709, 60098, 106855, 166986, 240497, 327394?\n\"Answer: m**3 + 6675*m**2 - 5*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1323 - 1269. Calculate the greatest common divisor of 414 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - o - 4*o)*(-5 + 0 - 1)*(3 - 1 - 1).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 5*n - 2. Calculate the remainder when 15 is divided by o(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f**2 + 28*f + 4. Calculate r(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 144\/69 + ((-426)\/138 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6)\/(2\/6). Let f(y) = 2*y**3 + 10*y**2 + 4*y + 17. Let w be f(-5). Let t = 450\/7 - 64. Which is the closest to s? (a) 1\/5 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 76, -4, -12, -77.\nAnswer: -77, -12, -9, -4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 6) in base 14?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 369, -5, -2\/3, 5, -5\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - w + 3. Let v be p(0). Suppose -28 = -h - v*h. Suppose 264 = h*b - 3*b. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.93708 years in decades?\nAnswer: 0.693708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a day?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11616 divided by 66?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 924831881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - -12. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5\/2 - 111*v**4 - 2643*v**3\/2 - 3696*v**2 - 270*v + 5400 = 0.\nAnswer: -60, -10, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**2*o*s**3 + 3*g**2*o*s + 131*g**2*s**2 - 9*g*o*s - 4*g*s**2 + 3*g*s + 4*o*s**3 - 2*o wrt g?\nAnswer: 8*o*s**3 + 6*o*s + 262*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/4737 in -0.1, 2.1, -2\/13, 51?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Let h(w) = 29*w - 157. Let i be h(14). Let r = -247 + i. Calculate the smallest common multiple of u and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 902, -5, 4 in decreasing order.\nAnswer: 902, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 2. Let n be (-9)\/(-6) + (-1)\/(-2). Let q be a(n). Suppose -m - 5*s = q - 0, m + s + 2 = 0. Solve -t + m = -3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -9. Let w be (-21)\/(-14)*(-16)\/6. Is 8 a factor of ((-6)\/w)\/((-3)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 63*x**2 + 12. Let p(m) = 572*m**2 + 110. Let b(d) = 55*h(d) - 6*p(d). Let n(v) = -13*v. Determine n(b(j)).\nAnswer: -429*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 31 - 30 + 61.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 5*m - 1, -4*m = 3*g - 4*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7342.\nAnswer: 2, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c - 2. Let t(a) = -6*a**2 + 57*a + 4. Determine 2*o(d) + t(d).\nAnswer: -6*d**2 + 51*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((68\/(-6))\/(-17))\/((-2)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792102*x - 396048*x - 396013*x.\nAnswer: 41*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbb when three letters picked without replacement from bqbqqbbqqqbq.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0661 - 0.400160262\nAnswer: -0.466260262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.463 + -0.537. What is the nearest to -1\/5 in -155, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = d - 9, 374*n = 378*n + 4*d - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 766589 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 48?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - z - 1. Let y(j) = -6*j - 6. Let x be 8\/(-14)*(-1)\/(14\/49). Suppose -x*c + 233 - 231 = 0. Calculate c*y(u) - 6*b(u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0882 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 2*a**2 - 53*a + 99. Give b(-8).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -995, -59, -1 in increasing order.\nAnswer: -995, -59, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*h**2\/2 + 243*h\/2 - 5 = 0. Calculate h.\nAnswer: -5, 2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 24 = -l - 2*a, -4*a = 4*l - 32. Let d(t) = t**3 - 3*t**2 + 18*t - 20. Let g be d(8). Suppose 0 = -l*s + 7*s + g. Is 37 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 + 8*u - 8. Let y(a) = -a**2 + 3*a - 3. Let n(j) = 3*g(j) - 8*y(j). Let w(i) = -19*i**2. Calculate w(n(h)).\nAnswer: -19*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8244 - -7584096.\nAnswer: 7575852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/15)*p)\/((p*p\/(p\/p**(2\/9))*p*p)\/p*p)*p**4\/(p**(6\/5)\/p) assuming p is positive.\nAnswer: p**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 - -1222?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -7)*(1 - 1). Solve -2*t - r = q, -2*t - 5*r + 7 = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 550 - 598 = 0. Suppose -13 = -4*v - 5. Suppose 4*s - 6 = v*s. Solve s*q - 6*b = -b - 19, u = 2*q + 5*b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - y - y + 2*y + y + (-2 - 2 + 5)*(0*y + 0*y + y) - 2*y + 5*y - y + (2*y + 3 - 3)*(6 - 3 + 4) as m*y + o and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.619372 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.753 and -18.\nAnswer: 103.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-13888)\/(-13846) - (94\/(-611) - (-224)\/1118)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 2*r + 7. Let c = 44 - 96. Let s be (c\/8 + 4)\/((-3)\/(-6)). Calculate g(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 + 6*a + 6. Let h be y(-5). Let p = h - 131. Solve p = 10*n - 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -w. Differentiate -4 + 5*j**2 - 4*j**2 + w + j**2 wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01193087 rounded to 5 dps?\nAnswer: -0.01193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 673008 divided by -112168.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27483739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -25. Let b be 3\/(-4) + 13\/(-4). Let h(o) = -3 + 2*o + 2*o + 8 + 5*o - 16*o. Let p(s) = -6*s + 4. Give b*h(l) + j*p(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**2 + 6*r - 3. Let m(g) = -3*g**2 - 2*g + 1. Let a(t) = 7*m(t) + 2*x(t). Suppose -5*o + 275 = 250. Suppose 2*f = -o*f + 7. Give a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f - 1 + 3*f**2 + 5 - 1 - 2*f**2. What is m(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3677, -3650, -3623?\n\"Answer: 27*b - 3704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 350?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2089836 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + z + 31. Let l(t) = 26*t**2 - 49*t**2 + 22*t**2. Let y(c) = l(c) - s(c). Let g be y(6). Which is smaller: 1\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2 - 51*c + 76. Let k be g(-14). Factor 6*t**3 - 3\/2 + 3\/2*t**2 - k*t.\nAnswer: 3*(t - 1)*(t + 1)*(4*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 5*c**2 - 2*c - 9. Let k be w(-5). Let p be k + (-1340)\/5 - -2. List the prime factors of p\/(-15) + 3\/9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -9, -7 in decreasing order.\nAnswer: 0, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -3, -2\/1703 in descending order.\nAnswer: 3\/7, -2\/1703, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1*-3)\/((-9)\/237)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6166*m**4 - 14*m**2 + 2*m - 15 wrt m?\nAnswer: 147984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 728993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 330006\/2*-1. Round q to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 3*p + 3*p + (2 - 1 + 1)*(-2*p + 5*p - p) + 2*p + p - 2*p - 2*p - 2*p + 2*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22\/3? (a) -0.3 (b) -3\/2 (c) 57 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*s + 141*s - 86*s = 800 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 5*o - 4*o. Suppose -13*q - o = -17*q. What is the remainder when 208 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -7. Let d = 5767\/4 - 1419. What is the common denominator of d and (t + 5)*(-10)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2024 + 1902 - 2*o - 1812 - 1697 + 3*o.\nAnswer: o - 3631","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrrmm. What is prob of picking 1 m and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -68 - 16*b - 7*b + 25. Let f be a(-10). What is the greatest common factor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a4 (base 14) in base 7?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**2 - p + 1. Let i be 3 - (21\/(-14) + (-11)\/(-2)). Let f be y(i). What is the greatest common divisor of f and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*j = -167, 10*o - 8*o - 339 = -3*j. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96*h**3\/5 + 344313*h**2\/5 - 308485476*h\/5 - 86897772.\nAnswer: -3*(h - 1794)**2*(32*h + 45)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - -2*4*sqrt(360))\/sqrt(10))\/((sqrt(1452) - (sqrt(1452) + -2*sqrt(1452)))*4)*-3.\nAnswer: -27*sqrt(3)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3033 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3806.727 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33684 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 387 and 29541.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -5356?\nAnswer: -1\/5356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.051 (b) 0.1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, -5\/56, 3\/2, -2\/3, -1\/73?\nAnswer: -5\/56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -10506989182?\nAnswer: 10506989187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200727001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 38*q**2 - 4\/15*q**5 + 0*q + 1\/24*q**4 + 0 + 0*q**3. Calculate a(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -11*q + 36. Suppose q*c - 14*c = -4202. List the prime factors of c.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n*u**2 - 27573*n*u + n + 303*u**2 + 7*u + 1 wrt n?\nAnswer: -u**2 - 27573*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23 and 13.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6627 divided by -2209?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 + j**2 - 4*j**2 - 6*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x**3 + 20*x**3 + 22*x**3 - 70*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**2 - 13*r**2 + 2*r**2 + r**2 + r - r + (-3*r + 3*r - 3*r)*(-4*r + 2*r + 0*r) + 0*r + 0*r + 3*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f + 1. Let i = 13 - 18. Let c(a) = 7*a. Let r(l) = i*c(l) + 6*z(l). Let x be r(0). Solve 0 = -2*h + 4 + x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, i: 1, f: 6, t: 1}. Give prob of picking 1 w and 1 f.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + 0.1. Let l be (18\/12)\/(2\/(-4)). Let b be l\/(-4)*(-3 + 5). What is the closest to -0.1 in w, -2\/7, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8078380 is divided by 193?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**5\/20 - g**4\/2 + g**3\/2 + 3*g**2\/2 + 3*g. Is z(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**4 + 340*k**3 - 47955*k**2 + 47610*k = 0.\nAnswer: -138, 0, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 95 (b) 3 (c) 841 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 110 (b) 29 (c) 4\/9 (d) -131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661629 to the power of 1\/2, to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from qrrqq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 0.7. What is the biggest value in 0.3, f, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 3:57 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 3*n + 6. Let w(p) = p**3 + 5*p**2 + 14*p + 20. Let z be w(-3). Let g(b) = 3*b**2 + 8*b + 16. Let j(d) = z*g(d) + 11*k(d). Give j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11100232344 + 3?\nAnswer: -11100232341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + l - 103 - 12*l + 106. What is y(4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2086*q = -2091*q + 70, 105 = 3*w + 10*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f. Suppose 0 = -2*r - 2*r + 32. Let j = r + -4. Calculate u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. Suppose -35 = -5*f - 4*p, -5*f = -j*f + 5*p - 34. Let u = 28 - f. Calculate the greatest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from qwxxqwxqqwiiqqxqxw?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 476 + 9*v**2 + 11*v**2 - 474 + 4*v - 3*v**2 + 0*v**2 + 2*v**2 - 2*v**2 + 3*v**2 + v**2 + (3*v - 5*v + 0*v)*(2*v + 3 - 3).\nAnswer: 17*v**2 + 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -126 (b) 1\/8 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19789, 39608, 59425, 79240, 99053, 118864?\n\"Answer: -r**2 + 19822*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00137193 rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 23336120898823?\nAnswer: -23336120898823.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 158257 at most as big as 158237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36366 and 24034620.\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.3 (b) -1 (c) -1\/6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2469 and 0.05.\nAnswer: -123.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**3 + 2458*l**2 - 4919*l\/6 + 205\/3.\nAnswer: (l + 410)*(6*l - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 36. Let m be r\/6 + 0 + 1. Solve 3*q + 13 = -4*w, -5*q = -w - m + 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -36*w**3 - w**2 + 12. Let o(k) = -37*k**3 - k**2 + 13. Calculate 4*h(b) - 3*o(b).\nAnswer: -33*b**3 - b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 - ((-2)\/(-4))\/(7\/42). Suppose -4*t = -j + 2 + x, -t = -j + 5. Suppose 0 = -11*d + 14*d - 45. Calculate the greatest common divisor of d and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-82)\/2)\/((-348)\/20 + (-756)\/(-315) + 14)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 13*v - 2. Let q be x(-7). Suppose -5*n = -14 + 4. Let z = -1 + n. Solve q = h + z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 3*g**2 + g**2)*(-1 - 3*g**3 + 1) + (-g**4 - 3*g**2 + 3*g**2)*(2*g + 2*g - 2*g) + g**5 + 2*g**5 - 2*g**5.\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -2)\/(2\/4). Let t(f) = -f**3 + 3*f**2 + 7*f - 5. Let m be t(s). Suppose 2*c + 3*c = 4*l + 9, m = -2*l + 5*c. Put -4, l, -3 in ascending order.\nAnswer: -4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(13\/2))\/(z*z*z**(3\/2)\/z*z))\/((z*((z*(z\/(z\/(z\/z**(6\/19))*z))\/z)\/z)\/z)\/z**(-4)) assuming z is positive.\nAnswer: z**(25\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = 24*p + 2. What is the remainder when 634\/10 - (0 - p\/(-5)) is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 28 = -4*b, b + 3 = 4*o + 5. Which is smaller: -15 or b?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 9. Let h(l) = -l**3 - 8*l**2 + 6. Let w be h(-8). What is the lowest common multiple of 1 and j(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**3 - 239*b**2 + 239*b**2.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -4*k**5\/5 + 4*k**3\/3 + 2547. Suppose b(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30401.595 to the nearest ten.\nAnswer: -30400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2*v = 13, 5*c - 19 + 2 = 2*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 - 3.5. What is the closest to z in -0.2, 2\/5, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 3*j**2 + 2*j + 4. Let i be g(-3). Let m be (-1 - 1)\/2 - 2. Which is the nearest to i? (a) -0.5 (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 12, 59, 134, 243?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*g - 168 - 352, 5*g - 350 = -3*p. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7009 + -159.0591. What is z rounded to the nearest integer?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 4*h**2 + 40*h + 32.\nAnswer: -4*(h - 4)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2612113?\nAnswer: 7, 97, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 6. Give d(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17859 + -17859.03. Does 2\/695 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (-124 + 111 - (-23 - -1)) + -10?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4 - -2)\/((-180)\/(-200))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -18. What is the nearest to -4 in k, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 1. Let f(i) = 5*i**3 + 9*i**2 + 9. Determine -2*f(w) + 18*t(w).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -901\/9, 427.8, -3.\nAnswer: -901\/9, -3, 427.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -37*j. Let f(h) = 13*h. Let p(b) = -17*f(b) - 6*l(b). Let t(w) = 32*w. Give p(t(k)).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 smaller than 2\/999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -90.99. Let q = 3.99 - k. Let j = 0.1 - 0.3. Put 3, j, 0.1, q in decreasing order.\nAnswer: q, 3, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/((-2)\/28). Let k(q) = 15*q**2 + q + 1. Let l be k(2). Suppose 0*g = -g + l. Calculate the highest common divisor of g and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 6. Let c = 107 + -58. Let s = 44 - c. Sort s, p, 3 in decreasing order.\nAnswer: 3, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 574, 173 in increasing order.\nAnswer: -2, 173, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.71 and -0.8?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102885.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r + 20. Let p(b) = -b - 1. Let k(z) = 5*z. Let t(w) = k(w) + 4*p(w). Let i(v) = 2*q(v) + 11*t(v). Suppose 85*j + 94*j - 238 = 145*j. Give i(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.67 - 16. Let f = 0.3311 + w. What is f rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*t + 101*t + 2*t**2 + 39*t - 12*t.\nAnswer: 2*t*(t + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 472 - -207. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*1*(-1)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 6:25 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**17*d\/d**(-1\/18) assuming d is positive.\nAnswer: d**(343\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-459)\/(-34) - 2\/(-4). Find the second derivative of -18*p + p - r*p + 17*p**3 - 2*p wrt p.\nAnswer: 102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 325944*u - 13279936392.\nAnswer: -2*(u + 81486)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 22995963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3686124023 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.3, -4.8 in decreasing order.\nAnswer: 0.3, -0.1, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10089161.\nAnswer: 47, 214663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 - 2120?\nAnswer: -2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 116*s - 120*s = 9*p + 40, s - 20 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 910 - 900. Suppose -3*o - 4 = -10. Is g less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2256 and 1166603920?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*l + 205, 170 = -f + 6*f - 2*l. Suppose -5*j + 21 = -2*j. Suppose f = -3*i + j*i. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 + -6.97. Let a = b - -2. Sort -0.4, a, -1 in decreasing order.\nAnswer: -0.4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -11. Let d = h + 14. Calculate the least common multiple of 46\/d - 5\/25 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 = -0*o. Suppose 0 = -o*b - 0*b. Let u be 1*1*(-1 - -2). What is the nearest to b in -0.2, u, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2162.5*43.9.\nAnswer: -94933.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 40*g + 8. What is the lowest common multiple of 26 and s(3)?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.706 + 2.306. Let j = -0.5 - -0.1. Which is the nearest to -1? (a) j (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -293 - -290. Suppose -n + 5*q = 13, -3*q = 5*n - 4 - 15. Let y(o) = -3*o + 1 + 2*o + 0 + 1. Let x(i) = 3. Determine k*y(v) + n*x(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 120.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*h + 27, 13*h - 6 = -l + 14*h. Let f(z) = 4*z + 1. Let n(t) = -t - 1. Determine l*f(x) + 3*n(x).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1528455 is divided by 807?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p + 1. Let s be w(-2). Let f(b) = 3*b**2 + 3*b - 9. Let v(m) = 3*m**2 + 3*m - 10. Let x(c) = 6*f(c) - 5*v(c). What is the tens digit of x(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2627 divided by 235?\nAnswer: -2627\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzxxxxzzzz. What is prob of picking 2 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47644254, 95288516, 142932778?\nAnswer: 190577040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 284. What is the lowest common multiple of u and 33?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*g - g - 2*g**2 - 29*g**6 - 135 - 17*g - 67*g**6 wrt g.\nAnswer: -11520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5786866 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(187)*-2)\/(sqrt(88)\/sqrt(32)) - (2 + (-2*sqrt(612))**2)*-3).\nAnswer: -4*sqrt(17) + 7350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-3))\/((-2)\/6). Let n be (-2 - -2)\/(-1) - t. Let x = 67 - n. Calculate the highest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3090*u - 2*u**2 + 5144*u + u**2 - 2995*u.\nAnswer: -u**2 - 941*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16949\/60126 + -1\/13665. Let t = f - 2\/11. Which is the smallest value? (a) 1\/3 (b) t (c) 2\/5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:20 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114032237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**4\/42 + 4*v**3\/21 - 80*v + 47. Let x(r) be the first derivative of p(r). Determine g so that x(g) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 5*h - 129, -2*o + 420 = -2*h + 472 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2213 divide 1355510609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2251804 divided by -562951.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334 >= 2334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 + 0.06. Suppose 0 = -5*c - 58 - 2. Let a be (0 - -10)*(-6)\/c. Sort n, a, -2 in decreasing order.\nAnswer: a, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2957*12\nAnswer: -3.5484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p - 327 - 73 = 68 + 254 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104263?\nAnswer: 41, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/45)\/(j*j**(1\/5)) assuming j is positive.\nAnswer: j**(-56\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1787 or 1788?\nAnswer: 1787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2860 is divided by 859?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0 (c) -1\/12 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*p - 4 = 2*p, 3*x = 4*p + 4. Let f be (x + 154\/(-4))\/(-2)*-4. Let g = f - -85. Solve -m - m + g = -u, -5*m + 20 = -5*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + v + 33609 - 81*v**3 - 33613 + v**2 as s + b*v**2 + o*v + g*v**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2796588 is divided by 20870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -16*d**2 + 851*d - 162. Calculate i(53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3 - 253*j**2 + 620*j = 0. Calculate j.\nAnswer: 0, 5\/2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -51, -39, -139?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3121689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1123, 22, 15, 3 in descending order.\nAnswer: 1123, 22, 15, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.2 - 24.46. Let z = 0.24 - u. Which is the closest to -1? (a) 3 (b) -3\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**2 + 948995*c + 948990 = 0. Calculate c.\nAnswer: -189798, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 + 311\/3. Which is the nearest to 1? (a) -3 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -200, -436, -766?\nAnswer: -1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11*l - 23. Let c(o) = -5*o - 12. Determine 9*c(m) - 4*d(m).\nAnswer: -m - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 take away 68091779441?\nAnswer: -68091779441.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = -1. Let g(m) = 4. Let q(i) = -i + 1. Let a(x) = l*g(x) + 3*q(x). What is the units digit of a(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.006 - -4.006. Which is the fourth smallest value? (a) 1\/6 (b) -5 (c) k (d) -82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 36. Calculate the least common multiple of (86\/301)\/(1\/42) and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 412*z**2 - 146*z**2 + 84*z**2 + (-4*z + z + 4*z)*(2 - 2 - 2*z).\nAnswer: 348*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 89813642 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 21 = 2*b - 5, b - 11 = c. Let a be (-105)\/2 + 2 - b\/(-18). Let i = 65 + a. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b57 (base 12) to base 5.\nAnswer: 23101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/15912 and 59\/3672.\nAnswer: 47736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55533 (base 10) to base 3.\nAnswer: 2211011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7 = -d + 11, -5 = -5*h. Solve -4*l - 3*j - 1 = 0, -2*j - d*j = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1510a9 (base 11) to base 9.\nAnswer: 388285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 10:55 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -36.321.\nAnswer: 36.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 10*n - 15. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + i**3 - 5 + (2*i - i + i)*(-2*i**2 - 2*i**2 + 3*i**2))*(0 - 1 + 2) as v*i**3 + o*i + m + a*i**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*v + 12 = 0, -4*b + 9*b = 5*v - 10. Let g(t) = 11 - b*t**3 - 5*t**2 + 3 + 4 - 22 - 4*t. Calculate the remainder when 62 is divided by g(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1574 and 22?\nAnswer: 17314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -35. Which is the nearest to -1\/4? (a) 5 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.660084 hours?\nAnswer: 2376302.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220204 is divided by 2936.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfwfsw. What is prob of picking 1 s and 1 w?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 103. Let s(m) = -6*m - 40. Calculate the remainder when w(12) is divided by s(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 + 2 + 2 - (1611 + -1603)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21104090719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.094949 weeks to microseconds.\nAnswer: 57425155200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*h**2\/2 + 129*h - 36 = 0. Calculate h.\nAnswer: 2\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227\/4 - -57. Which is the second smallest value? (a) 0.1 (b) x (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4253.1 - 4299. What is m rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51151332 - 0?\nAnswer: 51151332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1269 - 813. Let b be v\/36 + 4\/(-6). Calculate the highest common divisor of b and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 303473201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 6*c + 0*c)*(5*c**2 - 3*c**2 - 4*c**2) - 76 + 76 - 13*c**3 + (-2*c + 0*c + 3*c)*(-c**2 - 3*c**2 + 2*c**2) - 2*c - 2*c**3 + 2*c + 2*c**3 - c + c.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = d + 2, -3 = -d + 1. Suppose -f*n + 159 - 47 = 0. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -200 (b) 6 (c) 5\/3 (d) -14 (e) -0.11 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 18*i + 37. Let o be (-2)\/(-4) - ((-23)\/2 - 1). Is g(o) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + -3 + 1*sqrt(80))**2 + (-2 + sqrt(80) + -2 + 1 + sqrt(80) + sqrt(80) + 0 + sqrt(80) + 0)**2.\nAnswer: -168*sqrt(5) + 1556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2857 + -28653\/10. Let b = -11\/95 + 6577\/190. What is the common denominator of b and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253087, 253090, 253103, 253132, 253183?\nAnswer: 253262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 286646 and 286646 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67194 by -22398.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from babmbmbbbmfp?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672 and 720?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 12. Let p(u) = 3*u**2 + 6*u + 2. Let c be p(-2). Suppose 3*v = -3*r + 60, -c*r - 24 = -5*v + 3*v. Calculate the remainder when v is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -559 + 588. Calculate the greatest common divisor of a and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005913055 rounded to six decimal places?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdw when three letters picked without replacement from {d: 5, a: 6, h: 1, w: 1, z: 6}?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and 2\/57954517 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 29360000 to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53252375?\nAnswer: 5, 11, 38729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (5 + -4) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -4 (b) 0.3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*a = -3*j - 53*a, -4*j - 8 = -2*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2528211773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15 = -2*w. Suppose 0*k = w*k - 25. Suppose -13 = -5*l + z, k*l - 2*z - 18 = -2. Calculate the remainder when 4 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69893 and 65971.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let o = -48\/215 + 1\/43. Put v, o, -3 in increasing order.\nAnswer: -3, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4 - 0. What is the units digit of (h\/6)\/(6\/(-162))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5164.\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16183?\nAnswer: 16183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**4\/12 + s**3\/6 - s**2\/2 + 4*s. Let i(p) = -p**3 + 6*p**2 - 3*p + 5. Let z(j) = 20*f(j) + 4*i(j). Factor z(d).\nAnswer: -4*d*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 1108*u**5\/5 + 177*u - 416. Differentiate b(q) with respect to q.\nAnswer: 4432*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5383799 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -7, 1 in descending order.\nAnswer: 6, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 1) + -4 - (-12 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5771*m**3*x**4 - m**3*x**3 - 666*m**3*x**2 - 6*m*x**2 wrt x?\nAnswer: -138504*m**3*x - 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 20) + (1 - -2 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bboboohoobooboboobb. What is prob of picking 2 o and 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 + 13*b + 4. Let h(z) = -2*z**2 + 9*z + 3. Let p(t) = 7*h(t) - 5*q(t). Give p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 67941, 64253, 60565, 56877, 53189, 49501?\n\"Answer: -3688*z + 71629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(1573)*-1 + 1 - (sqrt(1573) + -2 + sqrt(1573) + -1)))*-1)**2 + 2.\nAnswer: -528*sqrt(13) + 14223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.159 - 0.559. What is the biggest value in -28, 1\/2, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-20))\/((-34)\/(8840\/(-91)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 4. What is the remainder when 27 is divided by u(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22462680 + -85133556043\/3790. Let p = -2\/379 + b. Find the common denominator of p and -67\/442.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**3 + 0*c**3 - 4*c**2 + 3 + 2*c - 39149*c**4 + 39150*c**4 in the form k*c**3 + t*c + g*c**4 + b*c**2 + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 750079 and 12751362\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15582, 14460, 13338, 12216?\n\"Answer: -1122*t + 16704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-75)\/10)\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1403, -5592, -12575, -22352, -34923, -50288, -68447?\n\"Answer: -1397*f**2 + 2*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 5. Suppose -f = -5*a + 13. Suppose -5*c + 889 = a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 277*p**4\/2 + 19*p**3 + 3*p**2\/2 + 18*p - 34. Find the second derivative of i(j) wrt j.\nAnswer: 3324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12808, 25615, 38412, 51193, 63952?\n\"Answer: -j**3 + j**2 + 12811*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 5:30 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 + -156. Suppose 17*b - 22*b = -25, -f*c + 1750 = 5*b. What are the prime factors of c?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3 + 8*((-320)\/(-15))\/16\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7292.\nAnswer: 2, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/12*-2*0. Let a = 2 + l. What is the units digit of 4\/a - (0 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10831 rounded to 3 dps?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*v, 7*a + 3*v = 2*a. Let s = -2 - a. Which is bigger: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 4*c - 4. Let h(o) = -4*o + o**2 - 4*o**2 + o + o**2 - 3. Let l(z) = 4*h(z) - 3*v(z). Let b(w) = -2*w - 2*w**2 + 2*w. Determine l(b(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30745772.\nAnswer: 2, 7686443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -85\/6673, -101 in decreasing order.\nAnswer: 5, -85\/6673, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 7*l + 5. Let a be c(6). Let k be -162 - a - (-2 + 0). Let o = k - -58. What is o rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 112705884.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 8 + 12. Suppose -571 = -l*t + 1. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/915943 and 36\/234311.\nAnswer: 10075373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + -1*sqrt(2057))**2.\nAnswer: -44*sqrt(17) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -l - 3*n, l + 5*n - 324 = -3*l. Factor -116*a**3 - 16*a**2 - l*a - 56 + 36*a**3 + 41*a**3 + 43*a**3.\nAnswer: 4*(a - 7)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18313\/624 - 3\/208. Let r = k + -29. Which is the biggest value? (a) -4 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -6. What is the greatest common divisor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -32?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 6*c - 90, -c + 22 = 5*q - 95. Let i(b) = -16*b. Let m be i(-1). What is the highest common factor of m and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -721 - -729. Which is the fourth smallest value? (a) 3 (b) n (c) 0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-38)*(k*k*k**(-1))\/k*k assuming k is positive.\nAnswer: k**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - ((-10)\/(-2) - 6). Suppose 27 = d*a - 3. Let n(o) = 6*o**3 + 7*o**2 + 5*o - 4. Let q(t) = -t**3 - t**2 - t + 1. Determine a*q(k) + n(k).\nAnswer: k**3 + 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 + 2*q**2 - 4*q.\nAnswer: -q*(q - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from yylyyyyyyyyyylyyyyyy.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 562*g**2 - 2*g**4 + 565*g**2 + 0*g**4 to the form u*g + m*g**3 + p + t*g**4 + k*g**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**5 - 2*w**5 - 5*w**5)*(0 + 4 - 6).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3\/4 + 39*g**2\/2 + 27*g - 14.\nAnswer: (g + 2)*(g + 14)*(5*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -452525?\nAnswer: -452530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 4 + 4)*(-3*b - 2*b + 3*b) + 169*b**2 - 13 - 172*b**2 + 11 - 57*b.\nAnswer: -9*b**2 - 57*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 339, 1446, 3289, 5868, 9183, 13234, 18021?\nAnswer: 23544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6582637 by 2.\nAnswer: -6582637\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 - 3*x - 2. Let b(f) = -3*f**2 + f. Let u be b(1). Let k be c(u). Let o = -8117 - -8165. Calculate the highest common divisor of o and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-28))\/(-46 + -4 + -1).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-2 + -25)*-33. Suppose d*c = 49119 + 59396. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2292*w**2 - 141*w**2 + 97*w**2 - 2203*w**2.\nAnswer: -4539*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - 1a?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)*-1)\/sqrt(10))**2 - sqrt(9)\/sqrt(3)*1.\nAnswer: -sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11562521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 0, 12 + 3 = 3*c + 2*o. Suppose -x + 28 = -u, -5*x + 2*u = c*u - 100. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + -6*(-5 + 2*sqrt(99) + -1 + sqrt(99) + -1)**2)*6.\nAnswer: -135240 + 18144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/9)\/(140\/(-90)). What is the second biggest value in 409, t, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2608606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvvnvvvwvawawnlvaa. What is prob of picking 1 l and 1 v?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from wwawwwa?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 345 = 10*k. Let g be 16\/(-6)*6\/(-4) - 1. Calculate the remainder when k is divided by 73\/g - 4\/12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, p: 1, r: 1, k: 3}. What is prob of sequence rg?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14860 and 143020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1040051 is divided by 520022.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1146)\/84 - -13)\/(30\/480*-8).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:31 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 51*w**2 + 105*w + 16. Let n be g(16). Calculate the highest common factor of n and 615.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57934\/(-8466) + 100\/15\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112004 (base 6) in base 3?\nAnswer: 111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*g - 11*g + 612 = -17*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (72 + 339*h - 675*h + 335*h)*(-6 + 5 + 2) as p*h + b and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:50 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-2 + -2 - sqrt(1377)) + -4 - (sqrt(306)\/sqrt(2)*-3 + -3).\nAnswer: -18*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -558 and 1.092859.\nAnswer: -556.907141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 207520092 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 31716 = -6*y + 10*y, -l + 4*y = -10572. Let u(t) = l*t - 10575*t + t**2 + t**2 + 2. What is u(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 7*v**2 - 7*v + 2. Let n be q(-7). Suppose 0 = 9*u - 12*u + n. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, a: 1, y: 2, v: 1}. What is prob of sequence yar?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.057 in -2, 2\/5, -13783?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/160*12)\/((-132)\/(-1100))*12\/(-95)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 307813\/28 - 10992. Find the common denominator of n and 59\/68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -337*f**3 - 4*f**2 - 538*f - 3. Let y(s) = -343*s**3 - 3*s**2 - 541*s - 2. Let r(d) = -3*y(d) + 2*z(d). What is the third derivative of r(i) wrt i?\nAnswer: 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 6*v - 78 = 0. Is 6 a factor of v\/143 + (-328)\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 149.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 7*r**3 - 119*r**2 + 119*r**2.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f + 714 = 4*y, 2*f - 884 = -5*y. Let s = -61 - 56. Let d = y + s. List the prime factors of d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 26 + 209*v**3 - 69*v**3 - 134*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 f when four letters picked without replacement from fppppfpppfpppfpppppp?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*z + 3388038, 49*z = r + 51*z - 1129319. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1. Let t(b) = 5*b + 17. Let z(q) = -t(q) - 6*v(q). Let n(y) = -y - 2. Give -22*n(c) + 4*z(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 973, 2568, 4679, 7306, 10449, 14108?\nAnswer: 18283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 133698 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 36. Let a be 4 + 1 + b\/(-12). Suppose -a*h + 21 = 1. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*r - 288 + 270 = 0, 5*r + 35 = -5*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 25. Suppose 3*c - 8 = -4*d - 2, -z*c + 6 = -4*d. Let a be d*(-1 + 3\/2). Solve a*t = -t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -66*g**3 - 1589*g**2 - 182*g - 1498. Determine m(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/1120 + (-6)\/16.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43560 divided by 20?\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = 1, 0 = 2*u + 2*r + 10. Let f be 2\/108*-3*u. Which is the biggest value? (a) 2 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p. Let i(b) = -b - 6. Let a be i(-8). Let x(l) be the first derivative of 2 + 2 - 2 + l**a. Calculate m(x(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**2 + 33. Let u(x) = -7*x**2 + 64. Determine 11*r(n) - 6*u(n).\nAnswer: -2*n**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 45*m**2 - 303*m - 259.\nAnswer: -(m + 1)*(m + 7)*(m + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*i + 16808 = 14844 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 178b + 5?\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -31 - 8*i - 18*i + 19*i. Let b be c(-7). Let w = 11.1 - 10.8. What is the smallest value in w, -3\/4, b, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 40. Calculate the lowest common multiple of w(-34) and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 2*w - 2. Let g = 19 + -21. Let v(s) = -4*s**2 + 7*s + 7. Let z(u) = g*v(u) - 7*m(u). Let d(o) = o**2. Give z(d(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*p**2 + 3*p**3 + 31*p**2 + 25*p**2 - p + 25*p**2 + 13 to v + f*p**2 + k*p + s*p**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 3*z**3 + 21. Let s(v) = -2*v. Calculate n(s(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -17, -5, -2 in descending order.\nAnswer: 20, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1412787 = 11*z - 516943. Suppose 12*w - z = 94990. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 - -6?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yavvevqcvevvyyvavv. What is prob of sequence eyea?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*-2 - sqrt(1053)) + sqrt(13) + sqrt(117) + -4)**2.\nAnswer: 184*sqrt(13) + 6893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2 + 3 = -r, -5*b + 7 = 3*r. Suppose 6*h - r*h = 18. Calculate the greatest common divisor of h and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4\/5 - x**3\/5 + 13*x**2\/5 + x\/5 - 12\/5 = 0?\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, j: 4, s: 5}. What is prob of sequence ppp?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 210630 + -155023607\/736. Find the common denominator of 3\/20 and v.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -22*z - 5. Let f(h) = 21*h + 4. Let v(t) = 5*f(t) + 4*y(t). Let i(r) be the first derivative of r**3 + 39. Give i(v(g)).\nAnswer: 867*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i**2 + 2*i + 4. Let c(b) = 15*b**2 - 4*b - 10. Let n(k) = 2*c(k) + 5*x(k). Let y(v) = v**2 - v. Give n(f) + 2*y(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 572162953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15*(3\/(-4))\/(-15*9\/(-120))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -20*p + 65. What is the remainder when 313 is divided by z(-2)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 1170.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3109 + 1478 = 11*x. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-6))\/((-2)\/(-64)). Suppose 2*x - 4 = -2*x. Let u be (m - x)*(-21)\/3. What is the highest common divisor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/11 - (-5992)\/(-77). Let j = -74 - u. Solve j*d + 2 - 22 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1605 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27\/1*(-2)\/6. Calculate the remainder when 2 - ((-985)\/5 - b) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.048?\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*q - 1597 = 11*q + 769 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**2 + 44*q + 0*q**2 - 46*q - 4*q**2 - 23 to t*q + s*q**2 + i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 5 = 3*m - 5*a, -3*a = -4*m + 4. Suppose 5*d + m*c = 97, -3*d - 5*c = -d - 32. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbmrvxa. Give prob of sequence mmav.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, 1\/3, -0.3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - y)*(-5*y + y + 3*y) + 4*y**2 - 4*y**2 - 2*y**2 - 453*y**2 - 1119*y + 1751*y**2 + 1119*y.\nAnswer: 1297*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is (13\/52)\/(2 + 68\/(-32))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 10*x + 13. Calculate p(14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265759.3386 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 2. Let v be c(-3). Let h = -3 - v. Differentiate 3 + 8*g**2 + 3*g**h - 15*g**2 with respect to g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (10 - 13) - 17 - (22\/(-25) + 0)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 - 900*m**3 + 8271*m**2 - 22188*m + 18540 = 0. What is m?\nAnswer: -309, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a = 0. Let f be a\/(-1 + (-3)\/3). Let r(s) = f*s**3 + 5 - 4*s**2 + 8*s**2 + s**3. Determine r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 19*f + 52 = 62*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31039786 is divided by 1794?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(13 + (-11 - 18)) + 46?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 2, g: 2}. Give prob of picking 1 p, 1 l, and 1 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 + -134. Solve 1089*b = 1084*b + x for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17170*s = 17165*s - 8*w - 122, 2*w + 6 = 11*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.19 (b) -13 (c) -2 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, p: 1, a: 1, t: 4, z: 4}. What is prob of picking 3 x and 1 z?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394065?\nAnswer: 5, 478813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 11*f + 6*f = -25, 3*a + 2*f = 0. Let s(j) = j**2 + 3*j + 7. Let t be s(a). Put 2, -5, 4, t in descending order.\nAnswer: t, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4))\/(s\/s**(-11))*(s**(1\/4))**37 assuming s is positive.\nAnswer: s**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 1. Let v be (-2)\/9 - 14\/(-63). Let a = 3 + v. Suppose -a*u = -s + 9, 3*u - 5 = 3*s - 20. Calculate k(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/7 + 44*q**3\/7 + 41*q**2\/7 - 10166*q\/7.\nAnswer: q*(q - 13)*(q + 23)*(q + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-20)\/(m*m\/m**23))**(37\/3) assuming m is positive.\nAnswer: m**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231342?\nAnswer: 2, 3, 38557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -2\/11 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1747004 and 17458?\nAnswer: 50663116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 4*y. Solve 4 = p - y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -765 - -772. Solve u*w + 864 = 822 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1022 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -65.891878 and 2.\nAnswer: -63.891878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*m**4 - 57*m**3 + 4601.\nAnswer: -32*m**3 - 171*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 66120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 12*p + 23. Let s be o(17). Let v(l) = -108 + s + 7*l**2. Let q(z) = -6*z**2. Calculate q(v(b)).\nAnswer: -294*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -21.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(6\/((-384)\/(-88))*-4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 151 = 46. Let l be 11 - 6 - ((-60)\/x + 2). Solve -4*g - 25 = 5*h, -2*h = h + l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15568)\/96)\/(-139)*5\/7.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75.007 + 75. Let j = -64.993 + m. Let n = -64 - j. Sort -0.2, n, 5 in decreasing order.\nAnswer: 5, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 868 and 10292.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + y - 126, 3*y = -2*w + y + 52. Let u be 1 - 6 - (-1 + 3). Let b = w - u. What is the greatest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkklldlkkkqllkll. Give prob of sequence dq.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905*r**2 + 568*r**2 - 2744*r**2.\nAnswer: -3081*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/30 - 11*i**2. Let h(t) = -12*t. Calculate h(a(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = y + 47, -2*j - 2*y + 0 = -74. Let q be 6\/j - 114\/14. Let s = 49 + q. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/15, -0.02, -9\/2, 1\/4, 40, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, a: 1, w: 1, q: 2}. Give prob of picking 2 q and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*w**2 - 2*w - 9*w**3 - 13*w**3 + 203 - 14 + 228 + 3*w wrt w.\nAnswer: -132*w + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 15*t**2 + 28*t - 52. Determine g(-17).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 + 15*l**2 - 22*l + 1. Let w(y) = -2*y**3 + 14*y**2 - 23*y. Let t(f) = -3*q(f) + 4*w(f). Let p be t(-13). Which is smaller: -44 or p?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4353 - -7982. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101101221 (base 3) to base 13.\nAnswer: -c547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1160)\/(-8584))\/((-50)\/(-20)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/3)*j**(2\/13))**1 assuming j is positive.\nAnswer: j**(58\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*x - 2*x - 80*x)*(-x + x + x**2) - 54*x + 54*x + 108*x**3 + 5*x**3 - 2*x**3 - x**3 to a*x + q*x**3 + v + g*x**2 and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4 - 5992*p**3 - 231174*p**2 - 1556456*p + 14311880 = 0. What is p?\nAnswer: -2957, -22, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*c - 32, 82 = 5*c + z + 10. Solve 0 = -5*r + 22*v - 17*v, -2*r - 5*v + c = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 - 9*f + 8. Let x = 30 + -24. Let w be b(x). Let g = -19 + w. Let s(o) = -o**2 + 9*o - 2. What is s(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96442001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -484361, -484603, -484843, -485081, -485317, -485551?\n\"Answer: d**2 - 245*d - 484117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 14*v**3\/3 - 2*v**2 + 5*v - 60. List the prime factors of w(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29650168903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/530256 and 17\/72.\nAnswer: 1590768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/6 + 204*l**2 + 122175*l\/2 + 359217.\nAnswer: (l + 6)*(l + 501)*(l + 717)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1077330 = 41*o - 18*o - 17*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p + 0*p + 1 + p + 2*p. What is h(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.53102 to 2 decimal places.\nAnswer: 4.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185 - 17. What are the prime factors of (u\/28 - (-2)\/(-7))*-82?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10105 - -10068. What is the biggest value in x, -2\/7, 2\/3, 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40193*l**3 + 20094*l**3 + 20102*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312093 and 648.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/3 - i**2\/2 + 6*i + 49. Calculate t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 y when four letters picked without replacement from ypqqqppqqqpypq?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -26 - (-5 + 3 + -3). Let k(a) = -a**2 - 21*a. Let s be k(m). Solve -d + h = 9, d + s*h - 3*h + 19 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -124\/47?\nAnswer: -124\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -0.7. Let m = -6 + 8. Let f be 3\/(-6) - 1\/m. What is the nearest to h in 0.3, f, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y. Let n(p) = -99*p - 23. Let h = 44 + -43. Let x(m) = h*n(m) - 5*z(m). Differentiate x(c) with respect to c.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3276755231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 67b1 (base 14) to base 16\nAnswer: 4647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 936, -5, -3, -48 in descending order.\nAnswer: 936, -3, -5, -14, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -321. Let v = -213 - d. Calculate the remainder when v is divided by 123\/(-82)*(280\/(-18) + 8\/36).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8197 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*s - 13, 3*d - s - 18 = -0*d. Suppose -3*h = -2*z - 13, 2*h + 4*z + 21 = 7*h. Solve -h*o + 0*o + 45 = -d*b, -2*b - 3 = o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256807 = 2*a + 5*a - 110539. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 10400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 117 (b) -2 (c) 3\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a micrometer in nanometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484*q + 459*q - 2*q**3 + 478*q + 483*q - 1904*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81220 or 80731?\nAnswer: 81220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:34 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/(-6) - (-9 + 490\/42).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 6. Let b be z(3). Suppose -10*s + 35 = -b*s. Suppose -2*h - 5*k + 8 = -3*h, 2*k - 41 = -s*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d**3 + 523*d**2 - 2069*d + 7. Give u(48).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1594 + -453?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10179*q**2 + 165*q**3 + 3529*q - 163*q**3 - 3529*q to the form t + n*q**2 + z*q**3 + k*q and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(2\/(-4))\/(525\/180)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 249768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -214. Let j = i + -73. What are the prime factors of j?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/32? (a) -0.1 (b) -0.4 (c) 0 (d) -4 (e) 1\/34 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 113, 159, 203?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2930, -2934, -2950, -2984, -3042, -3130, -3254?\n\"Answer: -l**3 + 3*l - 2932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4 - 5 = 0. Let u be (7 + j)\/(-3 + 2). Round u to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -86324*p**3 + 20*p**2. Let j(q) = -12332*q**3 + 3*q**2. Give -3*i(s) + 20*j(s).\nAnswer: 12332*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 6*z**2 - 6*z - 4. Let a be n(7). Suppose 2*v = -2*v + a*j + 19, 23 = 5*v - 3*j. Suppose -8*q + 628 = -v*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 341 + -336. Suppose 0*i + i - g - 809 = 0, 5 = -t*g. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10 - 51750\/(-72))\/(2\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2532573915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4318 - 4200. Suppose 0 = -3*z - z + 3*v, -10 = -2*z - v. Calculate the remainder when t is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t + 27. Give a(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18316.0014 rounded to zero decimal places?\nAnswer: 18316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8242 + 52*l**2 - 16484 + 4*l + 8241. Let i(m) = 104*m**2 + 9*m - 3. What is -7*c(q) + 3*i(q)?\nAnswer: -52*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzzcococozzzoozo. What is prob of sequence zc?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a - 29?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**3 - 3*o + o**2 + 5*o - o**3 + 1. What is the common denominator of 20\/11 and t(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -248*o + 6958. What is the remainder when 6197 is divided by j(28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 393705539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 0) + -1*(-11 + 5). Suppose -7*b - r = -3. Let g(y) = 3*y. Let m be g(b). Solve m = -5*j - 3*t - 2, j - t - 1 = -3*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -266 (b) -20\/47 (c) -3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/18)\/(-2*(-2)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 4, 1, -1263 in descending order.\nAnswer: 4, 3, 1, -5, -1263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70489 - 42530. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 2*i - 5. Let s(p) = 1. Let m = -126 - -125. Determine m*r(u) - 5*s(u).\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**9\/15120 + g**5\/120 - g**4\/12 + g. Let c(b) be the third derivative of l(b). Find the first derivative of c(p) wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 161 and 15?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4320 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**7\/2940 + i**5\/420 + i**3 + 3. Let h(f) be the third derivative of s(f). Determine c, given that h(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p**2 + 2*p**2 + p**2)*(-2*p + 3*p - 3*p).\nAnswer: -2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 - 61*f**2 - 5*f + 37. List the prime factors of h(21).\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*d - 194 = 0, -l + 4*d = -d - 42. Suppose 5*r = -12 + 2, 0 = -4*u + 3*r + l. Let s = 20 - u. Calculate the smallest common multiple of s and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2999.71 + 77713.\nAnswer: 74713.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3261 + 4358. Calculate the remainder when o is divided by 184.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/29 in 0.2, 0.3, -0.21, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a day in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 4*1\/2. Suppose 0 = a + l - 61. What are the prime factors of a?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/4 + (-74)\/(-407)*-374.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-13))\/(57*38\/28158).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 17*j**2 - 17*j**2 - 37*j**2 - j**2.\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 185 + -177 + (1 - 0) + 34 + 0 + 1\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - (12 - (0 - -11))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s**2 - 21544737*s - 32317092 = 0 for s.\nAnswer: -3590788, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3934.\nAnswer: 5\/3934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/((-5670)\/40))\/(-7*9\/(-2205))?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 10*z**2 - 9*z + 38. Does 32 divide t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a hour in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0910061 litres?\nAnswer: 91.0061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-10 - -6) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-185550)\/309250*(-4)\/(-90)*1.\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 less than 787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -17*g + 5*g. Solve g = -5*k + 2 + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/((-460)\/1104)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 + 40*r + 39 = 0 for r.\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 203*c**2 + c + 2. Let g be l(-2). Let q = 1182 - g. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*r + 15, 5*r - 50 = -11*n + 6*n. What is the second derivative of 3*y + 2*y**n - 5*y**5 + 0*y**5 - 4*y wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 38610240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minus 30738972512?\nAnswer: -30738972066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-87)\/(-3) - (2 + (-1 - -3)). Let h = 2473\/6 - 437. Let l = s + h. What is the third biggest value in l, 0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-3*(-4)\/(11 + 1)). Let c be 138 - (6 + -4 + 0). Suppose j*y - 17 = c. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14655 - 3*j**3 + 8273 + 6382 + 56*j**3.\nAnswer: 53*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 10. Let y(h) = 11*h. Let i(x) = -x**3 + 4*x**2 - 3*x - 3. Let b be i(3). Let n(f) = 4*f. Let v(j) = b*y(j) + 8*n(j). What is v(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -222 + 256. Suppose -13 + h = 7*b. Solve 1 - 4 = b*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1520.\nAnswer: 3\/1520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 9:52 PM?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 5*g - 4. Let z be k(3). Is 30 a factor of (3 - 11)*(-90)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 + -78. Let s = c + -43.0000076. What is s rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*r - r + 4*x, -2 = -2*x. Let m = 230 - 229. What is the third smallest value in r, m, 0, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n + 87. Let w be ((-36)\/6)\/18*21. Is g(w) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -11. Solve m*q = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9326?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/22)\/(6*2\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 2*t + 5*h, 4*h = 4*t + 9 - 29 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14609689, -14609682, -14609675, -14609668?\n\"Answer: 7*o - 14609696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - m**3 + 0 + 0*m**2 - m**3 + 0*m**2 + (-7*m**2 - 11*m + 11*m)*(-3 + 3 + 2*m) - 2*m**2 + 2*m**2 - 2*m**3.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1539a9 (base 16) in base 14?\nAnswer: -282d05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6 (b) 119 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/51, 0.3, 6, 5, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91202874 divided by -91202874?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*d - 4*d = -105, -4*y + d + 140 = 0. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**3 - 16 - 10*x**3 + 16.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x + 155*x - 1454892 = 0. What are the prime factors of x?\nAnswer: 3, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60834 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-5))\/8*16\/14.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000472869 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -73. Suppose -4*w + 66 = k*w. What are the prime factors of (8 - 6) + 3*w\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.083 + 1.083. Is n equal to -330\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*j + 2*j**3 - 207*j + 7*j**3 - 18*j**3 + 7*j**3.\nAnswer: -2*j**3 - 455*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 264. Let t be z(0). Let y be (1\/(-4))\/(6\/t). Suppose -y = -w - 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**4 + 9606*b**3 - 974913*b**2 - 1988274*b = 0.\nAnswer: -2, 0, 107, 3097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2349)\/6)\/((-2)\/12). Suppose 5*k - 4696 - j = 3*p, k - 1409 = 5*p. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6172182 divided by -6?\nAnswer: 1028697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 9:42 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-7)*(-83)\/249. Which is the closest to -0.01? (a) -0.3 (b) y (c) -2\/27 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.23 - 0.07. Let u be (-6)\/24 + (-3)\/(-6). Let z = -2 + 2.1. What is the closest to u in v, z, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**4\/3 - 118800*s**3 - 7934174548*s**2\/3 + 68849835000*s + 444832857056\/3 = 0.\nAnswer: -44563, -2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 220006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002367 to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55006118319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/60 - 5*p**4\/12 - 28*p**2. Calculate i(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0388*-1141.87\nAnswer: 44.304556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 34*s**2 + 79*s**2 - 120*s**2. Suppose 5*g - 25 = 3*w, -4*g = 4*w - 12 - 8. Let x(m) = g*m - 3*m - m. Give o(x(z)).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49210816 is divided by 318?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (52 + -60 - (-1 + 4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 4. Determine x(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1288249, -1288264, -1288279, -1288294, -1288309, -1288324?\n\"Answer: -15*v - 1288234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 - -703\/9. Does 2\/5 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14200233 (base 5) to base 7\nAnswer: -1151256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.275 - 61055477.\nAnswer: -61055477.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 4*i + 4. Let z be p(-4). Let a be 2\/z*(-20)\/8. Let c = -3\/4 - a. Is c smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v = 48*v - 10. Let i be (4\/(-12))\/(v*(-4)\/12). Suppose 1\/6*h + i*h**2 + 1\/2*h**3 + 0 + 1\/6*h**4 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**4 + 14*m**3 - 375479*m**2 - 524419?\nAnswer: -8*m**3 + 42*m**2 - 750958*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 0.8 (c) -2 (d) -178 (e) -3\/7 (f) -0.33 (g) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8448063 - 8448063 + 252*k.\nAnswer: 252*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10743 is divided by 5362?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4 + 105*s**3 - 5135*s**2 - 24825*s + 236250 = 0.\nAnswer: -42, -9, 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 8, 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 10. Let n be (-6)\/g*8\/6. Solve 5*c = n*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8824*k - 594439 - 102657 = 0 for k.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppaezfzzeeefp. What is prob of sequence pf?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 14. Let q be t(7). Suppose -3*n - y + 4*y + 18 = q, -3*n - 3*y = 0. Let c(f) = 9*f**3 - 4*f**2 + 3*f + 1. Is c(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1067 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15125\/2286 + -84\/127. Calculate the common denominator of 27\/14 and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24022021 (base 6) in base 15?\nAnswer: -ec13d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -17.\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 5*x - 1. Let p be o(6). Let f = -4 - p. Which is the nearest to 0? (a) -4 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.023 and 123.42.\nAnswer: 2.83866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90496444 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70810763.\nAnswer: 17, 4165339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 40*y**2 + 77*y - 16. Let g be m(38). What is the hundreds digit of ((-2)\/3)\/(g\/51645*-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.84126 or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11*n**3 + 2*n**2 + 2. Suppose 10*a + 2*a - 24 = 0. Let w(z) = -351*z**3 - 65*z**2 - 65. Determine a*w(y) + 65*t(y).\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itt when three letters picked without replacement from athiaaiicaatiatiicti?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.08+24.9277\nAnswer: 24.8477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -31.6, 2, 5\/14, 18, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-5) - 1 - (-138)\/345.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1676339 is divided by 26189?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1309263 and 2610?\nAnswer: 39277890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = -5. What is the first derivative of -3 + 0*k**2 + 2 - v*k**2 + 6 wrt k?\nAnswer: -10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. Let y be (-158)\/(-4) + n\/10. What is the units digit of (y\/(-48))\/((-3)\/90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from olwollpoozo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 721, 1505, 2291, 3079, 3869, 4661?\nAnswer: 5455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqqmqmmmmm. Give prob of picking 1 q and 1 m.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6020758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*z + (583 - 31*z - 583)*(-27 - 14 + 12).\nAnswer: 901*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 4*z**2 - 2*z. Let y be x(4). Is -11 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -8 - -19 - 17\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.8226 micrograms in milligrams?\nAnswer: 0.2768226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*f - 59, -80 = -4*f + 4*u - 0*u. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - m**2 + m. Suppose 2*r + r - 15 = 0. Let l(f) = -6*f**3 - 5*f**2 + 5*f - 5. Suppose 0 = -12*h - 6 - 6. Calculate h*l(v) + r*a(v).\nAnswer: v**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2. Let x(z) = 3*z**2 + 2*z**2 - 7*z**2. Let t(p) = 13*k(p) + 6*x(p). Let g(w) = 2*w - 3*w + 6*w. Give t(g(m)).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 5*n + 2*n**2)*((-3 - 3 + 5)*(4*n - 5*n + 5*n) - 2*n - 3*n + 3*n).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 - 5) - (265 + -252).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -1399, 4, 111 in decreasing order.\nAnswer: 111, 4, -4\/7, -1399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7779*p**3*v**5 + 2*p**3*v + p**2*v - 7999*p**2 - 74*p*v**5 - p*v + 6 wrt v.\nAnswer: 155580*p**3*v**3 - 1480*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 10 + 7)*((m + 2*m - m)*(m - m + m**2) + 344 - 344 - 22*m**3).\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/288)\/((-1)\/3). Let h be (-1 - -1) + (6 - 1). Which is the closest to 2? (a) h (b) 1\/14 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2034 (base 9) in base 11?\nAnswer: -1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + s - s)*(3*s - 3*s + 2*s**2) + (2*s**2 - 3*s**2 + 3*s**2)*(2*s + 2*s - 3*s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2\/8 + 15993*c\/8 + 15991\/4 = 0.\nAnswer: -15991, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 2266?\nAnswer: 15862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -203\/10140 and -95\/16224?\nAnswer: 81120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1336855.9784 + -1336976.97840006. Let c = 536 - 415. Let p = z + c. What is p rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*i**3 - 18*i**2 - 46*i + 31909?\nAnswer: 33*i**2 - 36*i - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -299119, -299218, -299317, -299416, -299515, -299614?\n\"Answer: -99*b - 299020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2. Suppose 0 = -5*a - 15 - 20. Let o = a - -9. Let m(f) = -5*f**2 - f**2 + 3*f**2 + f**o. Give l(m(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/132)\/(4\/((-128)\/12)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/2 of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3bb (base 13) to base 10\nAnswer: -661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -59*p**4\/12 + 5787*p - 2. Let a(x) = 13*x. Determine g(a(q)).\nAnswer: -9971*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**3 - t - 6*t**3 + 5*t**4 + t**2 + 2 - 4*t**4 to the form o*t**3 + g*t**2 + p*t + n + r*t**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*((o**20*o)\/o)\/o*o)\/o)\/o**(4\/9))\/(o\/((o\/o**4)\/o*o)*o*o**20) assuming o is positive.\nAnswer: o**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**2 - 5*b + 5. Let y(m) = -20*m**2 - 12*m + 12. Let t(v) = -12*k(v) + 5*y(v). Let h(i) = i**2. Give h(t(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**3 - 37367*f**2 + 15*f + 59 wrt f.\nAnswer: -24*f - 74734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 379 - 199. What is the remainder when r is divided by 91\/((-164)\/(-205) + (-12)\/15 + 1)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/35, 0.19, 2\/39, -0.03, 4\/5 in increasing order.\nAnswer: -2\/35, -0.03, 2\/39, 0.19, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16771046113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*b - 3*b + 4*b + (-5*b + 4*b + 3*b)*(1 + 4 - 3) - 12 - 22 + 69*b + 30.\nAnswer: 84*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*z - z - 98 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34540744223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -100?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-2)**2 + -2 - (sqrt(272) - sqrt(17))*5.\nAnswer: -15*sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(v + v + 0*v + (2 + v - 2)*(1 - 1 + 2) - 3*v + v + 4*v + 21*v + 6*v - 9*v) to the form u*v + s and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5129164 and 44?\nAnswer: 56420804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -64709000 to the nearest one hundred thousand.\nAnswer: -64700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/19)\/x)\/(x**24*x)*((x\/x**(-3\/20))\/x)**50 assuming x is positive.\nAnswer: x**(-705\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -42 in decreasing order.\nAnswer: 2, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(560) + sqrt(560) + sqrt(560)*-2 + sqrt(560) + sqrt(560)))\/((sqrt(448) + -2*sqrt(448))*-3).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233 - -82. Let s = -617191 + 617342.0134. Let n = s + v. What is n rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 21 - 3 = 0. Let c = -3 + z. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/6*(-16)\/36. Let g(b) be the first derivative of 2 + 3\/4*b**4 + 0*b + 0*b**l + 3\/10*b**5 + 1\/2*b**3. Determine u, given that g(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + -315?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 8*t - 1. Let i be b(8). Let c = i - 4. Sort 5, 3, c.\nAnswer: c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1438\/7 or -8202?\nAnswer: -8202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -71*k**3 - k**2 - 21*k + 17. Let t(g) = 72*g**3 + 19*g - 16. Let i(q) = 5*r(q) + 6*t(q). Is i(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273117\/790 + -329\/158. Which is smaller: j or -349?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.89 + -5.01. Let b = -6 - m. Let z = -5\/2 + 19\/6. Which is smaller: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4721332 and 3\/3709618?\nAnswer: 51934652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 + x**3 - 2 + 0 + 10*x**2 to f*x**3 + c*x**2 + r + a*x and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 144*y + 63. Let x(s) = -9*s - 4. Let t(l) = -4*v(l) - 63*x(l). Let w(g) = -g**2. Determine t(w(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 587790606 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6025 is divided by 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q - 3*k + 10, 5*q + 5*k = 20. Let y be 4\/32*q*2*6. Let a be 6\/2*(-2)\/(1 - y). Solve 4*c - a*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 10. Let d = 21 - y. Solve 0*u - d = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -518 + 26. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a tonne in kilograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*b - 4, q + 0*b + b = 0. Suppose 3*l - 119 = -0*h - 2*h, q*l = 2*h - 140. Suppose -18*d + 16*d = -h. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 96 = 5*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*k**3 - 68 + 131*k**3 - 68*k**3 + k**2 wrt k.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + -3 - (3 + -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 6, -i + 4*h - 9 = 0. Suppose -122 = 5*l - q - 1349, l - 255 = -i*q. Let j(x) = 247*x - 2 + 2 - l*x. Let d(s) = 12*s**2. Give j(d(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7184.096 rounded to the nearest one hundred?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 3*o**2 + 18*o - 8. Let c be p(-3). Suppose -9*g - 1 = -c. Solve -g*i = i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*z + 43*z - 23*z)*(1 + 2 - 2)*(-3 + 1 + 1) as j + c*z and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6372\/81 + (93 - 172).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15, -111, -373, -885, -1731, -2995, -4761, -7113?\n\"Answer: -14*p**3 + p**2 - p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -3) + (-54 + 48 - (-1 + -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119277*f**3 - 28*f**2*y**2 + 5420111*f*y**2 wrt f?\nAnswer: -715662*f - 56*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/(-8))\/12)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62207 divided by 109?\nAnswer: 62207\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 14046\nAnswer: 294966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 98?\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1644*c**4 - 142*c**3 + 86*c**2 + 105895605 wrt c?\nAnswer: 6576*c**3 - 426*c**2 + 172*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -146376 (base 8) in base 13?\nAnswer: -1ab6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6 + 5*n - 3*n.\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 5)*((-5 + 5 + 1)*(2*a + 0*a + 0*a) - 2*a - 4*a + 5*a + (-1 + 2*a + 1)*(-2 - 1 + 4)).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 3*q - 60.\nAnswer: 3*(q - 5)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81\/8 + 2357\/232. Let y(p) = p**3 - 3*p**2 - 2*p + 6. Let j be y(2). Let b be 2*(j\/2 + 33\/22). Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*j**3 + 34*j**2 - 84*j.\nAnswer: 2*j*(j + 6)*(4*j - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 8*i**2 + 6*i + 2. Let z be d(-7). Let u be (-1)\/(-3) - (-222)\/z. Suppose 0 = 2*k + 2*k - 400. Calculate the highest common divisor of k and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**3 + 0*r + 3*r + 0*r**3. Give o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13630884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - x - 235 = -4*c, 225 = 4*c - 3*x. Suppose -4 = b - 3*b. Suppose b*a = 6*a - c. Solve o + 1 = 3*r - 0*o, 3*r = -3*o - a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/5 - 196616*n**3 - 161074053372*n**2\/5 - 8797059424256392*n\/5 + 8797220499292846\/5.\nAnswer: -2*(n - 1)*(n + 163847)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-167*l - 398*l - 390*l)*(5*l**2 + 3*l**2 - 5*l**2) to the form o*l + n + j*l**3 + c*l**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 808, 3843, 8992, 16255, 25632, 37123, 50728?\n\"Answer: 1057*g**2 - 136*g - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r + 807 = 31*r - 105 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6069*h - 5978*h - 546 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (207\/(-36) + 11).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 + 4 - (19 - (24 + -52))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9408132 - 6098355. Suppose -738223 = 4*b + v. Round b to the nearest ten thousand.\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12236 and 8512?\nAnswer: 195776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**4\/12 - 3*i**2\/2 + 76*i. Let o(l) = 1. Calculate -5*o(a) - v(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:55 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 15) in base 13?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -872 + 875. Solve 8*t = 9*t + n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 7*j - 12. What is the second derivative of -3*b**j - b + 7*b**4 - 3*b wrt b?\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.03, 0, 0.2, -0.065?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 12. Find v, given that 3*v - 3 + 3*v + 2*v**2 + m - 2*v = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 3\/25378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/7 (b) 0.1 (c) -426\/13 (d) -10\/7 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7651 is divided by 3399.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0086715081 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100 - 51*h + 195 - 95 to the form o*h + a and give o.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*y = -118*y - 15. Put -4, 4, -38, y in increasing order.\nAnswer: -38, -4, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*13\/((-182)\/4)*91*(-4)\/(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 21*f + 34293 = -43377. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 - 148\/(-20). Let i = -11 + x. Let k be ((-3)\/6*i)\/(-9). Sort -4, k, -3 in increasing order.\nAnswer: -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 9*c - 7*c = 17, 4*c - 31 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26461, 52850, 79171, 105424, 131609, 157726?\nAnswer: 183775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 + -94. Put -3, 8, m in decreasing order.\nAnswer: 8, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 10260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**3 - 60*i**2 + 3*i - 135. Let t(j) = 5*j**3 - 60*j**2 + 2*j - 134. Let d(h) = 2*m(h) - 3*t(h). What is the first derivative of d(p) wrt p?\nAnswer: -9*p**2 + 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a - 100. Suppose -4*l = -6*l + a. Let m = 153 + l. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 5. Calculate the remainder when 2\/(-6 + 2)*-30 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -1\/60*b**5 + 0*b - 1\/120*b**6 - 4*b**2 + 1\/6*b**4 + 0*b**3 + 0. Suppose -4*z - 3 = -3*z. Determine d(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130022 + -20?\nAnswer: 130002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48439*k - 24221*k - 1443 - 24216*k to the form m*k + g and give g.\nAnswer: -1443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -772254 divided by 36774\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + 5. Suppose 6*j - o = 11*j. Let u = -8 - j. What is the remainder when 5 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 629 - 614 = 2*x, -3*x = -24 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 22*z + 1\/40*z**6 + 13\/2*z**3 - 3\/80*z**5 - 9\/8*z**4 - 15*z**2 + 0. Factor h(g).\nAnswer: 3*(g - 2)**3*(g + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135 + 135.2. Is b smaller than -6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51720654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -8, 2*k - 191095 + 191108 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*t - 3 = 0, -6*x - 3 = 3*t + 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 253187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + u + 3*u)*(2 + 3 - 4)*(u + 6*u - 5*u) + (-u**2 - u + u)*(-2 + 1 - 1) in the form h*u**2 + l + x*u and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:45 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511344992?\nAnswer: 2, 43, 371617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 3*l + 2. Is u(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 23*p + 1. Let q(o) = 47*o + 2. Let s(m) = 4*q(m) - 9*u(m). Let t be s(-13). List the prime factors of 5 - 4 - t\/(-3).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 388\/35 + -54\/5. Let o = 267\/5 - 53. Let s be -1 + -4 - (-64)\/16. Which is the closest to 0? (a) o (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 842688 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 38 = 4*h, -72*t = -73*t + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 - -28. Let b = q - 140. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 5*t - 6, 167*j + 9 = 170*j + 3*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**2\/2 - 72090*h - 16646825\/2 = 0 for h.\nAnswer: -115, 28951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 0, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83895252846 + -83895243893.9991818. Let r = 8952 - c. Round r to 5 decimal places.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from araxrxaraxr. Give prob of sequence xaa.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3205 or -3200?\nAnswer: -3205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/9 + 81673*g**2\/9 - 163349*g\/9 + 9075 = 0. What is g?\nAnswer: -81675, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j = 439*j - 21101 - 22399. What is the remainder when j is divided by 65?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15231, 15248, 15251, 15240?\nAnswer: 15215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -5 - -11 - (0 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -232 divided by -15\nAnswer: 232\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6825.1687 - -6825. Round y to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*f**2 + 3*f - 55*f**2 - 459*f**3 - 79*f**2.\nAnswer: -459*f**3 + 2*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-343)\/(-441)*54*(-16)\/14.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 843 + -820. Let i be 4\/(-14) + (0 - (-112)\/(-294)). What is the third biggest value in 4\/7, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + n + 33 = 0, 0 = -o + 4*n + 6 - 0. Suppose 0 = j - 16. Let u(m) = j*m + 9*m - 5*m. Let g(x) = -7*x. Calculate o*u(c) - 17*g(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhrgrhmjm. Give prob of picking 1 j and 1 r.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 117357 - 1442552243\/12292. Let z = r - 909635\/331884. Find the common denominator of 149\/90 and z.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 8 = -c + 5*n, -2*n = -2*c. Solve -1 = -u - c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*h + 22, 5*h + 8 + 16 = 2*x. Solve 0 = 5*v + 2*m + m - 11, -x*m = 2*v - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27668 + -11109. What are the prime factors of h?\nAnswer: 29, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 247*p**3 - 7*p - 118. Let n(h) = 124*h**3 - 4*h - 59. Let z(x) = -4*j(x) + 7*n(x). Differentiate z(o) wrt o.\nAnswer: -360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 4*l - 37, 3*t = l - 2*t - 28 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49, -43, -37, -31, -25?\n\"Answer: 6*u - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3322144151\/7109115 + -2\/546855. Let f = 467 - u. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 2*3\/3. Suppose -3*b + 66 = q*k, 10 = k + k. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + sqrt(891)*2))**2.\nAnswer: 1620*sqrt(11) + 32301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -164?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74732 by 4396.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 6772074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69206?\nAnswer: 2, 34603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1451 is divided by 715?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d - 12*d - 2*d - 15*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14.44708? (a) -3 (b) 1\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269.151 + -3.151. What is the second biggest value in o, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -5 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 22 + o + 0*o.\nAnswer: o - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 - (-14)\/(-6). Let r be (1 + (-4)\/5)\/((-196)\/735). Sort r, a, 0 in descending order.\nAnswer: 0, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687468 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.7328369 rounded to one decimal place?\nAnswer: -282.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1440)\/30)\/48)\/((-4)\/2*(-8)\/240)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 299, 1, 2, 729, -3 in increasing order.\nAnswer: -3, 1, 2, 299, 729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -110*s - 177*s + 5740 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2150.05477 to the nearest 10.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*h - 15. What is the second derivative of 19*r - 10*r**h + 5*r**3 - 5*r**3 - 5*r**5 wrt r?\nAnswer: -300*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2, 2.2, -0.5?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*d**2 - 46*d**2 + 6 - 8 in the form i + v*d**2 + o*d and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -564?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1 - 34)\/(-2). Let b(r) = 11*r + f*r - 1 - 44*r. Let d be b(-1). Solve 5*a + 25 = -0*h + 4*h, -h + 3*a = -d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 45 + 4 + 3 - -1.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)\/(j*j*j**(-14)))\/(j**(-1)\/(((j*j**(5\/2))\/j)\/j)) assuming j is positive.\nAnswer: j**(373\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - -1 - ((63 - (7 + -57)) + -29).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1\/6, -1\/5, -7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1181943, -6, -2?\nAnswer: 1181943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/12 + 5*t**3\/3 - 5*t**2 + 3311*t. Determine d(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7606005*d - 36120629 wrt d?\nAnswer: -7606005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173.90505 - -7.87915. Let j = p - -166. Round j to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13611 and 48?\nAnswer: 217776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 711?\nAnswer: 70c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785807 is divided by 95.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 3*q + 15, 4*m + 4*q - 2*q = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 4*j**3 + 6*j - 2*j**2 + 148*j**4 + 148*j**4 + 147*j**4 - 445*j**4 in the form a*j + m + h*j**4 + s*j**3 + y*j**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.49 to 1 dp.\nAnswer: 25.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**3 + 3*i**2 + 5*i - 100. Give a(0).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d. Let s(f) = 30*f - 4. Let t(a) = 8*b(a) - 3*s(a). Let v(g) = 12*g. What is t(v(y))?\nAnswer: -24*y + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + 0.15. Let w = -9\/62 - 385\/124. Which is the third biggest value? (a) 1\/6 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*d**4 - 51*d**3 + 105*d - 191 wrt d.\nAnswer: -792*d**2 - 306*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 81331, 81334, 81337?\n\"Answer: 3*x + 81328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88 + 61 + 1043*k + 27 + (1 + 2 - 2)*(2*k + 4*k - 7*k) + k + k + k + 2 - 2 + k to w + b*k and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9752 = 2*z - 17806. List the prime factors of z.\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16*(-3)\/(-6 - -3). Suppose -3*z - 51 = -0*z. Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1504819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1466)\/462 - (-603)\/19899.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91664 divided by -591?\nAnswer: 91664\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + w, -4*m = 2*w + 2*w - 16. Suppose -m*p - 8 + 32 = 0. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1385575)\/(-703) - (-4)\/74. What is the greatest common divisor of 73 and d?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 5*b**3 - 9 + 4 - 4*b**3 + 3*b - 5*b**2. Let y be s(6). Solve 0 = 4*w - 3*w + 1, 3*m + 4*w = -y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 42. Suppose -r = -o*r + 3. Suppose -4*f - 247 = -5*q, -r*f - 150 = -q - 2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -2*f + 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44624354399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.0662 - -0.0662. Which is the biggest value? (a) -9\/7 (b) m (c) 0.4 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2 (b) -2 (c) -0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/652536 and -19\/3150?\nAnswer: 114193800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from uqqtvqfq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 2\/7, 7.6 in ascending order.\nAnswer: 0, 2\/7, 4, 7.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 9. Let q be p(9). Suppose q = -5*c - 20, t + 2*c = -2*t + 142. Calculate the highest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14*m + 71. Let y be k(4). What is the highest common factor of 55 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ffca (base 16) to base 9\nAnswer: -108737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 8:40 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 6*m + 6. Let p be u(7). Suppose 7*f + 133 = 126. Let d(r) = r**3 + r. Let h(c) = -2*c**3 - c. Determine f*d(q) + p*h(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -107434 times 8527?\nAnswer: -916089718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 divided by 4?\nAnswer: 193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*c + 21. Solve -r - c = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*d - 334*d - 561 = 0. Let x be (-60)\/(-45)*4241\/(-10). Let o = d + x. Calculate the common denominator of 26\/11 and o.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 7*i**3 + 9*i**2\/2 + 21*i - 3. Is t(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.324491 to 1 decimal place.\nAnswer: -20.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/4 - d**3 + 3*d**2\/2 - 5*d - 1. Let v be ((-8)\/(-12))\/((-3)\/(-18)). Suppose 4*t + v + 12 = 0. Determine c(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0.3. Let n = -8 - -8.2. What is the nearest to -1\/4 in -1\/4, n, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*u = -20, -2*u = -x + 3*u - 11. Calculate the greatest common factor of 2691 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0ea (base 16) to base 11.\nAnswer: -28a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31b2 (base 13) to base 16.\nAnswer: 1af9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 8*f. Let k(p) = p. Give -2*k(r) + n(r).\nAnswer: 2*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2042 * -1\nAnswer: 2042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*l = -40, 24*l + 85 = -5*s + 19*l. Sort s, -3, 23.\nAnswer: s, -3, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikz when three letters picked without replacement from zlikcgl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3651, 2548, 701, -1902, -5273?\nAnswer: -9424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427563?\nAnswer: 1427563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199327 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 5 (c) 3\/2 (d) 20 (e) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22003\/1166 - 200\/11. What is the common denominator of o and -31\/26?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -6851?\nAnswer: 6841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*f**3 + 3)*(-377 + 377 + 467*f**2) + (f**3 + 4*f**2 - 4*f**2)*(-f**2 - 7*f + 7*f) + 3*f**5 - 2*f**5 + f**5.\nAnswer: 935*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*j**2 + 3*j**2 + 0*j**2)*(-524*j + 3328*j - 613*j) to the form d*j + g*j**2 + m + x*j**3 and give x.\nAnswer: -13146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154*u - 456*u**2 - 153*u + 1271*u**2 to the form q*u + b + a*u**2 and give a.\nAnswer: 815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*x**4 + 54452*x**3 + 3*x**2 - 3895932 wrt x.\nAnswer: -12*x**3 + 163356*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11329*w + 4372*w + 5315*w + 494*w.\nAnswer: 21510*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 594.8 + -595. Which is the nearest to 1? (a) 0.4 (b) 0 (c) q (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**2 - 1056*t + 69696 = 0?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8418*d**2*i**2 + d**2 + 4*i**3 + 27623*i wrt i?\nAnswer: -16836*d**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46201, -44942, -43683, -42424?\n\"Answer: 1259*f - 47460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t + 45. Suppose t + 126 = 5*y. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -30. Let y(t) = 3*t**3 - t**2 + t - 4. Let s(d) = -7*d**3 + 2*d**2 - 3*d + 9. Determine r*s(g) + 9*y(g).\nAnswer: -g**3 - g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 + 82 = 7*a. Let r be (-10866)\/(-54) - (-1)\/(a\/8). Round r to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -5 (c) -21 (d) 4\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 2*(-114)\/4. Suppose 7*w - 5*w = 0, w + 36 = j. Calculate the greatest common factor of j and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 890*h**3 - h**2 - 26*h + 26. Is u(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154581000 rounded to the nearest one hundred thousand?\nAnswer: -154600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 3. Let y(c) = -3*c - 22. Let r(m) = -2*m - 11. Let i(q) = 5*r(q) - 3*y(q). Calculate the least common multiple of i(0) and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-6)\/17) - 3. Let s = 2.3 + -2.19. Let p = 0.39 + s. What is the third biggest value in 2, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-9 - ((6 - 75) + 11))) + 2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75480*r - 788684*r + 138483*r.\nAnswer: -725681*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = 4*q - 1710, -1706 = -4*q - 3*z. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 363 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 4 - 3 - 5 + 5 + (-2 + 5 - 1)*(3 - 5 + 3))*(-3 + 6 - 2)*(-2 - 1 - 8)*(3*v**3 + 2*v**3 - 3*v**3) as t*v**3 + q + y*v + n*v**2 and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 12:41 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, 0.5, -5, 32, -249?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*a = 254 - 2206, l - 392 = a. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2 + 3529882*k - 3115016733481 = 0.\nAnswer: 1764941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13*(-1 + (-2 - -9)). Let b be w - (-2)\/(-4)*-2. Suppose -4*x - 31 + b = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (414\/230)\/(5\/100*6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n**2 - 7*n - 4. Let g = -55 + 56. Let x(y) = -31*y**2 - y + 15*y**2 - 1 + 17*y**2. Calculate g*t(j) - 6*x(j).\nAnswer: 3*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f*f\/f**(-1\/4))\/f)\/(f**1\/f))**(-38))**26)**27 assuming f is positive.\nAnswer: f**(-33345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(2\/29)*q*q)\/q)\/q**(-1\/14))**(2\/5) assuming q is positive.\nAnswer: q**(813\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + x - 52 = 0, 4*x + 1 + 3 = 0. Let k = q - -23. Is (-1 - k\/18)\/((-2)\/(-561)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6709 and -0.028.\nAnswer: -6709.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a microgram in nanograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1568) - 6*(sqrt(1568)*1)**2)*-6*5.\nAnswer: -840*sqrt(2) + 282240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 48, 5 in decreasing order.\nAnswer: 48, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y**4\/y))\/y*y*y)\/y**(-2\/21))**42*(y**(-4)\/(y*y**4))\/((y**(2\/9)*y)\/(y*y*y**5)) assuming y is positive.\nAnswer: y**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004512686 rounded to 6 dps?\nAnswer: -0.004513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -6\/65, 3\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 9.8, -23, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -190*m**2 + 180*m - 159*m**3 - 28*m**4 + 52*m**4 - 19*m**4 - 21*m**3 + 185 = 0. What is m?\nAnswer: -1, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 245 = -2*k. Let s = 105 + -98. Calculate the highest common divisor of k and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 = -10. List the prime factors of (-18)\/(-1)*t\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**2 - 4896369*b + 53860422 = 0. Calculate b.\nAnswer: -1632134, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -357 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f = 309 - 5926. Calculate the remainder when f is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**2 + 30*v = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3671 - -6574. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*p = x + 4, -4*x = 2*p - 14. Find the first derivative of 4*c + 21 - 20 - x*c wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-112)\/(-10)*(-30)\/6. Let a = -55 - n. Solve 4 = 3*m + a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w + 3*c + 440 = -52*w, w + 109 = -4*c - 55 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*f**4 + 323*f**2 - 7758*f.\nAnswer: -396*f**2 + 646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/((y\/(y\/(y**(-1\/6)*y*y)))\/y))**(3\/29)\/(y**(-1)*y*y)**49 assuming y is positive.\nAnswer: y**(-2829\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92689\/44 + -8371\/4. Suppose 30\/11*h**3 - z*h**2 + 136\/11*h - 32\/11 = 0. Calculate h.\nAnswer: 2\/5, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286154 and 1342?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-74)\/148)\/((-2)\/8). Solve -x + y = -0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2)\/8 - 304\/64. Let j(q) = q**3 - q**2 + q. Let b(c) = 6*c**3 - 24*c**2 - 3*c - 24. Let p(u) = i*j(u) + b(u). What are the prime factors of p(20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3451967 + 1725963 + 2*a**3 + 1725968.\nAnswer: 2*a**3 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 8 + 8 + (6 - 4 - 1)*(2 - 2 - 2*c))*(-2 + 0 + 1)*(7 + 1 - 1)*(0 + 2 - 5)*(-9 + 9 - 4*c).\nAnswer: 504*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1812499590 and 7590?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, -0.5, 530173?\nAnswer: 530173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 - 37)*((-6)\/(-8) - 0). Let w = m - -52. Let h be (0 + w\/12)*42. Round h to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 451700 and 6?\nAnswer: 1355100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11101010101101 (base 2) to base 3\nAnswer: 202121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 13*o + 11. Let m be d(12). Which is greater: 1\/15 or m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20290892 to the power of 1\/2, to the nearest integer?\nAnswer: 4505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25186 and 1723442.\nAnswer: 3598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1207982 milligrams?\nAnswer: 0.0001207982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.4 (c) 89235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u. Find the second derivative of -y**5 - 38*y + 34*y + u*y**5 wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*s. Suppose -h - 2*g - 9 = g, g + 1 = 0. Let w be 60\/(-66)*h\/(-5). Do w and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 2, s: 5, o: 1}. What is prob of picking 1 k and 1 i?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from {s: 1, d: 2, c: 2, e: 2, f: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f\/(f*f\/f**(2\/5)))\/f)\/f)**(-29))**(1\/14)\/(f**5\/(f*f**7)*f**(1\/3)*(((f**(-6)\/f)\/f)\/f*f)\/f) assuming f is positive.\nAnswer: f**(1573\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l + 132 - 13*l - 9*l - l**2. Let v be h(-32). Solve v*o - 12 = 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.70296us in hours?\nAnswer: 0.0000000610286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 2. Let l(g) = g**2 - 1. Let d(w) = -6*w**3 - w**2. Let q be ((-2)\/6)\/((-2)\/(-6)). Let j be d(q). Give j*l(o) - 3*s(o).\nAnswer: -o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.04, -0.41, -0.3, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -707 divided by -1450.\nAnswer: 707\/1450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/66)\/1)\/(8\/32)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10764)\/(-832))\/69*-6.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.61 + -9.61. Put 4, 109, b in descending order.\nAnswer: 109, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 161070552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000053837 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 11. Suppose x*c = 2*c - 173. Let t = -114 - c. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3428204?\nAnswer: 2, 13, 65927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.149 + 0.149. Let z(l) = -l**3 + l**2 + l. Let p be z(1). Which is the closest to r? (a) 1\/12 (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 615506696*q**3 + 183957132*q wrt q?\nAnswer: 3693040176*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/84*-4)\/(32\/224).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*z**2 + 4*z - 4*z + 338*z**2 to x + s*z + w*z**2 and give w.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.496365 - -25.297. Let n = 5.8 - a. What is n rounded to 5 decimal places?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-60)\/70)\/(2\/14). Which is the second smallest value? (a) 1 (b) 2 (c) h (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1001 * 1836.\nAnswer: -1837836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -30. Calculate the greatest common divisor of c and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 14 + 83)*(3*g**2 + 3*g**2 - g**2)*(-3 - g**3 + 3) + (-2*g + 2*g - 2*g**4)*(1 - 1 - 2*g) - g**3 + 2*g**5 + g**3.\nAnswer: -129*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3*w - 4*w)*(78 - 78 + 68*w)*(4 - 2 + 0)*(-w**3 - 4*w**3 + 3*w**3).\nAnswer: -544*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2 - 6) + 2 - 2) + 451\/121. Put 1, 21, y in descending order.\nAnswer: 21, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 22. Let x be (2\/(-5))\/(3\/p). Solve -i - x = -3*j, 3*i = -i - 20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 17*d - 4097. Calculate j(73).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 330 - (-5 + 7\/(-7)). What is the highest common factor of 147 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*g**3 + 20*g**3 - 70*g**2 - 28*g**4 + 5*g + 8 - 5*g = 0. What is g?\nAnswer: -2, -1, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 2*g + 0*g - g. Let p(s) = 2*s - 3. Let t(y) = 3*y - 5. Let l(u) = -5*p(u) + 3*t(u). Give l(d(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 10) in base 8?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 1\/5 (c) 3 (d) -0.2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -428. Round t to the nearest 10.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349919 < 349920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgzx when four letters picked without replacement from zpxgpxxzgxzx?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24\/7? (a) 0.4 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 790324 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhuiuhuwiwhuhuiiw. What is prob of picking 2 h, 1 u, and 1 w?\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -269862.8157 to the nearest ten.\nAnswer: -269860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4 - 80*h**2 + 77*h**2 + h to q*h**2 + n*h + x and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*p + 116 + 3*p**2 - 3*p**2 + 20*p**3 - 84 - 24*p**2 - 4*p**4.\nAnswer: -4*(p - 2)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 7, m: 1, b: 1, a: 9, v: 1}. What is prob of picking 1 v and 1 a?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*d**3 - 19*d**2 + 16 - 32*d.\nAnswer: -(d + 4)**2*(5*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -2, -205 in increasing order.\nAnswer: -205, -7, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*c - 4*z, z = -5*c - z + 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2850 and 35926150.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 52196000 to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let r(y) = 2*y - 10. Let l be r(7). Solve q = -l*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j - 6 = -102. Factor -26\/3*x**2 - 40\/3*x**3 - 6*x**j - 4\/3*x + 0.\nAnswer: -2*x*(x + 1)**2*(9*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(300) + 0 - (sqrt(6)\/sqrt(2) + 2)) + (-2*sqrt(72))\/(sqrt(6) + sqrt(60)\/sqrt(160) + sqrt(6)))**2.\nAnswer: -130*sqrt(3)\/9 + 4252\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 866\/7*o - 216\/7 + 8\/7*o**3 - 872\/7*o**2 = 0.\nAnswer: 1\/2, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = 2*z + 75. Let v(b) = b + 1. Let j be v(1). Sort 3, j, z in descending order.\nAnswer: z, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16447 (base 8) to base 11\nAnswer: 5675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-6*(-1*sqrt(3630) - sqrt(30))\/sqrt(5))\/(-5*sqrt(192)\/sqrt(4)*5))**2.\nAnswer: -648\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1126 = 3*d - 48, 3*s + 714 = 5*d. Let y = s + 226. Which is bigger: y or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 66400 = -4*g. Round g to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1517987, -1518008, -1518027, -1518044, -1518059, -1518072?\n\"Answer: i**2 - 24*i - 1517964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3445201*d**2 + 3*d - 91645?\nAnswer: -6890402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.2 + 89.2. Let q = 27 + -24. Let d be (5\/(-150)*-10)\/(2\/q). Which is smaller: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 225, 228, 233, 240, 249?\n\"Answer: r**2 + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*r - 350. Let o = r - -191. Calculate the highest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t**3 - 20*t**2 + 16*t + 38. Is r(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:51 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 13*p. Let r(b) = -7*b. Let o(z) = 6*l(z) + 11*r(z). Let h be ((-12)\/(-28))\/(-4 - 228\/(-56)). Let w(m) = -7*m - 6. Determine h*o(j) + w(j).\nAnswer: -j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 809 + -7b1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 + -1 + (-2)\/(-3)*3 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 8*s - 25. Calculate the greatest common factor of s and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3 = -7. Let s(a) = 3*a - 2*a**2 - 1 - 4*a + 3*a**l - 2. Let x(u) = -u**3 - 4*u**2 + 5*u + 3. Let n be x(-5). Give s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 + 93*a + 699. Let d be x(-8). Solve -4*c - d = 45*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 62.\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4164\/(-936) - (-162)\/36?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 135 = 2*o, -5*q = -o + 52 + 8. Suppose -o = -2*x + 13. Calculate the remainder when 41 is divided by (-1)\/((-92)\/x - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 5*o - 3*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 2 + (sqrt(175) + -4*sqrt(175) + sqrt(175))**2.\nAnswer: 5*sqrt(7) + 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 174 = 2*l, l = 3 - 0. Calculate the remainder when 298 is divided by a.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 - -200. Which is the nearest to 8? (a) 0.1 (b) 3\/4 (c) h (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1379294 and -0.5.\nAnswer: -689647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 7*p)*(-2 - 2 - 1) + (-1 + 5 - 2)*(2 - 2 - 2*p).\nAnswer: -29*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o + 9991 = 19643 - 10156 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -548, -2456, -5570, -9836, -15200, -21608, -29006, -37340?\nAnswer: -46556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -c - 3 + 8, 3*c = 9. Let g(v) = 7*v**2 - v - 1. Let r be g(x). Suppose r*m - 45 = 2*m. Solve 2*a - m = -5*p + 7, 0 = -5*p + 4*a - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 5*a - 5, 102*a = 4*o + 99*a + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 - 13090*l + 91391. Give n(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - l + 0 = -8, 5*a + l = 14. Suppose a*r = 17 - 11. Solve 4 - 5 - 5*o**2 - r*o + 0 + 4*o**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9*y. Let j(q) = -33987*q. What is j(s(t))?\nAnswer: 305883*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 38*j - 9*j - 4*j)*(-7*j**3 - 33*j**2 + 33*j**2).\nAnswer: -175*j**4 + 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a*a**(-2\/5)))\/a))\/(a\/a**6*a*a)*(a**2)**(-33))\/((a\/a**(-2))**47)**50 assuming a is positive.\nAnswer: a**(-35557\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.632 + -0.75. Let f = 0.382 - g. Let z = -2\/63 + -55\/252. Which is the closest to -1\/2? (a) z (b) -1\/10 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*(q*q**(1\/5))\/q))\/q**(3\/8)*(q\/((q\/(q\/(((((q\/q**(2\/11)*q)\/q)\/q)\/q)\/q)))\/q))\/q*((q*q\/q**2)\/q)\/q assuming q is positive.\nAnswer: q**(707\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -65. Suppose -73 + p = -5*r. Differentiate -4*n - r + 1 + 5 - 5 with respect to n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24360.02 and -2?\nAnswer: 48720.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - -16 - (-10 + (6 - -5 - 8)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 6. What is the remainder when 25 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 + 8*u**2\/7 - 152*u\/7 - 320\/7.\nAnswer: 2*(u - 8)*(u + 2)*(u + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2244\/88)\/(-51)*-2*1*-8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -28, -4, -5 in descending order.\nAnswer: 3, -1, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*x - 2*x - 16, 5*x = 2*o - 20. Let u = 19\/3 + -6. Which is smaller: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*f - 1 = 0, -12*f = x - 8*f - 9. Let u(q) = -8*q + 2. Let y(w) = -15*w + 4. What is x*u(l) - 3*y(l)?\nAnswer: 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let j = -571.9 - -572. What is the closest to n in j, 0.3, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -13*z + 3. Let i be (-9 - z)*((-1123775)\/(-10) - 7). Let o = -119705 - i. What is o rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p + 155*p = -103*p + 5643 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -939, -1735, -2545, -3375, -4231, -5119, -6045?\nAnswer: -7015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from jhjhjhhkhjhjjhshh?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + -12. Let m = u + 18. Sort m, -3\/4, 1\/6.\nAnswer: -3\/4, m, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:23 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**4\/4 - 5*d**3\/3 - 4*d + 2. Let n be u(5). What is the units digit of (-8)\/2*2\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -3, 2, 59408, 4 in decreasing order.\nAnswer: 59408, 4, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -86?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79488 and 28224?\nAnswer: 3894912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*h - 18, 10*h = m + 9*h - 14. What is the remainder when (-4 + -4)*(-1 + -3) is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/((-65)\/260)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/17)*p*p)\/p)\/p*p*p\/p**27*p**(-2\/11)*p*p*p**(1\/4)*p*p*p assuming p is positive.\nAnswer: p**(-14645\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 9, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 11, h: 2, r: 1}. Give prob of sequence hhr.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + o - 82, 2*x + 3*o - 86 = -0*x. Calculate the lowest common multiple of 10 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pmpmpmmmppmp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/3669 (b) 2\/9 (c) 1\/4 (d) -2 (e) 41.55 (f) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377944 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 47588*o**2 - 690*o + 689. What is the tens digit of k(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140080 and 1030000?\nAnswer: 17510000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*h + 24 = 0, 0 = 95*k - 99*k - 5*h + 26 + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411936.1 days to hours.\nAnswer: 9886466.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4\/w**(-11\/3)*((w\/(w**(-44)*w))\/w)\/(w\/((w*w*w\/(w*w**(-23\/4))*w)\/w)) assuming w is positive.\nAnswer: w**(689\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/3 < -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-192)*-8 + (-69)\/6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeyq when four letters picked without replacement from xqqyueq.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r + 5*r**2 + 3*r**3 - 4*r**2 - 4*r**3 - 7*r**2 + 2. Give a(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5063*m - 5033*m - 540 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1\/3, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -4*r - 44, 2*w - 42 = -r - 48 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 + 0 = 0. Suppose -w = 3*j - 94. Suppose -j + 347 = 4*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*u - 11 + 3 = 0, -5*u - 20 = 0. Let y = 2 + v. Is 2 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*g - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*d + 6, 4*f = 3*d - 8*d + 35. Solve 0 = v + d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -405.6 - -405.63284. Round l to 3 dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1175 and 78960?\nAnswer: 394800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**2 - 697*u - 1519. Give g(-114).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + 22.7. Let k = 22 - o. Let h be (-3)\/1*2\/(-30). Which is bigger: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550645055 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1960035 and 875652.\nAnswer: 5091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a millennium in years?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 12) in base 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -5, -8\/9, 1, 18?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3180855 and 2580.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1386 = -11*g + 5*g. What is the highest common divisor of 33 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 86 - -9?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8623\/828 + -1523\/36. Let u = 76087\/2300 + n. Find the common denominator of -41\/6 and u.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 10*b**2 + 6*b + 5. Let x be p(-1). What is the highest common factor of 225 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 630\/11 + -611\/22. Let t = j + -29. Let z = -2\/99 + 35\/99. What is the closest to t in z, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (0 - -15 - (-239 + 262)) - -39.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 - 3 = 0, 5*l = 2*v - 14. Suppose 3*z = 3*r + 411, 6*z - 262 = 4*z - v*r. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6775 is divided by 1348?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7018 - 6961. Let v = -458 + 854. What is the remainder when v is divided by s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32420 + 1?\nAnswer: 32421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 5 - (9 + -11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.78 (b) -2.3 (c) 1 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 766*d + 745*d - 3043*d + 767*d + 773*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 29*m + 32*m = 7, 5*m - 25 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 21 + (5 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353, 744, 1133, 1520, 1905, 2288, 2669?\nAnswer: 3048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - q + 2*l + 5, 0 = -3*q - 2*l + 19. Suppose 4*g + 5 = -q. Is 9 a factor of g\/1 + (-88)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*p + 195, 0 = 3*c - 3*p - 48 - 249. Let b = 35 + -98. Let i = b + c. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/866101 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5311 + -532?\nAnswer: 4335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**3 + t**2 - t. Let r be z(1). What is the derivative of 0*m**4 + 0*m**4 - 1 + m**r - 1 wrt m?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 94*i - 85. Calculate q(93).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)\/s*s*s*s\/(s*s*s*s**4))**(3\/22)*(s**4\/s**2)**(7\/2) assuming s is positive.\nAnswer: s**(349\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**3*x*x)\/x*x)\/(x**(-6)*x)*((x**(1\/2)*x)\/x)\/(x**(3\/5)*x*x*x)*(x**(1\/10)\/(x\/x**6))**(-37) assuming x is positive.\nAnswer: x**(-894\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/u**(-5))\/u*u)*u*u**(-6\/5)*(u*u\/(u\/(u\/((u\/u**(-22))\/u))))\/(u*u*u**31\/u*u))**(-39\/7) assuming u is positive.\nAnswer: u**(11349\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/(-6)*(-2)\/(-15). Let g = -0.0945 - -3.0945. Let i = -39 + 37. Which is the fourth biggest value? (a) 0.1 (b) i (c) j (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 14 = 3*h, -5*h + 0*x - 5*x = 0. Suppose -2*q + h - 8 = 0. Let y be -3 - (-7)\/(-2)*-2. Put -2, y, q in descending order.\nAnswer: y, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561958 is divided by 4844.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -2) + 8 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22168929 or -22168930?\nAnswer: -22168929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 - 12*d**5 + 49*d**5 + (-1 - 2 + 1)*(0*d**3 - 2*d**5 + 0*d**3) - d**5 - 3*d**3 + 3*d**3.\nAnswer: 40*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7245682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*b - 324 = 0, -2*b + 810 = 5*o - 6*b. Suppose -20*y = 7*y - o. Solve -u = -y*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 40*x + 67 + 32*x.\nAnswer: 72*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/78 and -131\/74334?\nAnswer: 74334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffpfffpppfffp. What is prob of sequence pff?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12 - 0.02. Which is the second smallest value? (a) -0.03 (b) y (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -3594.\nAnswer: 1\/1198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 2778*h**2 + 126432*h.\nAnswer: 3*h*(h + 48)*(h + 878)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 17*d + 1.\nAnswer: 17*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -0.3 (c) -0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23306664631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 268\/(-24) + (-1)\/(-6). Let x be (-523011 - m)*(2 + 8). What is x rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*h + 367 - 367)*(-5*h + 6*h + 4*h).\nAnswer: -295*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184616 divided by 394872?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/8)\/g**(-1\/4))**5\/((g**(1\/3)\/g*g)**(2\/17)\/(g**(-1\/3))**(-25)) assuming g is positive.\nAnswer: g**(1723\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 + -94. Let p = -123 - h. Calculate the highest common factor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(2 + 0 + -3). Let n(s) = -14*s + 1. What is the tens digit of n(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-4)*(-5)\/(-15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -1802*r - 23436. Let a be x(-13). Let b(m) = 0 - m**3 - 12 - 3*m - 3*m**2 - 7*m**2. Determine b(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/13)*q)\/q**(-13))**(8\/9) assuming q is positive.\nAnswer: q**(1432\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 42 = o - 2*g, -5*o + 260 = 5*g. Let b be o\/(-12) + 3 - 6\/(-3). Solve 1\/4*a**2 + a + b = 0 for a.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2824, -2825, -2826, -2827?\nAnswer: -2828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 8*r**2 - 71277*r + 855866. Give s(12).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.97 + -2.97. Let i = 2.39 - -0.11. Let j = i - 0.5. What is the smallest value in j, n, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.044 - -12. Let k = 22.956 - x. Let u = k + -21. Which is the closest to -1? (a) -1 (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 6\/(-5)) + (-43)\/((-4300)\/1980). Solve y*v - 4*o + 32 = 17*v, -v - 14 = -2*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**2 + 0*m**2 + 183*m - 3*m**3 - 2*m**3 - 181*m to the form c + f*m**2 + r*m + b*m**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 4*k. Let w be i(-4). Suppose 0 = 5*h - 6 - 4. Suppose w = h*b - 5*b + 18900. What is b rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6 + 0 - m - 18*m**2 + 70 wrt m?\nAnswer: -36*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -344 + 688 - 13*z - 346 as l*z + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -440.821 * 24.\nAnswer: -10579.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 41*l + 216 = 24*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 44 = -2*d, 3*t = 2*d - 19 - 24. Let g = -20 + d. Which is smaller: g or 5\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141cc0 (base 15) in base 2?\nAnswer: 11101100010111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1879 - 30013\/16. Find the common denominator of -45\/8 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 59 - 197?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -2134 and -2133 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*d - 197*d - 23 = 5*a, 0 = -3*d - a + 5. Solve -4*l = -12, 11*p - d*l = 15*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from {j: 3, q: 3, w: 3, h: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12 - 12*c + 53*c**2 + c - 52*c**2. Let g be p(11). Solve 5*b - 5*m + 8 = -g, 0 = -5*b + m - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*z + 51, 4*m - 3*z - 49 = -m. What is the greatest common factor of m and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and -11.70453301968.\nAnswer: -20.70453301968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/4)\/((-85)\/68). Suppose -2*l = -5*i + 16, -x*l - 2*l = -4*i + 8. What is the lowest common multiple of i and 39?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**6\/105 + h**5\/35 - 2*h**3\/21 - h**2\/7 - 12*h - 11. Let r(v) be the first derivative of s(v). Let r(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2. Suppose 0*d + d = -h + 3, -3*h + 5 = -d. Let a = -488 + 490. Let w(f) = 292*f**2 - 160*f**h - 150*f**a. Calculate c(w(s)).\nAnswer: 324*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/6 + (-418)\/(-33) + -12. Let x be (-64)\/c*(-9)\/4. Solve 3*u - 27 = -5*a, 0 = a + 3*a + 3*u - x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01783454 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 99*21172\nAnswer: 2096028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 0. Let m be w\/5*(-110)\/4. Let j(h) = -h**2 - 2*h + 2. Let y be j(0). What is the greatest common divisor of y and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -17.8. Let z = -20 + m. Which is the closest to -0.1? (a) 0 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -341 in -70, -5522, -4?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by ((-15)\/(-4))\/(21\/56).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -w + 8. Solve o + 1 = w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l - 13 = -3*z, 2*z + 2*l = 14. Suppose z = -n + 2*n. Let j(q) = -n + 5 + 5*q - 4*q. Let b(g) = 2*g + 2. Give b(d) - 4*j(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43313*u**4 - 63*u**3 + 25009680 wrt u.\nAnswer: 173252*u**3 - 189*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12636142.11 + -12636297.1099854. Let m = 140.6 - -14.4. Let x = m + b. What is x rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2299) - ((sqrt(19) + sqrt(19)*-4)**2 + 0)) + 1 + sqrt(171)\/sqrt(9) + (sqrt(475) + 5)**2.\nAnswer: 62*sqrt(19) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 611500 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - -a1?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, s: 12, k: 2}. What is prob of picking 2 s?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 2, c: 1, a: 2, f: 4}. Give prob of sequence cr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 4*c - 7173 + 7169, -4*r + c = -11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -124.\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 5*n - 19, -5*c + 2*n = 6*n + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 12042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -22886589 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 75*s**3 - 76*s**3 + s**2 + 10*s**4 + 5*s**4 to r*s**3 + f*s**2 + k*s**4 + n + g*s and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/3)\/(u\/(u**(-2\/31)*u)*u)*(u*u**(1\/2))**(-42)*(u*u**2)\/((u\/(u**(1\/4)*u*u*u)*u)\/u)*(u*u*u**(-5))\/(u*u*u**(-2\/7)) assuming u is positive.\nAnswer: u**(-166297\/2604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5675711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 461 - 328. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in 1\/39, 5, 1\/2, 0?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 31, 3, 0.8318?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3265848.3 less than 0.23435?\nAnswer: 3265848.53435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 21 = 66 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 24*d**2 - 46*d + 4. Let n be s(22). Let x be 9\/(224\/n - -5). Let m = 8 + -4. Sort -3, 2, m, x in increasing order.\nAnswer: x, -3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*d - 4. Let x be (-124)\/8 - 1\/(-2). Let n = x + 57\/4. Which is the closest to 2\/7? (a) n (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103676, 207332, 310972, 414596, 518204, 621796, 725372?\nAnswer: 828932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 130 = 5*r - 132, 2*w + 6 = 4*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/(-21)*(-945)\/(-405)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -87692\/97 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 435*x**2 - 5*x - 435.\nAnswer: 5*(x - 1)*(x + 1)*(x + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -7, -4, -53, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 57*u**2 - 9*u**4 + 2*u - 70*u**2 + 12*u**3 + 195*u**2 - 6*u**4 - 66*u**2 in the form v*u**3 + y + f*u**2 + r*u**4 + o*u and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 13*y + 2. Let f(a) = -3*a**2. What is o(f(j))?\nAnswer: 9*j**4 - 39*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*q + 27, -3*q + 2*q = 2*z - 18. Let p = z - -3. Let x(t) = -t. What is the lowest common multiple of x(-4) and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/9)\/7*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 140 = 4*m. Let b(z) = 4*z**2 + 12*z - 14. List the prime factors of b(m).\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 445 - 300. Suppose a = -57 + u. Suppose 0 = 4*w - o - a + 5, -2*w = -o - 39. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 512338102 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) 0 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-12)*(-14)\/441?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30093*y - 30183 with respect to y.\nAnswer: -30093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 687 divide 55422098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -0.1.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 2848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 3424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiciiiiiiiiciii. What is prob of picking 4 i?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -317*t**2 - 143*t - 9. Let w(x) = -687*x**2 - 285*x - 19. Calculate 13*u(d) - 6*w(d).\nAnswer: d**2 - 149*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 120420263328298?\nAnswer: -120420263328298.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 192301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36\/205 - 6898\/41615. Let a = r - -1011\/406. Factor n**2 + 1 - a*n.\nAnswer: (n - 2)*(2*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = -i. Suppose 3*t - 40 = 2*a, i*t + 4*a = 4*t + 18. Calculate the remainder when 160\/14*(-21)\/(-6) is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 19*x**2 + x - 15. Let t be r(19). Solve t*j - 4*k - k = -19, -4*j + k - 7 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210082 * 0.22\nAnswer: -46218.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -617 divided by 7?\nAnswer: -617\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104952?\nAnswer: 2, 3, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x. Let t(b) = b**2 - 1352*b + 9 - 2 + 1346*b. Let h be t(1). Let z(v) = -2*v. Calculate h*c(q) - 11*z(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 5*f. Let b be -13*(-2 - 0) - f. Suppose 0*o - 37 = -3*p + o, 0 = -2*p + 2*o + b. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 9:01 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/85 - 62\/(-30). Suppose f*i - 1\/6*i**2 - 3\/2 = 0. What is i?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.74901l to millilitres.\nAnswer: 7749.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113032.\nAnswer: 2, 71, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 59 - 69 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*y + 68, -2*y = -q + 36 - 32. Suppose 5*j = 6 + 9. Determine p, given that -5*p**3 + 20 + j*p + 12*p - 5*p**2 + q*p - 7*p = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 + 1 + 3)*(-3*z**2 + 6*z**2 - z**2).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 96246488 to the power of 1\/2, to the nearest integer?\nAnswer: 9811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5961797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545321.\nAnswer: 7, 31, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20703 + -20703. Which is smaller: -1\/26289 or q?\nAnswer: -1\/26289","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzzzzmmzmmwzzzcwmzmm. What is prob of sequence mw?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 1087.\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 11*a**3\/3 - 1. Let u(l) = 3*l**2 + 5*l. Let h(m) = 5*m**2 + 8*m. Let o(b) = 5*h(b) - 8*u(b). Calculate z(o(q)).\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*v - 29 + 217 = 0, -v = 4*s - 204. Let a be s\/40 - (-2)\/(-8). Let r be 259 - (a\/(-1) + 2). Calculate the greatest common divisor of r and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12393245569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8320*q + 9307. Let s(d) = 5535*d + 6204. Let g(i) = 8*s(i) - 5*x(i). Differentiate g(w) wrt w.\nAnswer: 2680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102610 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 - 850 = 22*k. Calculate the common denominator of ((1107\/6)\/3)\/k and 127\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 102?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 - 14 = 3*x, -2*s - 2 = 0. Let h be (-10)\/8*x + 3. What is the nearest to 0 in -2\/5, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 24 = 2*w. What is the closest to 0.1 in -8, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*a = -153*a - 348. Solve -3*g + 2*c = -a, c - 4*c = -g - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870900 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781558?\nAnswer: 2, 17, 127, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31312301133102 + -3?\nAnswer: 31312301133033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 3*x + 5. Let y(i) = 4*i**2 + i + 6. Let g(z) = -11*z**2 - 4*z - 14. Let k(h) = 3*g(h) + 8*y(h). Let j = 28 - 22. Determine j*a(b) - 5*k(b).\nAnswer: -b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjzt when four letters picked without replacement from jnzjjztztzyntn.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*x + 82*x = 51. Solve -2*s - 4*g + 2 = 0, -3*s + x*g + 16 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 less than 13772537266?\nAnswer: 13772537266.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 6. Let r be i(-2). Suppose -175 = r*f - 7*f. What is the greatest common factor of f and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**10\/(f\/(f\/(f**9*f))*f))\/(f*f**(-1\/3)*f)**38)**12 assuming f is positive.\nAnswer: f**(-772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -20*a. Let p(d) = 100*d - 2. Determine 11*f(x) + 2*p(x).\nAnswer: -20*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/11225 and -3\/11345.\nAnswer: 25469525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 215?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -6. Let i = 2 - r. Is (-71)\/(-1 - (-3 + i)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002947 rounded to 5 decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -114, -225, -338, -453?\n\"Answer: -r**2 - 108*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.225 + -0.35. Let y = 0.325 + f. Which is the third smallest value? (a) -3 (b) -4\/5 (c) -4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 6. Let k be h(5). Let s be -4*(-18)\/(-24) - -8. Solve 0 = -s*i - k + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*d*r**3 - 2*d*r**2 - 4473*d*r + 8*r**2 + 22*r wrt r.\nAnswer: -588*d*r - 4*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63964 (base 10) to base 6.\nAnswer: -1212044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + m = -18, 3*m - 2 = -0*q - 2*q. Suppose -q*d + 2*f + 28 = 0, d + 22 = 4*d - 2*f. What are the prime factors of 8\/d*(-210)\/(-20)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 13*r**2 - 28*r + 21. Let c be x(15). Let n = -56 + c. Put n, 5, 0, 28 in descending order.\nAnswer: 28, 5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2055258?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + (14 - 7 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 5*c**2 + c + 2. Let t be l(-4). Suppose t = 5*p - 4*q, q + q - 8 = -5*p. Solve -p = -3*z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 420884 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*d - 2*d**3 + 9*d - 4 + 7*d.\nAnswer: -2*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29124 is divided by 1120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 74835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*i + 4*c*i + 25*c + 16*i + 10 wrt c.\nAnswer: -3*c**2*i + 4*i + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -33036\/31 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*h*r*v + 3*h*v - 3*h + 5*r*v + 25*v wrt r?\nAnswer: -15*h*v + 5*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84078 and 873.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-744)\/(-620))\/(1\/1665). What is the greatest common factor of 54 and c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10944 and 31867104?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 6:40 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.3 - -11648727349.\nAnswer: 11648727323.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 38*g**3 + 5*g + 12. Let n(s) = -29*s**3 - 3*s - 8. Determine -7*n(t) - 5*w(t).\nAnswer: 13*t**3 - 4*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6475 divided by 25?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 154 - k**3 + 17313*k - 17313*k.\nAnswer: -k**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.5 + -15.9. Which is the nearest to -1? (a) d (b) 15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-560)\/30)\/(-56))\/((-7)\/840)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/117 - 0\/1)\/54*168\/(-364)?\nAnswer: -2\/351","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 26\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1592*f**2 + 14762*f**2 + 96*f**2 + (-4*f + f + f)*(-6*f + 4*f + 0*f) + (2*f - 2*f - 2*f**2)*(2 + 0 - 3).\nAnswer: 13272*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39655294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 6*u + 4*u)*(-3*u - 4*u + 2*u) + 4*u**2 - 5*u**2 - u**2.\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33260 (base 12) in base 7?\nAnswer: -401346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 2:15 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 8:04 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8860 - 8808. Calculate the remainder when 822 is divided by f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 j, and 1 o when three letters picked without replacement from jljdljbjjjdldbljojbl.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**2 - 1149*m + 96 + 949*m + 324 = 0. Calculate m.\nAnswer: -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/1260 + (-1067666)\/(-16155)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -2*x + 10, 0 = 10*x - 6*x + k + 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -p + 3*s + 2, 10 = p - 2*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5 - 10*i - 5. Suppose 2*n + 5 = 1. Is t(n) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -22\/3143065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9)*a**2)**(-5\/12))**(-32) assuming a is positive.\nAnswer: a**(640\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/80)\/(10\/40*(-10)\/(-5))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**10*y)**(-37))**24)**(-4\/7))**9 assuming y is positive.\nAnswer: y**(351648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12094843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 7*w**2 - 6. Suppose -12*r - 62 - 22 = 0. Calculate j(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102.019 - -4.019. Is u greater than or equal to 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**4 - 10*l**3 - 6*l**2 + 98*l + 138. Let n(j) = -5*j**4 + 51*j**3 + 29*j**2 - 491*j - 687. Let k(d) = 11*b(d) + 2*n(d). Solve k(t) = 0 for t.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 8*g**2 - 6*g + 6. Let d be l(7). Let i = d + -9. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1067, 1170, 1443, 1970, 2835?\nAnswer: 4122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(16)\/(sqrt(392) + sqrt(8)) + sqrt(450)\/sqrt(9) + sqrt(2)))**2.\nAnswer: 60025\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 - 3*s**2 - 6*s - 3. Determine x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 10 - (1 - 45)) + 8?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*y**3 - 39845950*y**2 + 187844365*y + 56922550 = 0. Calculate y.\nAnswer: -2\/7, 5, 1138451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 0 - 22*o - 7\/2*o**2 + 1\/2*o**3. What is the tens digit of y(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r - 5. Let j(n) = 5*n**2 + n - 2. Let c be j(2). Suppose 0 = -0*m + 5*m - c. What is the remainder when 56 is divided by x(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5)\/u*u*u*u*u*u**(2\/3)\/u)\/(u**(-4\/9)\/(u\/((u**(3\/2)\/u)\/u))))\/((u**(-2\/7)*u*u)**47*u**(-1)\/(((u\/u**0)\/u)\/u)) assuming u is positive.\nAnswer: u**(-10075\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274084724?\nAnswer: 2, 3, 11, 23, 29, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 175805?\nAnswer: -703220","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 47, 68, 91, 116?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqiiqvqiqiqiiq. What is prob of picking 4 i?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + 5*o**4 + o + 3*o**3 - 6*o**4 - 4*o**3 to the form x*o**2 + d*o**3 + g + f*o + c*o**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 271524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 90361.77mm?\nAnswer: 0.09036177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -30, 0, 137, 3 in decreasing order.\nAnswer: 137, 4, 3, 2, 0, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 5. Calculate k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 20*z**4 + 4 + 4*z + 17*z**2 + 92\/3*z**3. Determine n, given that q(n) = 0.\nAnswer: -1\/2, -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**5 - 3396*v**4 + 225042*v**3 - 5441040*v**2 + 57933225*v - 230080500 = 0?\nAnswer: -1196, 15, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-1 - w**2 + 1) + (8 + w - 8)*(-3*w - 3*w + 0*w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 - 2040*h - 12059. Give d(516).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 6*g**2 - 7*g + 2. Suppose 2*q - 2*d = 12, -q = -4*q - 3*d. Suppose -4*s - q = 25. What is the units digit of c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152699?\nAnswer: 37, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 12) to base 9\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -7, 0, 3, -3 in descending order.\nAnswer: 3, 0, -3, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50413\/11*(0 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29232 by 12.\nAnswer: 2436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 16*u**3 - 2330*u**2 + 11. Let x(i) = -3*i**3 + 466*i**2 - 2. What is -2*k(s) - 11*x(s)?\nAnswer: s**3 - 466*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.5, 0.2, 3.8, 8\/9, -0.14, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 2635.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*y - 5 = 3, -4 = l - y. Suppose 3*f - 3*v - 8 = -5*v, f - v - 1 = l. Let x be (-36)\/19 + 3 + -3 + f. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.76 - -0.7. Let k = t - 3.94. Which is the second smallest value? (a) -0.03 (b) k (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c**2. Let b(t) = 46*t**2 + 4*t - 1583. Determine b(s(i)).\nAnswer: 4600*i**4 - 40*i**2 - 1583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 543 = 8*u. Suppose 0 = 3*w - u - 29. Calculate the greatest common divisor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 2 - sqrt(13))*1 + 4.\nAnswer: 6 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 10*u + 2*z - 9 = 0, -3*z + 16 = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.1 + -1.1. Which is the nearest to 1? (a) d (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32965 is divided by 677.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1727190544\/49 + -246939892563001\/7005628. Let f = 3\/4612 + q. Let b = 654\/217 + f. Which is smaller: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x - 1. Let y be n(3). Suppose -10 = -l + y. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igigigiigg. Give prob of picking 3 g.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 - 32. Let f(d) = -d**2 + 10*d - 12. Let x be f(7). What is the greatest common factor of x and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104580 divided by 20916\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -672.2029 + 672. Round i to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/19 (b) 9\/893 (c) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**4 + 258169*d**2 - 2482378*d wrt d?\nAnswer: -36*d**2 + 516338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/16*6*(-46)\/1173*-17.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 7) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(1 - -6) - (-2 - 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/35)\/(((162\/(-20))\/9)\/(-3))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11234108 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10605 + 18347. Is r a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-7 - -16 - (7 + -2)) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572152.\nAnswer: 2, 7, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**3 + 1485647*c**2 - 5*c - 71012964 wrt c.\nAnswer: 6*c**2 + 2971294*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (126\/12)\/((-1)\/622). Let a = r + 104571\/16. Let b = 4979\/30 - 500\/3. What is the common denominator of b and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 5)*(-141)\/47. Suppose 4*c - 6*w = -3*w + 263, 4*w = -4*c + 228. Calculate the common denominator of 22\/27 and c\/m*((-65)\/(-30))\/13.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 6*g**2 + 8*g + 1. Let x be w(7). Let j be (1 + (-3)\/1)\/(81 - x). Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*54\/108*(-90)\/35?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2773 or -1635?\nAnswer: -2773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 166009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (287 - (120 + 84)) + (1 - (2 + -23))\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -8*y + 3*y + 1, -2*y - 3*p - 4 = 0. Let s be (-2)\/5 + 14\/(-15). Let w = 16 + -15.5. Sort w, y, s in descending order.\nAnswer: y, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -71. Let c(l) = -l**2 - 10*l - 1. Give c(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-21) - 4496\/(-7) - 2. Suppose 0 = -5*g + 25, -19*g + 21*g - v = -z. List the prime factors of z.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -145992764, -145992763, -145992762?\n\"Answer: l - 145992765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 - 3.8. Which is smaller: m or 11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6623*d**3 + 1 - 6649*d**3 + 2*d - 3*d to u*d + t*d**2 + w + a*d**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u**2 + 5*u - 5. Let i(n) = -25*n**2 - 14*n + 13. Let c(a) = -8*d(a) - 3*i(a). Let p(w) = -w**3 - 12*w**2 - 9*w - 5. Calculate -9*c(y) - 2*p(y).\nAnswer: 2*y**3 - 3*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6192 = -1346*f + 1274*f. Solve 0 = -102*u - 800 + f for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167161391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 192 = 592. Calculate the remainder when r is divided by 133.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x - 5*x + (-4*x + 4 - 4)*(3 + 0 - 2))*(23*x**3 + 4*x**3 - 4*x**3).\nAnswer: -115*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*o + 2*u, -o - 14 = -2*o - u. Let i be 30\/(-25)*10\/3. Let q = 4 + i. Solve -5*z = -m + o, q = -z + 5*z + 4*m + 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 329078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-36)*642\/(-1605).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17769, 17670, 17475, 17160, 16701, 16074?\n\"Answer: -4*g**3 - 24*g**2 + g + 17796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-6) + 64\/(-96). What is the third derivative of -11*o + o**4 - i*o**2 + 43*o**3 + 8*o - 4*o wrt o?\nAnswer: 24*o + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 59 - 5\/(10\/6). What is the second derivative of a**5 + z*a**3 - 56*a**3 - 5*a wrt a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -4033*k**6\/6 + 2980*k**3\/3 + 43. Find the third derivative of y(s) wrt s.\nAnswer: -241980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6*1)\/((-1)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/20 + 25*o**4\/12 - 15*o**3\/2 - 3*o**2 - 614*o - 1. Determine w(23).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 12*n = -6. Factor 5*o + 24*o + 35 - 59*o - 5*o**n.\nAnswer: -5*(o - 1)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (299*f**2 - 307*f**2 + 2 - 5)*(f**2 + 4*f**2 - 3*f**2)*(2 - 1 + 0).\nAnswer: -16*f**4 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 279?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjc when three letters picked without replacement from {n: 2, t: 2, y: 1, c: 4, r: 5, j: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {h: 4, t: 1, y: 3, k: 1, e: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4251125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*g - 1 = -9, -5*j - g = 6. Let n = -502\/3 - -167. Which is the nearest to 2\/3? (a) n (b) j (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219*q**3 + 203*q wrt q.\nAnswer: -1314*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 711 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46971 and 117888?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*w = -658*w + 327*w - 2*h, -4*h = -3*w + 40 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**4 + 3*m**3 + 7*m**2 - 3*m - 3. Let r(b) = -b**4 + b**3 - b - 1. Let y(n) = g(n) - 3*r(n). Find the third derivative of y(c) wrt c.\nAnswer: 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**4\/4 + 4*g**3\/3 + g + 236. Let q be s(3). What is the second smallest value in 1.7, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0530283 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350)*3)\/sqrt(10))\/(3*2*sqrt(7)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6902, -7462, -8312, -9452, -10882, -12602?\n\"Answer: -145*r**2 - 125*r - 6632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c - 5. Suppose -3*p + 12 = -p. Let o be w(p). Suppose 0 = -4*v + o + 41. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6*m = 5*m + 18, 11 = 3*v + 2*m. Let o(z) = -z + 12. Let f be 7 - (3 + (-7 - -2)). Let b be o(f). Solve -b*l + v + 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*m - 297, 4*m + 16 = 4. What is the units digit of (1\/2)\/((-6)\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 217*m**2 - 40*m - 268. Is 8 a factor of j(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 491, 823, 1157, 1493, 1831?\n\"Answer: r**2 + 329*r + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 141, 208, 275, 342?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 15, -23*q + 25*q + h = -13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 4712?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*h + 0*h + 12 = 0, -5*m + 4*h = -16. Suppose 7*s = 2*s + 40. Suppose -3*o + s = o. Solve -5*w = -m*b, -b + 3 = -0*b - o*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (132\/(-55))\/(1\/(-5)). Let y = -10 + z. Let k = 6.3 + -1.3. Which is the biggest value? (a) y (b) 0.09 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/(-4)*88\/2002 - (-62625)\/422526 and -87\/2.\nAnswer: 10834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28096.59 rounded to the nearest one hundred?\nAnswer: -28100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a + 1a?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -203 and 1.112.\nAnswer: -225.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 36f31?\nAnswer: -36f2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**(-1\/4))*g)\/g*g*g\/g**5*(g**0)**(-43) assuming g is positive.\nAnswer: g**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(15)\/sqrt(5) - (sqrt(192) + 2 - sqrt(192))**2.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1485 and 57\/1480.\nAnswer: 439560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2447, -2453, -2471, -2507, -2567?\nAnswer: -2657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 17 - 135 = 4. Solve 4*f + z = -m, -5*m - 4*f = -2*f - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -840481814478 and -0.2.\nAnswer: -840481814478.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -114539.\nAnswer: -114536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3*b + 0*b)*(4*b**2 + b**2 - 3*b**2) - 122*b + 122*b + 18*b**3 + 4*b**3 - 2*b**3 + 2*b**3 + (-3 + 3 - 2*b)*(0*b**2 - 5*b**2 + 4*b**2).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o - 4662 - 6210 = 376*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3527559 - -14?\nAnswer: 3527572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 43*u = 38*u + 45, -10 = -2*u. What is the biggest value in -2, t, -0.5, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 12:47 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1202 + 1206. Which is the nearest to 1\/3? (a) -8 (b) -3.7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:57 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21019 + 11*z + 21019.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 355762937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 8. What is p(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11631 - -0.135.\nAnswer: 0.01869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n - 10 = 4*i, 2*n = 6. Does 12 divide i\/(-8) + 287\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -32.1. Put 5, k, 4, -1\/4 in decreasing order.\nAnswer: 5, 4, k, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776243.\nAnswer: 13, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*sqrt(475)*2 + 1 - 4*3*sqrt(475)*2) + -2)**2.\nAnswer: 160*sqrt(19) + 121601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1606\/99 - 4\/(-450)*-25.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -0*q - 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2256621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:07 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7144\/285 - 15 - (-9)\/(45\/(-50))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(1\/5))**(-24))**(11\/8))**(-39))**9 assuming m is positive.\nAnswer: m**(11583\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/10*(-2)\/(-3) + 426. Let x = r - -14. Let o = -124 + x. What is the greatest common factor of 35 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 7453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/4 + (-60)\/80)*(49 - 47). Which is the closest to 0.1? (a) -0.88 (b) v (c) 2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322333000 (base 4) in base 2?\nAnswer: 111010111111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y - 8*y**3 - y**3 - 2*y - y in the form x*y + s*y**3 + r*y**2 + g and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32885.\nAnswer: 5, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/55 + (-12)\/(-66). Let p be ((-3)\/(-12))\/((-3)\/(-12)). Is l > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/(3\/(-18)). Let t be (-100)\/(-6) + x\/(-6). Suppose -4*c - t = 0, -w + 0 = 3*c + 2. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-85\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 + 5 - (-22 + 25)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1148444 + 1768444. What is k rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1928*p**4 + 2152.\nAnswer: 7712*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adififiififubbiif. Give prob of picking 2 i and 1 a.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-24)*(-2)\/(-5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-5 - 0) + -1 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 14*w - 2. Is 16 a factor of v(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 15922. Let y(j) = 48*j. Determine y(b(a)).\nAnswer: 48*a + 764256","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 3398.96 + -3464.1131. Let p = z + -1.8441. Let v = p - -67. Round v to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 108 - 48348?\nAnswer: -48240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1270 and -47\/2317623.\nAnswer: 23176230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 9. Let h be a\/3 + -4 - (1 - 4). Suppose -6*d + h*d + 6 = 0. Solve 0 + 10 = -d*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155.974 + 1.626. Let g = -158 + h. Let r be 1 - (4\/(-6))\/(-1). What is the closest to g in r, 1\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-4\/3)*j)\/(j*j**(1\/3)\/j*j))\/(j*j**10*j**(-3)) assuming j is positive.\nAnswer: j**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f = 114*f + 43*f - 610. What is the lowest common multiple of 792 and f?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4\/4 - 1917*d**3\/2 + 27173*d**2\/4 + 549747*d\/2 + 929522 = 0.\nAnswer: -3841, -11, -4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 6630.\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -54415995 divided by 5\nAnswer: -10883199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.757898 centimeters?\nAnswer: 77.57898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**8*l**(-2)\/l*l)\/(l**(-2\/19)*l**(-1)))\/((l*l**0)**(-35)\/(l*l**(-2))**(-21)) assuming l is positive.\nAnswer: l**(1218\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104616 and 1621548.\nAnswer: 3243096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 928975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c - 23 - 10 + 12*c - 16.\nAnswer: 2*c - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + j + 18 = 5*o, -j + 2 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/330 + -3\/22. Let r(s) = -s**2 - 199*s - 974. Let x be r(-5). Let v = 1.5 + 0.5. Put v, x, 0.1, t in ascending order.\nAnswer: x, t, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/4 + (-31)\/4. Let q = 12 + b. Suppose 8 = 2*c + q. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 4*o + 160. Let x = 51 + o. Solve 3*n + 4*b = 2*n - x, -n - 5*b - 23 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 3*w**2 - 3*w. Suppose -8 = 7*x + 6. Let v be s(x). What is the tens digit of -8 + 6 + -1 + v + 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 784*z - 427273. Give l(545).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/42 - (-3)\/((-18)\/(-1330)). What is h rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 + 24050*f + 4*f**2 - 2 + 24051*f - 10*f**3 - 48103*f in the form g*f**4 + m + b*f**2 + z*f + u*f**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1723\nAnswer: 344.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*n - 127*n + 9*n**2 + 65*n + 15*n**2 in the form o*n**2 + u + i*n and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 8*w**2 - 67 + 18 + 254*w + 12 + 18.\nAnswer: 8*w**2 + 254*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let h(b) = 8*b. Let i(j) = -h(j) - 6*u(j). Let y(f) be the third derivative of 0*f + 6*f**2 + 0*f**4 + 0 + 0*f**3 + 1\/12*f**5. What is y(i(s))?\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/10 - 2\/(-5). Let h be (6\/30*-3)\/((-4)\/20). Solve 0 = z + 2*l - 7 + r, h*z + 3*l - 15 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31219395?\nAnswer: 3, 5, 17, 23, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.05708935 to two decimal places.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -355, -2, 1 in descending order.\nAnswer: 1, -2, -4, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 - 1 = 5*a - 4*v, 2*v = -4*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1071, 4402, 9949, 17712, 27691, 39886, 54297?\nAnswer: 70924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/10)*k*k**(-24))**(-1\/5))**(22\/3) assuming k is positive.\nAnswer: k**(803\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 3*p**2 + 5*p. Let s be b(-7). Let c be (s - -4)*2\/5. Let w = -1314 - -1358. What is the highest common divisor of c and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 89. Calculate the remainder when s is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*m + m - 4*m)*(-5*m**2 + 2*m**2 + 2*m**2) + 60 + 100*m**3 - 60 to p*m + x*m**3 + b + i*m**2 and give x.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.247 + 21.553. Let q = g + -18. Let d = q + -4. Which is the closest to d? (a) 1 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -9. Suppose 0 + 4 = -h*k. Suppose c - 16 = -18. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3 = 0, -2*b + 5*g - 6 = 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 865366*n. Let t(g) = 34*g**2 - g. What is t(o(d))?\nAnswer: 25461182674504*d**2 - 865366*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 14*s - 3. Let n = 57 - 54. Let k(l) = 5*l - 1. Let t be 3*-2*4\/3. What is n*r(q) + t*k(q)?\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16857650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 2:15 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 12*u**2 - 20*u + 5. Let z be t(10). Solve h + z = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 190258896, 190258887, 190258864, 190258821, 190258752, 190258651, 190258512, 190258329?\n\"Answer: -r**3 - r**2 + r + 190258897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -42 - ((22 - 0) + 560 + -571)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 + 4*b**2 + 6*b**4 - b**2 + 0*b**2 - 2*b**4 in the form o*b**4 + t + q*b**3 + p*b**2 + v*b and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b53eb (base 16) in base 9?\nAnswer: 1351315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1424, 3105, 4790, 6479?\n\"Answer: 2*z**2 + 1675*z - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 1. Let k be b(2). Let m(d) = 15*d + 7*d**2 + k*d - d**3 + 9 - 27*d. What are the prime factors of m(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(20)\/(sqrt(10) + sqrt(60)\/sqrt(6)).\nAnswer: sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1050 and -137\/39396.\nAnswer: 984900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -27*(4\/6 + 5\/3). Let x = 57 + u. Let s(f) = f**2 + f - 4. What is the tens digit of s(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (463*z - 262*z - 237*z - 6)*(-3*z**2 + 3*z**2 + 2*z**2).\nAnswer: -72*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 32501*m**2 + 3*m + 2. Suppose -4 = b - 2*l, 3*l + 5 = -2*b + 4*l. Let x be z(b). Round x to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*t**2 - 7*t**2 + 8*t**2 + (3*t - t - 3*t)*(t + 4*t + t))*(-3 + 18 + 2) as a*t + g + o*t**2 and give o.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1102012220222?\nAnswer: -1102012220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12496 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35927738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -88\nAnswer: 117\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 5:16 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*7\/(231\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 0*d**4 + 0*d**2 + 1\/6*d**6 + 0*d**5 - 5\/6*d**3 + 0 - 5*d. Find the second derivative of r(g) wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2\/5 + 15335964*p + 97996579920540 = 0. What is p?\nAnswer: -12779970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115677525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/27 - 237\/27. Let n be (b\/(-15))\/((-2)\/(-20)). Solve 4*r + 6 = n*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 8) + (8 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*b - 43*b - 388*b - 239*b + 77406 = 0 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-180)*(2 + 1)\/3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11225277, -22450551, -33675825, -44901099, -56126373?\nAnswer: -67351647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10))**(-34\/3)\/((b*b**(11\/2))\/b**(-8\/7)) assuming b is positive.\nAnswer: b**(4439\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 + 2*h + 220. Determine j(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.91968 rounded to 1 decimal place?\nAnswer: -69.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 258508441 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 48 = -3*s. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-5))\/t)\/t**10)**13 assuming t is positive.\nAnswer: t**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*d)*(2*d**4 + 1121 - 5*d**3 - 143*d**3 - 1123) + 10*d - 312*d**3 + 312*d**3 - d**5.\nAnswer: -5*d**5 + 296*d**4 + 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-293050520)\/(-15876) - (-4)\/7. Let m = j + -18460. Calculate the common denominator of -61\/6 and m.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 12 = 2*d. Suppose 2*i + 4*b - 146 = 0, 5*i - 257 = d*b + 160. Calculate the remainder when i is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.6 - -55.6. Let r = f - 48.9. Let t = -4.02 + 4. Which is bigger: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, -1, 1\/25, 6.\nAnswer: -1, -0.2, 1\/25, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1106044564.\nAnswer: 5530222820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 + 0 = 0. Let b be (p\/5)\/(1\/5). Solve 3*h - 5*a + 10 = -4, -12 = 5*h + b*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(9) - (sqrt(90)\/sqrt(160) + sqrt(9))).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 2*a**2 + a**2)*(-3*a**3 + a**3 + 0*a**3 + (-2*a + 3 - 3)*(-a**2 + a**2 + a**2) + 18 - 13*a**3 - 18).\nAnswer: -34*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 163509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179, -5, -4, -3, 4 in increasing order.\nAnswer: -5, -4, -3, 4, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 100 - 43 - 15*u in the form f*u + h and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 2373.6948?\nAnswer: -2373.4948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-70)\/30)\/(182\/(-12)) - 141\/(-13). Solve 31*l = -t*l + 42 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 13*g**2 - 4*g - 23. Calculate u(-4).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = -2*b - 17, 2*r - 30 = 4*b. Suppose -4 = -r*v + 9*v. Let t = 23\/100 - -1\/50. What is the smallest value in 4\/7, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120445099?\nAnswer: 1693, 71143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + (38 - -18) - (0 - (4 - 1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 33*c + 247. Calculate q(-20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22887 in -4, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/9)\/(18\/(-270)). Solve -2*r - 3*r - 2*j = -11, 5*r = k*j - 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 2ab?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6905454192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.339095 + 0.24198. What is r rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 550 = 5*c, 0*c - 4*c + 2*m + 448 = 0. Suppose -21*y + 1061 = -2530. Calculate the highest common factor of y and c.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u + 27*u + 25 = 0. Suppose 2*t + u*t = 4592. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006758 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -225*m + 222*m + 65, w + 2*m - 40 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 124936 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -655.0018 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -17 + 2 + 15 - v**2. Let j(i) be the first derivative of 8*i**3\/3 - 1. Give p(j(y)).\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -20*r**2 - 2*r - 5. Let g(h) = -99*h**2 - 10*h - 26. Calculate -2*g(t) + 11*p(t).\nAnswer: -22*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2472 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67ff + 11?\nAnswer: -67ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 72.831080527 and -0.4.\nAnswer: 72.431080527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/1129 - -10128\/12419. Calculate the common denominator of (-191)\/(-30) + (-1)\/(-3) and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:59 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -237*p**4 + 4*p**3 - 234*p**2 + 69296629 wrt p?\nAnswer: -948*p**3 + 12*p**2 - 468*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 6\/(-10) + (-253)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -2 - ((-147)\/(-30) + -3). Is q greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**3 + 15*x**2 - 7. Let b be u(7). Let h = -824 - b. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1679.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 12:49 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/120 - 7*b**5\/60 - b**4\/4 - 5*b**3\/6 - 9*b**2. What is j(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(26)*4*3)\/((sqrt(72) + (sqrt(72) + -3*sqrt(72) - sqrt(72)) + sqrt(72))\/sqrt(4))*-3.\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*a**5 + a**3 - 127*a**2?\nAnswer: -5100*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -480930 divided by -4?\nAnswer: 240465\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 77601920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-64)\/6)\/2*(-207)\/(-6). Let i = 317 + h. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 4*h**2 - 2*h - 6. Let l be t(-4). Suppose 0 = -l*c - 21 + 49. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(288) + sqrt(288) + -1)*6)**2.\nAnswer: 864*sqrt(2) + 10404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*h - h**5 - h**5 + 4*h + (h**5 + 3*h**4 - 3*h**4)*(4 + 1 - 4).\nAnswer: -h**5 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278180425.\nAnswer: 5, 19, 585643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/(-55) + (-1025148)\/(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.61 and -9?\nAnswer: -14.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -326566\nAnswer: 3\/326566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 - (-5 + 11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 65, 159, 293, 467, 681?\n\"Answer: 20*d**2 - 6*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 161840*t. Let b(s) = -196*s**2. Determine v(b(q)).\nAnswer: -31720640*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**4\/78 - 21*d**3\/13 - 64*d**2\/13 + 210*d. Let c(s) = 0. What is s?\nAnswer: -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499) + 2*sqrt(2499) - sqrt(2499))\/(sqrt(3) + sqrt(27)\/sqrt(81)) - -3*(-4 + ((sqrt(17) - sqrt(34)\/(-1*sqrt(2))) + sqrt(17))**2).\nAnswer: 21*sqrt(17)\/2 + 447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 3. Let g(b) = b**2 + 10*b + 13. Let j be g(-9). Does 7 divide q(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 944, 2048, 3160, 4286, 5432, 6604?\n\"Answer: b**3 - 2*b**2 + 1103*b - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 3. Let i be j(8). Let f = -6 - i. Suppose -2*l + 3*l + 4 = -2*k, -31 = f*l - k. Put -5, 0, l in descending order.\nAnswer: 0, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1) + 3*2. Suppose i = -o*s + 19, -3*s = i + 2*i - 9. Let f be -1 - 0\/(i - 0). Is -1\/2 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)\/(t**2*t))\/(t**0\/((t\/((t**(2\/9)*t)\/t))\/t*t)))\/((t**8\/t*t)\/((t*t\/t**(-4\/5))\/t*t))**(2\/19) assuming t is positive.\nAnswer: t**(-4078\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 16*i**2 + 19*i - 47. What is s(15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + 0 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(448) + sqrt(448) + -1))**2 + -4.\nAnswer: -32*sqrt(7) + 1789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67480 is divided by 243.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103476.914300145 - -103484.6143. Let r = k - 7.7. What is r rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x - 26. Let f be o(-6). Suppose 0*w + 3 = w. Suppose h = w*h + 10, f*h = -4*a. Solve -4*y = 6*i - 5*i + 4, 3*y = a*i - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 462000, 460910, 459820, 458730, 457640, 456550?\nAnswer: 455460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbbbbbbbbbbcbbb.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - 17*w**2 - 11*w + 11. Let m(v) = v**3 + 9*v**2 + 6*v - 6. Let f(l) = 11*m(l) + 6*r(l). Find the third derivative of f(h) wrt h.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55725*z**4 - 251*z**3 + 112229606*z**2?\nAnswer: -1337400*z - 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 30 = 5*d. Suppose -4*k + 26 = -4*u - 2*k, -24 = u - 4*k. Put d, u, 3 in decreasing order.\nAnswer: d, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8632 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2448))**2 + 3.\nAnswer: 61203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 67. Let z(t) = t**2 + 5*t. Let h be z(-4). Is -1 - h\/2 - p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4 - 3) + 58 + -49.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/27)\/(36\/(-270)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*w + 30*w - 579007000 = 2*w. Round w to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 12:53 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52211503 + 154?\nAnswer: -52211305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4912 = 23*d - 80789. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 325455 less than or equal to 325459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 + 109. Does 36 divide 9\/((-68)\/a - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19878 is divided by 292?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdi when three letters picked without replacement from offofdiccidfomdii?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 126\/49)*2796\/2097.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*7090\/(-60)*-2. Let r be (0 - -1)*2 - -1947. Suppose -r = -c + 2*k, -5*k - a = -c + 1240. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/1337 + -405096\/6685. Let k = f - -61. Let a(x) = x**2 + 9*x - 4. Let i be a(-10). Is i greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17751 is divided by 5219?\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(300)*4 + -1 + ((sqrt(300) - (sqrt(300) - (sqrt(300) - (-3 + -2 + sqrt(300)))))**2 - -2*(1 + sqrt(300))).\nAnswer: 30 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805913904 to the power of 1\/3, to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 212 + -203. Differentiate 110 + 7*s**4 + 2*s**4 + 2*s**4 - b*s**4 + 41*s wrt s.\nAnswer: 8*s**3 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9914, 38850, 87060, 154544?\nAnswer: 241302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19776 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2268989837 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + 48\/(-240)*-145?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 5*x**3\/3 - 4*x**2 - 23*x. Let q be n(1). Factor -8*j**2 - 24*j + 36*j + 2*j**3 - 6*j**q.\nAnswer: 2*j*(j - 6)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 106*b + 2025. Calculate i(-75).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pop when three letters picked without replacement from {o: 1, p: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791*d = 780*d + 429. Calculate the remainder when 3945 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h + h)*(11*h**3 - 8*h + 8*h) + 0 - 1 + 2*h - 4*h + h**4.\nAnswer: 23*h**4 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18773885 is divided by 736.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5887 + 5889. Solve 2 = 3*o - 24*g + 28*g, 2 = f*o + 3*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -38, -85, -170, -305, -502, -773, -1130?\nAnswer: -1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 884 and 18?\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3404 + 3007.26. Let h = z - -393. What is h rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -21. Let r(g) be the first derivative of g**2 - g - 3*g - 3 + 2. Determine r(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8800 and 20960?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0 + 2\/3*u**3 + 0*u + 1\/15*u**5 - 1\/120*u**6 + 5\/24*u**4 - 2*u**2. Let s = 13 + -8. Determine o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 466456, 932888, 1399268, 1865572, 2331776, 2797856, 3263788, 3729548?\nAnswer: 4195112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10*x - 45 = 0. Suppose -2*l + x = -5*a, 0 = -4*l - 5*a + 8 + 55. Suppose -46 = -t - t. What is the remainder when t is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/13, -2\/9, 2 in descending order.\nAnswer: 4, 2, -2\/9, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606815.\nAnswer: 3, 5, 7, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 < 41293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -221168*h - 200003 with respect to h.\nAnswer: -221168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -20*p - 7. Let x be g(-7). Suppose 168*a - h = 169*a + 116, -4*a - 464 = -2*h. Let w = x + a. What is the remainder when 62 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95002*f + 94997*f - 25 = 5*m, 3*f + 18 = -6*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*d**2 - 2*d + 40 - 29*d**4 + 25*d**4 - 145*d**2 in the form i*d**3 + t + b*d**4 + z*d**2 + f*d and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 455.9546 - -0.03.\nAnswer: 455.9846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -41. Which is the third biggest value? (a) 0.3 (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**11)\/z**12*z\/z**(-1)*z\/z**12)**(-20) assuming z is positive.\nAnswer: z**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, -1, -11\/7, 2\/5, 3\/313?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 1:38 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - f**3)*(-508*f**2 - 79185*f + 79185*f).\nAnswer: 508*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n - 7. Let b(z) = 1600619*z. What is r(b(s))?\nAnswer: 20808047*s - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 2:17 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 752 divide 12172160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5609796.\nAnswer: 2, 3, 17, 107, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/3 + 1456*y**2\/3 - 29720*y\/3 + 149600\/3 = 0. What is y?\nAnswer: -748, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0 + 0*o + 1\/8*o**4 - 1\/30*o**5 - 1\/2*o**3 - 2*o**2. Let g be t(-3). What is g rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 921457700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-6)\/t*t)**32)**23)**(3\/4))**14 assuming t is positive.\nAnswer: t**(-38640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44629.1622 minutes to weeks.\nAnswer: 4.42749625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - (-19 + 1)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -7. Let i = 1 + -1. Let k(f) = -f**3 + 5*f**2 - 5*f + 6. Let n be k(3). Put l, i, n in decreasing order.\nAnswer: n, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * -6.222\nAnswer: -13.0662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5698613 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*v + 15 = 0, 2*y - v = 4*y - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 4*s**2 - 7*s - 8. Let b be o(-5). Suppose 5*t - 17 = 8. Suppose -z = t*z. Solve b*c = -z*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1077, 2975, -5 in increasing order.\nAnswer: -1077, -5, 2975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4487\/4 - 1116. Let m = i + -5. Do m and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - w + 651, 2*a - 416 = w - 89. Is a*(3 - (1 + 1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 + -1.4. Let t be (-1)\/((-4)\/19) + -4. Which is the third biggest value? (a) t (b) y (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69050 divided by -34525\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -225 divided by -75?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 5, x: 12}. Give prob of picking 3 u.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 + i**3 - 2*i**3 + 6*i**2 + 2*i**4 - 4*i**2 to p*i + x*i**2 + k*i**4 + c*i**3 + g and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 4*h**3\/3 - 5*h**2\/2 - h. What is the remainder when q(2) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**4 - 2*d**3 + 74849*d**2 + 354087*d?\nAnswer: 24*d**2 - 12*d + 149698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 148882, 297937, 447150, 596515, 746026?\n\"Answer: -v**3 + 85*v**2 + 148807*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 118786920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5\/3 + 10*j**4\/3 - 722*j**3\/3 - 3610*j**2\/3 = 0.\nAnswer: -19, -5, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5534999 rounded to the nearest 1000?\nAnswer: 5535000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/4)*o**(-3))\/((o\/o**(2\/7))\/((o**9\/o)\/o)) assuming o is positive.\nAnswer: o**(57\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 86927\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30 + -2 + 3 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162519?\nAnswer: 3, 7, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/5 + y**3\/5 + 12*y**2\/5.\nAnswer: -y**2*(y - 4)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6) - ((-10)\/(-60))\/(14\/(-64))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3 and -93\/674?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) + (-282)\/(-24). Is 12 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1040658, 4162636, 9365932, 16650546, 26016478, 37463728, 50992296?\n\"Answer: 1040659*c**2 + c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193686, -193701, -193726, -193761, -193806?\nAnswer: -193861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -18) + (4 - (0 - 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 l, and 2 i when four letters picked without replacement from pioliiiojjobipjiiip.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.98 take away 2443.87906?\nAnswer: -2446.85906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 + -0.03. Let n = 0.02000045 - b. Round n to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7964, -13078, -18194, -23312, -28432, -33554, -38678?\nAnswer: -43804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -403, -580, -757, -934, -1111?\nAnswer: -1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/53 + -116\/265. Suppose -2*x - 5 = -5*i, x + 3*i + 1 = 6*i. Let n be (-36)\/8 - -2 - 85\/x. What is the nearest to -1 in y, -5, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 1 - (372 - 376)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/9)\/(1\/(-9)). Let z = 9.384 - -5.616. What is the closest to 0.1 in 2, z, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*t + 1120 = 10*t. Which is the nearest to -0.1? (a) 3\/4 (b) t (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68541 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*(sqrt(1331)*-2*-5 + -3))**2.\nAnswer: -10560*sqrt(11) + 2129746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + 0 + sqrt(684) + sqrt(684)*-2)**2 + (3 + -3 + sqrt(684) + sqrt(684))**2)*-3.\nAnswer: -8208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56861872.\nAnswer: 2, 17, 349, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {q: 1, x: 2, j: 2, h: 2, w: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = 4*x - 24, 512*w - 517*w + 8 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 220031479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12049 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/((-185)\/(-6)*77\/1540*-9).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 2*q = 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45099\/(-20044))\/((-495)\/30*2\/4).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyq when four letters picked without replacement from qqyyyy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 425012*a\/5 + 849984\/5.\nAnswer: 2*(a + 2)*(5*a + 212496)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5 + 0 = 0. Let r(a) = -a**2 + 3*a - 2. Let z be r(3). Let c be -1 - ((-3)\/(-5) + z). Which is greater: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -586219a7?\nAnswer: 586219a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -23. Let l be (-40)\/(-2)*(-9)\/(-18). Let i be l + (0 + -2 - 1). What is the greatest common factor of o and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 65 = -3*f, 4*f - 4*q = -f + 91. Suppose 2*y + 40 = -3*y. Is y*(-1 + f\/(-4)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4029 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38397836 to the nearest integer?\nAnswer: 6197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, -5 in decreasing order.\nAnswer: -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6*((-646)\/(-19) + -19). Calculate the greatest common divisor of t and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*a = 207, a - 74 = 3*g - 5*g. Solve -15*x**3 - 21*x**2 - g*x + 55*x - 22*x = 0 for x.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13640986 + -27.103.\nAnswer: 13640958.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 6*p + 180. Let v(j) = j**3 - j**2 - j + 52. Let x be v(0). Let g = x + p. Solve 3*z = -3*f - 18, -g = 5*z - f + 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n + 37. Let h be x(4). Which is the closest to 2\/3? (a) h (b) -0.03 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 12*u + 34. Suppose v + 11 = -2*k + 3*k, -3*k + 5*v = -41. Is o(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -24, -46, -64, -78, -88?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 6*k - 4. Let r be p(5). Let i = -111 + 119. Is ((-104)\/i)\/(-2 + r) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -582, -579, -578, -579, -582, -587, -594?\n\"Answer: -g**2 + 6*g - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3950883\/130 - 30391. Calculate the common denominator of p and 163\/234.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 7*r - 4. Let o be g(5). Let d be (-10)\/36 - (-3)\/o. Which is smaller: d or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 11. Let x be t(-13). Let d(f) = f**2 + 2. Let p be d(0). Let z(o) = -4 + p - 2*o**2 + 3 + 3*o**x. Determine z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*6)\/(sqrt(6) + sqrt(12)\/(sqrt(2) - (sqrt(8) + sqrt(2))))*-4.\nAnswer: -48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 2*l + 1. Let b be v(-2). Let r be b + -2 + -1 + -3 + 1. Solve r = -2*i + i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 18 - 26 = 0. Let j = o - 6. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*h - 54*h = 0. Suppose h = -1256*g + 1261*g - 70. Solve 0 = -2*t + 2*v - 0*v + 14, 3*v - g = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(1216)))**2.\nAnswer: -400*sqrt(19) + 30425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/192 - (-2564553)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-195)\/63 - 7?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.81926 - 0.09?\nAnswer: -2.90926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23811100 divided by -192025.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2487418 by -17.\nAnswer: -2487418\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/6 + 4*y**3\/3 - 165*y**2 - 10*y + 7. Determine t so that f(t) = 0.\nAnswer: -15, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 2 + sqrt(275) + sqrt(275) + 3 + sqrt(275) + sqrt(275) - -2*sqrt(275)*-2) + -5.\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216018847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 90504.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/28)\/(9\/6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*l + 166 - 154 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b**2 + 3*b - 2. Let c(m) = -8*m**2 - 2*m + 2. Let n(o) = -o**2. Let v(q) = c(q) - 3*n(q). Give 4*v(z) + 3*w(z).\nAnswer: -2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*l + 1356*l**3 - 1 - 683*l**3 - 676*l**3)*(11*l + 3*l - 6*l).\nAnswer: -24*l**4 + 168*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usuuuuuuuuuuuuuuuuu. Give prob of sequence uuus.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15509.\nAnswer: 13, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = 2*g - 4*g, -5*j + 1 = 2*g. Solve 6*k - k = 3*a + 1, 2*k - 4 = g*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(-28) - (-153976)\/56 - 2?\nAnswer: 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-140))\/((469\/(-112))\/((-1)\/(-6))).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30319, -30331, -30359, -30409, -30487, -30599?\nAnswer: -30751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -2, 60 in ascending order.\nAnswer: -4, -2, 2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 12. Let n(g) = 3*g - 12. Let t(b) = 2*d(b) + 3*n(b). What is the units digit of t(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o\/(o\/(o**(2\/3)\/o)))\/o)\/o*o)**(-15)\/(o*o\/(o\/(o\/(o**1\/o))))**(-6) assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*o + 15953 - 29927 = 0 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0)\/(2\/12). Let r(m) = -2*m + 2. Suppose 4*x - 43 = c, x + c = 10 - 3. Calculate the smallest common multiple of r(k) and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25983 and 34260029?\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2694?\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4787 divided by -3.\nAnswer: -4787\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8605010?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((1 + sqrt(833))*-1 - (sqrt(2057) + -1 + sqrt(2057) + sqrt(17) + 0 + 1)) + 2)**2.\nAnswer: -180*sqrt(17) + 45903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 1\/6 (b) -0.5 (c) 2\/17 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, s: 1, a: 4}. Give prob of picking 1 a and 1 g.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466535 is divided by 950.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 11:55 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -475.53 - -480. Let s = 0.07 - q. Let i = s - -1.4. Which is the closest to 1? (a) -1\/5 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2362192649.\nAnswer: 71, 33270319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 5, -1, -14 in ascending order.\nAnswer: -14, -2, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-5*z + 2*z + 2*z) + 12*z - 62*z + 169*z - 2*z - z + 2*z)*(-3*z**3 + 2*z**3 + 2*z**3).\nAnswer: 116*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/8)\/(171\/152). Let v(h) be the second derivative of -5*h + 1\/18*h**4 + 0 + 1\/3*h**3 + y*h**2. Factor v(w).\nAnswer: 2*(w + 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.27 - -1.15. Let b = s - 2.72. What is the biggest value in -1, b, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7123 + -4383. Let k = -2739.999998723 + t. What is k rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dydydyy. Give prob of picking 3 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2. Suppose -a - 19 = -19. Let i(r) be the third derivative of 0*r + a*r**3 + r**2 - 1\/60*r**5 + 0 + 0*r**4. Determine i(f(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -222 - -518. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 100 = -b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**4 - 8*j**3\/3 + 20. Factor m(i).\nAnswer: 4*i**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82721 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7\/15 (b) -5\/4 (c) -3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32204059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5395086*n**4 - 17222443?\nAnswer: 21580344*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -121, -3, 0.8, 15?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4023034140 - 2?\nAnswer: -4023034142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 112, 190, 282, 388?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:06 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, q: 1, n: 3, k: 3, g: 1, a: 2}. Give prob of sequence qagn.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 1\/93, -96, 7, 0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -16*w**2 + 2815*w + 5645. What is f(-2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**13\/y**15 assuming y is positive.\nAnswer: y**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzdizdgi. What is prob of picking 1 d and 1 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Convert -10000010 (base 2) to base 6.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 1744419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m\/(m*(m*(m\/(m*m**1\/m*m)*m)\/m)\/m))*m)*m**(1\/3) assuming m is positive.\nAnswer: m**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/210*7 - (-3)\/(-5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/((-5400)\/(-430)) - ((-12)\/15)\/4 and -167\/42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -0.9 (c) 2\/7 (d) 42 (e) -0.6 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2d6ea0 (base 15) to base 10\nAnswer: 2200425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*4\/(-48))\/((-36)\/(-54)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45192 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 505288 (base 12) in base 8?\nAnswer: 4617510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 12, b: 2, m: 5}. Give prob of sequence bvm.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 629?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/19? (a) 0.5 (b) 4 (c) -2 (d) -0.426\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 + 91. Suppose 0 = -3*y - 2*f + 358, -v*f + 527 - 47 = 4*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001454401094 rounded to 7 dps?\nAnswer: -0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 2. Let c(l) = 4*l - 2. Let f(o) = 2*c(o) - 3*j(o). Let y be f(2). Is ((-8)\/(32\/(-1340)))\/(1 - y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 781*v**2 + 661*v**2 - 1050*v**2 - 2*v**2 + 0*v**2 + 4*v**2 + 0*v**2 + 0*v**2 + 7*v**2 + (-4*v - 2 + 2)*(-3 + 2*v + 3) as r*v**2 + y + b*v and give r.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30428645, 30428660, 30428675, 30428690, 30428705, 30428720?\n\"Answer: 15*x + 30428630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*n**2*q**4 + 3*n**2 - 144*n*q**2 - 3*n*q + 37665*q**6 + q**2 + 29 wrt q?\nAnswer: -432*n**2*q + 4519800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 4, m: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -255, -811, -1613, -2661?\n\"Answer: -123*y**2 - 187*y + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14940\/90)\/(-83))\/((-38)\/(-12)).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136368.\nAnswer: 2, 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115683 and 645.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.085 * 19\nAnswer: 1.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4896 = -4*o, 4*o = 9*a - 11*a + 2436. Suppose 0 = 1221*j - a*j + 2048. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1619*h - 103617. Give z(64).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 11*h + 20*h**3 + h - 67*h**3.\nAnswer: -47*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -33 + 247. Suppose 0 = -6*s + s - 1155. Let z = p - s. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b*p + b*s + 2*b - 9*p*s**2 + 3*p*s - 243*s**2 wrt p.\nAnswer: -4*b - 9*s**2 + 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -w - 12. What are the prime factors of 12\/((w\/(-4))\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18951481\/8 - 2359459. Let z = -9464 + m. What is the common denominator of z and -11\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**5\/24 + q**4\/2 - 7*q**3\/6 + 8*q**2. Let d(v) be the first derivative of l(v). What is the tens digit of d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r - 1318 = -69*r. Let l = r + -328. Does 23 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9651228*m. Let q(a) = 2*a**2. What is q(v(k))?\nAnswer: 186292403815968*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*35\/8*(-64068)\/48051?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = 3*n - 5*k, 2*k = -4. Let m = -30290\/1827 + 2\/261. Let u = m - -16. Which is the second biggest value? (a) -4 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 3*l - 1. Let c(j) = -6*j**2 - 22*j - 5. Let h(m) = c(m) + 5*o(m). Let n(a) = -a**2 - a - 1. Let w be n(2). What is h(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380377 to the power of 1\/2, to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-6 + 24 + -11 - (-7 - -3 - 8)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (8300 - 0\/(-4)). What is z rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p + 21. Let u = -21 - p. Let i(l) = -3*l + 2. Let k be i(u). Solve -3*t - 12 = 2*s - 5, -k*t + s = 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p**2 - p - 6. Let d(s) be the first derivative of -13*s + 10 + 17\/3*s**3 - s**2. Give -6*d(l) + 13*j(l).\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.289776 - 4.\nAnswer: 15.289776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 + 9*x**2 + 11*x - 4. Calculate i(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-3)\/(5\/(-10)). Let l(q) = t*q**2 - 4*q**2 + 8*q + 7*q**2 + 3. Let v(r) = -5*r**2 - 4*r - 2. Let w(c) = 3*l(c) + 5*v(c). What is w(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*a**3 - 119*a**3 - 151*a**3.\nAnswer: -424*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8364 - 3397. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5471954512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 1, -5, -52, -7, -158 in descending order.\nAnswer: 2, 1, -3, -5, -7, -52, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -17746*s. Let y(u) = 13798*u**2. Calculate y(m(o)).\nAnswer: 4345273279768*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3371 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 11 - 2 + 17. Suppose h = 2*h - 20. Calculate the remainder when h is divided by b(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -10. Suppose p = 5*z + n + 1, z = 4*p + 10. Let y = p - -6. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.755 minus 1117.6?\nAnswer: -1140.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -71*x + 750. Let a be p(10). Suppose 5*r + 152 = 2*m, 9*m = 4*m - 2*r + 322. Suppose 24 = 3*q - m. What is the greatest common divisor of q and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.09 - -0.09. Let j = 43676 + -43671. Sort -0.2, k, j, -11 in descending order.\nAnswer: j, -0.2, k, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**3 - 1. Let y be m(-2). Let p be ((-15)\/9 + 2)*y. Let z = 958 + -956. Solve -b + 4*u = -z, -2*b - 3*b - 3*u = p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11ba76d (base 14) to base 12\nAnswer: -2a29a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - (-5 + 5))*(3 - -19). Let x = p - 103. Let r be (2 - 6)\/(0 + -1). Solve -r*b + 5 = -x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i. Suppose i = -u - 4*u. Let b(g) = -g**3 - g**2 + g + 14. What is the tens digit of b(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -25*g**2 - 40*g + 44. Let o be l(-7). Is o < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33\/61825? (a) -3 (b) -1 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -475384807 less than -10935?\nAnswer: 475373872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p = -355 - 165. Solve 6*r - p - 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + sqrt(133) + -2*1*sqrt(133))\/(6*(sqrt(7) + 2*sqrt(7))) + 3 + sqrt(19) + 2 + sqrt(19) + 2 + (sqrt(19) - (3*sqrt(171))**2 - sqrt(19)).\nAnswer: -1532 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = -14. Let k = 0 + g. Let u = 12 - 11.8. Which is the smallest value? (a) k (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 14*n - 1 - n.\nAnswer: 13*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1975 and 34?\nAnswer: -6.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1169 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012474416 to 4 decimal places.\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 192, 3\/4, 1\/5?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*z - 56, 0 = 4*z + 2*c - 36 - 14. Suppose 3*i + 3*m = z - 2, -3*m = 2*i - 6. What is the remainder when 179 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1230, -2866, -5592, -9408?\n\"Answer: -545*t**2 - t - 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 656 and 3136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 0 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 86*k - 89*k + 5*x - 53, 6*k - 3*x + 81 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1550*s + 17082. Calculate i(-11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**7)\/p**(-2\/3)*p**(5\/3)\/(p\/p**0) assuming p is positive.\nAnswer: p**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -187 and 15500275354.\nAnswer: 15500275167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*i + 1355 = 3019 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) 0 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1777990 - 1422435 = -5*j. Let f be (j\/(-25) - -3) + (-8)\/(-20). What is f rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20) - (-2)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/4))**(1\/21)*((w*w\/w**(-1\/4))\/w)\/(w\/w**(-1\/2)) assuming w is positive.\nAnswer: w**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.59 + 0.89. What is the closest to 1\/2 in 1, 3\/8, 3\/4, c?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 275852303 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6000173 (base 8) in base 12?\nAnswer: 63a363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.273\nAnswer: 0.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*x + 60*x + 19*x to the form b + q*x and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/1773 - -26267\/145386. What is the common denominator of 69\/2 and i?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 - 1 = 0, 2*p - 18 = 4*a. Calculate the lowest common multiple of ((-11)\/(-4))\/(1\/8) and (-40)\/(-6) + (-10)\/p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16235826 + 718756. Let j = r + 2217070. What is j rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195 divided by -112742.\nAnswer: 195\/112742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 52 - 185. Which is smaller: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26040)\/(-25))\/(-124)*(-120)\/(-8)\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -373026 (c) 1\/7 (d) -3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166 + -119. Suppose -6*p = -13 - q. Suppose w - p = 20. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -57?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 7:15 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**5\/10 - l**4\/6 + l**3\/3 - l**2\/2 + 87*l + 14. Let c(a) be the first derivative of h(a). Give c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -51251014*k. Let n(d) = -6*d**2. Determine x(n(b)).\nAnswer: 307506084*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 195*y - 1119. What is m(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3930 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24 + 12\/(2 + -4). What is the highest common divisor of 126 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1442 divide 176429701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3437 + -2983. Solve r*c - 6 = 448*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 825986682.001266 + -825985868. Let h = l + -814. What is h rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176 - 179. Let z be (-151)\/(-9) + (-26)\/(-117). Suppose -5*g + 3 = -z. Put b, 3, -4, g in ascending order.\nAnswer: -4, b, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9981 is divided by 9904.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))\/g)**(14\/3)*g*g*g**6*g**(-5)*((g*(g\/g**(2\/3))\/g*g)\/g**2)**(-35) assuming g is positive.\nAnswer: g**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*n + 15 = 3, 5*q + 4*n = 30. Let 285*x + 108*x**2 - 75*x + 52*x**q + 45 + 85*x**2 = 0. Calculate x.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64.2+-3471656059\nAnswer: -3471655994.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 9*i - 9. Let g be b(-8). Let x(q) be the first derivative of -23 + 0*q**2 - 9\/4*q**4 + 0*q**3 - q. Calculate x(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**2*j**5 + f**2*j**3 - 253*f**2*j**2 - 2*f**2*j + j**3 wrt j?\nAnswer: -60*f**2*j**2 + 6*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 30.8. Which is the biggest value? (a) -3 (b) o (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3525 divided by -705?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n**2 - 30*n + 22. Calculate i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23022*l**3*r**2 + 1575*l**2*r - 2*r**2 wrt l?\nAnswer: -138132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -23858\/169301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110 - 111122110220?\nAnswer: -111122100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -146, -143, -154, -185, -242, -331, -458?\n\"Answer: -l**3 - l**2 + 13*l - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10572 and 699291988.\nAnswer: 3524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/4 of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52122609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*v**4 + 10*v**4 - 50*v**4 - 24*v + 2*v**2 to k*v**3 + l*v + a*v**2 + s*v**4 + x and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.02 (c) 2\/5 (d) -40 (e) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -46, -95, -178, -307, -494, -751?\n\"Answer: -2*q**3 + q**2 - 16*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350341946.\nAnswer: 2, 127, 131, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*v - 17338543 - 6719933 = 64*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 607429 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and -3.1.\nAnswer: -6.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 13*g**2 - 12*g + 10. Let v be q(12). What is the first derivative of -10*n**2 + 6*n**2 - v + 2 wrt n?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -9 - -8 - 4 - (-12 - -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7292*k - 7292*k - 2*k**3 - 3*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17425 and 850.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-228)\/(-9) - (-2)\/3. Let u be (8 - -3)\/(11\/(-33)). Let n = u + r. Is n smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 533475 and -0.07.\nAnswer: -37343.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8438081759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 221\/(-130)*6\/(-17)*8\/30?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 30*i**2 - 57*i - 52. Give k(28).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 10)*(4*x**2 - 4*x**2 + 2*x**2) + 1 - 1 + 6*x**2.\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (69\/(-7) - -9)\/((-10)\/35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 1 - (13 - 20 - -20) - (10 - 5)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.37236067 to 2 decimal places.\nAnswer: 18.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2866030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3 (c) 2\/3 (d) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1.2. Let z = -0.3 + r. Let g = -0.51 - -3.51. Which is the closest to -0.1? (a) g (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1 (b) -114 (c) 0.02 (d) -1\/2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/238 and 17\/777.\nAnswer: 26418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 180, 339, 496, 651, 804?\n\"Answer: -m**2 + 162*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-60)\/2)\/(3\/(-2)). Suppose -z - k = -3*z. Suppose -2*y + q + 29 = 3*y, -z = 2*y + 5*q. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 3*p**2 - 13*p + 5. Give s(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2391666*y**2 + 3778289?\nAnswer: 4783332*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 13 = w + 7, 28 = 3*h - 4*w. Let i(k) = -3*k. Let x be i(1). Let n be ((x\/2)\/3)\/h. Which is the nearest to 1? (a) -2\/19 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 6, o: 4, c: 1, r: 2}. What is prob of picking 1 m and 1 u?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 19*v = -14*v - 7, -i + 6*v = 16. Solve -159 = -i*c + 55*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c = -3*d + 115, -74 = -2*d + 4*c. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7121.4 - 7121. What is the nearest to 1\/2 in 0.009, 4, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -5 + (0 - -7). Suppose -3*r - 4 = -10, -3*r = b + 41. Let c = -26 - b. Calculate the highest common factor of c and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 29, 30, 31, 32?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 176\/2*(-6)\/(-8). Let u = 196 - b. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -11 - 17\/2*w**2 + 0*w + w**3. Let g(d) = -2*d. Calculate t(g(z)).\nAnswer: 12*z**2 + 34*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147309.\nAnswer: 23, 83, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + (-9)\/(-4). Suppose s - 120 = -i*s. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2872039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3469525 is divided by 1156304?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19663.3 rounded to the nearest 100?\nAnswer: 19700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(2*(-11)\/28). Is 1 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82201 + -35012. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12305*z**3 - 9560*z**3 + 21870*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/6)\/(31\/(-34503)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3776*b**3 - b - 7550*b**3 - 4*b**2 + 3785*b**3 as n*b + v*b**2 + r*b**3 + u and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 - 3935*n**3 + 27375*n**2 - 58545*n + 35100.\nAnswer: 5*(n - 780)*(n - 3)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + k - k)*(6 - 1 + 2)*(0*k + 5*k - 3*k).\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1027 = -t - 158. Suppose 0 = -2*p - 5*j + 306, -t = -5*p - 2*j - 83. Does 32 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13123.47 + 0.59?\nAnswer: 13124.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1978 - 7911\/4. What is the closest to v in -16, -0.03, -6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.434663mm to meters.\nAnswer: 0.007434663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2309*i - 23 = n - 2305*i, -n + 7 = -2*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92922*a**6*l**3 + 6*a**6 - 2*a**2*l**2 - 2*a**2 + 3*a - 4735*l**3 wrt a.\nAnswer: -11150640*a**3*l**3 + 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 104, 473, 1104, 1997, 3152?\n\"Answer: 131*m**2 - 24*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*a + 51 = -8, 5 = y - 4*a for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20614 + -42604?\nAnswer: -21660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzg when three letters picked without replacement from {z: 8, g: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12338)\/(-27776) + (-11)\/704 + -1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j + 20. Let s be (j - 3)*-1 - 0. What is the smallest common multiple of 10 + 1\/s + -1 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7315*t + 1195. List the prime factors of p(-6).\nAnswer: 5, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 5:05 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1809.285 + 16.885. What is d rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + -35. Let z = -15 + 53. Calculate the highest common factor of z and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 145 + 388 = -324. Let q(l) = -2*l**2 - 43*l - 26. Determine q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 27. Suppose 4*u + 2*d = -42, 0*d = -2*u + d - 27. Let f be v(u). Solve -f*a = -5*g + 13, -4*a + 2*g = g - 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7975223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -55 (b) -1\/3 (c) -17 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56\/27 - 112\/135. What is the common denominator of d and 23\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28322 divided by -98\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (36 - 14) + 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y - 68*y + 299520. Is y a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140304 divided by -17538\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c + 20*c + 16*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*l**3*m**3 + 2014*l*m**3 - 35366*m**3 wrt l.\nAnswer: 30*l**2*m**3 + 2014*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3274*o + 3418*o - 2304 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -250, -290, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2532 and 11292.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2448) + (sqrt(2448) - -3*sqrt(2448)) + 3 - (-2 + sqrt(2448) + 3) - (2 + (sqrt(2448) + 2 - sqrt(2448))**2 - sqrt(2448)*2*4)).\nAnswer: 1 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15288 and 6279.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-180)\/21)\/(-1)*-7. Let r = d - -5. Let u = 8 - r. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -0.27 in increasing order.\nAnswer: -0.27, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 21*u. Let l(z) be the third derivative of -z**4\/8 - 163*z**2. Determine j(l(w)).\nAnswer: -63*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + f. Let v(u) = 3*u**3 + 2*u**2 + 2*u. Give -6*c(a) + 3*v(a).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1246741296 to the nearest integer?\nAnswer: 35309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 11. Let j(u) = -3*u. Let h(n) = 4*n. Let s(z) = x*j(z) + 2*h(z). Let v(r) be the second derivative of -r**3\/3 - r. What is v(s(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -29404856087.\nAnswer: -29404856086.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 2*k**2 - 5*k**2 + 5*k + 2*k**2. Let v(d) be the third derivative of d**5\/20 - d**4\/6 - 2*d**2 + 163*d. Give -4*h(t) - 5*v(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 14. Which is bigger: o or 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154141.\nAnswer: 13, 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 55.32473cm?\nAnswer: 553247300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -4 in ascending order.\nAnswer: -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152994 and 2368442?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -566945.569?\nAnswer: -566951.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 624212038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609*x - 12 + 12 + 831*x.\nAnswer: 222*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 3*l - 33. Does 6 divide (l - 8)*(-40)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z - 7*z. Solve z = 2*w - 21 + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9067082 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 37298924 divided by 9324731\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -40 + 85 - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = 3*z - 3*x + 142, -8*x - 158 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 4*p + 5. Let a be c(-4). Suppose -a*q + 9 - 39 = 0. Let z(f) = f**2 + 4*f - 8. Give z(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/6*-3*-60. Suppose 4*o - 19 = 2*i + 5, -3*i + k = 5*o. Suppose 0*x + 9 = x. Solve z - 5*b - x = 0, -o = -b + 4*b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 186\/14 - 12\/42. Let a = 0 + y. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 13. Let z be a(-10). Let k = 0 - -32. Solve -2*x - 5*m = 9 - k, m - 8 = z*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34409, -68815, -103221?\n\"Answer: -34406*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 1 = -2206*x + 2207*x, 0 = -6*c + 3*x - 51 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6462*w - 122779. Calculate c(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.595, -2\/5, 11\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -z + 8, 57*a - 62*a = 3*z + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (7 + (2 + -5 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 2*k = 13, 0 = -350*m + 352*m - 3*k + 28 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -420, -431, -446, -465, -488?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-2)\/(-20)*5. Solve 3*u - 3*y - 18 = 0, w = 4*u + u + 2*y - 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 9*h - 12. Suppose -4*u + 2 + h = 0. Factor -u*i**2 + 1 + 1\/2*i - 3\/2*i**3.\nAnswer: -(i + 1)**2*(3*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 344*n - 175*n - 142*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -132020002 (base 4) in base 11?\nAnswer: -84787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1049\/(-312) + 4*(-6)\/(-8) and -71\/16.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29124\/35 - ((-51)\/(-15) + -3). Let u = d - 11699\/14. Calculate the common denominator of 2\/5 + (-786)\/40 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18482 + -18352. Calculate the lowest common multiple of k and 1820.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/13 - 1590*k**2\/13 + 12622*k\/13 - 23610\/13.\nAnswer: 2*(k - 787)*(k - 5)*(k - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 3 = 41*o - 45*o, 0 = -5*b + 4*o - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*y + 875*y = 8262 - 1003 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 27*w**2 + w - 26. Determine o(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3 + 2*c**2 - 6 - 2 + 190*c - 198*c = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*68\/(-357))\/((24\/(-294))\/2)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**2 + 3*l - 2. Let a(r) = 5*r**2 + 2*r - 1. Determine -5*a(h) + 3*w(h).\nAnswer: 5*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + r - 61, -4*v + 2*r = -5*v + 23. Suppose 2*j + 3 = v. What is the units digit of 20\/j + (-436)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58126*m + 57720*m = -12586 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-2))\/(2\/(-3)). Let s(m) = -m - 4. What is the units digit of s(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(49)\/(sqrt(126)\/sqrt(2) - sqrt(7)) - (-4 + sqrt(7) + sqrt(7) + (sqrt(21)\/sqrt(3) + sqrt(7) - sqrt(7)) + sqrt(7) + 3)))**2 + -5.\nAnswer: -35*sqrt(7) + 423\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/((-1)\/(-8)). Let q = 11 + -8. Suppose -q*j = -n*j + 7. Solve 2*s = j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/396)\/(1\/(-78)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 1. Calculate y(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 45614226?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 - ((-3 - -5) + 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 487*k = -485*k + 3316, 2*q - 5*k - 2240 = 0. Calculate the least common multiple of q and 1760.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 1958?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1293 divide 686652822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 6*z + 4*z)*(2*z + z**2 - 2*z)*(-1 - 85*z + 0 + 87*z) to j*z + v*z**4 + t*z**2 + n*z**3 + b and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-27)\/z))\/(z\/z**2)*z*z**(-4\/3)*z*z\/(z*z**(-18)) assuming z is positive.\nAnswer: z**(146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -362 or -379?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 156*l**3 - 55*l**3 - 47*l**3 - 51*l**3 - 757.\nAnswer: 3*l**3 - 2*l - 757","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/3, 2\/5, 0.5, 3, -527?\nAnswer: -527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3820*q + 7748. Calculate k(-2).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 4*x**2 - 5*x - 4. Let v be r(-3). Calculate the common denominator of 67\/16 and (v\/8)\/((-1)\/(-9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180393 divided by -4.\nAnswer: -180393\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/2627 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -17*u. Let h(t) = -t. Let x be h(-9). Suppose -x = -5*i + 16. Let y(c) = 11*c. Let b(g) = i*j(g) + 8*y(g). Let f(s) = -2*s. Give b(f(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06183223 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 33*b - 191. Let g(q) = 4*q**2 - 32*q - 189. Let l(n) = -4*g(n) + 3*p(n). Let v be l(29). Round v to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**9\/i*i)**(-31)*(i\/i**(-34))\/i*i**(-24) assuming i is positive.\nAnswer: i**(-331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(9072\/(-537)))\/((-314)\/(-402)). Let a = k + 4\/1099. Calculate the common denominator of 4\/9 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2498421380.\nAnswer: 2, 5, 7, 13, 1372759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 1 + 1\/3*m**3 + 2*m + 3*m**2. Suppose 3*f + 14 = -5*a, 1 = -5*a + 4*f - 27. Calculate c(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**2. Let n(w) = -397*w**2. Calculate n(f(k)).\nAnswer: -14292*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 23, 6, -31, -94?\n\"Answer: -j**3 - j**2 + 7*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 10:38 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-1 + -9)*0\/(-2). List the prime factors of (-2 - i)\/(22\/(-20) + 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v*v**(-2)*v*(v**1)**(-18))**12)**(-2\/81) assuming v is positive.\nAnswer: v**(136\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 72 = k. Let x = 188 - 184. Calculate the smallest common multiple of k and x\/(-4) + 31\/1.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -32. Let b = 2 - 2. Suppose 4*u = -0*f + f + 280, 2*u + 5*f - 140 = b. What is the highest common divisor of m and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, y: 5, r: 2}. What is prob of picking 1 y and 1 u?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkbk when four letters picked without replacement from {k: 2, b: 4, u: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 6139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211622 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5 + 4982*s**4 + 660578*s**3 + 11755642*s**2 - 660376200*s + 647955000 = 0.\nAnswer: -75, 1, 22, 2618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30\/7*s**4 + 30\/7*s**2 + 18\/7*s**5 - 10\/7*s**3 - 8\/7 + 0*s.\nAnswer: 2*(s - 1)**3*(3*s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33695 and -20.\nAnswer: 673900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13405 + -6250. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93395 - 92708.03. Let h = p - 692. Let m = 5 + h. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.054, -1\/2, 2\/7, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 317707 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(68\/(-10) + 6). Suppose g = -4 + 6. Find the third derivative of -5*u + 21*u**4 + 13*u**g + h*u - 24*u**2 wrt u.\nAnswer: 504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18480)\/(-297) - ((-2)\/(-9) + 0). Suppose -168 = m*l - 69*l. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 59*i**2 - 346*i + 4. Does 80 divide y(46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142441883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28654 is divided by 1519.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 14 + 3*b**3 - 26 + 53*b.\nAnswer: 3*b**3 + 53*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/6 - y**3 - y**2\/2 - 16*y. Suppose -3*v - i - 14 = 0, -v + 8*i = 3*i - 6. Is f(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/40 and (-7685)\/(-7800) + 60\/(-72)?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2873798 to three decimal places.\nAnswer: 0.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2*6\/6)\/(20\/(-400))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 2:45 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 5*m - 10*m. Find the common denominator of 107\/12 and 26*(-1)\/m*(-6)\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 1403011?\nAnswer: -1403012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 10. Suppose 4*c = -n*k + 2*k + 24, -3*c = 5*k - 25. Suppose 4*s = -c*q + 23, 0*s - 10 = -2*s - 4*q. What is the highest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (78 - 1) + (-16 - -24). Let u = 103 - h. Solve 4*x = -12, a - 4*a - 2*x - u = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 22059394.\nAnswer: -22059390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 - -76. Solve 0*a = f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42477*l - 109902 wrt l.\nAnswer: -42477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/127 - 362\/5969. Which is the smallest value? (a) -13 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5928 in -3\/4, 1\/4, 6\/17?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -996193*n**3 - 996285*n**3 + 1992536*n**3.\nAnswer: 58*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*m**3 - 66*m**2 + 18542 wrt m.\nAnswer: 93*m**2 - 132*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggmbgggagaobbgdo. What is prob of sequence ada?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 19*b**2 + 19*b - 16. Let l be c(18). What are the prime factors of ((-2)\/((-8)\/286))\/(l\/4)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*q. Let x = 62.3 - 70.3. Which is the fourth smallest value? (a) 0.4 (b) q (c) 3\/7 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80647.74l to millilitres.\nAnswer: 80647740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 32. Which is the biggest value? (a) -4 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((-1*sqrt(15) - sqrt(15))\/sqrt(5)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 at least as big as 404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - -229?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(7889\/98 + -80)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -27*r**5\/4 - 15*r**4\/4 - 5*r**3\/6 + 49*r**2. What is b in y(b) = 0?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 3*x**4\/8 + 17*x**3\/6 - 10*x**2. Let m be w(5). Let y = m + 2. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + -3 + (4*2*(2 + sqrt(1573)*2 + sqrt(1573)))**2)*-5.\nAnswer: -4531532 - 42240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 8. Let i = -2.5 - n. Let f = -4 - 0. Which is the biggest value? (a) i (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10733, 42779, 96167, 170897, 266969?\nAnswer: 384383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.22 - -6.13. Let q = 0.09 + n. What is the closest to -0.2 in 1, q, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2 (c) -0.2 (d) 0.99 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -22414*a**2 - a. Let g(j) = j**2. Give i(g(r)).\nAnswer: -22414*r**4 - r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = -183 + 239 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-17 - (1 - 18))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -13*o**9\/60480 - o**8\/10080 - o**7\/5040 + o**5\/20 + 3*o**2. Let l(j) be the third derivative of d(j). Give l(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m + 18. Let l be o(4). Factor -2*y + 9*y**3 + 3*y - 43*y**3 + 3*y - 30*y**l.\nAnswer: -2*y*(y + 1)*(17*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**41\/(a*a**2*a*a\/(a**(5\/3)\/a)*a*a*a*a)*((a\/(a**(-1\/3)*a))**(9\/4))**13 assuming a is positive.\nAnswer: a**(-229\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o = -6. Suppose 5*f = 2*b + o, 6*b = 3*b + 3*f. Sort b, -1, -4.\nAnswer: -4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(2 - 1)*1*(-16026)\/6 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:10 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 27 (b) -1\/12 (c) 187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/233, 2, -0.3, -0.5, -3 in decreasing order.\nAnswer: 2, -2\/233, -0.3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:55 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12712.5018ms?\nAnswer: 0.0001471354375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*j - 19 + 19)*(0*j - j + 2*j - 2) + 3*j**2 - j**2 - j**2 + 6*j**2 - 2*j**2 + 4*j**2 in the form p + g*j**2 + d*j and give d.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 c, and 2 b when four letters picked without replacement from cxpbpbccxxx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 33240550.7073?\nAnswer: -33240550.6073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 732918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5\/6 (b) 0.4 (c) 0.91 (d) -0.4 (e) 2\/3 (f) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808631467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -3. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 210.2 + -210.5. Let o(y) = y + 4. Let p be o(-3). What is the closest to -1\/2 in 0.1, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*sqrt(637)*2*-1)**2.\nAnswer: 825552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*f**2*x**2 + 1026*f**2 + f*x + 510*x**2 - 2 wrt x?\nAnswer: -14*f**2*x + f + 1020*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 598.49 - 590. Let y = q - -2.81. What is y rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**4\/4 - 5*s**3 - 37*s**2\/2 - s + 4717. What is l(17)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -4*y - 4800. What is y rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 18*p**3 - p**2 + 13*p + 11. Determine o(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2032, 2031, 2030?\nAnswer: 2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-9)*-3)\/((-2)\/42)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 6*v**2 + 1. Let g be 9\/90 + 38\/20. Suppose 2*j - 3*s = 21, -11 = -2*j + g*s + 5. Suppose j*w + 5*t = 1 - 39, w - 4*t - 10 = 0. Calculate m(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/231)\/(4\/(-6)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.8 - -61. Which is bigger: 2\/7 or g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1664 + -1664.04. Let w = -0.4 + 0.2. What is the biggest value in i, -6\/5, w, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 63 - 25 - 33 + 5*g. Let p(c) = -1. Let b(v) = v. Let n(x) = -2*b(x) + 3*p(x). Determine 5*n(s) + 3*y(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-24))\/(((416300\/(-1680))\/181)\/((-10)\/16))?\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3442 - -1883. Let r = -1559.000000803 - s. What is r rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6838457362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 5:31 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16e0 + a1?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.8 - -9.8. Which is the closest to -1? (a) 3 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-12)\/(m**(-1)\/m*m*m*m)**(-25)*((m\/(m*m**0\/m)*m)\/m*m\/(m*m**(3\/5)*m))\/(((m\/(m*m**(-1\/6)*m*m))\/m)\/m**4) assuming m is positive.\nAnswer: m**(937\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*118298.\nAnswer: -473192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/257 - -500\/1799. Let k = 79 + -89. Let y = k - 1. Is v not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*z = -22, -3*z = -5*a + 37 + 10. What is the remainder when a is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -50*w + 616. What is the hundreds digit of v(-31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 18 = 114. Let b = -50 - u. Let q = b - 46. Calculate the highest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 3. Let p(z) = -z - 1. Let d(s) = a(s) - 4*p(s). Let w be (3 + 9)*(-1)\/(-2). Let u be d(w). Solve 9*l + u = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 2*i = 0. Which is bigger: -5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1239563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/9*-4*(-342)\/1140.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 788, 787, 786, 785, 784?\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + 12*m**3 + 6*m**3 + (-m**3 + 0*m**3 + 2*m**3)*(1 - 2 + 2).\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 356020 = -3*b. Let k(r) = 3*r - 2. Let a be k(2). Let u be b\/(-8) + (-2)\/a. Round u to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-456)\/40 + -15)*180\/54?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4299515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23282 is divided by 775?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/367314 and -73\/29116.\nAnswer: 184391628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 983113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 5 = -i. Suppose -y + i = 5*n, 4*n + 5*y - 2 = 25. Suppose 53 = 4*v + n*p, 4*v + p = -0*p + 55. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 217293*r**2*u**3 - r**2*u**2 + 2015*r**2 - 9*r*u**6 - 40*u**2 + 22 wrt u.\nAnswer: 1303758*r**2 - 1080*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2505513 (base 6) to base 10.\nAnswer: 133461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5847)\/321585)\/((-6)\/(-88)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35635 divided by 1.\nAnswer: -35635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2 - 12*n**2 - 12*n**2 + 31*n**2. Let s(d) = -d**2. Let q be 1\/(-3) - (-4)\/3. What is q*x(z) + 4*s(z)?\nAnswer: 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 398 + -258. Suppose -4*v = -11*v + y. What is the remainder when 338 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -136, -210, -288, -370, -456?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114604797 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145.754 + -0.654. Let c = n - 139. Round c to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 + 2 + 43*v - 45*v - 4 to the form d*v + g*v**2 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a week?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4827, -4826, -4825?\nAnswer: -4824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 6 + 36 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21484 is divided by 118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-95) + 5292\/513?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 910 divide 1013059320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 265. Is o(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216690.1 milliseconds in seconds?\nAnswer: 216.6901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6311590 divided by 6.\nAnswer: -3155795\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17063747 + -27163747. Round y to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 423249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533 (base 10) to base 12.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r*r**(-4))\/(r**(-5)\/r*r*r\/r**(-3)) assuming r is positive.\nAnswer: r**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 339 or 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1911258 millennia?\nAnswer: 2293.5096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13949 and 9657.\nAnswer: 125541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42164, 42166, 42168, 42170, 42172?\nAnswer: 42174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -4 (c) 3 (d) 5 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1950770259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 58554.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 445109\/5310 + -5004\/59. Find the common denominator of 69\/22 and v.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2531674 or 2531676?\nAnswer: 2531676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/4 + 0)*-1 + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 644, 1077, 1508?\nAnswer: 1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.033 (c) -64 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -448150.2 and -10.\nAnswer: 4481502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 684143343?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssu when three letters picked without replacement from {s: 5, u: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -971, 14, 5, -3, 1.\nAnswer: -971, -3, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + 1 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 331 + -332.7. Let v = u - -1.70536. What is v rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 x when four letters picked without replacement from hhhhxuxvxhvvxxxhuvu?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (66\/4)\/((-6)\/(-8)). Suppose -x*k + 23*k = 0. Let g(t) = -t**3 + t**2 + t - 5. Calculate g(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 - -131. Suppose 6*v - 4*v = -6. Let c be 2\/3 + (-28)\/v. Solve -3*n + 4*l - 6 = l, 2*n + c = -x*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 + 16*k**2 + 18*k + 135. Let o be v(-8). Sort 3, o, -7, -5.\nAnswer: o, -7, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 11.05. Let i = 0.66 + -0.96. What is the second biggest value in -4, s, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-304))\/(6\/11 + 130912\/(-239360))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51522.\nAnswer: 2, 3, 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**43*p\/(p*p\/(p*p\/p**35)*p*p*p)*p)\/(p**(2\/123)\/p*p**(-8)\/p))**34 assuming p is positive.\nAnswer: p**(71026\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*h + 639, 3*s - h - 319 = 70. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y - y + 6*y. Let n(d) = -5*d + 7*d - 3*d. Calculate z(n(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*((-246)\/30 - -9). Solve -5*q = -w*q - 3*x + 8, -x + 24 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1373221418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 171*j - 182*j + 33. Suppose 4*u = 6*k - 4*k - 14, 0 = -j*k + 2*u + 41. Solve 4*r + 3*d = 6*d - k, -r - 1 = -4*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144700)\/20258*(-63)\/(-6).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - ((-3 + 2*sqrt(288) + sqrt(288))**2 + sqrt(288))) + (sqrt(288) - (-4*(sqrt(288) + -1) + sqrt(288) - sqrt(288))) + -5.\nAnswer: -2610 + 276*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/13))\/(m*(m*(m\/(m*m*m*m\/(m**8\/m*m)*m*m)*m)\/m*m)\/m) assuming m is positive.\nAnswer: m**(-54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*b + 6*b + 120. Suppose o = b*o - 88. Let n(q) = 17*q - 2. Let l(m) = -2 + 11*m - 4*m + 1 + 4*m. What is o*l(f) - 5*n(f)?\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1243 = -17*w + 1311. Solve 2*c = 3*m - 4*m - 6, -w*c - m - 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -42622, 0.9, 1\/6, -2, -2\/13 in ascending order.\nAnswer: -42622, -2, -2\/13, 1\/6, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 557*o + 247908.\nAnswer: -(o - 292)*(o + 849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehnkckre. What is prob of picking 1 r, 1 c, and 1 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2\/2 + 186586404*h - 5802414359608536 = 0. What is h?\nAnswer: 62195468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.02165 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - 1.4. What is the second biggest value in 4, y, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-143)\/1*((-10 - -6) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -62. Solve -4*i + 10 = -z, x*i - 2 = -i - 2*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 3*p - 7*p - 14, 4*c = -4*p - 32 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1291 - -2787. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309804948.\nAnswer: 2, 1013, 323249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -v - 45. Let b(h) = -9*h**2 - 13*h + 1. Let t(c) = 13*c**2 + 19*c - 1. Give v*t(i) - 7*b(i).\nAnswer: -2*i**2 - 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i. Let o be l(3). Suppose -c - 3*c = -40. Suppose -8*h = -c*h. Solve h = -p + o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46212025 (base 7) in base 15?\nAnswer: 54b141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wooowowwyyyyyoywwol. Give prob of sequence ly.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9398592 months to centuries.\nAnswer: 0.000783216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltitllilttllittit. What is prob of sequence tt?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 583359.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9)**(-16\/5)*(t\/t**3)\/(t\/t**(-25)) assuming t is positive.\nAnswer: t**(-284\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -0.38, 2, -4, 0.3 in increasing order.\nAnswer: -18, -4, -0.38, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1056398 and 8400.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - -3 - (7 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 461 = 359. Let n = 454 - o. List the prime factors of n.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 8 = -4*l - 2*d, 3*d = 5*l - 12. Suppose 2*x - 14 + 4 = l. Solve -j = 2*m - x*j - 20, -m + 5*j = -19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/(-70))\/(9 - (-185487)\/(-20587)) and 119\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13369820?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 12:53 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, p: 2}. What is prob of picking 2 n?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2814 + -1852. List the prime factors of g.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1520\/(-40) - -6) + 0 + 13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0136 times 6\nAnswer: -0.0816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -11, -31, -63?\n\"Answer: -6*l**2 + 10*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -1, -0.3, -1567, 0.073 in ascending order.\nAnswer: -1567, -2, -1, -0.3, 0.073, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = -389*b + 358*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 26*w**5\/5 - 5*w**4\/6 + 11*w**3\/2 + 102*w**2 - 2*w. Is o(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5119.\nAnswer: 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -5 - (9 + 129 + -77)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80246, -160530, -240814?\nAnswer: -321098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 800 and 8328640.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (528\/36)\/(138\/(-207)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2448*x - 48894. Calculate u(-20).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 n, and 1 z when three letters picked without replacement from zrgnljjr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 + 0.032\nAnswer: -0.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1443 - -1443.1. Which is the closest to 2\/5? (a) -0.2 (b) -4\/11 (c) f (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l, -2*m = 4*l - l - 53. Suppose 20*c - m = 6*c. What is the first derivative of u**2 + 411 - u**c - 38*u**3 - 409 wrt u?\nAnswer: -114*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:03 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-1 - 4*-1). Let h be (-4)\/m*693\/(-14). Let n = h - -1. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/(-132)*4\/234*-219 and 99\/182.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9*y*y*(y**(-2)*y)\/y)\/((y\/((y*y\/((y*y*y**(-9)\/y)\/y)*y)\/y)*y)\/(y*(y*y*y\/(y*y*y*y**(-4)*y))\/y*y)) assuming y is positive.\nAnswer: y**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 + 11*h + 11. Let k(a) = -a**2 - 2*a - 2. Let q(u) = 11*k(u) + 2*x(u). Let o(c) = 18*c**2. Calculate q(o(g)).\nAnswer: 324*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58733320 + -35506963. Let l = 23226370.000017 - f. Let i = l - 13. Round i to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojc when three letters picked without replacement from jjcojojbbjco?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j*(j*j**(-2\/9))\/j)\/j)*j**(-2\/25) assuming j is positive.\nAnswer: j**(257\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(14\/11)*y)**1)**(9\/5))**(-8\/19) assuming y is positive.\nAnswer: y**(-360\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -177, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 < 128\/1165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 31, 2, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/6, 0.3, 4, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*c - 530 = 0, 0 = -p + 7*c - 2*c + 145. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.145 * -1\nAnswer: 14.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*3\/(-18)*-51. Suppose 51 = 4*h - w, 4*h = 2*w + g + 29. What is the remainder when 39 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1.6. Let m be (-63)\/(-45) - 92\/(-20). Let u be 28\/60*m\/(-21). What is the nearest to -0.1 in d, u, -7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 9. Let n(h) = 2*h + 1. Let r be n(-4). Let z be g(r). Let y(u) = 2*u**2 - 2*u - 1. What is the units digit of y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 250.5548km?\nAnswer: 25055480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 = -54*f + 27*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((-14)\/(-63))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3184*z - 3184*z + 22*z**4 - 638*z**2 + 86*z**4 wrt z?\nAnswer: 2592*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86871046 or -86871047?\nAnswer: -86871046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -6. Is -21 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 + 4236*m**2 + 34*m**3 - 4236*m**2.\nAnswer: 34*m**3 + 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5) - (-34)\/10. Let o(w) = 3*w - 5. What are the prime factors of o(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b + 4*x - 636 = 19*b, -b = 2*x - 102. What is the highest common divisor of 126 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 + 157. Calculate the lowest common multiple of 243 and x.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 24. Let d = -3.2 + 3. Which is the closest to 1\/3? (a) 5 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 11*n**2 + 19*n + 1. Let u be m(8). Let a = u - -66. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 686254, 686855, 687858, 689263, 691070?\nAnswer: 693279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114305075 by 25.\nAnswer: 4572203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -254817415*o**3 + 3148*o**2 + 13466*o wrt o.\nAnswer: -1528904490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**3\/6 - 29*j**2 + 4879*j. Let m(a) = 16*a**2 + 2*a. Calculate y(m(c)).\nAnswer: 16*c**2 + 2*c - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 36771*h**3 - 9*h**2 + 15*h - 13. Is f(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 0.5. Let l = j - -0.1. Suppose 5*r + 28 = 3. Put r, l, 0.5 in increasing order.\nAnswer: r, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -2.3 (c) -5\/17 (d) 0.3 (e) -2\/537\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = 4*x - 20, 3*x = 4*w - 27. Let h be w\/45 - 2\/(-60). Suppose -2*k = 3*k - 5. Which is the closest to k? (a) 2 (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by -215?\nAnswer: 79\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 18. Suppose 141*g - 138*g - 15 = 0. What is the remainder when c is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to 1983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/120 + 5*s**4\/24 - 2*s**3 + 8*s**2 + 77*s. Let k(p) be the second derivative of b(p). Determine k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 2*v**5\/3 - 2*v**4 + 8*v**3\/9 - 49. What is n in r(n) = 0?\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 + m**3 - 8*m - 9*m + m - m**3 - 21*m**2 as r*m**3 + j + b*m + q*m**2 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 65\/26*(-3)\/(45\/(-4))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3379 + 299. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-1)\/(-2))*2. Suppose 3*s = -s + i + 9, -g*i - 22 = -2*s. Let t be (2 - (-1 + 2)) + s. Solve -5*p + 3 + t = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, w: 7, c: 1, l: 1, q: 1}. Give prob of picking 1 p, 1 l, and 1 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/16 of a millennium in months?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1620 and (-520)\/(-10080) - (-2)\/6*-2.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235417 - -27.\nAnswer: -235390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5499335 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*t**2 + b**2*t - 388*b**2 + 203*b*t**2 - 242*b wrt b.\nAnswer: 6*t**2 + 2*t - 776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22098 divided by -2\nAnswer: 11049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-3) - 2 - -2 - 7. Let h = -1388 - -1384. Put x, h, 4 in decreasing order.\nAnswer: 4, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 4*q - 5*q)*((-2 - 3 + 4)*(3 - 6 + 2) + 3 + 0 - 1)*(4*q - 15*q + 19*q) to n*q + h + m*q**2 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 8:40 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5377285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 6*r + 10 - r**3 + 6*r**2 - 14. Suppose -c - c + 40 = 5*b, -5*b + 20 = -2*c. Let u be q(b). Calculate the greatest common factor of u and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 3*o - 5, 5*o - 12 - 3 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12864 - 12867 + 90*q + 23*q to the form w + b*q and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8821*p - 6558?\nAnswer: -8821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 19*h**2 - 21*h + 21. What is u(18)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 2408.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(2\/45)\/k)*(k*k**(2\/5)\/k*k)\/k)\/(k**7\/k**(-11\/4)) assuming k is positive.\nAnswer: k**(-1331\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -5, 2, 8741, -9.\nAnswer: -9, -5, -1, 2, 7, 8741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16*j - 65. What is the tens digit of t(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -25*u**6\/24 + 583*u**5\/2 - 56453*u**4\/2 + 958308*u**3 + 1177254*u**2 + 474552*u + 3910. Factor q(b).\nAnswer: -(b - 78)**3*(5*b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -575572*s**3 + 625549.\nAnswer: -1726716*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 5*o**2 + o + 26. Let g be n(-5). Suppose -g*y = -0*y - 420. Solve -5*p + y = -0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/502 - 269\/3012. Let d = -6.1 + 6.6. Sort j, -17, 3, d in increasing order.\nAnswer: -17, j, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3325311g to micrograms.\nAnswer: 332531.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 36.92. Let t = 9.38 - a. Round t to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 66?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/12 + d. Let r(k) be the second derivative of -271*k - 25\/6*k**3 - k**2 + 0. What is x(r(f))?\nAnswer: -625*f**2 - 100*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**3 + 3*v - 12. Give z(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 677*v - 8729. Give a(16).\nAnswer: 2103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 >= 212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b + 2. Let q(g) be the third derivative of -g**4\/12 - g**3\/3 - 2*g**2 - 25*g + 20. Calculate q(k(t)).\nAnswer: -26*t - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1 - 3) + 0 + -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -598712 (b) -7 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3214 - -748861\/233. Let o = x - 463\/699. Let b be (-669)\/(-45) + (-2)\/(-6). What is the third biggest value in 1, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 8*m**3 + 4*m**3.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1261 - -2003. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(78) - (sqrt(78)*-1 + sqrt(78))))\/(2*sqrt(98) + sqrt(98) - sqrt(2)))\/((sqrt(300) + -2*sqrt(300)*4)*2).\nAnswer: -3*sqrt(13)\/1400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 + (0 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/2 + 0 + 3. What is the highest common factor of r and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 2*m**2 + 0*m**2)*(0 + 3 - 1)*(46*m - 46*m + 3*m**2).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4858*q**2 - 9691*q**2 + 4839*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 435381*i**3\/2 + 3918431*i**2 + 35265933*i\/2 + 162 = 0?\nAnswer: -9, -4\/435381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - 5*i**3 + 2*i**3 + (4*i**2 + i**2 + 0*i**2)*(-313 + 292 + 673)*(i - 3*i - 2*i) to g*i**2 + f + s*i**3 + h*i and give s.\nAnswer: -13042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -568 + 2*z**2 + 110*z**3 + 565 - 105*z**3 + 101*z + (2*z**2 - 3*z**2 + 0*z**2)*(4 - z - 4) + 2*z**3 - z**3 + z**3.\nAnswer: 8*z**3 + 2*z**2 + 101*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*f + 1732 = -1594 - 898 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l. Let t(q) = -q - 8. Give t(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43261847*o**3 + 6055135*o**2?\nAnswer: -259571082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -82 in -4\/41, 2, 0.246?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**3\/6 + 5*q**2 + 3*q - 47. What is j(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1961.2 - 1647. Let f = t + -314. What is the closest to -7 in -2\/15, 0, f?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + m**2 - m - 1. Let w(d) = 8*d**3 + 7*d**2 - 4*d - 4. Calculate -4*p(c) + w(c).\nAnswer: 4*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7043 + 7040. Let c = 25\/2 + -12. What is the closest to -2\/5 in -2\/13, c, n?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-24))\/(2\/24). Let z be (m\/(-6) + -1)*10. Suppose 0 = -4*a - 3*x + 59, -3*x - 2*x + 75 = z*a. What is the highest common factor of a and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11 + 77*h + 40 - 87*h. Does 21 divide x(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 6*h - 6*h - 19*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/16)*r*r**(-15))**2\/((r**(-1\/3)*r)**(-9\/4)\/((r**(1\/2)*r)\/(r\/r**1))) assuming r is positive.\nAnswer: r**(-201\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504261 = 1496*j + 2413*j for j.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + n + 2. Suppose -b = -3*b. Let j be w(b). Solve 0*l = j*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -14*v + 303. List the prime factors of m(-47).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 10*w = 4*n - 2*n, 0 = 5*w + n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203275, 406793, 610295, 813775, 1017227, 1220645?\nAnswer: 1424023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 4:07 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(21)\/sqrt(7)))\/(-2*sqrt(800)).\nAnswer: -sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424 is divided by 543.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*h - 103*h - 44*h.\nAnswer: -314*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 195, -54259, -1\/4 in decreasing order.\nAnswer: 195, -1\/4, -54259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1770, -5162, -16690, -32796, -53462, -78670, -108402, -142640?\nAnswer: -181366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0479282 and -679.\nAnswer: -679.0479282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-42))\/(-2)*(-18)\/(-12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36359 rounded to three decimal places?\nAnswer: -0.364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - 2*b**2 + 137*b - 432*b.\nAnswer: -5*b**2 - 295*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:18 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**10*c*c*c\/c**(-4\/5))**14*((c**(-2)\/c)\/((c\/(c*c\/c**(1\/9)*c))\/c))\/(c**4*c\/(c*c**(1\/4)*c)) assuming c is positive.\nAnswer: c**(34261\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 9, -j + 0*j - 2*p = 18. Let r = j - -42. Solve t = -5*w + r, -w - 4 = -2*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/7)*z*z)\/z)**(2\/89)\/((z\/(z\/z**(-6)))\/z**(-2\/13)))**(-3\/16) assuming z is positive.\nAnswer: z**(-71373\/64792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2192*n - 205945. What is x(-94)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*0.084.\nAnswer: 1.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20331298?\nAnswer: 2, 13, 781973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4 + 46*l**3 + 31*l**2 - 1456*l + 1380 = 0. What is l?\nAnswer: -6, 1, 5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**5\/6 - 31*l**2 - 30. Let h(n) be the second derivative of v(n). Let s(z) = -4*z**2. What is s(h(t))?\nAnswer: -400*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121103 = 71*i - 253351. List the prime factors of i.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 5*y**2 - 19*y**2 - 13*y**2 + 3*y**2.\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)*k)**(2\/67))**16 assuming k is positive.\nAnswer: k**(-64\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*t**4 + 60*t**3 + 2*t + 9374 wrt t.\nAnswer: 108*t**2 + 360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 0.1 (c) 66 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112 + 66. What are the prime factors of c?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 (base 12) in base 3?\nAnswer: 1002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5\/7 - 8*w**4\/7 - 18*w**3\/7 + 32*w**2\/7 + 40*w\/7 = 0. Calculate w.\nAnswer: -2, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opvpovooo. Give prob of sequence op.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**3\/3 + 7*v**2\/2 + v - 1. Suppose 187*j - 190*j - 6 = 0, 5*j - 11 = 3*n. Calculate d(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -3*o**4 + 2*o**3 - o**2\/2 + 9*o. Factor w(b).\nAnswer: -(6*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (6 + 6 + -19 - 0)*-16 and 266.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 + 14890*w**3 - 36961938*w**2 + 30616765614*w - 61085802564.\nAnswer: -2*(w - 2481)**3*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-4))\/(2\/(-4)) - 2. Which is smaller: t or -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (328 + 40 - 38)*(f**5 + 2*f - 2*f).\nAnswer: 330*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 1?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {x: 2, j: 2, w: 4, g: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/715 and -99\/162490.\nAnswer: 23236070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-214)\/4)\/(6\/(-12)). Suppose m = 5*i + 37. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -271*w - 3516. Let n be z(-13). Solve 3*m + 3 = 0, -10*p - 5*m - 11 = -n*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6753*o + 2514. What are the prime factors of a(-4)?\nAnswer: 2, 3, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, 1\/10, -0.13, -94?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 10*h - 4. Let g be c(-11). Let u(a) = a**3 - 10 + 8*a**2 - 4*a**2 - g*a**2 + 10*a - 7*a**2. Let b be u(9). Sort 3, -2, b in increasing order.\nAnswer: -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -371\/5 + 74. Let p = -138 + 138. Suppose -v - 2 + p = 0. Which is the smallest value? (a) 4 (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19995, 159920, 539699, 1279254, 2498507, 4317380?\n\"Answer: 19987*m**3 + 5*m**2 + m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g**5 - 4330*g**4 - 27670*g**3 - 19880*g**2 + 69465*g - 17550 = 0 for g.\nAnswer: -117, -5, -3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.003 in 4, -6\/83, 2\/11, -0.2, 6?\nAnswer: -6\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**4 + 4352*u**3 - 94228*u**2 + 448296*u - 614016 = 0.\nAnswer: 3, 16, 1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 10*s - 3*s - 28 = l, -3*l - 12*s = -8*s + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(11\/(44\/8) + -1). Let v be (-30)\/(-36)*6*1. Which is the second biggest value? (a) v (b) y (c) -2 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -26, 2\/5, -0.3 in decreasing order.\nAnswer: 2, 2\/5, -0.3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) + sqrt(77)*-1)*1)\/(2*sqrt(112)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -105 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-18))\/y)\/(y*y**(-5\/3)\/y))\/(y\/(y\/(y\/(y*y**(-8)*y*y))*y)*y)**(-4))**(-2\/91) assuming y is positive.\nAnswer: y**(-262\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 491 - 1900 = 1939. Calculate the remainder when i is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21555 and 3159?\nAnswer: 7565805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 0) + 38 + -63 + 59?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 130\/8)*(-14720)\/(-2208). Solve 2*i + 107 = g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 4*w**2 - 4*w + 7. Let v be j(-5). Let s(r) = -r**2 + 9*r - 4. Let a be s(9). Let l be a*1\/(4\/3). Put -2, l, v in increasing order.\nAnswer: l, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(405) + sqrt(405) + 2 + sqrt(405)*4 + 4*sqrt(405) + 3 + sqrt(405) + -3)*4)**2.\nAnswer: 158400*sqrt(5) + 19603600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/33 and -79\/654.\nAnswer: 7194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u + 2. Suppose 5*v + u*n + 40 = 0, 4*v + 39 = -n - 2*n. Is 3*(-604)\/v + -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 1750*t - 1750*t. Let q(j) = 25*j**2. Calculate u(q(h)).\nAnswer: 625*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k = 0. Suppose k = -3*l + 4*l - 338. Suppose 2*j = -5*u + 4*u + 334, u + l = 2*j. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**2. Let d(j) = -654*j**2. What is l(d(m))?\nAnswer: -2138580*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 582, -9 in ascending order.\nAnswer: -9, 3, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - (sqrt(209) - (4*(sqrt(209)*-3 + sqrt(209)) + sqrt(209)))) + sqrt(209) - sqrt(209))\/(2*sqrt(44)))**2.\nAnswer: 931\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - i. What is the tens digit of j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from aaaaaakaaaaaaaaaaaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**3 - 5370177*i**2 - 2403225362325*i + 7209724418649 = 0.\nAnswer: -895031, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 6:18 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**4 - 91*u**3 + u**2 - 90 wrt u?\nAnswer: 24*u - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4 + 362*c**3 - 32397*c**2 - 65884*c - 33124 = 0.\nAnswer: -1, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23, -72, -133, -206, -291, -388, -497?\n\"Answer: -6*c**2 - 31*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 370888 less than -5?\nAnswer: -370893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:45 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 5*r**3\/3 + 11*r**2 - 824*r. Calculate n(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -13 - (7 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 2*m + 120, 18*k - m - 9263 + 8743 = 0 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**34)**(-42)\/(o*o*o\/(o*o**(-2\/13))*o*o*o\/(((o\/(o**(-17)*o))\/o)\/o)))**(-15\/2) assuming o is positive.\nAnswer: o**(142365\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16330\/261 - -100501\/3915. Let u = p - -391\/10. Calculate the common denominator of u and -23\/10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.936 + -0.064. Let h = -4.021 - -0.071. Let f = h + 4. Which is the third smallest value? (a) -3 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + n)*(-190 - 336 + 284 - 451).\nAnswer: 1386*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-4))\/(-2*(-3)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a - 14. Let g be v(5). Suppose -5*y + 59 = -g. Let u = y - 0. Calculate the remainder when 59 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1168 - 1123. Solve 0 = -k*o + 53*o - 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t + 210. Let d(m) = 8*m - 216. Determine -6*d(j) - 7*k(j).\nAnswer: j - 174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43092.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 30*x - 1. Let f(v) = 628*v + 4. What is f(o) + 5*n(o)?\nAnswer: 778*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let m(t) = 3*t + 4 - 1 - 4 - 4*t + t**z. Calculate m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 + 112*y**2 - 112*y**2)*(3*y + 0*y - y + 2*y + 0*y + 0*y - y - 4*y + 3*y + (1 + 0 + 0)*(y + y - y) - y - y + 0*y)*(-2 - 1 + 5).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1856024730 divided by 6?\nAnswer: -309337455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y + 0*y - 20*y**2 - 3 + 21*y**2. Let s be v(-1). Is 1 - (-75 - -1)\/s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + -246c0?\nAnswer: -24699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 16, g: 4}. What is prob of picking 2 g?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 686.2766 tonnes in milligrams?\nAnswer: 686276600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9878 - 7031. Does 103 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-9\/7)\/(t*t**(2\/7)*t*t)*(t*t\/(t\/t**(-1\/8)*t))**(-10\/3) assuming t is positive.\nAnswer: t**(-349\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1515.636 + 1515. What is x rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Let a be 133 + (-1 - (-6)\/j). Let z = 526 - a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3729756*n**4 + 11149518*n wrt n.\nAnswer: -44757072*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 14 + (-1 - 20) + 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 0*g - 4*g + 0*g. Let v(i) = -658*i + 98. Let t(j) = 20*j - 3. Let o(h) = 98*t(h) + 3*v(h). What is o(k(p))?\nAnswer: 56*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*6\/42*0)\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 143 + 20*n**3.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/n)**(8\/9))**(-19) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -2*b**2 + 0*b + 49\/6*b**3 + 0 + 1\/24*b**4. Is n(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 7*d**6\/40 - 13*d**3\/6 + 8*d**2. Find the first derivative of p(q) wrt q.\nAnswer: 63*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -6409.\nAnswer: -12818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: c38f (base 16) to base 12\nAnswer: 24b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -40*p**2. Let f(h) = -13 - 19*h**2 + 21 + 5*h**2 - 8. Give f(t(o)).\nAnswer: -22400*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, c: 1, d: 2, j: 4, i: 3}. What is prob of picking 1 i, 1 y, and 1 d?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1024426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3605, -15260, -34685, -61880, -96845?\n\"Answer: -3885*o**2 + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + -0.63. Let h = 0.3 + g. Let w = 50 + -48. Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 394*z - 630. Give h(1).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/6)\/b)**(1\/5)*(b*b**(-5))\/b*b*b\/b**(-3\/5))**(1\/31))**20 assuming b is positive.\nAnswer: b**(-142\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 58944927*j. Let z(b) = 2*b. Determine z(m(h)).\nAnswer: 117889854*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2601782784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n + 4, -3*n = 5*i - 187. What is the least common multiple of 518 and i?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 266503 (base 11) to base 6\nAnswer: 12545410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from bbmmmbmmmbmbbmbmbbmb?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1889, 3740, 5553, 7328?\n\"Answer: -19*k**2 + 1908*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2294.92 and -379.\nAnswer: 1915.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 78 = 3*c, 0 = 238*c - 235*c - 2*u - 102. What is the lowest common multiple of 1443 and c?\nAnswer: 14430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1525)\/(-15) + 3\/9 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206216603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22950 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h\/(h**0*h))**27\/((h\/(h\/h**(-3)))\/(h\/h**(-5))*(((h*h\/(h\/h**(1\/3)))\/h)\/h)**(-23)) assuming h is positive.\nAnswer: h**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2504 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 10*h**2 + h + 2. Let g(a) be the third derivative of -a**5\/60 + 2*a**2. Let l(t) = 4*g(t) - u(t). Calculate l(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1664860210.\nAnswer: 2, 5, 13, 12806617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**(-1\/9)*t**(-3)*t\/t**5 assuming t is positive.\nAnswer: t**(-125\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11617*w**4 - 1 - 75 + 76 + 3*w**2 - w**4 - 3*w**2 + (w**4 - w + w)*(1 + 0 - 3) to the form f + q*w + r*w**4 + c*w**2 + n*w**3 and give r.\nAnswer: 11614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 2. Let v be a(0). Let u = -1 - 1. Let p = -6 - u. Sort -3, p, v.\nAnswer: p, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3981562 is divided by 92.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-2))\/((-104)\/(-12688)))\/(-1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/((sqrt(120)\/sqrt(2))\/sqrt(12)) - ((-1 + sqrt(19))**2 + 3 - (sqrt(1539)*2 - sqrt(1539))**2).\nAnswer: 3*sqrt(19) + 1516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:54 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 163 = -169. Is 16 a factor of 64 - (0\/(-5))\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -19*u + 172. What is k(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a1 (base 11) to base 12.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000055922083 to 7 dps.\nAnswer: 0.0000559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -3*d**7\/70 - 11*d**3\/6 - 5*d**2. Find the first derivative of s(j) wrt j.\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -48307, -96617, -144927, -193237, -241547, -289857?\n\"Answer: -48310*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqaarrrbqbq. Give prob of sequence aqb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*m + 10 - 0, 5*m = 5*n - 10. Let v(a) = -6 + n + 6 + a - 2. What is v(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-56))\/((-34)\/(-4)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(144))\/(sqrt(200)\/sqrt(4)) + ((sqrt(448) - (sqrt(448) - (0 + sqrt(448) - sqrt(448)))) + 5 + sqrt(448) - (4 + 1*sqrt(448))))**2.\nAnswer: sqrt(7)\/10 + 407\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 0*w**2 - 4\/135*w**6 + 0 + 1\/189*w**7 - 1\/27*w**4 + 0*w**3 - 5*w + 1\/18*w**5. Factor n(a).\nAnswer: 2*a**2*(a - 2)*(a - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1008)*2*-4 + -2 + -4*(-1*sqrt(28))\/sqrt(4).\nAnswer: -92*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5531.692ml?\nAnswer: 5.531692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -507a + 4?\nAnswer: -5076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3925\/37811 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/4 + -7 + 1. Let z(m) = m**2 + 7*m + 17. Let r be z(b). Solve 4*n = -2*f - 14, 0*n - f - r = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61cba (base 13) in base 11?\nAnswer: 110048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 18\/(-22)) + (-2660)\/(-836). Let f be (-45)\/36*-8 + x. Calculate the highest common divisor of 1053 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1115*f**2 - 6831*f - 64008555?\nAnswer: 2230*f - 6831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 996 + 746. Does 26 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 24922, 4, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1) + 1\/1. Let l = -822 + 820. Which is the smallest value? (a) z (b) l (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-2 - 1) + 12 + -18).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x - 363. Let r be q(32). Let d = r + 561. Solve -d*h - 17 = 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-40))\/(-1 - (-11)\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 78 = -5*o, -2*d + 3*o - 8*o = -52. Suppose -3*z = -4*t - 19, -z - t = -6*z + d. Factor 1\/4*n - 3\/8*n**3 + 0 - 7\/8*n**4 + 3\/8*n**2 - 3\/8*n**z.\nAnswer: -n*(n + 1)**3*(3*n - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**3 + 2*a**3 + 5*a**3 + (0*a + a - 3*a)*(2*a**2 + 0*a + 0*a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 15. Suppose -3*v = v - 64. Let k be v\/(-7) + (0 - -2). What is the nearest to k in 5, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15823539 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -114*o - 10. Let h(j) = 7809*j + 684. Let w(x) = -5*h(x) - 342*r(x). Let n(f) = -2*f**2. Determine w(n(y)).\nAnswer: 114*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - -86) + 8 + -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 2*v + 2*v**2 + 4*v**4 + 21764 - 21762 - v - v in the form q*v**2 + c + r*v + a*v**4 + x*v**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3679\/3720 - 121\/155. Let x(g) = g + 5. Let k be x(-5). Suppose k*u = 2*u. Is u greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -92*u**2 + 8534*u - 6402. Give s(92).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 2*t**2 + 2. Let z be 7\/2*(-16)\/28. Let s(g) be the second derivative of -g**5\/5 - 5*g**4\/12 + 5*g**2\/2 - 5*g. Determine z*s(h) + 5*k(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*a + 240 = 389*a. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 12. Suppose 0*u + 8 = 4*u. What is the units digit of (2 + -1)\/(a\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/6412080 and -73\/801510?\nAnswer: 6412080","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 12.23238059 rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymsxyft. What is prob of sequence yt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3)*(52536*n**3 - 7*n**2 + 3 - 52536*n**3 - n**4) to the form z*n**2 + f*n**4 + t*n**3 + u + y*n and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 80\/7 + -1 - 24\/56. Let s = w + -6. Suppose 2*n = 3*i + 25, -2 = -s*n + i + 73. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*h**4*u**3 + 3*h**4 + 5*u**3 - 255 with respect to h.\nAnswer: -188*h**3*u**3 + 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 908418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12913123331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-6))\/((-3)\/12) + 297530\/30 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 4, 1, 2 in descending order.\nAnswer: 14, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 454325 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from uddudu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21\/335 + 398\/1005. Let t(l) be the second derivative of 14*l + x*l**3 + 0 + 0*l**2. Let a(k) = -39*k**2. What is a(t(y))?\nAnswer: -156*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w + 4061820 - 4061820.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -673, -42, -4, 65?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**2\/2 - 3*l + 2. Let s be o(-5). Suppose -2*v - 1 = 1. What is the smallest value in -0.5, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6645 - -53253\/8. Find the common denominator of u and 73\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 9*p**2 - p - 4. Is 8 a factor of g(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 24*p. Let m(x) = -984136*x. What is m(h(k))?\nAnswer: -23619264*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 0*v - 7 + 4*v + 3*v + 0*v - v + (-4*v + 2*v + 0*v)*(-3 + 6 - 4) - 4*v + 2*v + 3*v + 3*v + 2 - 2 + 77*v + 73*v + 53*v.\nAnswer: 212*v - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/32 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -37. Suppose x*c + 20 = -2*c, -5*n - 3*c = -2265. Suppose 2*s - 814 = n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35\/(-3)*(-24)\/8 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 535 + -535.3. What is the closest to -0.1 in 0.9, g, -4, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 3*q**6\/40 + 107*q**5\/10 - 145*q**4\/8 - 36*q**3 + 273*q**2. Find f such that d(f) = 0.\nAnswer: -72, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/(-12) + 6\/9. Suppose -n - 5*r = -1195, 0*n + 5995 = h*n + 5*r. Round n to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 12.9. Let j = -0.198 + -14.902. Let g = a + j. Are 0.1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.036 (b) 0.07 (c) -101.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times -662561?\nAnswer: -31140367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-27))\/((-1)\/27*-9). Let l = 0.5 - 0.4. Let n = 0 + l. What is the smallest value in n, -13, a?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i + 2. Let o be f(-7). Let z be 1*(-16 - -17 - 478*(0 - (-2)\/(-4))). Calculate the highest common divisor of o and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggn when three letters picked without replacement from {g: 3, n: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53430\/(-2665) + 20)*-943.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -114.8083 * 2\nAnswer: -229.6166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*u + 58 = 0, p - 5*u = 2*p - 49. Solve 756*c + p = 760*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 2*t + 5*t)*(-4 - 3 + 6) - 24*t - 561*t - 589*t + 295*t.\nAnswer: -882*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.178527ug in nanograms?\nAnswer: 9178.527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -3380, 0, 63, -2 in increasing order.\nAnswer: -3380, -2, 0, 1, 7, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4621, 4500, 4379, 4258, 4137?\n\"Answer: -121*q + 4742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -585*s + 0 + 1022*s + 0 in the form x + j*s and give j.\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q - 86. Give v(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (108\/45)\/(2\/(-15)). Let t be (8\/(-48) + 15\/h)*11. Let u be -2*(-1 + 22\/4). Is t at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 19 + 4. Let p(m) = -m**3 + 5*m**2 + 2*m - 25. Let g be p(4). Sort g, u, 1 in decreasing order.\nAnswer: 1, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-5))\/((-4)\/(-420)). List the prime factors of (i\/(-3))\/(1\/(-2)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x**(1\/6)*x)*x**(2\/11)*x)**12\/(((x*x\/x**1*x*x*x)\/x)**(-30)*((x\/((x*x**(-1\/3)\/x*x)\/x))\/x)**(-15)) assuming x is positive.\nAnswer: x**(1443\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 2)*((-9)\/6)\/3. Suppose -2*u = 5*z + 3*u - 5370, z - 4*u - 1084 = g. List the prime factors of z.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1514401926 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssi when three letters picked without replacement from shshshhisshiss?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12211112 + -222?\nAnswer: -12212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 40 = 13*x. Suppose 0 = 4*l + 4083 - 4139. Solve 3*r = -x*s - l - 9, s + 10 = -5*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377 - 319 = -58*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (-112)\/(-35)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19369, -38751, -58133?\n\"Answer: -19382*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-8\/7))**(-24))**(-30))**(-31) assuming y is positive.\nAnswer: y**(178560\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -19*w + 101. Let l be b(5). Let c be (l - 2 - 8\/(-8)) + -1. Solve -2*d = 5*n + 28, d - 3*n = 4 + c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159975 by -675.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1*(-4)\/(-288)*((-204672)\/858)\/164?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 11. Let g be m(-6). Let y = g - -7. Suppose -5*t + 3*t - y = 0. Which is the second smallest value? (a) 1\/7 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/5)*u**(-7))\/(u**0\/u)**(-9\/10))\/(u*u\/(u\/(u**(-4)*u)*u)*(u\/(u\/u**(2\/3))*u)\/u*u**(-1\/2)*u**6) assuming u is positive.\nAnswer: u**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*a + 30 = 0, 4*n + 40 = a - 3*a. Let h(q) = q + 15. Let s be h(n). Suppose -s*y = -19 - 11. Solve y*u = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/15 - 5*s**3\/6 - 3*s**2. Differentiate h(z) with respect to z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 21*i - 3. Let j be n(1). Let p(h) = -h**3 - 5. Let k(s) = 4*s**3 + 17*s**2 + 19*s + 8. Let g(l) = k(l) + 5*p(l). What is g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/(5\/30). Let a(b) = -1 + 2 - d*b - 2. Give a(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456052156*y**2 + 3*y**3 - 2*y**3 + 456052156*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/27*6)\/(185\/7992*-12).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3627284, 3627432, 3627580, 3627728, 3627876?\n\"Answer: 148*z + 3627136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1.2. Which is the closest to -0.05? (a) u (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 11*n**7\/84 - 4*n**6\/15 - 3*n**5\/10 + 2*n - 3. Factor s(o).\nAnswer: o**3*(o - 2)*(11*o + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 10:53 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1 + 10.9. Let k = t - 19. Sort k, 5, 0.\nAnswer: k, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**0)**(-4)*q**(-7)\/(q**9\/q) assuming q is positive.\nAnswer: q**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 43652.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h + 197*h + 248*h - 112*h.\nAnswer: 316*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12993\/13 - 1000. Find the common denominator of s and -48.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-3))\/(785\/628)*321\/4?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14431*q**3 - 3*q**2 + 2 - 8522*q**3 + q**2.\nAnswer: -22953*q**3 - 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6643.4 + -5277. Round d to the nearest ten.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22833 and 186456815?\nAnswer: 2537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9918)\/(-21) - (-2)\/(-7). Is x\/18 - (-6)\/(-27) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19590 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*c - 6*c - 1, -4*c = -r - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 5*f + 39 = -13*h, -2*f - 5 - 7 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 751, 1\/8, 2\/9, 4\/5?\nAnswer: 751","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x + 2. Let h = -52 - -53. Is 4 a factor of i(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 431*j - 219. Is 21 a factor of z(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 3*c**2 + 8*c + 2. What is q(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11111010111 (base 2) to base 5\nAnswer: -31012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 89\/6*j**3 + 1\/24*j**4 + 0*j**5 + 0*j - 8 + 2*j**2 + 1\/40*j**6. Find the second derivative of q(y) wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -4, 4 in descending order.\nAnswer: 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, -4\/7, 0.3, 1\/31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q**2 - 4*q**3 + 4*q**2 + q**3 + 9*q**2 - 2*q**4 as a*q**3 + c*q**4 + j + g*q + y*q**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243202?\nAnswer: 2, 17, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 4. Let p = 0.5 - m. What is p rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175*k**2*r**2 + 2*k**2*r - 628*k**2 + 27*k*r**2 - 46*r**2 - 102*r wrt k.\nAnswer: -350*r**2 + 4*r - 1256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/2)*n**(-4\/7))**(-28)\/((n*n**(-2\/11))**(-8\/13)\/(n**(-4)\/n**(-2\/5))) assuming n is positive.\nAnswer: n**(39256\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 12 - -4 - 1 - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -5 (c) -54\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/34))**(-1\/33) assuming n is positive.\nAnswer: n**(-1\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 2*h + 4, -5*h + 387*m = 388*m + 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 73 = 2*r - 81, -20 = 2*z - 5*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 246*k + 247*k - 1 + 2*k**2. Let d(t) = -7*t**2 - 6*t + 7. Calculate -d(n) - 6*y(n).\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13005 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: Let y(c) = -2*c + 7. Let q(o) = -o + 7. Let d(f) = 3*q(f) - 2*y(f). Let h be d(-4). Suppose -4*w + 0*w = 0. What is the biggest value in h, -1\/2, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9389893979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -12240 to the nearest one hundred.\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 11*f**2 + 13*f + 9. List the prime factors of d(10).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -5\/54, 2\/3491?\nAnswer: -5\/54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 - 5*p - 6. Let u be l(5). Suppose -z - z = -u. Calculate the remainder when z is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*k + 281 - 60 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -85 + 0*x + 16 + 4*x - 2*x**2 + 2*x - 13 in the form q*x + v*x**2 + l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27900 is divided by 27417?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 0 + 2 + 5.\nAnswer: sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -52. Suppose 100*o + 60*o - 26*o - 24656 = 0. What is the highest common divisor of o and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 1:29 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3144, 3139, 3132, 3123, 3112?\n\"Answer: -a**2 - 2*a + 3147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f. Suppose 5*v - 20*i + 2 = -23*i, 0 = -v + 5*i + 22. Let w = -19 + 14. Put -1, w, f, v in ascending order.\nAnswer: w, -1, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30214 to the nearest 100.\nAnswer: -30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 + 40*b - 4. What is the hundreds digit of f(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + k = -3*s + 22, 3*k = -4*s + 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.372 plus 62.746982?\nAnswer: 83.118982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5 = -6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/6*9195\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 179. Suppose -604 + v = -a. Suppose 83 = 4*g - a. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88064\/(-2064) - 4\/(-6)) + (-1 - -14).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*f**2*h*n - 28*f*h*n - 11*h*n - 5*h wrt f.\nAnswer: -86*f*h*n - 28*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -75*n**2. Let z(p) = p - 25. Let g(j) = -j + 15. Let y(f) = f**2 + 5*f + 10. Let u be y(-5). Let w(o) = u*g(o) + 6*z(o). What is t(w(h))?\nAnswer: -1200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((320\/2)\/(-8))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 12*g - 5. Let r(j) = 2*j - 1. Let d(k) = -9*k + 4. Let f(z) = -d(z) - 4*r(z). Give f(q(t)).\nAnswer: 12*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4758801.67 rounded to the nearest 1000?\nAnswer: -4759000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -31, -5, -2\/7, 78, 2\/7 in ascending order.\nAnswer: -31, -5, -2\/7, 2\/7, 72, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.6 + -20. Let p = -5 + v. Let l = 2 - 2. Which is smaller: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1432*o - 4300. Give i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -110620 (base 7) in base 8?\nAnswer: -46074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -447, -895, -1343, -1791, -2239, -2687?\n\"Answer: -448*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -2\/17 (c) -2\/5 (d) -55 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3 - 166*a**2\/5 + 68*a\/5 = 0.\nAnswer: -17, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80 - -443. Let v = j + -110. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 3*b**2 + 3*b - 3.\nAnswer: -3*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 568 + -586. Suppose 5*n = 13*b - 15*b + 8, 3*n = -5*b + 1. Sort n, u, -1, -3 in ascending order.\nAnswer: u, -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 = 108. Let l = -84 - -59. Let k = l + d. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 18 = -5*z, 0*l = 3*z - 3*l + 6. Let r be z\/(-8) - 41086\/(-120). Let k = r - 342. Put -1, k, -0.5 in descending order.\nAnswer: k, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x - 14. Let p be k(-12). Let s = -29 + p. Suppose -s = -2*m - 3*m. Is m != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134130 is divided by 193?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1048*r - 1055*r + 14210 = 0. What are the prime factors of r?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1821*x - 2605845. Calculate z(-1431).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4*(sqrt(1377)*-2 + -2) + 1 + -6*3*sqrt(1377))*6)**2.\nAnswer: 131976*sqrt(17) + 33512881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/12)\/(-4)*-12. Suppose -690 = -u*d + 618. Suppose -2*v - 4*m + 39 + d = 0, 4*v - 4*m - 792 = 0. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*b = a - 19, -3*a + 42 = -3*b. Let s(h) = 11*h**3 - h - 2. Let f be s(2). What is the remainder when (f\/(-10))\/((-1)\/5) is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + z. What is the units digit of (-3)\/3*(z - 22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6820, 6790, 6756, 6718, 6676?\nAnswer: 6630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**7\/42 + 11*g**5\/20 - 12*g**2 - 9*g. Let t(p) be the first derivative of x(p). Find the third derivative of t(d) wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3488 = 251*c + 978. Put -2, 3, 4, -4, c in ascending order.\nAnswer: -4, -2, 3, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*15\/(-30))\/(2 - 1085\/546).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0.3. Which is the smallest value? (a) -0.04 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006266 to four decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1212*b - 112748 = -199*b - 177*b for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*r - 6. Suppose 2*o = -3*b - 3, 3*b - r*o = -0*b - 21. Let i be ((-14)\/3)\/(2\/b). Calculate the greatest common divisor of 21 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 238934799 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241884.\nAnswer: 2, 3, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l**5 - 267*l**4 - 9*l**3 + 1266*l**2 + 228*l - 792 = 0 for l.\nAnswer: -22, -2, -1, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*f - f - 1, 0 = 5*f + 3*p + 8. Sort f, 2, -1\/8, -3 in decreasing order.\nAnswer: 2, -1\/8, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4774 + -5?\nAnswer: -4780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpukupppp. Give prob of picking 2 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -73659 divided by 1?\nAnswer: -73659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 7) in base 4?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*((2 + (sqrt(2) - (sqrt(2) + 1)) - (6*sqrt(6)\/sqrt(3) + sqrt(2))) + (sqrt(128) - (-1 + sqrt(128) + sqrt(128) + 0)))*5)**2.\nAnswer: -216000*sqrt(2) + 1634400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19040 - -5?\nAnswer: 19045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 128*t**3\/7 - 256388*t**2\/7 + 1286732*t\/7 - 39960\/7 = 0.\nAnswer: 1\/32, 5, 1998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.20225 - 59.\nAnswer: -38.79775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-4 + (-6 - -18))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = n - 60, 4*n = 2*h - 5*h + 332. What is the lowest common multiple of 75 and n?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -118, -241, -364, -487?\n\"Answer: -123*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -33*x - 62. Let z be f(-2). What is the third derivative of 8*i**z - 3*i**5 + 18*i**5 - 6*i**4 + 95*i**2 + 83*i**2 wrt i?\nAnswer: 900*i**2 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.051198237 to three dps.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 + 56. Let z = -26.03 - m. Let g = -6.17 + z. What is g rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 13 + 9)*(-3*t - 2*t + 3*t) + (7 + 8 + 1)*(t - 4*t + 2*t) as p + w*t and give w.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16 + 22)\/((-19)\/(9557\/(-2))).\nAnswer: 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7426712 weeks?\nAnswer: 449167541.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 975 - 975 to the form u*m**2 + l*m + q and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 17*b - 234. Let w(f) = 8*f - 116. Calculate 6*s(g) - 13*w(g).\nAnswer: -2*g + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636743827.\nAnswer: 31, 117314317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8301*r**4 - 6208 wrt r.\nAnswer: 33204*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1141415*f + 1675498?\nAnswer: 1141415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-21) - 2\/3. Suppose -b - 8 = 2*l + l, -3*b = 5*l + 20. What is the units digit of 3 + l + 2 + n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9*o - 46. Let u be m(-10). Suppose 5*y + 1 = -4, -3*x = -5*y - u. What is the remainder when 14 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 82413926?\nAnswer: 82413934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -5. Let q be (-4)\/(2*s)*9. Let v be ((-8)\/q)\/(14\/105). Calculate the greatest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3 - 1701408*g**2 + 241218820032*g + 3859936693248 = 0. Calculate g.\nAnswer: -16, 283576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -116*o - 3. Let u be l(-4). Let a = u + -308. What is the highest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-14) + (-37)\/(-7). Let g be 16*(o\/(-2))\/5. Let x(z) = z**3 + 7*z**2 - 10*z - 11. Let t be x(g). Solve d = -0*d - t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 25785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 275\/4 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -368234 = -368236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + -1)\/(1\/(-13)). Suppose 44*x = h*x + 4120. Is 38 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**4)**(2\/131)*o**(-29)\/(o\/(((o\/o**(-4\/3))\/o)\/o)) assuming o is positive.\nAnswer: o**(-11677\/393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 5379*t - 7265*t - 5377*t - 5378*t + 23399*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -459.1704059 rounded to one decimal place?\nAnswer: -459.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 35*p**3 - 2*p**2 + 2*p - 1. Suppose -24*r = -21*r - 3. Let n be y(r). What is the tens digit of n + 0\/(1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fddhtfoh. Give prob of sequence fdt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 + 2*p**2 + 2*p + 1. Let i be y(-1). Suppose -n + i + 1 = 0. Find the second derivative of -7*b**5 - 10*b - b**n + 8*b wrt b.\nAnswer: -160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -4777.\nAnswer: -7\/4777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 44*c**2 + 280*c + 400.\nAnswer: 2*(c + 2)*(c + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*(0 + sqrt(432) - sqrt(48))**2 + (5*-2*sqrt(147) - (sqrt(147) + 1)*4)**2).\nAnswer: -146060 - 3920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -36, 4, -1, -799.\nAnswer: -799, -36, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**11*j\/(j\/j**(-1\/55)))\/(j*j**(1\/3))**(2\/23) assuming j is positive.\nAnswer: j**(41236\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -176 + 176.000217. Round x to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3592, -7507, -11750, -16321, -21220, -26447, -32002?\nAnswer: -37885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1132, 2512, 4162, 6100, 8344, 10912?\nAnswer: 13822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 678*i - 37650. What is q(-269)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -128\/7*u**2 - 2\/35*u**5 + 0*u + 108 - 9\/7*u**4 - 64\/7*u**3. Factor n(d).\nAnswer: -2*d*(d + 2)*(d + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*sqrt(6)\/sqrt(2) + 4*sqrt(9)\/sqrt(3).\nAnswer: 5 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2429*t**2 - 4.\nAnswer: 2429*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4071 and 67968.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43.1 + -0.9. Let q = n - -43.958. Let r = -4.042 - q. Sort 2, -2\/15, r in decreasing order.\nAnswer: 2, -2\/15, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -422 + 523. Let h(i) = 225*i - 10*i**2 - 138*i - i**3 - 7 + 2*i**3 - q*i. What is h(11)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1762320.\nAnswer: 2, 3, 5, 7, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258264 and 15825?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -1226*a**2\/3 + 6134*a\/5 - 12\/5 = 0. What is a?\nAnswer: 6\/3065, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6 + 10. Let m be ((-10)\/(-6))\/((-278)\/72 - -4). Calculate the greatest common divisor of z and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -84. What is the highest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.208 - -0.27. Let h = -5 - -5.06. Let k = h - i. Round k to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*t, -2*t + 55511 = 3*v - 75446. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 4*y**2 - 3*y - 4. Let u be m(-4). Let o = u + 5. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 86 = 3*p, 3*i - 35 = -20. Solve -12*n - 9 = -10*n - b, 0 = 5*n - 4*b + p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u, -i - u = -3*u + 3 + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (46 - 27)) + 0\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 58 (b) -4\/5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n + 484. Let f be v(54). Sort 5, 39, -0.5, f in descending order.\nAnswer: 39, 5, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30300*w**3 - 30310*w**3 - 208*w + 87 - 87 + 208*w.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(187)*3*-3)\/sqrt(11).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5 = -x, -1 = 5*x + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64000132 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from ssjjjxaaxjxbb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose 0 = -3*z + 2*v + 141, 0 = z - 0*v - x*v - 54. Suppose 4*j + 80 = 5*j + 3*s, j = 4*s + z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.21 * 0.1\nAnswer: -0.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qei when three letters picked without replacement from jajqaaaeaaaiqa?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 9 - (-1281)\/168?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -20*d + 27. Let o(r) be the second derivative of 9\/2*r**2 + 0 - 7\/6*r**3 + 48*r. Determine -6*g(q) + 17*o(q).\nAnswer: q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728, -740, -750, -758?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5 + -15.\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6244*n - 6244*n + 175*n**2 to the form u*n**2 + v*n + d and give u.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -n - 48, n - 162 = -5*d - 222 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**2 - 141*z + 67. Let f be w(35). Which is bigger: f or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x + 16. Let a = 70 - 65. Let i be d(a). Solve -i + 11 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 + 173686364*p\/5 - 7541738259885124\/5.\nAnswer: -(p - 86843182)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 296*b*w**2 + 2*w**2 - 95*w wrt b.\nAnswer: 296*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 3 + 4*c - 50*c - 5*c + 61*c - 2.\nAnswer: 6*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 75*n + 75*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/10 and (-9728)\/749 + 250 + -237.\nAnswer: 7490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 1:46 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*l**3 + 10*l**3 - 16*l**3.\nAnswer: -31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14790 + 23938. Suppose -3*k + 5257 = -4*p, -5*k - p - 417 + u = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/86 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 54 + 34 = 0. Solve -4*n = j*f + 6, 5*f + 11 = 2*n + 29 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 4. Let k = 13 - 17. Let f be t(k). Solve 5*d - 3*x + 22 = 0, 2*x = -f*d - 2*d - 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 - 5*p**2 + 6*p - 5. Let a(z) = -5*z + 76. Let j be a(16). Let q(o) = -2*o**3 - 4*o**2 + 5*o - 4. What is j*i(d) + 5*q(d)?\nAnswer: 2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/12 + 3*g**3\/2 - 8*g**2 - 11*g. Let t be p(3). Differentiate -x**2 - x**2 - 19*x**2 + 0*x**t - 32 wrt x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*c - 575 = 0, -2*s = 33*c - 35*c - 374. Calculate the lowest common multiple of 378 and s.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052010 is divided by 1377.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**4\/12 - w**3 - 6*w**2. Determine f(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c + 465. Let w be (-2)\/12 - c\/18. Let r(m) = 5*m - 31. Let x be r(7). Sort w, x, 3 in decreasing order.\nAnswer: w, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99 and -187.\nAnswer: 18513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 1\/2, 0.1, 3, -7\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2202211101 (base 3) to base 2.\nAnswer: -1101010100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 9:34 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4))\/(2\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6447764 years in millennia?\nAnswer: 0.0006447764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30356005, 121424028, 273204067, 485696122, 758900193?\n\"Answer: 30356008*s**2 - s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**2 - 2*t + 1. Let x(q) = -831*q**2 - 2947*q + 4. Let j(a) = 4*k(a) - x(a). What is the second derivative of j(y) wrt y?\nAnswer: 1622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/3 - -4)\/3. Suppose h = -11*g + 3*g + 24. Let a(f) = 6*f**2 + 6*f - 3. Let k(n) = -7*n**2 - 7*n + 4. Let u(j) = g*k(j) + 4*a(j). Give u(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 91, 87, 83, 79, 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1144*u - 2851. Is k(93) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -169, 5, 15 in increasing order.\nAnswer: -169, -1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1\/4, 349 in descending order.\nAnswer: 349, 1\/4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 614 * -0.1\nAnswer: -61.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (122\/(-565470)*-103)\/(-2*3\/(108\/(-3))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {j: 1, f: 2, c: 1, o: 1, h: 1, t: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -57, -60, -57, -42, -9, 48, 135, 258?\n\"Answer: w**3 - 3*w**2 - w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-3)\/(3\/(-49)). Let n = -26 - h. Let x = 101 + -94. Calculate the remainder when n is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1506, 0.3, 1.477?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 8*v**2 + 7*v + 3. Let m(w) = -w**3 + 14*w**2 - w + 7. Let h be m(14). What is c(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in 0.2, 2\/5, -4, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) 0.4 (c) -0.1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*y - 7 - 6 = 0, -2*c - 17 = 5*y. What is the least common multiple of 32 and 25\/5 - -36 - c*3?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 + 5*g + 5. Suppose 5*k + k - 30 = 0. Let b(q) = -4*q**2 + 7*q + 7. Let s = -20 - -13. Calculate k*b(f) + s*h(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9 + -5. Let m = -0.2 - -0.55. Let f = 0.05 - m. What is the closest to k in 2, 2\/17, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 4*s**3 - 3*s**3)*(-6*s + 7*s + 4*s) + (2*s**4 - 5*s**4 + 5*s**4)*(2 - 4 + 1).\nAnswer: 13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31, -62, -113, -184, -275?\n\"Answer: -10*p**2 - p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 62*g**2 + 214*g - 30. Calculate k(-4).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136 + -141. Sort g, -3, 3, 5 in decreasing order.\nAnswer: 5, 3, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.839 - 2.92446. What is i rounded to three decimal places?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*5*(0 + sqrt(5) + sqrt(5)).\nAnswer: -120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 37. Put -6, 4, s in increasing order.\nAnswer: -6, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-910)\/50)\/(-1 + -156*(-8)\/1245)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13*1647\nAnswer: -21411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 199122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310514182.\nAnswer: 2, 11, 1607, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 186*p**3 + 14*p**2 - 5*p?\nAnswer: 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9152417 - 9152417.04680129. Let k = -0.0468 - q. What is k rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122634 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -315, -13530, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-2093) - (-16)\/184.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 3*j + 4*g + 21, 2*j - 4*g = -32. Let v be (10\/3)\/((-12)\/j). Solve -v*c + 0*h + 2*h + 20 = 0, 4*c + 5*h - 16 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2931780.6 minutes in hours?\nAnswer: 48863.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*q - 2, 4*y - 7*y = 5*q - 22. Suppose 4*j - j - 11 = -5*d, 5*j + 3*d + 3 = 0. Sort y, -7, j, -2 in ascending order.\nAnswer: -7, j, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-1\/3)*l**12*l*l**8*l**(-5\/9) assuming l is positive.\nAnswer: l**(190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b - 13 + 34. Let s = -4 - -7. Solve 0 = b*o - s*c + 15, -2*c + 0*c = -4*o - 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d**2 - 85*d + 15. Calculate f(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21268705609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32622, -30869, -29118, -27369, -25622, -23877, -22134?\n\"Answer: -p**2 + 1756*p - 34377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.37 - 6.370933. Round p to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1347 = -3*j, 1342 = 2*k - 0*k + 4*j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 3840.94?\nAnswer: 1536.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*a + 46*a + 620. What is the highest common divisor of a and 870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 89248 and 36641882.\nAnswer: 586270112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -16, 0, -20, 16, 1 in increasing order.\nAnswer: -20, -16, -5, -2, 0, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + p**2 - 2*p - 3. Give a(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t + 9. Let x be m(6). Let k = -27 + x. Is ((15\/2)\/(-1))\/(k\/(-12)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16592 + 35*f**3 - 331*f**3 - 2*f**4 + 2*f - 16575 in the form y*f**2 + h*f**4 + c + i*f**3 + a*f and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 (base 13) in base 3?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 948000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m = 36*m - 85. What is the common denominator of 75\/8 and 72\/16*2\/12*m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*o - 3*r - 4, 5*o - 4 = r. Let q(n) = o*n + 0*n - n**2 + 0*n + n**3. Let x(j) = -3*j**3 + j**2. Let i(p) = 2*q(p) + x(p). Factor i(f).\nAnswer: -f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*-0.10416.\nAnswer: 0.0124992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(252) - -3*(sqrt(252) + 1))**2*6 + 2.\nAnswer: -48490 - 1728*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/15 - 54\/(-45). Let u = 3 - 3. Let y be (-7)\/4 + (u - -1). Which is the closest to -1\/4? (a) 3\/4 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 2*c**2 + 7*c. Let g(d) = 9*d**3 + 10*d**2 - 35*d + 405. Determine -g(v) - 5*j(v).\nAnswer: -4*v**3 - 405","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 620 - 490. What is the least common multiple of 1\/(26\/b + (-1)\/10) and 38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 3*w**2 - 5*w - 5. Let f(k) = -k**2 + 2*k + 2. Suppose 0 = -v + 4*i + 139, 2*i = 3 - 7. Let g = -129 + v. Determine g*c(z) + 5*f(z).\nAnswer: -2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 371*r - 2857. Calculate n(3).\nAnswer: -1744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g**3 - 2183 + 94*g**3 + 557.\nAnswer: 110*g**3 - 1626","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w\/((w*w**13)\/w))*w)*w**(4\/3))\/(w\/w**(-14)*w\/(w\/(w\/w**(-24)))) assuming w is positive.\nAnswer: w**(-158\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 + y + 1. Let v(f) = 59*f + 1 - 170*f + 7*f**2 + 113*f. Give 5*g(m) - 2*v(m).\nAnswer: 6*m**2 + m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5167*56\nAnswer: 289352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8807*b**3 - 1851*b**2 - 65493037 wrt b?\nAnswer: -26421*b**2 - 3702*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 351910 by -5414.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 107*-5\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (1 - -2))*1896\/6. Suppose -10*q + z = -1456. Suppose -5*i - 22 + q = 0. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311112 (base 4) to base 6\nAnswer: -23450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h - 10. Give c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7 + 32*v**2 - 6 - 33*v**2. Let p(j) = -2*j**3 - 5*j**2 + 5. Let o be (-8 - -11) + (-18)\/2. Determine o*a(u) + p(u).\nAnswer: -2*u**3 + u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/145905 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 - 1833*g\/4 - 1827\/2.\nAnswer: -3*(g + 2)*(g + 609)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 2:50 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/11006340 and 123\/95388280.\nAnswer: 286164840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(600))\/(-1*(-4*sqrt(8) - sqrt(8))) - (sqrt(27)*-3*3)\/(sqrt(1089) + -1*sqrt(1089) - sqrt(1089)))**2.\nAnswer: 3675\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*u = -124*u + 404*u - 1755 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1769, -1767, -1765, -1763, -1761, -1759?\nAnswer: -1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*o - 6*o + 150 = 0, -2*o - 714 = -5*x. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 109394\/(-7700) + (-2)\/7. Let c = -3\/3829 + 1792047\/95725. Let s = g + c. Calculate the common denominator of s and 89\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 5*o - 3*o**3 - 3 + o + 4*o**3. Let m be k(-2). What are the prime factors of m\/(-2) - 2\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -49*a - 113. Let l = -501 + 552. Calculate the smallest common multiple of l and g(-3).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11225826 divided by -5\nAnswer: 11225826\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 412, 343, 202, -47, -440, -1013, -1802, -2843?\nAnswer: -4172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2016920 and 0.04?\nAnswer: 2016919.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 - -2.81. Let d = 0.11 - g. Which is the nearest to d? (a) 1 (b) 5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3749 + 713*h**2 + 3749 to the form g*h**2 + o*h + q and give g.\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 18. Suppose -4 = -2*a - 18. Let n = -2 - a. Solve -n*b - 23 - l = 2*u, -2*u - 3*b - 19 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1196*o**5 + o**3 - 1484*o wrt o?\nAnswer: 23920*o**3 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-8)*(-20)\/40.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 922, 2068, 3672, 5734, 8254, 11232?\nAnswer: 14668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231458475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1132 (base 5) to base 12\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(-38))**34\/((h*h**(-6))\/(h\/((h**(-1\/19)*h*h)\/h)))**(5\/7) assuming h is positive.\nAnswer: h**(-343192\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*j + 5548 = -79*j + 39*j for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52281746 rounded to three decimal places?\nAnswer: -0.523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -35. Let s = -11 + y. Let j = s - 5.4. What is the closest to j in 0, 0.1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 1 - 3 + o**3 - 8 + 10*o**2 + 4*o. Is k(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 3*c + 5. Is m(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16\/9, 1\/11, 2?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55065 + -26255. Round u to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28886, 57778, 86670, 115562, 144454, 173346?\nAnswer: 202238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(sqrt(132)*1 - sqrt(132))\/sqrt(12))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 + 6\/45. Let x = -0.93 - 0.07. Which is the nearest to x? (a) z (b) 1\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 38 = -6*d - n, -2*n = 2*d + 20. Is 2 a factor of (-8)\/d*(-21)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 720*u - 86. What are the prime factors of q(15)?\nAnswer: 2, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 10. Suppose -2*g - g = -v*g. Let y = 99 - g. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - 82*j + 71. Calculate i(-40).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6794*z + 12. Let p be t(2). Suppose 8*r + p = 28*r. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -870405?\nAnswer: 870402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-390)*13)\/((-1)\/((-21)\/2))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:09 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5*u - 5, 0*p - u = -2*p + 7. Let q(z) = -3*z - 1 - 2*z**2 + 0*z**2 + z**2. Let d be q(-2). Solve 2*a + p = d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 5:53 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*u + 25, -l + 4 = -20924*u + 20921*u for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 15*p - 1. Let v(l) = -l + 15. Let h be v(15). Suppose h = 2*x - 8, -3*x = -4*g - 2*x + 60. Calculate the remainder when 27 is divided by q(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42211*g + 42244*g + 594 = 0 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 16*f**3 + 35*f - 35. What is p(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 3*y**4 - 8*y + 3. Differentiate r(f) wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + 8.8. Let x = -0.6 + 1.6. Let t = -0.24 + 0.04. Which is the second biggest value? (a) t (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28230 - 28232. Let p = 85\/7 - 404\/35. What is the smallest value in p, l, 1\/3, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 2170 - 2180. Let i(n) = n**3 + 10*n**2 + 4*n - 9. Calculate i(z).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a minute in seconds?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5819, 2990, 173, -2626, -5401, -8146, -10855, -13522?\nAnswer: -16141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 16) to base 13.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6270745141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 71861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 + 2*i**2 + i - 2. Let j(g) = -13*g**3 - 7*g**2 - 4*g + 7. Let t(s) = 2*j(s) + 7*q(s). What is the second derivative of t(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.072 - -0.028. What is the smallest value in -3, d, 108?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 173 = 69. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**4 + 314*b**3 + 2*b**2 - 4*b + 24520463 with respect to b.\nAnswer: 12*b**3 + 942*b**2 + 4*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58309063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -38*u**3 + 871*u**2 - 11*u - 33. Let c(z) = -7*z**3 + 174*z**2 - 2*z - 6. Determine -11*c(w) + 2*o(w).\nAnswer: w**3 - 172*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144 - 114. Suppose 19*b - u = 14*b. What is the smallest common multiple of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:49 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 98 = 17*f, f + 5*b - 149 = -115 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -38*5\/50 - -4. Let p(x) be the second derivative of -1\/5*x**2 + 0 - w*x**3 - 1\/10*x**4 - 1\/50*x**5 - x. Factor p(l).\nAnswer: -2*(l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 2405?\nAnswer: 2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.06 + -5. Let i = -0.019479 - 0.040522. Let m = l + i. What is m rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*j**5 + 312*j**4 - 220*j**3 - 310*j**2 + 51*j - 2 = 0. What is j?\nAnswer: -2, -1, 1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -16*p + 15. Let m(k) = -7*k + 467. Let r(y) = -15*y + 981. Let c(l) = -21*m(l) + 10*r(l). What is 11*c(f) - 2*d(f)?\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -101709.2 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 73 - 27*s**3 + s**2 - 9*s + 1\/4*s**4. Find the second derivative of g(v) wrt v.\nAnswer: 6*v - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxxxmmxmmmxmxx. What is prob of sequence mm?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = h + 10, h = r - 0*r + 5. Let a be 1*h + (1 - 1). Solve -5*z = -2*s - 14, 0*s + 4*s - 4 = a*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 8 + -2 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/((2\/(-25))\/(4216\/(-36890))).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**3\/3 + 17*o**2\/2 - 9*o - 2. Let f be h(9). Suppose 2*u = u + f. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(1 + (-35)\/(-2)). Suppose 18 = f - a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10522183000 to the nearest 1000000.\nAnswer: -10522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -690*n + 38. What is the hundreds digit of r(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/60 + 17*p**4\/24 - 4*p**3\/3 + 731*p**2 - p. Determine v(12).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**2 + 0*q**2 + q**2)*(-2*q + 0*q + q) - 82*q**3 + 576*q**3 + 308*q**3 to the form v*q**3 + s + y*q**2 + n*q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -79, 1\/11, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 8:55 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from xewxwxrx?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3524768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgrgrggrqr. What is prob of picking 1 q and 1 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3125 = 5*c + 7*d, 0 = -5*c - 5*d + 3130. Calculate the remainder when c is divided by 296.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(0 + -1)*-7. Let i = c - -4. What is the closest to 2 in -2, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -8.9513.\nAnswer: 26.8539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1056*g*t*y + 72037*g*y - t**3*y + 9*t*y wrt t.\nAnswer: -1056*g*y - 3*t**2*y + 9*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9185485.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5517*c + 3872906. Give w(702).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1211, -1206, -1189, -1154, -1095?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, e: 1, o: 1, u: 2}. What is prob of sequence uuo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/1420 and -41\/80.\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7319\/(-26))\/(6\/4 - 2). Let p = u + -152. What are the prime factors of p?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**9*x**(2\/31))\/(x**(-9)\/(x**(-9)\/x)))**(1\/4))**6 assuming x is positive.\nAnswer: x**(375\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -209 - -2955. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3271?\nAnswer: 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m - 207 - 5 - 68 - 478 - 25 to v + a*m and give v.\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78246 is divided by 2173.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4224855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1129, 1926, 4099, 8338, 15333, 25774, 40351?\nAnswer: 59754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -49, -87, -159, -277, -453, -699?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + t - 45 = 0, 3*y - 85*t + 66*t + 639 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -492, -764, -1064, -1398?\nAnswer: -1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/(-12) - (-2)\/(-4). Suppose -1317 = n*v + 531. Let c = 288 - v. What is c rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 4*p - 2. Let o be d(-3). Suppose 3*r = 4*i + 8, 5*i + 3*r - 14 = 3. Let t = i + o. Solve h - t = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u - 1. Let c(l) = -l**3 - 2*l**2 - 1. Let w be c(-2). Let o(y) = 10*y**3 - y**2 + 2*y - 1. What is the remainder when o(1) is divided by q(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 13*a + 60. Let l be 15\/(-4)*a\/25. Sort 3, 0, l in increasing order.\nAnswer: 0, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430\/(-47 - -4)*1\/(0 - 9)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:33 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Let t(l) = 4 - 2*l + l + h*l. Suppose 76*s = 66*s + 20. Calculate t(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w + 0 - 1\/3*w**3 + 1\/2*w**2. Let s be p(-3). Solve -5*y = -15, 4*t - s = y + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/9350 and -1\/155.\nAnswer: 289850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-1)\/(2\/(-36)). Suppose -3*s = 2*j + 2*s - 29, -4*j + r = 2*s. Suppose 271 - 259 = 6*k. Calculate the greatest common divisor of j and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(8\/5)\/h**(-4))**(12\/11)\/((h**0\/h*h**(-4))\/(h*h\/(h\/(h\/(h*h**(-3))))*h*h\/(h**(-4)\/h*h)*h)) assuming h is positive.\nAnswer: h**(1216\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5\/7 + 4*g**4\/7 + 2*g**3\/7.\nAnswer: 2*g**3*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 30 = 32. Let n be ((-3)\/u*16736\/(-264))\/2. Let z = -9457\/176 + n. Find the common denominator of 13\/14 and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144694681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4840\/9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 8*m**3 - m**2 + 4*m - 4. Let u be y(2). Calculate the highest common divisor of 512 and u.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1886778, 3773566, 5660354?\nAnswer: 7547142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 5*f + 20 - 6 + 8.\nAnswer: 5*f + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 2 + 6 - -14. Is 17 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 0*x**5 + 0*x**3 + x**2 - 4*x**4 + 3*x**2 - 4*x**5 + 4*x**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31573068?\nAnswer: 2, 3, 269, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199831?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2347468685, 2347468684, 2347468683?\nAnswer: 2347468682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 0 - 2\/3*o**3 + 6*o + 5\/2*o**2. Let q(u) = 4*u - 5. Let p(n) = -3*q(n) - 2*v(n). What is the first derivative of p(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 1450 = 5*k - 2160, 11*k = -2*p + 161 - 59 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 10*w**2 - 17*w - 12. Let r be q(-8). Let u be 25\/(15\/(-3)) + r. Let n(g) = g**3 + 11*g**2 + 5*g - 9. Is n(u) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0)**(-7\/3))**(-2\/7))**(1\/50) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*v + 45335 = 0, -5*r = -5*v - 76926 + 31606. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1315405 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924*x = -931*x. Let n be 10\/180 - 2\/9. Which is the nearest to 0.1? (a) x (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 7 - (-6 + (-16 - -13))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z - 3*z + 13 - 4 as j + i*z and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Suppose -x + k = -2. Solve x*m - m = -8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 23 + 19 = 2*g, 5*g = 4*x + 45. Which is greater: x or -120\/13?\nAnswer: -120\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, f: 1, e: 2, d: 3, h: 1}. What is prob of sequence df?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlzllblzblzzl. Give prob of picking 1 z, 1 l, and 1 b.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 1194\/7 (b) 60 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4179447*n + 1 - 2 + 1.\nAnswer: -4179447*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 3 - 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2071 + 2071.000000841. Round w to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134142, -268449, -402758, -537069?\nAnswer: -671382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, f: 5, l: 1, h: 5, p: 4}. What is prob of picking 1 f and 1 l?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 1311 = -10*g. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 28.806?\nAnswer: -28.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w**2 - w + 17. Let b(s) = s**2 + s. Let n = 1 - 2. Let h(g) = n*o(g) - 4*b(g). Does 26 divide h(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 279, -4\/1315 in ascending order.\nAnswer: -3, -4\/1315, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:03 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15) + 33\/(-55).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + b - 1)*(3 - 3 - b)*(-280*b - 352*b + 88*b) to the form k*b**3 + s*b + w + z*b**2 and give k.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -379*u - 2053. Calculate j(-8).\nAnswer: 979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*j + 59*j + 21*j + 32*j to o + h*j and give h.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d - 151 = -67 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3969 is divided by 137.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 87, 76?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 + 26*p - 112. What is t(-10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)*t)\/t**(-1\/2)*(t**(1\/2))**(9\/7))\/(t*(t\/t**7*t)\/t*t**(-7))**(-31) assuming t is positive.\nAnswer: t**(-5171\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 7*g**2 + 8*g + 3. Let a be u(-5). Let l(v) = -v**3 + 12*v**2 + 12*v + 21. Let z be l(a). Solve 3*r - 5*r = z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 - -809. Let f = -228 + k. List the prime factors of f.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, q: 1, h: 3, d: 3}. Give prob of sequence wwhh.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 149? (a) -1\/6 (b) -1.3 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**(-13))**(-14)*v*v**(-1)*v*v*v**(-4)*v**(1\/4)*v**(-5) assuming v is positive.\nAnswer: v**(337\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 12:34 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*n + 30628 = -35*n. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 26*h - 25 = -27*h - 37 - 43, -2*h - 54 = 6*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.021 - 0.057. Let z = -21.836 - -18.9. Let h = c - z. Round h to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1 + d - 2*d - 2*d. Is a(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 4263?\nAnswer: 4262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1682 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 23*b**2 - 49*b + 262. Let t be g(-20). Suppose 0 = 5*y - 476 + 126. Calculate the highest common divisor of y and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 150 = 135. Calculate the greatest common factor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4580 is divided by 269.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 944 divided by 2.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -92*z**2 - 93*z**2 + 382*z**2 - 98*z**2 - 101*z**2. Let h(l) = -1458*l**2. Give h(k(v)).\nAnswer: -5832*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 47.\nAnswer: -5\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 15*t**2 + 34*t - 11. Give m(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from sptpzppspzppp?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 360.7421, -4, 3 in increasing order.\nAnswer: -4, 3, 360.7421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d + 2. Let r(t) = t - 3. Let m be r(3). Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**3\/2 - 12*m**2. Let x(o) = o - 1. What is -t(j) - x(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 6:30 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-5\/7))\/v**(-32) assuming v is positive.\nAnswer: v**(226\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 34*u - 33*u + 11, 5*q + 5*u = 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u*u**(21\/5)*u*u)\/u*u)\/u**(-1\/5) assuming u is positive.\nAnswer: u**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -58 - -304687?\nAnswer: 304628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.078 from -26824.76565.\nAnswer: -26824.68765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*y - 6. Let p = -0.012 + 0.412. Which is the closest to p? (a) -2\/7 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+25488666387231\nAnswer: 25488666387230.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -8 + -99 - (-36 + 16 - -33)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-540)*-12 + 8\/45 - 1572\/30.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/9678609 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3406 (base 7) to base 9\nAnswer: -1617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.478217 and 0.06.\nAnswer: 0.32869302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 113591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 4) to base 8\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103130 - -3?\nAnswer: -103122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7473000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a factor of 166615853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.6? (a) 3 (b) -4 (c) 1\/10 (d) -0.5 (e) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1512 + 1520. Solve 166*q = 165*q - u for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 44928.\nAnswer: 44928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 62 (b) 1 (c) 13\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25446 + -25440. What is the least common multiple of m and 782?\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (46014\/5)\/(15\/(600\/16)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(243) + -1 + 5))**2.\nAnswer: 1800*sqrt(3) + 6475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*c - 21*c + 49*c to m*c + p and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j**3 + 20*j**2 + 0 - 20*j**2 - 10 + 8 - 24*j**4 as n*j**2 + m*j + z*j**4 + v + k*j**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 55632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = -4*w - 22, 4*k - 2*w - 150 = 0. Let s = k - 34. Suppose s*c = 53 + 15. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 188*b**3 - 2589*b**3 - 2*b + 4 + 6*b**2 - 3*b**2. Let p be k(2). Round p to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.2302 decades to years.\nAnswer: 232.302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -0.078724136044879?\nAnswer: 0.121275863955121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t**3 + 93*t**3 + t**4 - 255462*t**2 + 254685*t**2 = 0.\nAnswer: -111, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 28756129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 10*i**2 - 5*i + 9. Let c be (-4 - 17\/(-4))*28. Is a(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/7 - 1446*g**3\/7 + 11664*g**2\/7 - 23392*g\/7.\nAnswer: -2*g*(g - 4)**2*(g + 731)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmpm when four letters picked without replacement from {m: 7, p: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*o - 63, -2*o - z = -47 - 4. Solve -25*p + o*p = -3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 + 245*c**2 - 237811*c\/4 - 180570.\nAnswer: -(c - 520)*(c - 463)*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4072?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 1 = j, j = 181*m - 176*m + 6*j - 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + d + 1. Let m(b) = -10*b**2 - 13*b - 4. Let j(k) = -4*h(k) - m(k). What is the second derivative of j(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**4 + 29*t**3. Let o(y) = -y**4 + 10*y**3. Let z(v) = 6*f(v) - 17*o(v). Factor z(w).\nAnswer: -w**3*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11179922 divided by 1?\nAnswer: 11179922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3360375023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -10. Let n be m + -1 + -3 + 13. Let r be (-2)\/n + 80\/25. Solve -g + r = -2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 o when three letters picked without replacement from nnvobbbvnndbbodbno.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950561 is divided by 876.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2598632*m**3 + 24145417*m**2 wrt m?\nAnswer: 15591792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*k - 5*k - 135, 0 = 4*f - 2*k - 262. Suppose 16*l = 21*l - f. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-18)\/6 - -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 10957 - 10345. Calculate the highest common factor of 1122 and x.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3651?\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 18 = -3*g - 2*s, -g + 11 = s. Let j(v) = -3*v**3 + 10 + 6*v**3 - g + v**3 - 2*v. Calculate the least common multiple of 27 and j(1).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*h - 6*h + 4*f, -3*f - 9 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.4 + -42127391623.\nAnswer: -42127391616.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 96*l + 857. Give t(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3*(-15)\/(8\/(-8)). Suppose -k*f = -5*v + 8 + 32, 36 = -4*f + 5*v. What is the third biggest value in -4\/5, f, 1\/10, 2\/21?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4426425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.6 in 8, 5\/4, 10498?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 81600199 and -5?\nAnswer: 81600204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.9083 - -20.9. Round b to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/44 and 37\/56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 375018954.06413 + 0.5.\nAnswer: 375018954.56413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 times -50334?\nAnswer: 6845424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 21*j**2 + 13*j + 21. Let s be z(10). Let t be (s\/(-36) - (-12)\/16)*-3. Factor 2\/7*g + 2\/7*g**t + 0.\nAnswer: 2*g*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191 - -190.99999736. What is g rounded to seven decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 13. Let o = 131 + -126. Suppose -12 = 5*b - 7*b + 5*h, 4*b + o*h = 54. Calculate x(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 307\/5 + (90\/(-25))\/9. Suppose 0 = l*w - 57*w - 8. Suppose 16 = w*m - 2. Solve 4*t - 10 = m*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.990502 minutes?\nAnswer: 479430120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -492 - -727. Suppose 4*c = -2*s + 262, 0 = 5*c - 3*c + 8. Suppose s = 11*b - 48. What is the remainder when m is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1045913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3504.8 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 2, p: 4, s: 3, c: 1}. What is prob of sequence vpvs?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 12 = -3*a. Let u = 10 + a. Calculate the least common multiple of 8 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/15))\/(y*y**(-4)\/y)*y**(-9)*((y\/y**(3\/7))\/y)\/y*y assuming y is positive.\nAnswer: y**(-451\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 10*o - 4)*(0*o**2 - 2*o**2 - o**2) + (-50*o**2 + 54*o**2 - 34*o**2)*(-3*o + 2*o + 2*o).\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-224)\/48*15\/(-1) and 3?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -310.089 + 310.4. What is r rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13533, 13530, 13527, 13524?\nAnswer: 13521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s + 3*s + 62 - 69*s - 62 - 2*s - 3 + 3 + s + 2*s - s + (s + s + 0*s)*(-1 + 2 + 0).\nAnswer: -64*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13*u + 2. Give k(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + -2.06. Let j be (-3)\/(-28) + 16\/(-64). Let c = 3.98 - -0.02. Put c, g, j in descending order.\nAnswer: c, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**5 + 3*u**5 + u**5 + (-27*u**4 + 23*u**4 + 44*u**4)*(-32*u - 15*u + 9*u).\nAnswer: -1522*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -19*r + 2. Let n be q(-1). Solve -5*b + n = -4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4379*o = 6*c - 4382*o, 4*c + 2*o = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:41 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*n - 60 = -137*n + 209*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 4:52 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 16*v - 10. Let n be k(8). Let i = -96 + n. Let l = i - 34. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -554143 (base 9) in base 6?\nAnswer: -11032450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 187*q**5 - q**4 + 1392*q**2 - 619*q - 722 wrt q?\nAnswer: 3740*q**3 - 12*q**2 + 2784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 0 + 0)*(4 + 1 - 2)*(-3*d**3 + 2*d**3 - d**3) - 58*d + 31*d**3 + 58*d.\nAnswer: 103*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*q + 42 - 25. Is -3\/44 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31002.717 - -30989. Let c = p - -13.8. Round c to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, 2, -6, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*o = 26, 3*u + 13 = -2*o - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1614078, -3228154, -4842230, -6456306, -8070382?\n\"Answer: -1614076*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*a + 2 = -2, -2*p - 2*a = -2. Suppose -3*v + 82 = -5*m + 15, 2*v + 3*m + 6 = 0. Put v, 0, p in decreasing order.\nAnswer: v, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 4*u**2 + u**2 - 2*u**3.\nAnswer: -2*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31536668902 - -2713\nAnswer: -31536666189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**5\/210 + 8*c**4\/21 + 52*c**3\/7 + 652*c**2. Let o(h) = 0. Calculate h.\nAnswer: -26, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 1359*c - 386370.\nAnswer: -(c + 405)*(c + 954)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4762021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49737020 rounded to the nearest ten thousand?\nAnswer: 49740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*l**4 - 232114*l**3 - l**2 - 36106*l - 14.\nAnswer: -1584*l - 1392684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327 = -73*r + 92*r + 99 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/63)\/((-4)\/360) - (-12 - -4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 18*p + p)*(-79*p**4 + 7 - 2 + 78*p**4).\nAnswer: -18*p**5 + 90*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1323 + -1002123?\nAnswer: -1000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -438327, -876656, -1314985?\n\"Answer: -438329*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*106.\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3625628 to the nearest integer?\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 316 by -79.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1697424784?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-2)\/20*(-42)\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/96 - 282502\/(-528). Suppose 0 = c - 3*c + 12. Suppose k + x = c*k. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 43*b + 131. Give g(45).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373670 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*o + 72, 15*o + r = 13*o + 48. Calculate the lowest common multiple of o and 138.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 525*h.\nAnswer: 3*h*(h + 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 84 - 69 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.2797 and -3?\nAnswer: -12.8391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.3. Let z = 5.2 - -1. Let b = -6 + z. Sort r, b, -0.3 in decreasing order.\nAnswer: b, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796961203.\nAnswer: 59, 631, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10506\/4017)\/((-10)\/65).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 6*t + 1. Let f be (-60)\/(-4)*4\/(-10). Let q be y(f). Let h = -1.013 - -0.013. Which is the closest to h? (a) q (b) 0 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n**5*n*n*n)\/n*n*n\/(n*n*((n\/n**(3\/2))\/n)\/n*n*n)*n**(-1\/9)\/(n**(-3\/5)*n)*n*n**(4\/3)*n\/n**0*n**(-2\/5)*n**2*n assuming n is positive.\nAnswer: n**(1253\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2551 (b) 1.068 (c) 0.2 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 25*b**2 - 6997*b + 1270. Determine j(97).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 2 = 138. What is the smallest common multiple of (-34)\/(-6) - 3\/(-9) and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*x**3 + 169*x**3 + 2*x - 2*x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 29841 = -3*j, 5*h + 6*j - 49743 = 3*j. What are the prime factors of h?\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (5*(3 + sqrt(833) + sqrt(833) + -4 - (3 + sqrt(833) + sqrt(833) + sqrt(833) + 2)) + 0)**2).\nAnswer: -65181 - 6300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -565*a - 315. What is the units digit of m(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 7*p**2 + 9*p - 8. Suppose -2*q + 95 = -7*q. Let h be (q - -33)\/(2 + 0). What is the tens digit of r(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 11) to base 3.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 836112 + 10 - 6\/2. Suppose 28881 = 5*u - c. What is u rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3472.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-270)*-18*5. Solve -5*g + 4*m - 14 = 3*m, -f = g + 5*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 12*z + 5. Let h(i) = -8*i - 6. Give 5*h(w) + 4*v(w).\nAnswer: 8*w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 209291245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 0. Let x be 3 + o + 0 + 2000001. Round x to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1067.5 + 1067. What is the fourth biggest value in 1\/12, 1\/5, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798 is divided by 217?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -1, -447, -2\/81?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 10) in base 16?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -106640 divided by -155?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.002 - -23.002. Let j = 289332942.00000132 - 289332965. Let n = j + o. What is n rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from {o: 1, c: 1, s: 2, h: 1, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - -1000001?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 7*o**2 - 170*o - 735. Determine a(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 7:55 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*v - 4. What is the units digit of v\/11 - 114\/(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72412*b**2 - b*u + 5*u - 4451 wrt b.\nAnswer: -144824*b - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*s - 4 = -s, 3*s = -4*x - 6. Let p be (-6)\/33 - (-6)\/22. Which is the closest to x? (a) -4 (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-3))**(-6) assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4664, 9332, 14012, 18710, 23432?\n\"Answer: c**3 + 4661*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101111110010 + -11?\nAnswer: 10001101111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -18 - 10 + 8*d + 22. Is h(6) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**2 + 2*u. Let b(z) = -153*z**2 + 45*z. Give 4*b(o) - 90*v(o).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6992719 millilitres?\nAnswer: 0.0006992719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78516.\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 27*f - 34. Let n be k(20). Let b = -107 + n. What is the highest common factor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129221.\nAnswer: 129221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2240, 2238, 2236?\nAnswer: 2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 1.20578109.\nAnswer: -3.20578109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5995 + 0.2.\nAnswer: 0.7995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2929 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15839 by 8278.\nAnswer: -15839\/8278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 19*u**2 - 8. Let p(n) = -39*n - 38*n + n**2 + 77*n. Determine q(p(y)).\nAnswer: 19*y**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + -1 + (3*sqrt(13)*-2)**2 + -2.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/50)\/(2\/(-10)*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/11)*f*f**(-8)*(f**13*f)\/f**34 assuming f is positive.\nAnswer: f**(-299\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*d + 4 = 49*d. What is the tens digit of d\/4 + (1 - -35*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 9 = -3*w + 1 + 10, -3*w + 8 = 4*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 15 = c. Let y = c - -72. Suppose 0 = -3*n + 3*x + y, 2*n - x + 5*x - 38 = 0. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-5) + (-5)\/(75\/(-18)) - -305314 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16 = 4*w, -w + 25 - 8 = 4*t. Solve -5*b = -p - 5, 2*b + 5*p = t*p + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20033867 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 + -1.9. Let f be (-30)\/12*(1 - -1). Let n be (8\/(-50))\/((-2)\/f). Sort w, n, 0.1 in decreasing order.\nAnswer: w, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s - 5. What are the prime factors of s\/(-1 + (-15)\/(-12))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 35. Suppose -4*m = -3*m - t. Let w = 47 - m. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 + 3 - (-3 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33013 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/8 and 113\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*p - 90. Let z(r) = r**2 - 2*r + 4. Let m be z(3). Suppose m*s - 5*s - 24 = 0. Calculate the greatest common factor of s and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33567?\nAnswer: 3, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 8*l + 2. Let z = -4 - -8. List the prime factors of d(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54924 divided by 3\nAnswer: 18308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -626104*p**4 - 37*p**2 - 118 wrt p?\nAnswer: -15026496*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/(1*2\/64). What is the derivative of -14 - 4*v**4 - 1 - c*v + 411*v wrt v?\nAnswer: -16*v**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110011 (base 2) in base 8?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15770.213 - 0.4?\nAnswer: 15769.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 - 36*z**4 - 56*z**3 + 144*z**2 + 160*z = 0 for z.\nAnswer: -2, -1, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = 5*m + 33. Let q = m + 57. Solve -z = z + q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24434 - -24458. Calculate the smallest common multiple of l and 18249.\nAnswer: 145992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from mmvuvvv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5708677 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 4, -0.07, -6.\nAnswer: -6, -0.07, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + l + 3*l)*(3259 - 3259 - 39*l) to the form r*l**2 + h + g*l and give r.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*c + 113 - 37 = 0, -2*c + 8 = 0. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*n**4 - 10355*n**3 + 10955*n**2 + 695*n - 1370 = 0. Calculate n.\nAnswer: -1\/3, 2\/5, 1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 466, 603, 824, 1123, 1494, 1931, 2428?\nAnswer: 2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390, 375, 336, 261, 138, -45?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6077 divided by -9671.\nAnswer: -6077\/9671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 1)*(-4)\/5. Let u = a + 2. Factor u*b**3 + 0*b + 2\/5*b**2 + 0.\nAnswer: 2*b**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2. Let h(a) be the third derivative of -a**7\/420 + 13*a**4\/24 - 12*a**2. Let p(z) be the second derivative of h(z). Calculate b(p(m)).\nAnswer: -108*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62325771 and 54?\nAnswer: 1121863878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-15)\/(-25)*-140. Suppose 4*n = -4*n - w. Let j = n - -37. Calculate the greatest common factor of 128 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 1. Suppose -h = -g - 4*g. Suppose -3*w = 11 - 2. Sort w, g, -5 in increasing order.\nAnswer: -5, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4940352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 210*t**2 - 13*t - 43. Let c be b(-3). Let d = c - -10614. Round d to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1478, 11793, 39816, 94409, 184434, 318753?\n\"Answer: 1477*j**3 - 8*j**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 8793\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6754 and -2760.7395.\nAnswer: -9514.7395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 6.328816 * -2\nAnswer: -12.657632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Suppose 3*t - 21 = -2*l, 6*t = 3*t - b*l + 24. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3*-45*12\/(-360)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10430 (base 8) to base 4\nAnswer: 1010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-8860)\/8*-2. Let k = 17805\/8 + z. What is the common denominator of k and -133\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -11*k**2. Let p(d) = 9908791*d. Determine c(p(v)).\nAnswer: -1080025529898491*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Let b = 1 + -3. Let m be z(b). Factor 2*a**2 - a**4 + 2*a - 3*a - a**m + a**3.\nAnswer: -a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + z**2 + z. Let f be j(-1). What is the units digit of (18\/3)\/f + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 321839\/855 - 277\/171. Let v = a + -375. Put v, 24\/13, -0.5 in descending order.\nAnswer: 24\/13, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/359 and -9095\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) + 23\/7. Suppose 12 = -p + 17. Let i = p - 2. What is the highest common divisor of u and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccyccyccccyccccc. Give prob of picking 2 y and 2 c.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*q - 152*q - 49 + 49.\nAnswer: 55*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*x**4 - 84*b**2 + 12*b*x**5 + 3*x wrt x.\nAnswer: -12*b**2*x**2 + 240*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.9, 46, 438 in ascending order.\nAnswer: 4.9, 46, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1110)\/(-1548) - 12\/9 and -79\/18?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1758 + -1755. Suppose -r*h - 19 + 16 = 3*d, -4*d - 18 = -3*h. Factor -4\/3*m**h + 0 - 8\/3*m.\nAnswer: -4*m*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.03\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25.24648 millennia?\nAnswer: 2524.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - -9.95. Let q = -20.5 + 4.7. Let w = q + t. What is w rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from qxqxxxqxxxxmxxmxxx.\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 85. Calculate the greatest common divisor of 60 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25364*z**3 - z - 25364*z**3 - 875 - 1480*z**4 wrt z.\nAnswer: -17760*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t - 78. Let g be j(23). Suppose 3*u - 35 = -4*v + 155, u = -2*v + g. Suppose -2*h + u = 68. Sort h, -1, 4 in descending order.\nAnswer: 4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**4 + 206499*a**3 + 3554621943*a**2 + 39079574781*a + 63942313734 = 0.\nAnswer: -34411, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Let z = -70.436 - -69.936. What is the third biggest value in z, -0.1, l, -9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3567 - 2622. Does 45 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -4, 23, -1, -34?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*k = 10, 4*k + 34 = -2*m + 8. Let f(c) = -276*c**2 - 10*c - 10. Let q be f(m). Round q to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - s = 15, 3*s + 15 = 6*r - 4*r. Solve -5*t = g - r*g, -5*g = -3*t - 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117266713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.103 - -2.503. Which is the third smallest value? (a) h (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 77946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-234)\/(-63)*70\/(-60).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 190 = -5*j, -3*l - 136 = j - 16. Let o = l + 43. Suppose 2*a = 5*i - o, 0 = i + 2*i - 5*a - 5. Solve -4*x + 14 + 2 = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 6. Let q = v - 0.99. Let k = -0.11 + q. Which is the nearest to 1? (a) k (b) -1\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-1 - 26)) + -1. Let a = -32 - -22. Let w(y) = -y**3 - 10*y**2 - 3*y + 9. Let m be w(a). What is the greatest common factor of m and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 135 - -1?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*k**3 - 17*k**3 - 3*k - 6*k**2 + 0*k + k to the form c*k**3 + x*k**2 + f*k + a and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - 0) + (-258 - -277)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 153 + -82. Suppose 0*g - 5*g = -2*p - y, -2*g - 3*p = -17. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2, -5, 17.2, 1\/5 in decreasing order.\nAnswer: 17.2, 1\/5, -0.1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -23*x**3 - 391*x**2 + x + 105. What is o(-17)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from {l: 2, r: 2, j: 2, a: 1, w: 1, i: 12}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -218.11 and 26.81455.\nAnswer: -191.29545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 11\/667?\nAnswer: 11\/667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/96, 0.139, 30, 2\/9, -0.22?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 6\/7, -4\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18077328 take away -0.1?\nAnswer: -18077327.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654809315.\nAnswer: 5, 17, 7703639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 + -2 + -23 + 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -288, -10 in decreasing order.\nAnswer: 6, 0, -10, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 + 2*d**3 - 2*d**3)*(-d + 1 - 1 + (4 - 2*d - 4)*(-4 + 2 + 0)).\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -10*f - 73. Let r be q(-8). Suppose 23 - r = -4*w. Let l(p) = -4*p + 3. Determine l(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41481595?\nAnswer: 5, 431, 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 28\/(-20)*-5. Solve -3*f - 5*f + c = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, 5, 13 in ascending order.\nAnswer: 0.4, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 94490 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t + 5*t)*(-20 - 11 + 14).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-267)\/(-45))*(4 - 7)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-426)\/(-71) + (-10 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxi when three letters picked without replacement from {q: 1, i: 4, a: 1, x: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -702, -697, -688, -675, -658, -637?\n\"Answer: 2*s**2 - s - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 56. Suppose 2 = 3*w - 4*w, 4*w - 331 = -3*r. What is the remainder when r is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - u**2 + 7*u + 2. Let v = 1334 + -1317. What is the remainder when x(-5) is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1788144102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6132 and 168.\nAnswer: 12264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 223*b + 13867. Is y(55) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58, 685, 2284, 5341, 10342?\n\"Answer: 81*j**3 + 60*j - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(252)*3.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454096343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1081*a**3 + 524*a**3 + 536*a**3 + (-3 + 4 + 4)*(a**3 - a**3 - 2*a**3).\nAnswer: -31*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 11. Let m be f(-12). Let b = -21 - m. What is the smallest common multiple of 1 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2108, -2074, -2028, -1964, -1876?\nAnswer: -1758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 12 = 3*a - 6, 4*a - 4*g - 24 = 0. Let h be (3 - a)\/(6\/(-10)). Solve 3*l - 1 = h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyh when three letters picked without replacement from uyfyqyhhfyfyc.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 35097?\nAnswer: 35108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -237, -1560, -5161, -12180, -23757?\n\"Answer: -190*z**3 + z**2 + 4*z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 + 3.5. Let k = -11.8 - -12. What is the smallest value in -1\/10, b, k?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*3)**2 + 3 - (-3 + 4 + sqrt(539)).\nAnswer: -7*sqrt(11) + 4853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-2*sqrt(500) + sqrt(5)) + (sqrt(96) - 2*sqrt(96))\/sqrt(8).\nAnswer: -39*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 + 1) - (49 - 50)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - w + 0*w**3 - 7*w**3 + (0 + 1 + 2)*(2*w**3 - 6*w**3 + 3*w**3) - 2*w**3 + 0*w**3 + 3*w**3 to x*w**2 + y + q*w + g*w**3 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n**2 + 3*n + 27. Let w(q) = q**2 - q. Give -j(r) - 6*w(r).\nAnswer: 2*r**2 + 3*r - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 3*q - 3*q)*(221*q**2 - 221*q**2 + 17*q**3).\nAnswer: 17*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38.3 + -5.3. Let j = a - 29. What is the third biggest value in 1\/5, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23661 is divided by 1478.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 5 + 3*q + 7. Let v be y(-1). Suppose 0 = -v*c - 2*c + 12. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46 * -13.9.\nAnswer: -639.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/4795 + 234932\/110285. What is the common denominator of p and -31\/8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154262 and 117104?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 245059519 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -51591.4.\nAnswer: -51591.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 7*g**2 - 9*g - 3. Let z be f(3). Find the second derivative of 11*i**2 + 15 - 3*i - 4 + 11*i**2 - z wrt i.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - -8) + -103 + 101?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(5)*-3 + -3) - (3 + sqrt(5) + sqrt(720)*-4))**2.\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2\/6 + 3847*o\/2 - 11543\/3 = 0.\nAnswer: -11543, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 2*v - 2*v + v + 2*v + 3*v + v - 2*v + 0*v + (0*v + 0*v + 2*v)*(0 + 10 - 2) - 4*v + 2*v + 3*v + 2*v + 0 + 0.\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 93400 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11941254 - 1996179. Suppose 4*b - 3*h = 13260100, -b = 2*b + 3*h - n. Let w = b + -2215025. Round w to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 40 - 24 = 0. Suppose 3*p = 4*s + 7, 2*s - p = 2*p - 11. Calculate the least common multiple of a and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(sqrt(500) + sqrt(500)*-3))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2352 + -2324. What is the smallest common multiple of 676 and a?\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 467820 and 1035.\nAnswer: 467820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202221220002 (base 3) in base 12?\nAnswer: 809462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2417 or -2416?\nAnswer: -2417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - r + 3. Let m(v) be the third derivative of v**5\/60 + v**3\/6 - 13*v**2. Let a(d) = -2*m(d) + s(d). What is a(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -163*l**2 + 514*l - 47. Let h be x(3). Let j(i) = -57*i - 1. Let b be j(-1). Calculate the highest common factor of b and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*u - 175*u = -5501. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.228483324 + -0.2285. What is b rounded to 7 decimal places?\nAnswer: -0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**29*m**(9\/4))\/((m*m\/(m*m\/(m**(3\/11)\/m)*m)*m)\/((m\/(((m*(m\/m**(-1\/33))\/m)\/m)\/m))\/m)) assuming m is positive.\nAnswer: m**(4349\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b - 0. Suppose -m - d - 3 = 0, m - 3*d - 2*d - 9 = 0. What is the third smallest value in 0.2, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (582\/(-34) - ((-68)\/136)\/(2\/28))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (160 - 8 + 33 + (2 - 3 + 0)*(-4 + 2 + 1))*(-170 + 170 + 7*k + (-3 + 1 + 1)*(3*k + 0*k - k)) to the form o*k + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9200?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*u + 119, -4*q + 46 = -u - 55. Let y be (-4323)\/39 + (-4)\/q. Does 11 divide (3 - 1) + y\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 29*o = -26*o - 225, -16*x = -19*x + 104*o - 7895 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 8*j + 11. Let k be f(6). Let a = k + 516. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 6*v + 25 - 3*v.\nAnswer: 6*v + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4 - 21006*t**3 + 126108*t**2 - 252264*t + 168192 = 0.\nAnswer: -7008, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 7. Let a be k(-5). Let j be (-4)\/a - (-20)\/5. Let h(t) = 4*t - j*t - 3*t - 7*t. Give h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12155 (base 7) to base 8.\nAnswer: -6150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.19, 45, -3.39, 0.3, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) + sqrt(187) + sqrt(187)*-1)*2)\/(sqrt(132)\/sqrt(3)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**6\/40 + q**5\/20 - q**4\/2 - 2*q**3 + 7*q**2\/2 + 11. Let s(d) be the second derivative of f(d). Factor s(p).\nAnswer: 3*(p - 2)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 1. Let h be ((-32)\/(-12))\/(2\/(-3)). Let a(f) = -3 + 4 + 22*f**3 + 14*f**3 - 30*f**3. Calculate h*i(c) - a(c).\nAnswer: -2*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22.669596 - -0.029404. Let v = -0.301 - c. Which is greater: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-190)\/152)\/(49\/(-616)*5)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.5, 0, -253.78?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/9))**(-47)*u\/(u\/((u**(-24)*u*u*u*u)\/u))*u**2\/u assuming u is positive.\nAnswer: u**(-227\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let h(j) = -3*j - 1. Let l(d) = -h(d) + 2*m(d). What is l(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 72*m**2 + 267*m + 4142. Let f be t(-69). Factor 9\/2*x + 9\/2*x**3 + 12*x**f - 3.\nAnswer: 3*(x + 1)*(x + 2)*(3*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. What is the second derivative of -2*x**n + 4*x - 10*x + 3*x + 5*x wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3525)\/175*(10 + -633).\nAnswer: 3, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 73*l**2 - 688*l + 60. What is the units digit of b(-76)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02367433802269 - -5.\nAnswer: 4.97632566197731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846 = 5*p + 291. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 23834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 7703*j**3 - 254925*j**2 + 2806837*j - 10296616.\nAnswer: (j - 11)**3*(j + 7736)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2))**(-17))**(-9\/5) assuming u is positive.\nAnswer: u**(153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1172*y**3 - 3*y**2 - 199*y + 633. What are the prime factors of z(3)?\nAnswer: 3, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2052*f**3*g**2*u - 30*f**3*g*u**2 + 11240*f**2*g*u**2 + 3*f**2*u**2 - f*g + f*u**2 + 138544*g**2*u**2 wrt g?\nAnswer: -4104*f**3*u + 277088*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-6))\/(1236\/(-306) + 4). Let a = u + 55. Suppose -4*w + 5*z + 37 = 0, -w = -2*w + 2*z + 13. Solve 0*s + a = -w*x - 3*s, -3*s = 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 8508?\nAnswer: 8507.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 52881*i**3 + 699073599*i**2 + 699126481*i.\nAnswer: i*(i - 26441)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3066799?\nAnswer: 31, 98929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17041 rounded to three dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40742 + 78292. Does 106 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 22*j. Let z = -48 + 49. Let l be c(z). Calculate the greatest common factor of l and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84672 divided by 4704.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f - 2. Let w be j(2). Let v(s) = 3*s + 13. Let m be v(12). Let o = 175 - m. Calculate the highest common divisor of o and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2071 + -18625\/9. Suppose -5*y + y - 3*m = -7, 4*y + 4*m - 8 = 0. Is y at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -5. Suppose 39*u - 40*u = -3. Let m be (-132)\/z + (-9)\/u. Solve 0 = 2*v - 4*y - m, 4*v = 2*v - 4*y - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < 10\/649691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 157, 0, -61.\nAnswer: -61, -5, 0, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 92143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.8059 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**2 - 17*m + 26. Let l be c(2). Calculate the greatest common factor of l and 12152.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 1\/3*u**4 + 3\/5*u**3 + 3\/50*u**5 + 0 + 2\/5*u**2 - u. Suppose z(j) = 0. What is j?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162*(-432)\/1512*7\/6?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*u - r + 12, r - 2 = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -4 (b) -1037 (c) 3 (d) 5 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i - 15. Let f be (-1)\/((-2)\/(-14)) + 1. What are the prime factors of g(f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 496931\/63 + -7888. Find the common denominator of f and (-5 + (-19)\/(-4))*936\/(-112).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -13890*j - 10. Suppose 50 = u + 4*u. Let i(r) = r**3 - 11*r**2 + 8*r + 11. Let m be i(u). Let y be k(m). What is y rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 25?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u + 2. Let m = u - -17. Let l(c) = 20*c - m*c - 4*c. Let s(f) = 2*f. Give s(l(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/7630 and 49\/30.\nAnswer: 22890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + 0*z**2 - z**2 + (-8*z - 20*z + 15*z)*(-z - 2*z + 2*z) + (-1 + 1 + 2*z)*(-2*z + 0*z + 0*z) in the form g*z + l + d*z**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(2*sqrt(7)) + sqrt(24)\/(sqrt(8)*3))*-3.\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-2))\/(5\/(-70)). Let r(x) = -h - 24 + 9*x + 52. Let u(n) = -n. Give r(u(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p. Let s(l) = 52*l + 18 + 15 + 172*l - 33. Calculate s(a(f)).\nAnswer: 2240*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 74 + 233 = 0. Let x = s + 81. 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: What is (55\/(-99))\/((-12)\/18)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 711653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 933 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z - 6. Suppose -31 = -2*n + 5*n - 4*g, -17 = 5*n + 2*g. Let t(m) = 7*m + 4. What is n*l(a) - 7*t(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -1, 1, 2 in decreasing order.\nAnswer: 24, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 divided by 6.\nAnswer: 113\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**4 + y**3 - y**2 + y. Let d(l) = 16*l**4 + 8*l**3 - 8*l**2 + 10*l. Let w(z) = 8*a(z) - d(z). Find the second derivative of w(t) wrt t.\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3367345979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -901 take away -9?\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -15*u**2 - 893*u + 322. What is a(-60)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1094*f + 2321. What is the units digit of c(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + j**2 - j + 4. Let w be k(0). Suppose 4 = -4*g + 3*y, 5*g - 24 = g - w*y. Let d = -3 + 2.8. Which is the closest to 0? (a) d (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g. Let i(l) = -4*l. Let v(r) = -r. Let c(h) = -3*i(h) + 6*v(h). Give c(a(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -90435998\nAnswer: 90435993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43630.\nAnswer: 2, 5, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2*p**3*y + 59*d**2*p**2*y + 3*d**2*p + 283*p**3*y + 3*p**3 - p**2 wrt p.\nAnswer: -12*d**2*y + 1698*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (15 - -23) + -15 - ((-1 - -4) + -9)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11094 * 0.4\nAnswer: 4437.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*u**3 - 4\/7*u + 0*u**2 + 0.\nAnswer: u*(u - 2)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**5\/5 + 54828*u**4\/5 + 752787338*u**3\/5 + 34538845264*u**2\/5 + 363850293261*u\/5 - 399141980692\/5 = 0.\nAnswer: -27391, -28, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4439084870 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2 - 9*o - 8. Let c(s) = s**2 + s + 1. Let b(v) = -a(v) - 5*c(v). Suppose 3*j - 4*d - 32 = 0, -3*j - 3*d = 2*j - 5. Determine b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 778.1 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3848329129?\nAnswer: 167, 23043887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 + -41)*3\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6688934 or -6688930?\nAnswer: -6688934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -6. Let a be (-14)\/(-6) + (-3)\/9. Suppose 3*b - 57 = -4*t, 0*b - 4*t = -a*b + 18. Solve -d - b = -n*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2 + 10*c - 2*c**2 - 2*c - 7*c + c**3 - 5*c. Let p(d) = d**3 - d - 1. Calculate -2*p(i) + v(i).\nAnswer: -i**3 - 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v - 55. Let n be r(-7). Let p be 22\/14 - (0 + 2). Which is bigger: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3))**(13\/2)*b**(-8)\/(b**(-1\/2)*b))**39 assuming b is positive.\nAnswer: b**(-1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 10 = -5*w, -7*w = 2*t - 2*w + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 20*h = 16. Find the third derivative of 9*x**2 - 4 + h - 5*x**5 - 6*x**5 wrt x.\nAnswer: -660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*w - 25 = 0, -2*a - 10*w = -5*w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v. Let y be 1*2 + (1 - -1). Suppose y*q - 10 = -q. Let h(k) = 2 - 2*k**q - 2. What is g(h(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-5\/6))\/q*(q\/(q**(-8)\/q))\/q)**(-35) assuming q is positive.\nAnswer: q**(-1715\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 0*y**2 + 1\/12*y**4 - 2*y + 0 + 0*y**3. Let r(u) = -2*u - 1 - 4 + 5. What is z(r(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.46 and 1.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 1, l: 11, m: 4}. Give prob of picking 1 l and 1 s.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**4 + 155*d**3 + 15*d**2 - 455*d - 310 = 0.\nAnswer: -1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10000011101111101?\nAnswer: 10000011101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 287*x**2 + 41*x + 39. What is the remainder when j(-1) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*sqrt(2200)*-2)\/(-6*sqrt(128)*-1))**2.\nAnswer: 347\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9679, -38761, -87221, -155059, -242275?\nAnswer: -348869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -505702, -505721, -505754, -505801, -505862, -505937, -506026?\nAnswer: -506129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -15*m + 3. Let o(k) = -74*k + 16. What is -2*o(l) + 11*u(l)?\nAnswer: -17*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001908 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25 - 19*y**5 - 25 + (8*y**2 - 9*y**2 + 15*y**2)*(y**3 - 3 + 3).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (1 - 2) + -8. Let i be (j - 3)*2\/(-4). Let t(l) = -l**2 + 4*l + 7. Let v be t(i). Solve -f = h - 5, 3*f - 6*h - 8 = -v*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120345 divided by 120345\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1)\/((-1 - -2) + 89\/((-85618)\/858))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z + 3*z**3 + z**3 - 5*z**3 + 2 in the form t + n*z**2 + w*z**3 + v*z and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3496 - 20.8596. Let a = j + 0.51. Let u = -19.99999994 - a. What is u rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*4*(-92)\/368.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)\/((s\/(s*s**(-5)))\/s*s*s))\/(s**(1\/8)\/s*s*s*s**(-2)) assuming s is positive.\nAnswer: s**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 238 - v**4 - 238)*(11 + 91*v - 11) + (3*v + 0*v - v)*(2*v**2 + v**4 - 7 + 7).\nAnswer: -89*v**5 - 273*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkerdbddkodokdk. Give prob of sequence rok.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1959 and -1.7.\nAnswer: 3330.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -33391556 rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, w: 5, i: 2}. Give prob of sequence mw.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -424336 divided by 2?\nAnswer: -212168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 19*g**3 - 131*g**2 - 14*g - 8. Let n(s) = 12*s**3 - 87*s**2 - 9*s - 5. Determine 8*n(z) - 5*p(z).\nAnswer: z**3 - 41*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -18, -0.3, 4, -9.04 in descending order.\nAnswer: 4, -0.3, -4\/3, -9.04, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 11*v + 11. Let f be h(-6). Solve -3*g + f = 2*r, -5*g - 1 = -8*r + 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-27) + (-5365)\/(-45) + -2 is divided by 100.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8 + 7 + (2 - -27)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*n**3*q - 350*n**3 - 754*n*q - 24*n wrt n?\nAnswer: -66*n*q - 2100*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -34*y**2 - 3*y + 12. Let o(l) = 3*l**2 - 2*l + 10. Calculate -4*k(x) + 5*o(x).\nAnswer: 151*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 5, 34, 2, -1, -3.\nAnswer: -3, -1, 0, 1, 2, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*d + 2*d. Find the third derivative of -4*y**6 + 2*y**d + 10*y**2 - 5*y**2 wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 1:04 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*f + 2, -v + 2*v + 12 = -4*f. Put 3, 1\/5, v in ascending order.\nAnswer: v, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5258569*f**3 - 2688960*f**2.\nAnswer: 31551414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*r = 871*r + 43211 - 10711 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283.19998677 + -283.2. What is s rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(2*sqrt(4) - sqrt(4)) - sqrt(22) - (5*sqrt(198))\/sqrt(9))\/(((sqrt(144)*1)\/sqrt(8))\/(sqrt(9)*-1*-4)).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 4*v - 292. Determine u(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3965760 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47404 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -17 + 3*z + 6 + 4 - 11. Let v be (66\/(-55))\/((-6)\/40). Let c be n(v). Solve -7 = -j - c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-2 - 1 + 1)*(-5*k - 2 + 2) + (2 - 6 + 2)*(k + 2*k - 4*k).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -349*b + 3494. Determine a(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -4. Suppose 4*b = x*l - 167, -2*l = -l + 4*b - 19. Suppose 77 - 4 = 4*p + 5*f, -3*f - l = -p. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10*m**2 - 9. Let c(o) = -15*o**2 - 13. Suppose 11*h + 57 = 2. Give h*c(n) + 7*f(n).\nAnswer: 5*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1143 = -47*q + 56*q. Suppose 0 = 13*p - q + 75. Solve 0 = 3*b + 2*r + 14, -b + 4*r + 22 = -p*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 161 + -6b8?\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-99)\/(-2)) + 1\/(-66)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4\/5*h**2 + 264\/5 - 28*h = 0.\nAnswer: 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (6 - (1 - -2)). Suppose -m + 2 = 4*s - 25, -m + 3 = -x*s. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1140911?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/3 (b) -3 (c) 0 (d) -103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 1. Let k be u(0). Let c(h) = -11*h - 9. Let d be c(6). Let f be ((-45)\/d)\/(k\/(-10)). Solve l - f*l = 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 138*y + 138*y - 108*y**3 + 2*y**3 in the form n*y**2 + z*y + i + t*y**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987 = -255*x + 3282 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 1. Let l(o) = -3*o - 2. Suppose 2*q = f + 6, -5*q + 5*f + 8 = -7. Let h be (-4 + 10\/q)\/((-1)\/(-6)). Determine h*t(w) + l(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 458*m**2 - 40. Let o(y) = -y**2 - 5. Give 5*b(u) - 40*o(u).\nAnswer: 2330*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.4250624 seconds?\nAnswer: 0.02375104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23092? (a) 3 (b) -0.1 (c) -10\/27 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 15 - 3 = -3*r, 0 = r + 2*q + 4. Let x be (-2 + -4)\/(6\/r). Solve 2*n**x - 2*n**5 + 6*n**5 - n**5 - 4*n**5 = 0 for n.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + 0*g**3 + 2*g**4 + (-3*g**3 - 2*g**3 + 4*g**3)*(-5*g + g + 2*g) + g**4 + 4*g**4 - 4*g**4 + 11*g**3 - 345*g**4 + 65*g**3 - 78*g**3.\nAnswer: -340*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15564 and 702.\nAnswer: 10925928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Suppose -s - 6 = -2*t, -j*s + 7*s - 18 = -2*t. Suppose 0 = s*y - 20 + 2. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + 1 + -2*(-1 + sqrt(448) + sqrt(448)) + 4)**2.\nAnswer: -960*sqrt(7) + 35885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 38. Give s(34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3110 by -6.\nAnswer: 1555\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 - 112. Suppose -94 = -c*l - 5*d, -3*d + 162 = -l + 6*l. Calculate the greatest common factor of 33 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + ((-52)\/39 - 7495\/15). Which is greater: -503 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*t - 10. Let m(z) = -2*z + 1 - 2*z - z + t*z**2. Is m(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -5 (b) 7 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120417 and 7832?\nAnswer: 963336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49615.\nAnswer: 5, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1945 = -9*n - 163. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -604163.9 minus 380834?\nAnswer: -984997.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005689 rounded to 7 dps?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/8)\/((-273)\/56). Which is the nearest to 1? (a) -2\/7 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -395252 (base 10) in base 11?\nAnswer: -24aa60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + 5*j**3 + 2*j - 3*j**3 + 2*j**2 - 7*j**3 to q*j**4 + m + u*j + r*j**2 + f*j**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 3*j**2 - 123*j\/4 + 27.\nAnswer: 3*(j - 4)*(j - 1)*(j + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k. Suppose m + 2 = -k*m. Let v = m - 0. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -11 - (-26 + (-251 - -304))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**2 - 7*c - 3. Let l(i) = -i. Let t(s) = -6*l(s) + r(s). What is t(3)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168285816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 u, and 1 o when three letters picked without replacement from {k: 1, q: 2, u: 3, z: 4, f: 2, o: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*l**3 - 59*l**3 - 4*l**3)*((2 + 2 - 5)*(-1 + 0 + 3) + 33 - 6 - 5).\nAnswer: -2100*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 3:07 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4017646376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t*t**(-40))\/t)\/t)\/t)\/((t*t**(3\/5)\/t)\/t))\/(t**(-10))**(2\/47))**(-26) assuming t is positive.\nAnswer: t**(251576\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 3, -15 in descending order.\nAnswer: 3, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218ba (base 13) to base 15.\nAnswer: 1304e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02949862 rounded to four decimal places?\nAnswer: -0.0295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/6 (b) -336\/29 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2057*t - 8471 wrt t?\nAnswer: -2057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3) - 44\/(-66)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 29 + 1. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 + 2*i + (3 + 1 - 3)*(2 - 2 + i) - 2*i - 3 + 3 + 0*i - i - 5*i + (0 - 4 + 1)*(-2 - i + 2) as t + d*i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 smaller than -175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13155 (base 7) to base 5.\nAnswer: -103034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.3 - -17.1. Let q = 0.01 - -0.29. Sort -3, 1, q, t in decreasing order.\nAnswer: 1, q, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.014 + -8.694. Let a = m + 9. Let j = 0.3200013 - a. Round j to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000528714 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 5735.46.\nAnswer: 22941.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9650792, -9650790, -9650778, -9650750, -9650700, -9650622?\n\"Answer: y**3 - y**2 - 2*y - 9650790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000 + 21201022?\nAnswer: 21212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x + 16. Let k be i(-3). Is -7.3 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**13))\/m**25*(m\/(m\/m**(-30)))\/m**15 assuming m is positive.\nAnswer: m**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d**2 + 27*d**2 - 14*d**2 - 8*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}